and coverage as the nodes can act both as clients and routers. In this paper, the clients are distributed using four different

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ISSN: 0975-766X CODEN: IJPTFI Available Online through Research Article www.ijptonline.com PERFORMANCE ANALYSIS FOR WIRELESS MESH NETWORK CONSIDERING DIFFERENT CLIENT DISTRIBUTION PATTERNS S.Dhivya #1, G.Merlin Sheeba #2 PG Scholar #1, Assistant Professor #2, Dept. of ETCE, Faculty of Electrical and Electronics Engineering Sathyabama University, Chennai-119. Email: dhivyashanmugham77@yahoo.com #1, merlinsheeba.etc@sathyabamauniversity.ac.in #2 Received on 10-02-2016 Accepted on 20-03-2016 Abstract: Wireless Mesh Networks (WMN) is widely preferred broad band internet access technology which provides minimal upfront investment as the technology installed can be incremented. Mesh structure ensures that the each node has the ability to provide available multiple path for communication. WMN with more number of nodes provides more reliability and coverage as the nodes can act both as clients and routers. In this paper, the clients are distributed using four different distributions patterns namely Normal, Uniform, Exponential and Weibull distribution and their corresponding performance metrics such as throughput, end to end delay and packet delivery ratioare calculated. Our main objective is to evaluate the performance of each client distribution. The simulation results shows that the Weibull client distribution provides overall better QOS performance of about 35% than the other distributions. Keywords: Wireless Mesh Network, Mesh router, Client distribution, Packet Delivery Ratio. 1. Introduction: Wireless Mesh Network is an emerging technology which can effectively cover specific area and provides high bandwidth and cost effective system. The traditional network connects user through Wired Access Point (AP) or Wireless hotspot. WMN can connect hundreds of nodes and can share the network across a large area [1]. WMN consists of mesh clients, mesh routers and gateway. They are buildup of peer radio devices which need not to be cabled to wire port as in Wireless Local Area Network (WLAN) AP [2, 9]. The mesh infrastructure carries port over large distance through series of short hops where the intermediate nodes forwards packets based on their knowledge of network, that is, the node can act as routers. WMN has stable topology IJPT March-2016 Vol. 8 Issue No.1 10559-10565 Page 10559

except for occasional failure or addition of nodes. Another advantage of WMN is their self-healing and self-form properties [3, 10]. They communicate through rest of the nodes in case of failure. WMN uses dynamic routing algorithm in which each device communicates their routing information to other devices. The routing algorithms ensure that the nodes choose the most appropriate or fastest route to its destination [4]. The structure of the paper is organized as follows: Section 2 gives information about routing protocol. Section 3 explains about the recent work. Section 4 gives detailed information about proposed work. Section 5 and 6 gives simulation outputs and conclusion. 2. Overview of HWMP routing protocol and 802.11s: Hybrid Wireless Mesh Protocol is the wireless mesh networks basic routing protocol defined in 802.11s. It is a tree based routing protocol. They depend on peer link management protocol so each mesh node search and track its neighbor node. They provide both reactive and proactive routing algorithm. Reactive routing algorithm discover route when source sends the packet which has to be send to the destination. Proactive algorithm provides routes by building its own routing table based on the information exchanged within each router. As they have both routing algorithm they provide optimal and effective path selection. IEEE 802.11s is a working group within IEEE 802.11 standard which is used to standardize the Extended Service Rate (ESS). They define MAC and physical layer of mesh network. To support IEEE 802.11 ESS mesh, they define architecture and protocol based on IEEE 802.11 MAC to support both broadcast and unicast delivery at MAC layer. 3. Related work: WMN is a reliable source of wireless connectivity for wide variety of applications such as large enterprises, campus wireless network, municipal area network, etc. The nodes can be distributed in various forms of distributions. C.Sanches[5] et al. have proposed three types of clients distribution namely subway, boulevard and stadium model. The subway model distributes the nodes in the horizontal strip. Subway distribution is a realistic form of distribution as they are based on the characters of humans behaving in the Subway Street or station. Boulevard distribution distributes the nodes on two horizontal stripes, that is, on the both sides of the boulevard. Stadium model as the name indicates the nodes are distributed on a circle pattern. They have concluded that the subway distribution of clients performs better than the other two distributions. J. Wu [6] have proposed a routing protocol which is based on connected dominating set, that is, they assign the node as gateway if it has at least two unconnected neighbor. M. Kas [7] et al. has proposed social network IJPT March-2016 Vol. 8 Issue No.1 10559-10565 Page 10560

