ENVIRONMENTAL ASSESSMENT IN URBAN SETTINGS: ROAD TRAFFIC NOISE IN THE METROPOLITAN AREA OF THE STRAITS OF MESSINA
|
|
- Emil Lawrence
- 6 years ago
- Views:
Transcription
1 Twelfth International Congress on Sound and Vibration ENVIRONMENTAL ASSESSMENT IN URBAN SETTINGS: ROAD TRAFFIC NOISE IN THE METROPOLITAN AREA OF THE STRAITS OF MESSINA Francis Cirianni - Giovanni Leonardi DIMET, Faculty of Engineering, Mediterranea University of Reggio Calabria Feo di Vito Reggio Calabria, Italy leonardi@ing.unirc.it Abstract The aim of the study presented is the definition of a methodological approach for the quantitative analysis of the level of noise produced on and by transport infrastructures in urban settings. Noise pollution is among the environmental impacts produced by road traffic which represent a health hazard in urban settings. It is thus necessary to dispose of adequate and specific mathematical tools which can reproduce e/or simulate different acoustic scenarios. The analysis of the experimental data measured in metropolitan area of the straits of Messina, which for its particular location is always subject to heavy vehicular traffic to and from Sicily, are presented, and the output used to calibrate a forecasting model: the results are also confronted with the outputs of forecasting models known and used in literature. INTRODUCTION The adoption of particular models of calculation for the forecasting of noise pollution by road vehicles is fundamental for the design of new infrastructures or in case of transport planning and policy decision making [1] [2]. Such models are based essentially on the use of opportune formulas of regression that estimate the existing correlations between the levels of noise and some not acoustic parameters relative to the source and the distance of propagation. In the case presented the sound levels are calculated according to some specific parameters that characterize the vehicular traffic and the geometric and morphologic 1
2 characteristics of the survey site [3]. The Integrated Area of the Straits of Messina has been chosen for its territorial characteristics for the study and application of an appropriate methodology of analysis for the forecasting and assessment of the noise pollution caused by motor vehicles that daily cross this area. The area, which owes its importance to its geographic location being the gateway to Sicily, formed by the cities of Reggio Calabria on the continental side and Messina on the Sicilian side, is an area which just falls short of a million inhabitants. Heavy traffic crossing the Straits, a relatively high population density (1000 inhabitants per square km) and the growth of car ownership in absence of a transport policy has resulted with congested local traffic. The area, which is at the centre of the plan for the Bridge over the Straits of Messina, a bridge of 3.6 km in length which will have a great impact on the urban environment in general and the transport network in particular, with significant impacts, not only when operating, but also during the construction phase. The development of flexible and dynamic tools of analysis of noise pollution will also be useful to provide support to the strategic planning to diminish the environmental impacts on the territory. The area object of study is strongly conditioned from the system of transport connections between Calabria and Sicily, which is essentially concentrated in the two terminals of Villa S. Giovanni and Messina. All traffic flows cross these two nodes that in the years have grown in terms of shipping terminals, for road and rail traffic as to satisfy in a more or less efficient way all the demand. However, the presence of heavy through traffic crossing the nodes of Messina and Villa S. Giovanni, has not seen a proportional evolution on the characteristics of the systems and little transformations have happened, and the actions have been concentrated mainly on the terminals, and in part on the access routes, but without an organic and planned scheme for the crossing system as a whole. In fact, the two cities have endured the presence of through traffic without it reflecting in the organization of the structure and in the city design, and with little, if none, advantages in the growth of the urban expansion. But undoubtedly the congestion caused on the city roads, crossed by the through traffic linking an island where its resident population is almost one tenth on the whole of the Italian population, causes devastating impacts in terms of noise and air pollution. On the Sicilian side, the vehicles in transit to and from the continent must obligatorily cross the city of Messina, and in particular there are two alternatives: 1. landing at the National Railway (RFI) terminal at the S. Raineri zone, and crossing the city along via La Farina up to the motorway. 2. landing at the private ferry companies terminal and crossing the city along viale della Libertà and viale Boccetta up to the motorway. On the coast of Calabria, instead, the connections between the shipping terminal and the Motorway presents critical points of low capacity and elevated interferences with the urban settings; so the presence of queues which extend back all the 2
3 connection are not unusual. The National Railway terminal is connected directly to the motorway parking area, therefore the road traffic is connected directly to the motorway by means of a two lane underpass not interfering with the city of Villa S. Giovanni. The traffic ferrying with the private companies must, instead, cross the city roads, along via Italia and a long stretch of promenade along the sea front. CAMPAIGN OF FIELD MEASURES AND EXPERIMENTAL SURVEY A survey on the quality of the acoustic climate has been led, on the basis of the exposed considerations, on the evidence of the peculiar aspects and the criticalities due to the trough traffic flows in the area of the Straits crossing from and to the island of Sicily, concentrated on the two territorial areas of the cities of Villa S. Giovanni, on the continental side and of Messina on the Sicilian side. The measures campaign, therefore, has been carried out in the two cities in the week days in the period of September-November 2003, defining altogether 14 survey sites (5 in the city of Villa S. Giovanni and 9 in the city of Messina). Site 1 VSG - Via Garibaldi, Largo stazione Site 8 ME - Via Taormina Site 2 VSG - Via Italia, Motorway Exit Site 9 ME - Via Garibaldi Site 3 VSG - Piazzale Anas Site 10 ME - Viale della Libertà Site 4 VSG - Via Italia Site 11 ME - Viale Boccetta Site 5 VSG - Strada Statale 18 Site 12 ME - Viale Europa Site 6 ME - Piazza Repubblica - FS Station Site 13 ME - Via Taormina bis Site 7 ME - Via La Farina Site 14 ME - Marittima Station VSG: Villa San Giovanni ME: Messina Once that the survey sites have been chosen, in order to obtain a punctual assessment of the environmental noise, the chosen parameters are the equivalent level L eq, and the following percentile levels: L 10, L 50 and L 90 (they represent the levels of noise measured respectively for 10%, 50%, 90% of the time). NOISE FORECASTING MODELS The models proposed in literature, differentiated by various levels of complexity, demand the knowledge of a series of parameters to be estimated experimentally, to define some coefficients to adapt to the specific studied situations [3]. Such coefficients are influenced unavoidably by the measure conditions in which they have been defined. Therefore it follows a not immediate transportability of the model to different kind of street and of traffic configurations from those for which the models have been calibrated. The models more frequently used are characterized from a structure which can be expressed analytically by means of the following synthetic relation: 3
