Performability Modeling & Analysis in UML

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Performability Modeling & Analysis in UML March 2-3, 2010: PaCo second mid-term meeting (L'Aquila, Italy) Luca Berardinelli luca.berardinelli@univaq.it Dipartimento di Informatica Università dell Aquila (ITALY)

PACO: project macro objectives 1. Studyng of logic, models and languages for: a) Modeling performability-aware systems; b) Specification of performability metrics; 2. Definition of model transformation functions a) From design to (multiple) analysis models (direct); b) Among different analysis models (direct/inverse); c) From analysis to design models (inverse); L. Berardinelli, S. Bernardi, V. Cortellessa, and J. Merseguer, (NFPinDSML 2009 @ MODELS 2009) "UML Profiles for Non-Functional Properties at Work: Analyzing Reliability, Availability and Performance", Proc. of the 2nd International Workshop on Non-functional System Properties in Domain Specific Modeling Languages L. Berardinelli, S. Bernardi, V. Cortellessa, and J. Merseguer, (QoSA 2010) " The Fault-error-failure Chain: a Challenge for Modeling and Analyzing Performability in UML-based Software Architectures ", Submitted to the Sixth International Conference on the Quality of Software Architectures (QoSA 2010) 04/03/2010 Performability Modeling and Analysis in UML 2

UML Profiles for NFPs at Work 1. Studyng of logic, models and languages for: a) Modeling performability-aware systems: Input: UML Design Model. Output: Petri Net, Queuing Network, Fault Tree Integration of different NFPs by I/O paramter sharing: Dependability (Reliability, Availability), Performance b) Specification of performability metrics: Not considered 2. Definition of model transformation functions a) From design to analysis models (direct): Unique Source Design Model (UML), Multiple Target Analysis Model Methodologies and Tools b) Among different analysis models (direct/inverse); c) From analysis to design models (inverse); L. Berardinelli, S. Bernardi, V. Cortellessa, and J. Merseguer, (NFPinDSML 2009 @ MODELS 2009) "UML Profiles for Non-Functional Properties at Work: Analyzing Reliability, Availability and Performance", Proc. of the 2nd International Workshop on Non-functional System Properties in Domain Specific Modeling Languages 04/03/2010 Performability Modeling and Analysis in UML 3

UML Profiles for NFPs at Work:the Framework 04/03/2010 Performability Modeling and Analysis in UML 4

UML Profiles for NFPs at Work: MARTE UML lightweight extension (profile) for Modeling and Analysis of Real-Time Embedded systems Allows the Design of Software and Hardware Resources Allows the specification of NFPs of Sw/Hw Resources using the Value Specification Language (VSL) for Generic Quantitative Analysis (GQAM) Schedulability Analysis (SAM) PERFORMANCE ANALYSIS (PAM) Performability Modeling and Analysis in UML 5

UML Profiles for NFPs at Work: DAM UML lightweight extension (profile) for Dependability Analysis Modeling. S. Bernardi, J. Merseguer, and D.C. Petriu. A Dependability Profile within MARTE. Journal of Software and Systems Modeling, 2009. Built upon MARTE: it reuses MARTE Foundation and Generic Quantitative Analysis Model (GQAM) It support the specification of dependability properties and requirements such as Reliability, Availability, Maintainability and Safety Performability Modeling and Analysis in UML 6

UML Profiles for NFPs at Work: ehealth A doctor provided with his/her generic computing device (e.g. PDA, laptop), through medical distributed services, is able to: Make Prescription : after visiting the patient, the doctor can make a prescription to be sent to the hospital where eventually the patient will take the medicines. This service requires some particular Availability, Reliability and Performance requirements The ehealth System is equipped with Message Redundancy Systems: Redundancy Manager: (i) create a Message Replicator for each prescription sent to the Application Server Message Replicator: (i) replicates n-times the prescription message, (ii) create and destroy Payloads (iii) assign each replica to a different Payload (iv) calculate the voting result. Payload: (i) scan & decipher message replicas and (ii) votes for replica integrity. 7

UML Profiles for NFPs at Work: UML Model Component Diagram UML DESIGN MODEL (without annotation) State Machine Use Case Diagram Sequence Diagram Deployment Diagram 04/03/2010 Performability Modeling and Analysis in UML 8

UML Profiles for NFPs at Work: Reliability UML Design Model 1.Annotate 2.Transform 3.Solve Model-Driven Anallysis Methodology RELIABILITY ON DEMAND : The probability of a system working within specifications for a certain number of invocations without system-level repair. Vittorio Cortellessa, Harshinder Singh, and Bojan Cukic. Early reliability assessment of UML based software models. In Workshop on Software and Performance, pages 302 309, 2002. Reliability Target Formalism (Mathematical Expression) Probability of System Failure = NFPs (i.e. UML annotations) i = failure prob of component i bp ik = busy periods (i.e. activation) of component i in scenario k i,j = failure prob of hardware connector among remote hosting nodes of components i and j interact i,j,k = interactions (# of invocations) between components i and j in scenario k p k = execution probability of scenario k It can be represented using a FAULT TREE 04/03/2010 Performability Modeling and Analysis in UML 9