analysis metrics to detect critical nodes in WMN. They provide high priority to nodes which have high closeness centrality values and the simulation results shows that there is improvement in the throughput and but with considerable amount of delay. C Gomas [8] have proposed column generation method to optimize the routing problem. Their main objective is to balance the router load and reduce the communication time required. 4. Proposed system: A WMN system with 36 routers and 48 clients are considered and the clients are distributed with four different distributions namely Normal, Uniform, Exponential and Weibull distribution and their corresponding performance metrics such as Packet Delivery Ratio (PDR), Throughput and End to End delay are calculated. They are simulated using Network Simulator-2. The mesh clients arranged using the four different distributions are explained below: 4.1. Uniform distribution: In this type of distribution, the distribution of data is equally spread across the given range. They do not have any clear peak. In the other words, the probability of occurrence of all events has equal chance. They are also called rectangular distribution. f ( x) 1 b a ; a x b (1) Cumulative distribution function: x a F( x) ; a x b b a (2) Where a and b are the minimum and maximum intervals. 4.2. Normal distribution: They are also called bell curve as they create bell shaped curve. In this distribution, they have a central peak which is symmetrical to either sides of the curve. They have same mean, median and mode. f ( x) 1 2 2 2 2 (3) Where = mean or expectation and = variance. IJPT March-2016 Vol. 8 Issue No.1 10559-10565 Page 10561

4.3. Exponential distribution: S.Dhivya* et al. International Journal Of Pharmacy & Technology Exponential distribution is a process where the occurrence of events is continuous and independent at constant average rate. They are used to model Poisson process. They are one of the widely used continuous distributions. f (x) x ; x 0 (4) Cumulative distribution function: F(x) 1 x H(x) (5) Where λ > 0 is called the rate parameter and H(x) is called Heaviside step function. 4.4. Weibull distribution: They are named after its inventor Waloddi weibull. They can model wide variety of data sets. They have the ability to take the characteristics from other type of distribution. So they are popular among engineers. f ( x) k x k ; x 0 (6) Where k = shape parameter and λ = scale parameter (k and λ is greater than 0). 4.5. Performance Metrics: The performance metrics considered are Packet Delivery Ratio (PDR), throughput and end to end delay. 4.5.1. Packet Delivery Ratio: PDR can be defined as the ratio of number of packets received to the number of packets sent. The PDR contribute for the successful transmission of data. PDR= (7) The higher value of PDR denotes the better performance of the system. 4.5.2. Throughput: The throughput is the amount of data successfully sent within the given time. They are usually measured in Bits per Second (Bps), Mega Bits per Second (Mbps) or Giga-Bits per second (Gbps). The throughput should be in higher range for better performance of the network. IJPT March-2016 Vol. 8 Issue No.1 10559-10565 Page 10562