4 0 n i ( i) (1) L= a + a f x i= 1 In which L represents the selected indicator in order to describe the noise event (usually the weighted equivalent level L Aeq, or the percentile levels L x ) and f(x i ) indicates a function, generally logarithmic, of different not acoustic variables x used for the determination of the sound levels. Surveys carried out in the cities of Villa S. Giovanni and Messina It was chosen to carry out the measures during day hours, in an interval of time between 8:00 a.m. and 7:00 p.m. and altogether the data is divided in 9 hour slots. The sampling interval inside the hourly slots has been of 15 minutes. For the 14 monitoring sites, the following characteristics were recorded: 1) geometry (width of the track, width of the sidewalks on the monitoring side and the opposite side, number of available lanes for the vehicular traffic, height of the buildings on the monitoring side and on the opposite side); 2) the composition of the traffic flow; 3) the average running speed; 4) the levels of noise; 5) marching directions; 6) parkings; 7) characteristics of street paving; 8) longitudinal slope. For the kind and composition of the traffic flow the mobile sources of noise have been classified, subdivided in the following categories: a) motorcycles and cycles; b) motor vehicles; c) light goods vehicles; d) heavy goods vehicles; e) buses. Once the data base containing all the useful information for a complete and exhaustive acoustic-morphologic characterization of the studied sites has been set up, the independent variables of input for the definition of the regressive forecasting models can be defined. It must be remembered that starting from the traffic data and other not acoustic variables, by the application of the models it is possible to find the equivalent levels of corresponding noise. Therefore, the coefficients of correlation were estimated with the aim to characterize the variables that mainly influence the levels of noise. The statistic analysis led preliminarily has allowed to characterize the two regressive models that better seem to adapt themselves to the peculiarities of the study area [4]: the first one is an evolution of the model CRTN (Calculation of Road Traffic Noise), developed from the Department of Transport (UK), for the assessment of the statistical level L 10 db(a) of the noise from street traffic; the equation proposed by the CRTN model is the following: 500 5p L10 = 10 log Q+ 33log V log G 27.6 V V (2) where the considered variables are: 1) the flow Q(veic/h); 2) average speed V(km/h); 3) the composition of the vehicular traffic (in terms of percentage of 4
5 heavy vehicles with empty weight greater than 1525kg) p(%); 4) the slope of the road G(%); from (2) the following general equation for the calculation of L eq is obtained: p L = α log Q+ α log V α log 1+ + α G+ α V V R1: eq (3) the second, instead, allows to estimate the acoustic levels, introducing the concept of equivalent flow Q e, by the relation: 15 L = β log Q + β log + β V + β G+ β d R2: eq 1 e (4) Q e (veic/h) holds account of the presence of heavy vehicles (assuming 1HV = 6LV and 1 motorcycle = 2LV), while d (m) measure the width of the semi track. Through a successive not linear regressive analysis the coefficients α 1, α 2, α 3, α 4, α 5 and β 1, β 2, β 3, β 4, β 5 have been estimated, obtaining: p L = 5.98 log Q log V log G eq V V 15 Leq = 4.42 log Qe 0.03 log V G d (5) (6) Leq measured R1 (R=0.74) R2 (R=0.73) Figure 1 Measured and estimated L eq DEFINITION OF A FORECASTING FUZZY MODEL In parallel with the modelling with the given models, the application of neural-fuzzy models to the forecasting problem of acoustic pollution is presented, applying adaptive a neural-fuzzy inference system (ANFIS). These techniques provide a method for the fuzzy modelling procedure to learn information about a data set, in order to compute the membership function parameters 5
6 that best allow the associated fuzzy inference system to track the given input/output data. This learning method works similarly to that of neural networks. The ANFIS using a given input/output data set constructs a fuzzy inference system (FIS) whose membership function parameters are tuned (adjusted) using either back propagation algorithm alone, or in combination with a least square type of method. This allows the fuzzy system to learn from the modelling data [5]. Fuzzy models Fuzzy modelling is usually based on rule-based models. The most common alternatives are linguistic fuzzy, which suit well extracting expert knowledge. The employed fuzzy model in the present study refers to a particular method of inference called Takagi-Sugeno-Kang (TSK) which allows to construct the system of analysis from a set of example data [6]. Takagi-Sugeno-Kang models are suitable for approximation of a large class of non-linear systems. In Takagi-Sugeno-Kang (TSK) fuzzy model, the rule consequents are crisp functions of the model inputs [7]: R i : If x 1 is A i1 and x 2 is A i2 and.. and x n is A in then y i = a i x + b i with i =1, 2,, K, where R i is the i-th rule, x 1, x 2,..., x n are the input variables, A i1, A i2,.., A in are the fuzzy sets assigned to corresponding input variables, variable y i represents the value of the i-th rule output, and a i and b i are parameters of the consequent function. The final output of the TSK fuzzy model ( y ˆk ) for an arbitrary x k input sample is the weighted average of all rule outputs, calculated using the following expression: ( x ) y ( x ) β ( x ) k β i= 1 j k i k ˆ k =, = 1, 2,3,..., k i= 1 i k y k n where y i (x k ) is output of i-th rule for x k (k-th) input sample, and β i represent the firing strength of the i-th rule. The aim is to generate a TSK fuzzy model through a learning process on the base of a data set of input/output. The parameters associated with the membership functions will change through the learning process. The computation of these parameters (or their adjustment) is facilitated by a gradient vector, which provides a measure of how well the fuzzy inference system is modelling the input/output data for a given set of parameters. Once the gradient vector is obtained, any of several optimization routines could be applied in order to adjust the parameters so as to reduce some error measure (usually defined by the sum of the squared difference between actual and desired outputs). At the end more computational simplicity was obtained using clustering methods for partitioning the input output. The purpose of clustering is to find natural groupings of data in a large data set, 6
7 thus revealing patterns in the data that can provide a concise representation of the data behaviour. The learning data, divided into these information clusters, are then interpreted as rules. Methods of fuzzy clustering, such as fuzzy C-means 1 (FCM), are convenient tools for the process of partitioning of the input space or input output space. Clustering algorithms typically require the user to pre-specify the number of cluster centres and their initial locations; the locations of the cluster centres are then adapted in a way such that the cluster centres can better represent a set of archetypical data points covering the range of data behaviour. If user doesn t have a clear idea how many clusters there should be for a given set of data, subtractive clustering can be applied this is a fast, one-pass algorithm for estimating the number of clusters and the cluster centres in a set of data. In the subtractive clustering method each data point is considered as a potential cluster centre. The cluster estimates obtained using the subtractive clustering method can be used to initialize iterative optimization-based clustering methods and model identification methods [7]. INPUT INPUTmf RULE OUTPUTmf OUTPUT Model Construction Figure 2 ANFIS architecture The modelling approach used is similar to many system identification techniques. Initially a parameterised model structure is assumed, then the training phase is started for the validation of the model. Model validation is the process by which the input vectors from input/output data sets on which the fuzzy inference system (FIS) was not trained, are presented to the trained FIS model, to see how well the FIS model predicts the corresponding data set output values. To start training an FIS first it is essential to build a training data set that contains desired input/output data pairs of the target system to be modelled. 1 Fuzzy C-means (FCM) is a data clustering technique where each data point belongs to a cluster to some degree that is specified by a membership grade. It provides a method that shows how to group data points that populate some multidimensional space into a specific number of different clusters. 7
8 Sometimes it is also necessary to have a checking data set that is used to control the potential for the model over fitting during the training. Therefore, after having defined as input variables the total flow (Q tot ), the percentage of heavy vehicles (p), average speed (V) the lane width (d) and as output the equivalent sound level (L eq ), the available data is divided, following mainly random criteria, in two sets: the first for the training phase (training data) and the second for the checking phase (checking data), in particular, 94 data points were used as training data and 60 data points as checking data. To optimize the response of the designed model the trend of RMS (root mean square error) was analysed as the training phase varied (figure 3) RMS training checking Epoch Figure 3 Training and checking error After the training (60 epochs) the model has improved a lot with respect to the training data, but only a little with respect to the checking data, furthermore it has been noticed that past the 45 th epochs the system no longer does a very good job of fitting the checking data. The result is a loss of generality so the training process was interrupted at the 45 th epoch when the smallest value of the checking error occurs. Completed the phase of training, it can be observed as the ANFIS model succeeds to describe the problem adequately, in fact, the forecast error of the answers is contained within acceptable values, and furthermore the model guarantees always a greater precision in respect to all the considered regressive models (figure 4). 82 training data 78 checking data Leq measured Leq estimated Leq 74 Leq Leq measured Leq estimated Figure 4 Model performance for training and checking data 8
9 Finally in the following table the characteristic values of the performance for the R1, R2 and ANFIS models are shown. RMS Mean error Correlation Standard deviation ANFIS R R training checking Table 1 Characteristics of the models CONCLUSIONS Main aim of the presented study is the analysis of the acoustic climate of the area between Sicily and Calabria interested by the crossing and the future construction of the bridge on the Strait of Messina. Therefore, following a significant campaign of measures, a methodological approach for the forecasting of noise pollution due to vehicular traffic was adopted, defining two regressive models opportunely calibrated with the data measured in relation to the transit of vehicles crossing from and to Sicily. Furthermore, a fuzzy model of Takagi-Sugeno-Kang (TSK) constructed with method ANFIS on the base of the measured data set was applied. Both the proposed approaches have demonstrated a good reliability allowing to face the study of the urban noise produced by vehicular traffic, using as known variables only the characteristics of traffic and of roads (table 1). REFERENCES [1] Corriere F., Lo Bosco D., Valutazione previsionale dell inquinamento acustico nella viabilità urbana. Autostrade, N. 1, [2] Cirianni F., Leonardi G., The application of a neural network on a study of noise pollution in urban transport: a case in Villa S. Giovanni. Air Pollution XII, WITpress, [3] ANPA Agenzia Nazionale per la Protezione dell Ambiente, Rassegna dei modelli per il rumore, i campi elettromagnetici e la radioattività ambientale. RTI CTN_AGF 1/2001. [4] Steele C., A critical review of some traffic noise prediction models. Applied Acoustics, Elsevier, [5] Isokangas A., Juuso E., Fuzzy modelling with linguistic equations [6] Kukolj D., Design of adaptive Takagi Sugeno Kang fuzzy models. Applied Soft Computing, Elsevier, [7] Chiu S., Extracting Fuzzy Rules from Data for Function Approximation and Pattern Classification. Fuzzy Information Engineering: A Guided Tour of Applications,
An algorithm for mapping noise produced by urban transport services
8 th International Symposium TRANSPORT NOISE AND VIBRATION 4 6 June 2006, St. Petersburg, Russia An algorithm for mapping noise produced by urban transport services Sergio Luzzi (), Michele Basta (2),
More informationMODELING FOR RESIDUAL STRESS, SURFACE ROUGHNESS AND TOOL WEAR USING AN ADAPTIVE NEURO FUZZY INFERENCE SYSTEM
CHAPTER-7 MODELING FOR RESIDUAL STRESS, SURFACE ROUGHNESS AND TOOL WEAR USING AN ADAPTIVE NEURO FUZZY INFERENCE SYSTEM 7.1 Introduction To improve the overall efficiency of turning, it is necessary to
More informationADAPTIVE NEURO FUZZY INFERENCE SYSTEM FOR HIGHWAY ACCIDENTS ANALYSIS
ADAPTIVE NEURO FUZZY INFERENCE SYSTEM FOR HIGHWAY ACCIDENTS ANALYSIS Gianluca Dell Acqua, Renato Lamberti e Francesco Abbondanti Dept. of Transportation Engineering Luigi Tocchetti, University of Naples
More informationA NEURAL NETWORK BASED TRAFFIC-FLOW PREDICTION MODEL. Bosnia Herzegovina. Denizli 20070, Turkey. Buyukcekmece, Istanbul, Turkey
Mathematical and Computational Applications, Vol. 15, No. 2, pp. 269-278, 2010. Association for Scientific Research A NEURAL NETWORK BASED TRAFFIC-FLOW PREDICTION MODEL B. Gültekin Çetiner 1, Murat Sari
More informationCHAPTER 4 FUZZY LOGIC, K-MEANS, FUZZY C-MEANS AND BAYESIAN METHODS
CHAPTER 4 FUZZY LOGIC, K-MEANS, FUZZY C-MEANS AND BAYESIAN METHODS 4.1. INTRODUCTION This chapter includes implementation and testing of the student s academic performance evaluation to achieve the objective(s)
More informationEuropean Journal of Science and Engineering Vol. 1, Issue 1, 2013 ADAPTIVE NEURO-FUZZY INFERENCE SYSTEM IDENTIFICATION OF AN INDUCTION MOTOR
ADAPTIVE NEURO-FUZZY INFERENCE SYSTEM IDENTIFICATION OF AN INDUCTION MOTOR Ahmed A. M. Emam College of Engineering Karrary University SUDAN ahmedimam1965@yahoo.co.in Eisa Bashier M. Tayeb College of Engineering
More informationMicroscopic Traffic Simulation
Microscopic Traffic Simulation Lecture Notes in Transportation Systems Engineering Prof. Tom V. Mathew Contents Overview 2 Traffic Simulation Models 2 2. Need for simulation.................................