4.5.3. End-to-End Delay: S.Dhivya* et al. International Journal Of Pharmacy & Technology The end-to-end delay is the total amount of time taken by the packet to reach its destination from the source. End-to-end Delay= (8) They also represent the time taken to discover the route and the queuing time for data transmission. The packets that are successfully sent to the destination are only considered. The delay should be lesser for efficient performance of the system. 5. Result and Discussion: Wireless mesh network is simulated using Network Simulator-2 with an area dimension of about 2000x 2000 and 36 numbers of router and 48 clients are considered. The clients are distributed using four different distributions and a packet of size 1000 bytes are sent within the simulation time of 100 seconds which is given in the Table 1. Then their corresponding performance metrics such as PDR, throughput and end to end delay are calculated. Table1: Simulation Settings Figure 1: Mean Packet Delivery Ratio Figure 2:Mean Throughput Area size 2000x2000 MAC 802.11s Routing protocol HWMP Number of mesh routers 36 Number of mesh clients 48 Transport protocol UDP Application Type Constant Bit Rate (CBR) Packet size 1000 bytes Packet rate 800 packets per second Simulation time 100 sec IJPT March-2016 Vol. 8 Issue No.1 10559-10565 Page 10563

The comparative result shown in Fig.1 indicates that the packet delivery ratio is high when clients are distributed using Weibull pattern. The Weibull client distribution shows an overall 35% increase in PDR than the other distributions. The simulation results from Fig.2 shows that the throughput is high for weibull client distribution and the remaining distributions provide almost same throughput values. The throughput value is higher of about 35-41% for Weibull client distribution. The end-to-end delay results shown in the Fig.3 depicts that the delay decreases as the time increases. The observed delay for the packet transmission from source to destination is veryless in Weibull client distribution compared to other distributions. Figure 3: Mean End to End Delay. 5. Conclusion: WMN is highly preferred for its low cost and high bandwidth nature over a specific coverage area. The clients are distributed using four distributions and their performances are calculated. From the simulation results, Weibull client distribution provides better performance than the other distributions. The work can further be extended using heuristic method to have a optimum distribution of node. References: 1. I.F. Akyildiz, X. Wang and W. Wang, Wireless mesh networks: a survey,computer Networks, Volume 47, No. 4,pp. 445 487, 2005. 2. I.F. Akyildiz, X. Wang, A survey on wireless mesh networks, IEEE Communications Magazine, Volume43,pp. 23 30, 2005. IJPT March-2016 Vol. 8 Issue No.1 10559-10565 Page 10564

3. J. Jun, M. L. Sichitiu, The Nominal Capacity of Wireless Mesh Network, IEEE Wireless Communications Magazine, Volume 10, pp. 8-14, October 2003. 4. S.M. Chen, P. Lin, D.W Huang and S.R Yang, A study on distributed/centralized scheduling for wireless mesh network in Proceedings of the International Conference on Wireless Communications and Mobile Computing, pp. 599 604, Vancouver, British Columbia, Canada, 2006. 5. F. Xhafa, C. Sanchez, L. Barolli and R. Miho, An Annealing Approach to Router Nodes Placement Problem in Wireless Mesh Networks in Proceedings of CISIS-2010, pp. 245-252, 2010. 6. J. Wu and H. Li, On calculating connected dominating set for efficient routing in ad hoc wireless networks in Proceedings of the 3 rd International Workshop on Discrete Algorithms and Methods for Mobile Computing and Communications, pp. 7 14, New York, USA, 2000. 7. M. Kas, S. Appala, C. Wang, K. Carley, L. Carley and O. Tonguz, What if wireless routers were social? Approaching wireless mesh networks from a social networks perspective, IEEE Wireless Communication Magazine, pp. 36 43, 2006. 8. C. Gomes andg. Huiban, Multi-objective analysis in wireless mesh networks, 15th IEEE International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunication Systems, pp.103-108, 2007. 9. G. Merlin Sheeba, AlameluNachiappan,P.S.L. Gokulnath Improving Link Quality using OSPF Routing Protocol in A Stable WIFI Mesh Network, Proceeding of IEEE ICCCSP, pp. 23-26, 2012. 10. G.Merlin Sheeba,AlameluNachiappan, Gateway Placements in WMN with Cost Minimization and Optimization using SA and DE Techniques, International Journal of Pharmacy and Technology Volume 7 Issue No.1, July 2015. Corresponding Author: S. Dhivya *, Email: dhivyashanmugham77@yahoo.com IJPT March-2016 Vol. 8 Issue No.1 10559-10565 Page 10565