More informationA New Fuzzy Neural System with Applications
A New Fuzzy Neural System with Applications Yuanyuan Chai 1, Jun Chen 1 and Wei Luo 1 1-China Defense Science and Technology Information Center -Network Center Fucheng Road 26#, Haidian district, Beijing
More informationChapter 16. Microscopic Traffic Simulation Overview Traffic Simulation Models
Chapter 6 Microscopic Traffic Simulation 6. Overview The complexity of traffic stream behaviour and the difficulties in performing experiments with real world traffic make computer simulation an important
More informationHEURISTICS FOR THE NETWORK DESIGN PROBLEM
HEURISTICS FOR THE NETWORK DESIGN PROBLEM G. E. Cantarella Dept. of Civil Engineering University of Salerno E-mail: g.cantarella@unisa.it G. Pavone, A. Vitetta Dept. of Computer Science, Mathematics, Electronics
More informationCHAPTER 3 FUZZY RULE BASED MODEL FOR FAULT DIAGNOSIS
39 CHAPTER 3 FUZZY RULE BASED MODEL FOR FAULT DIAGNOSIS 3.1 INTRODUCTION Development of mathematical models is essential for many disciplines of engineering and science. Mathematical models are used for
More informationNEW HYBRID LEARNING ALGORITHMS IN ADAPTIVE NEURO FUZZY INFERENCE SYSTEMS FOR CONTRACTION SCOUR MODELING
Proceedings of the 4 th International Conference on Environmental Science and Technology Rhodes, Greece, 3-5 September 05 NEW HYBRID LEARNING ALGRITHMS IN ADAPTIVE NEUR FUZZY INFERENCE SYSTEMS FR CNTRACTIN
More informationFuzzy if-then rules fuzzy database modeling
Fuzzy if-then rules Associates a condition described using linguistic variables and fuzzy sets to a conclusion A scheme for capturing knowledge that involves imprecision 23.11.2010 1 fuzzy database modeling
More informationMINING OPERATIONAL DATA FOR IMPROVING GSM NETWORK PERFORMANCE
MINING OPERATIONAL DATA FOR IMPROVING GSM NETWORK PERFORMANCE Antonio Leong, Simon Fong Department of Electrical and Electronic Engineering University of Macau, Macau Edison Lai Radio Planning Networks
More informationActivity-Based Human Mobility Patterns Inferred from Mobile Phone Data: A Case Study of Singapore
Activity-Based Human Mobility Patterns Inferred from Mobile Phone Data: A Case Study of Singapore By: Shan Jiang, Joseph Ferreira, Jr., and Marta C. Gonzalez Published in: 2017 Presented by: Masijia Qiu
More informationCHAPTER 8 ANFIS MODELING OF FLANK WEAR 8.1 AISI M2 HSS TOOLS
CHAPTER 8 ANFIS MODELING OF FLANK WEAR 8.1 AISI M2 HSS TOOLS Control surface as shown in Figs. 8.1 8.3 gives the interdependency of input, and output parameters guided by the various rules in the given
More informationTHE LIFE DYNAMAP PROJECT Towards the future of real-time noise mapping
1 THE LIFE DYNAMAP PROJECT Towards the future of real-time noise mapping P.Bellucci ANAS S.p.A. - Research Centre, Rome (Italy) 2 WHAT IS THE DYNAMAP PROJECT? The DYNAMAP Project is a LIFE+ project aiming
More informationBathymetry estimation from multi-spectral satellite images using a neuro-fuzzy technique
Bathymetry estimation from multi-spectral satellite Linda Corucci a, Andrea Masini b, Marco Cococcioni a a Dipartimento di Ingegneria dell Informazione: Elettronica, Informatica, Telecomunicazioni. University
More informationESTIMATING THE COST OF ENERGY USAGE IN SPORT CENTRES: A COMPARATIVE MODELLING APPROACH
ESTIMATING THE COST OF ENERGY USAGE IN SPORT CENTRES: A COMPARATIVE MODELLING APPROACH A.H. Boussabaine, R.J. Kirkham and R.G. Grew Construction Cost Engineering Research Group, School of Architecture
More informationDESIGN OF AN ELEVATOR GROUP CONTROLLER USING TYPE-2 FUZZY LOGIC
bidang REKAYASA DESIGN OF AN ELEVATOR GROUP CONTROLLER USING TYPE-2 FUZZY LOGIC MUHAMMAD ARIA Department of Electrical Engineering Engineering and Computer Science Faculty Universitas Komputer Indonesia
More informationIn the Name of God. Lecture 17: ANFIS Adaptive Network-Based Fuzzy Inference System
In the Name of God Lecture 17: ANFIS Adaptive Network-Based Fuzzy Inference System Outline ANFIS Architecture Hybrid Learning Algorithm Learning Methods that Cross-Fertilize ANFIS and RBFN ANFIS as a universal
More information^ Springer. Computational Intelligence. A Methodological Introduction. Rudolf Kruse Christian Borgelt. Matthias Steinbrecher Pascal Held
Rudolf Kruse Christian Borgelt Frank Klawonn Christian Moewes Matthias Steinbrecher Pascal Held Computational Intelligence A Methodological Introduction ^ Springer Contents 1 Introduction 1 1.1 Intelligent
More informationGRANULAR COMPUTING AND EVOLUTIONARY FUZZY MODELLING FOR MECHANICAL PROPERTIES OF ALLOY STEELS. G. Panoutsos and M. Mahfouf
GRANULAR COMPUTING AND EVOLUTIONARY FUZZY MODELLING FOR MECHANICAL PROPERTIES OF ALLOY STEELS G. Panoutsos and M. Mahfouf Institute for Microstructural and Mechanical Process Engineering: The University
More informationRECOMMENDATION ITU-R P DIGITAL TOPOGRAPHIC DATABASES FOR PROPAGATION STUDIES. (Question ITU-R 202/3)
Rec. ITU-R P.1058-1 1 RECOMMENDATION ITU-R P.1058-1 DIGITAL TOPOGRAPHIC DATABASES FOR PROPAGATION STUDIES (Question ITU-R 202/3) Rec. ITU-R P.1058-1 (1994-1997) The ITU Radiocommunication Assembly, considering
More informationIntelligent Methods in Modelling and Simulation of Complex Systems
SNE O V E R V I E W N OTE Intelligent Methods in Modelling and Simulation of Complex Systems Esko K. Juuso * Control Engineering Laboratory Department of Process and Environmental Engineering, P.O.Box
More informationQUEUEING MODELS FOR UNINTERRUPTED TRAFFIC FLOWS
QUEUEING MODELS FOR UNINTERRUPTED TRAFFIC FLOWS An assignment submitted by Bhaskararao Boddu ( 06212306) Msc(Mathematics) Indian Institute of Technology Guwahati. 1 INTRODUCTION Due to increased ownership
More informationCONTRIBUTION TO THE INVESTIGATION OF STOPPING SIGHT DISTANCE IN THREE-DIMENSIONAL SPACE
National Technical University of Athens School of Civil Engineering Department of Transportation Planning and Engineering Doctoral Dissertation CONTRIBUTION TO THE INVESTIGATION OF STOPPING SIGHT DISTANCE
More informationESTIMATING PARAMETERS FOR MODIFIED GREENSHIELD S MODEL AT FREEWAY SECTIONS FROM FIELD OBSERVATIONS
0 ESTIMATING PARAMETERS FOR MODIFIED GREENSHIELD S MODEL AT FREEWAY SECTIONS FROM FIELD OBSERVATIONS Omor Sharif University of South Carolina Department of Civil and Environmental Engineering 00 Main Street
More informationComparison of integrated GPS-IMU aided by map matching and stand-alone GPS aided by map matching for urban and suburban areas
Comparison of integrated GPS-IMU aided by map matching and stand-alone GPS aided by map matching for urban and suburban areas Yashar Balazadegan Sarvrood and Md. Nurul Amin, Milan Horemuz Dept. of Geodesy
More informationMapping Distance and Density
Mapping Distance and Density Distance functions allow you to determine the nearest location of something or the least-cost path to a particular destination. Density functions, on the other hand, allow
More informationWithin-day traffic assignment and signal setting in road evacuation: a procedure with explicit path enumeration
Safety and Security Engineering IV 403 Within-day traffic assignment and signal setting in road evacuation: a procedure with explicit path enumeration F. A. Marcianò, G. Musolino & A. Vitetta Università
More informationLiquefaction Analysis in 3D based on Neural Network Algorithm
Liquefaction Analysis in 3D based on Neural Network Algorithm M. Tolon Istanbul Technical University, Turkey D. Ural Istanbul Technical University, Turkey SUMMARY: Simplified techniques based on in situ
More informationGENERAL AUTOMATED FLAW DETECTION SCHEME FOR NDE X-RAY IMAGES
GENERAL AUTOMATED FLAW DETECTION SCHEME FOR NDE X-RAY IMAGES Karl W. Ulmer and John P. Basart Center for Nondestructive Evaluation Department of Electrical and Computer Engineering Iowa State University
More informationINCREASING CLASSIFICATION QUALITY BY USING FUZZY LOGIC
JOURNAL OF APPLIED ENGINEERING SCIENCES VOL. 1(14), issue 4_2011 ISSN 2247-3769 ISSN-L 2247-3769 (Print) / e-issn:2284-7197 INCREASING CLASSIFICATION QUALITY BY USING FUZZY LOGIC DROJ Gabriela, University
More informationRainfall-runoff modelling of a watershed
Rainfall-runoff modelling of a watershed Pankaj Kumar Devendra Kumar GBPUA & T Pantnagar (US Nagar),India Abstract In this study an adaptive neuro-fuzzy inference system was used for rainfall-runoff modelling
More informationEVALUATION METHOD OF DYNAMIC TRAFFIC OPERATION AND A CASE STUDY ON VARIABLE CHANNELIZATION FOR MERGING SECTIONS
EVALUATION METHOD OF DYNAMIC TRAFFIC OPERATION AND A CASE STUDY ON VARIABLE CHANNELIZATION FOR MERGING SECTIONS Sungjoon HONG, Dr. Eng., Research Associate, the University of Tokyo 4-6-1 Komaba, Meguro,
More informationAnalytical model A structure and process for analyzing a dataset. For example, a decision tree is a model for the classification of a dataset.
Glossary of data mining terms: Accuracy Accuracy is an important factor in assessing the success of data mining. When applied to data, accuracy refers to the rate of correct values in the data. When applied
More informationANFIS: ADAPTIVE-NETWORK-BASED FUZZY INFERENCE SYSTEMS (J.S.R. Jang 1993,1995) bell x; a, b, c = 1 a
ANFIS: ADAPTIVE-NETWORK-ASED FUZZ INFERENCE SSTEMS (J.S.R. Jang 993,995) Membership Functions triangular triangle( ; a, a b, c c) ma min = b a, c b, 0, trapezoidal trapezoid( ; a, b, a c, d d) ma min =
More informationFall 2017 ECEN Special Topics in Data Mining and Analysis
Fall 2017 ECEN 689-600 Special Topics in Data Mining and Analysis Nick Duffield Department of Electrical & Computer Engineering Teas A&M University Organization Organization Instructor: Nick Duffield,
More informationOPTIMIZATION. Optimization. Derivative-based optimization. Derivative-free optimization. Steepest descent (gradient) methods Newton s method
OPTIMIZATION Optimization Derivative-based optimization Steepest descent (gradient) methods Newton s method Derivative-free optimization Simplex Simulated Annealing Genetic Algorithms Ant Colony Optimization...
More informationOPTIMIZING HIGHWAY PROFILES FOR INDIVIDUAL COST ITEMS
Dabbour E. Optimizing Highway Profiles for Individual Cost Items UDC: 656.11.02 DOI: http://dx.doi.org/10.7708/ijtte.2013.3(4).07 OPTIMIZING HIGHWAY PROFILES FOR INDIVIDUAL COST ITEMS Essam Dabbour 1 1
More informationA Data Classification Algorithm of Internet of Things Based on Neural Network
A Data Classification Algorithm of Internet of Things Based on Neural Network https://doi.org/10.3991/ijoe.v13i09.7587 Zhenjun Li Hunan Radio and TV University, Hunan, China 278060389@qq.com Abstract To
More informationOn A Traffic Control Problem Using Cut-Set of Graph
1240 On A Traffic Control Problem Using Cut-Set of Graph Niky Baruah Department of Mathematics, Dibrugarh University, Dibrugarh : 786004, Assam, India E-mail : niky_baruah@yahoo.com Arun Kumar Baruah Department
More informationinter.noise 2000 The 29th International Congress and Exhibition on Noise Control Engineering August 2000, Nice, FRANCE
Copyright SFA - InterNoise 2000 1 inter.noise 2000 The 29th International Congress and Exhibition on Noise Control Engineering 27-30 August 2000, Nice, FRANCE I-INCE Classification: 3.1 FACTORS AFFECTING
More informationA Neuro-Fuzzy Application to Power System
2009 International Conference on Machine Learning and Computing IPCSIT vol.3 (2011) (2011) IACSIT Press, Singapore A Neuro-Fuzzy Application to Power System Ahmed M. A. Haidar 1, Azah Mohamed 2, Norazila
More informationModeling of ambient O 3 : a comparative study
Modeling of ambient O 3 : a comparative study Biljana Mileva-Boshkoska Abstract Air pollution is one of the biggest environmental concerns. Besides passive monitoring, the recent trend is shifting towards
More informationFigure 1: Workflow of object-based classification
Technical Specifications Object Analyst Object Analyst is an add-on package for Geomatica that provides tools for segmentation, classification, and feature extraction. Object Analyst includes an all-in-one
More informationFuzzy Expert Systems Lecture 8 (Fuzzy Systems)
Fuzzy Expert Systems Lecture 8 (Fuzzy Systems) Soft Computing is an emerging approach to computing which parallels the remarkable ability of the human mind to reason and learn in an environment of uncertainty
More informationThe analysis of inverted pendulum control and its other applications
Journal of Applied Mathematics & Bioinformatics, vol.3, no.3, 2013, 113-122 ISSN: 1792-6602 (print), 1792-6939 (online) Scienpress Ltd, 2013 The analysis of inverted pendulum control and its other applications
More informationAbstract
Australasian Transport Research Forum 2013 Proceedings 2-4 October 2013, Brisbane, Australia Publication website: http://www.patrec.org/atrf.aspx Minimising GEH in Static OD estimation Aleix Ruiz de Villa
More informationIdentification of Vehicle Class and Speed for Mixed Sensor Technology using Fuzzy- Neural & Genetic Algorithm : A Design Approach
Identification of Vehicle Class and Speed for Mixed Sensor Technology using Fuzzy- Neural & Genetic Algorithm : A Design Approach Prashant Sharma, Research Scholar, GHRCE, Nagpur, India, Dr. Preeti Bajaj,
More informationFuzzy Mod. Department of Electrical Engineering and Computer Science University of California, Berkeley, CA Generalized Neural Networks
From: AAAI-91 Proceedings. Copyright 1991, AAAI (www.aaai.org). All rights reserved. Fuzzy Mod Department of Electrical Engineering and Computer Science University of California, Berkeley, CA 94 720 1
More informationQUEUEING MODELS FOR UNINTERRUPTED TRAFFIC FLOWS
QUEUEING MODELS FOR UNINTERRUPTED TRAFFIC FLOWS Tom Van Woensel and Nico Vandaele Faculty of Applied Economics UFSIA-RUCA, University of Antwerp E-mail: tom.vanwoensel@ufsia.ac.be E-mail: nico.vandaele@ufsia.ac.be
More informationCellular Automata and Roundabout Traffic Simulation
Cellular Automata and Roundabout Traffic Simulation Enrico G. Campari 1, Giuseppe Levi 1, and Vittorio Maniezzo 2 1 Scienze dell Informazione dell Università di Bologna, sede di Cesena via Sacchi, 3 I-47023
More information5. Mobile voice and data services
5. Mobile voice and data services 5.1 Our expectation of mobile services is changing as we become more dependent on mobile services and need to access them wherever we are indoors, outdoors or on the move.
More informationExploring Gaussian and Triangular Primary Membership Functions in Non-Stationary Fuzzy Sets
Exploring Gaussian and Triangular Primary Membership Functions in Non-Stationary Fuzzy Sets S. Musikasuwan and J.M. Garibaldi Automated Scheduling, Optimisation and Planning Group University of Nottingham,
More information* Hyun Suk Park. Korea Institute of Civil Engineering and Building, 283 Goyangdae-Ro Goyang-Si, Korea. Corresponding Author: Hyun Suk Park
International Journal Of Engineering Research And Development e-issn: 2278-067X, p-issn: 2278-800X, www.ijerd.com Volume 13, Issue 11 (November 2017), PP.47-59 Determination of The optimal Aggregation
More informationTHE VARIABILITY OF FUZZY AGGREGATION METHODS FOR PARTIAL INDICATORS OF QUALITY AND THE OPTIMAL METHOD CHOICE
THE VARIABILITY OF FUZZY AGGREGATION METHODS FOR PARTIAL INDICATORS OF QUALITY AND THE OPTIMAL METHOD CHOICE Mikhail V. Koroteev 1, Pavel V. Tereliansky 1, Oleg I. Vasilyev 2, Abduvap M. Zulpuyev 3, Kadanbay
More informationReview on Performance Metrics for Energy Efficiency in Data Center: The Role of Thermal Management
Review on Performance Metrics for Energy Efficiency in Data Center: The Role of Thermal Management Alfonso Capozzoli 1, Marta Chinnici 2,, Marco Perino 1, Gianluca Serale 1 1 Politecnico di Torino, Corso
More informationAircraft Landing Control Using Fuzzy Logic and Neural Networks
Aircraft Landing Control Using Fuzzy Logic and Neural Networks Elvira Lakovic Intelligent Embedded Systems elc10001@student.mdh.se Damir Lotinac Intelligent Embedded Systems dlc10001@student.mdh.se ABSTRACT
More informationADAPTIVE TRAFFIC LIGHT IN IMAGE PROCESSING BASED- INTELLIGENT TRANSPORTATION SYSTEM: A REVIEW
ADAPTIVE TRAFFIC LIGHT IN IMAGE PROCESSING BASED- INTELLIGENT TRANSPORTATION SYSTEM: A REVIEW 1 Mustafa Mohammed Hassan Mustafa* 2 Atika Malik * 3 Amir Mohammed Talib Faculty of Engineering, Future University,
More informationCHAPTER 4 MAINTENANCE STRATEGY SELECTION USING TOPSIS AND FUZZY TOPSIS
59 CHAPTER 4 MAINTENANCE STRATEGY SELECTION USING TOPSIS AND FUZZY TOPSIS 4.1 INTRODUCTION The development of FAHP-TOPSIS and fuzzy TOPSIS for selection of maintenance strategy is elaborated in this chapter.
More informationMicroscopic Traffic Simulation
Transportation System Engineering 37. Microscopic Traffic Simulation Chapter 37 Microscopic Traffic Simulation 37. Overview The complexity of traffic stream behaviour and the difficulties in performing
More informationDes Moines Area Regional Transit Non Rider Survey
Moines Area Regional Transit Non Rider Survey helping organizations make better decisions since 1982 Findings Report Submitted to the Moines Area Regional Transit Authority by: ETC Institute 725 W. Frontier
More informationNovember 28, 2012 ALTERNATIVES ANALYSIS PUBLIC MEETING
November 28, 2012 ALTERNATIVES ANALYSIS PUBLIC MEETING Project Background Description of the Project Alternatives Analysis Process Project Progress Activity Stations Comments Adjourn 2 VIA spent 2 years
More informationEnduring Understandings: Some basic math skills are required to be reviewed in preparation for the course.
Curriculum Map for Functions, Statistics and Trigonometry September 5 Days Targeted NJ Core Curriculum Content Standards: N-Q.1, N-Q.2, N-Q.3, A-CED.1, A-REI.1, A-REI.3 Enduring Understandings: Some basic
More information* The terms used for grading are: - bad - good
Hybrid Neuro-Fuzzy Systems or How to Combine German Mechanics with Italian Love by Professor Michael Negnevitsky University of Tasmania Introduction Contents Heterogeneous Hybrid Systems Diagnosis of myocardial
More informationCLASSIFICATION WITH RADIAL BASIS AND PROBABILISTIC NEURAL NETWORKS
CLASSIFICATION WITH RADIAL BASIS AND PROBABILISTIC NEURAL NETWORKS CHAPTER 4 CLASSIFICATION WITH RADIAL BASIS AND PROBABILISTIC NEURAL NETWORKS 4.1 Introduction Optical character recognition is one of
More informationCHAPTER 3 ADAPTIVE NEURO-FUZZY INFERENCE SYSTEM
33 CHAPTER 3 ADAPTIVE NEURO-FUZZY INFERENCE SYSTEM The objective of an ANFIS (Jang 1993) is to integrate the best features of Fuzzy Systems and Neural Networks. ANFIS is one of the best tradeoffs between
More informationIoT Based Traffic Signalling System
IoT Based Traffic Signalling System Ashok. P.V B.Tech Graduate, Department of Information Technology, SivaSankari.S Assistant Professor, Department of Information Technology, Vignesh Mani B.Tech Graduate,
More informationFUZZY INFERENCE SYSTEMS
CHAPTER-IV FUZZY INFERENCE SYSTEMS Fuzzy inference is the process of formulating the mapping from a given input to an output using fuzzy logic. The mapping then provides a basis from which decisions can
More informationALGEBRA II A CURRICULUM OUTLINE
ALGEBRA II A CURRICULUM OUTLINE 2013-2014 OVERVIEW: 1. Linear Equations and Inequalities 2. Polynomial Expressions and Equations 3. Rational Expressions and Equations 4. Radical Expressions and Equations
More informationLecture notes. Com Page 1
Lecture notes Com Page 1 Contents Lectures 1. Introduction to Computational Intelligence 2. Traditional computation 2.1. Sorting algorithms 2.2. Graph search algorithms 3. Supervised neural computation
More informationCHAPTER 3 AN OVERVIEW OF DESIGN OF EXPERIMENTS AND RESPONSE SURFACE METHODOLOGY
23 CHAPTER 3 AN OVERVIEW OF DESIGN OF EXPERIMENTS AND RESPONSE SURFACE METHODOLOGY 3.1 DESIGN OF EXPERIMENTS Design of experiments is a systematic approach for investigation of a system or process. A series
More informationMobility Modeling in Third Generation Mobile Telecommunication Systems
Mobility Modeling in Third Generation Mobile Telecommunication Systems J.G.Markoulidakis, G.L.Lyberopoulos, D.F.Tsirkas, E.D.Sykas National Technical University of Athens (NTUA) Department of Electrical
More informationA SMART PORT CITY IN THE INTERNET OF EVERYTHING (IOE) ERA VERNON THAVER, CTO, CISCO SYSTEMS SOUTH AFRICA
A SMART PORT CITY IN THE INTERNET OF EVERYTHING (IOE) ERA VERNON THAVER, CTO, CISCO SYSTEMS SOUTH AFRICA Who is Cisco? Convergence of Mobile, Social, Cloud, and Data Is Driving Digital Disruption Digital
More informationDefining and Measuring Urban Conges on
Primer on Defining and Measuring Urban Conges on Introduc on Traffic congestion has become a major challenge in most urban areas. In recent years, the development of measures to mitigate traffic congestion
More informationWiSHF L. Stathes Hadjiefthymiades National and Kapodistrian University of Athens
CONTEXTUAL INFERENCE OVER IOT NODES - UNITE - UFRJ Stathes Hadjiefthymiades National and Kapodistrian University of Athens The research leading to these results has received funding from the European Horizon
More informationMATHEMATICAL IMAGE PROCESSING FOR AUTOMATIC NUMBER PLATE RECOGNITION SYSTEM
J. KSIAM Vol.14, No.1, 57 66, 2010 MATHEMATICAL IMAGE PROCESSING FOR AUTOMATIC NUMBER PLATE RECOGNITION SYSTEM SUNHEE KIM, SEUNGMI OH, AND MYUNGJOO KANG DEPARTMENT OF MATHEMATICAL SCIENCES, SEOUL NATIONAL
More informationECM A Novel On-line, Evolving Clustering Method and Its Applications
ECM A Novel On-line, Evolving Clustering Method and Its Applications Qun Song 1 and Nikola Kasabov 2 1, 2 Department of Information Science, University of Otago P.O Box 56, Dunedin, New Zealand (E-mail:
More informationPart I, Chapters 4 & 5. Data Tables and Data Analysis Statistics and Figures
Part I, Chapters 4 & 5 Data Tables and Data Analysis Statistics and Figures Descriptive Statistics 1 Are data points clumped? (order variable / exp. variable) Concentrated around one value? Concentrated
More informationUrban Road Traffic Simulation Techniques
ANALELE UNIVERSITĂłII EFTIMIE MURGU REŞIłA ANUL XVIII, NR. 2, 2011, ISSN 1453-7397 Ana Maria Nicoleta Mocofan Urban Road Traffic Simulation Techniques For achieving a reliable traffic control system it
More informationANALYSIS AND REASONING OF DATA IN THE DATABASE USING FUZZY SYSTEM MODELLING
ANALYSIS AND REASONING OF DATA IN THE DATABASE USING FUZZY SYSTEM MODELLING Dr.E.N.Ganesh Dean, School of Engineering, VISTAS Chennai - 600117 Abstract In this paper a new fuzzy system modeling algorithm
More information12 IEEE TRANSACTIONS ON FUZZY SYSTEMS, VOL. 6, NO. 1, FEBRUARY An On-Line Self-Constructing Neural Fuzzy Inference Network and Its Applications
12 IEEE TRANSACTIONS ON FUZZY SYSTEMS, VOL. 6, NO. 1, FEBRUARY 1998 An On-Line Self-Constructing Neural Fuzzy Inference Network Its Applications Chia-Feng Juang Chin-Teng Lin Abstract A self-constructing
More informationA Fuzzy Model for a Railway-Planning Problem
Applied Mathematical Sciences, Vol. 10, 2016, no. 27, 1333-1342 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ams.2016.63106 A Fuzzy Model for a Railway-Planning Problem Giovanni Leonardi University
More information7. Decision Making
7. Decision Making 1 7.1. Fuzzy Inference System (FIS) Fuzzy inference is the process of formulating the mapping from a given input to an output using fuzzy logic. Fuzzy inference systems have been successfully
More informationChapter 4 Fuzzy Logic
4.1 Introduction Chapter 4 Fuzzy Logic The human brain interprets the sensory information provided by organs. Fuzzy set theory focus on processing the information. Numerical computation can be performed
More informationTRANSPORT SUSTAINABILITY
TRANSPORT SUSTAINABILITY IN SAN FRANCISCO Dr. Charles R. Rivasplata San Jose State University CODATU XVII Session 8 5 th November 2017 San Francisco: Background Data Major city in the U.S. Cultural, historic
More informationSpatial Patterns Point Pattern Analysis Geographic Patterns in Areal Data
Spatial Patterns We will examine methods that are used to analyze patterns in two sorts of spatial data: Point Pattern Analysis - These methods concern themselves with the location information associated
More informationInvestigating the Performance of Transport Infrastructure Using Real-Time Data and a Scalable Agent-Based Model
Investigating the Performance of Transport Infrastructure Using Real-Time Data and a Scalable Agent-Based Model Kenichi Soga, Bingyu Zhao University of California, Berkeley Krishna Kumar, Gerry Casey University
More informationProjects with. Successful symbiosis of acoustics and software
Cadna A for Windows is a softwareprogram for prediction and assessment of noise levels in the vicinity of: industrial facilities, sport- and leisure facilities, roads and railways, airports and any other
More informationCHAPTER 5 FUZZY LOGIC CONTROL
64 CHAPTER 5 FUZZY LOGIC CONTROL 5.1 Introduction Fuzzy logic is a soft computing tool for embedding structured human knowledge into workable algorithms. The idea of fuzzy logic was introduced by Dr. Lofti
More informationThe Mathematics of Highway Design
The Mathematics of Highway Design Scenario As a new graduate you have gained employment as a graduate engineer working for a major contractor that employs 000 staff and has an annual turnover of 600m.
More informationMunicipal Projects in Cambridge Using a LiDAR Dataset. NEURISA Day 2012 Sturbridge, MA
Municipal Projects in Cambridge Using a LiDAR Dataset NEURISA Day 2012 Sturbridge, MA October 15, 2012 Jeff Amero, GIS Manager, City of Cambridge Presentation Overview Background on the LiDAR dataset Solar
More informationFinal Exam. Controller, F. Expert Sys.., Solving F. Ineq.} {Hopefield, SVM, Comptetive Learning,
Final Exam Question on your Fuzzy presentation {F. Controller, F. Expert Sys.., Solving F. Ineq.} Question on your Nets Presentations {Hopefield, SVM, Comptetive Learning, Winner- take all learning for
More informationSMART CITIES AND BIG DATA: CHALLENGES AND OPPORTUNITIES
SMART CITIES AND BIG DATA: CHALLENGES AND OPPORTUNITIES EUROPEAN UTILITY WEEK NOVEMBER 5, 2014 ERIC WOODS RESEARCH DIRECTOR 2014 Navigant Consulting, Inc. Notice: No material in this publication may be
More informationMoving Object Counting in Video Signals
Moving Object Counting in Video Signals Ganesh Raghtate 1, Abhilasha K Tiwari 1 1 Scholar, RTMNU, Nagpur, India E-mail- gsraghate@rediffmail.com Abstract Object detection and tracking is important in the
More informationClustering methods for the automatic design of traffic zones
SIDT 2009 International Conference 1 Clustering methods for the automatic design of traffic zones Guido Gentile 1, Daniele Tiddi 1 1 DITS - Dipartimento di Idraulica Trasporti e Strade, Sapienza Università
More informationAdaptive Neuro Fuzzy Inference System (ANFIS) For Fault Classification in the Transmission Lines
Adaptive Neuro Fuzzy Inference System (ANFIS) For Fault Classification in the Transmission Lines Tamer S. Kamel M. A. Moustafa Hassan Electrical Power and Machines Department, Faculty of Engineering, Cairo
More informationResearch on-board LIDAR point cloud data pretreatment
Acta Technica 62, No. 3B/2017, 1 16 c 2017 Institute of Thermomechanics CAS, v.v.i. Research on-board LIDAR point cloud data pretreatment Peng Cang 1, Zhenglin Yu 1, Bo Yu 2, 3 Abstract. In view of the
More information