UML Profiles for NFPs at Work: Reliability Component Diagram UML DESIGN MODEL (with Reliabiliy Annotation) DAM Profile i = failure prob of component i 1.Annotate (MARTE+DAM) 2.Transform 3.Solve State Machine Use Case Diagram DAM Profile p k = execution probability of scenario k Deployment Diagram DAM Profile i,j = failure prob of hardware connector UML Plain Sequence Diagram interact i,j,k = message exchanged between components i and j in scenario k bp i,k = # of busy periods (i.e. activation) of component i in scenario k 10

UML Profiles for NFPs at Work: Reliability UML Design Model 1.Annotate 2.Transform 3.Solve Sensitivity w.r.t. WAN = failure prob of WAN connector Reliability Target Formalism (Mathematical Expression) FIXED INPUT PARAMETER $ft_probwan Make Prescription Reliability on Demand $ft_probpda =0.001 0.01 97.80% $ft_probapphost =0.000001 0.1 81.00% $N = 3 (i.e multiplicity ofpayload Comps) 1 0.00% 04/03/2010 Performability Modeling and Analysis in UML 11

UML Profiles for NFPs at Work: Availability UML Design Model NFPs (i.e. UML annotations) 1.Annotate 2.Transform 3.Solve Model-Driven Anallysis Methodology Availability Target Formalism (Generalized Stochastic Petri-Net) AVAILABILITY: The probability that the system is up and running to deliver its service to users when they request them J. Merseguer, S. Bernardi, J. Campos, and S. Donatelli. A compositional semantics for UML State Machines aimed at performance evaluation. In Silva M., Giua A. and Colom J.M., editor, WODES02: 6th International Workshop on Discrete Event Systems, pages 295 302, Zaragoza, Spain, October 2002. IEEE Computer Society. Service availability requirement ; Software Failure (no fault masking mechanism) and Recovery rates Workload specification for service behaviors; Hardware Fault (propagates to sw failure) and Recovery rates of hardware nodes 04/03/2010 Performability Modeling and Analysis in UML 12

UML Profiles for NFPs at Work: Availability Component Diagram Message Replicator Component 1.Annotate (MARTE+DAM) 2.Transform 3.Solve DESIGN MODEL (with Availability Annotation) Use Case Diagram DAM Profile Service availability requirement Deployment Diagram DAM Profile Hw Fault and Recovery rates of execution and comm. hosts DAM Profile State Machine Software Failure and Recovery rates of components MARTE Profile Sequence Diagram Workload specification of system services $ft_probwan - INPUT Parameter sharing with Reliability Analysis 13

UML Profiles for NFPs at Work: Availability 1.Annotate 2.Transform 3.Solve ANALYSIS MODEL (gspn) Execution Host Failures (subnet) cause failure of deployed Component (subnet) 14

UML Profiles for NFPs at Work: Availability UML Design Model 1.Annotate 2.Transform 3.Solve Reliability Target Formalism (GSPN Model) Sensitivity analysis w.r.t. fault rate probability of WAN connector (no masking mechanism then hw fault hw failure) The Service Availability is defined as the PROBABILITY THAT ALL DOWN PLACES MODELING THE DOWN STATES ARE ALL EMPTY $ft_ratepda=$ft_ratenode= $rec_pda=$rec_node= $ft_durwan= FIXED INPUT PARAMETER 30 CRASH FAULT/ YEAR FOR HW COMPS 60 SEC RECOVERY MEAN DURATION FOR PDA 1 HOUR OF WAN COMMUNICATION MEAN DOWN TIME $ft_probw AN AVAIL 0.01 99.98% 0.1 99.88% 1 99.38% 04/03/2010 Performability Modeling and Analysis in UML 15

UML Profiles for NFPs at Work: Performance UML Design Model 1.Annotate 2.Transform 3.Solve Model-Driven Anallysis Methodology Availability Target Formalism (Queuing Netowrk) PERFORMANCE: The probability that the system is up and running to deliver its service to users when they request them Antinisca Di Marco and Paola Inverardi. Compositional Generation of Software Architecture Performance QN Models. In WICSA, pages 37 46, 2004. NFPs (i.e. UML annotations) Scheduling Policies of Software Components and Resource Demand (Time) for their Operations, Workload specification of service behaviors; 04/03/2010 Performability Modeling and Analysis in UML 16

UML Profiles for NFPs at Work: Performance Component Diagram 1.Annotate (MARTE+DAM) 2.Transform 3.Solve DESIGN MODEL (with Availability Annotation) State Machine Use Case Diagram MARTE Profile DAM Profile Service availability requirement MARTE Profile Sequence Diagram Workload specification of system services Deployment Diagram GaWorkloadEvent - INPUT Parameter sharing with Availability.Analysis 17

UML Profiles for NFPs at Work: Performance 1.Annotate 2.Transform 3.Solve ANALYSIS MODEL (QN) Component Multiqueue Service Center ; Component Operation Queue 18

UML Profiles for NFPs at Work: Performance UML Design Model Sensitivity analysis w.r.t. workload characteristics (e.g. population) 1.Annotate 2.Transform 3.Solve Performance Target Formalism (QN Model) Simulation (MVA Analysis not possible due to Fork&Join) INPUT/OUTPUT Parameter sharing with Availability.Analysis $pop out$rt 1 0.58333333 2 0.61200189 3 0.64261899 4 0.67536272 5 0.71042945 $pop out $RT 6 0.748034489 7 0.789521871 8 0.832765210 9 0.879266880 10 0.930278346 04/03/2010 Performability Modeling and Analysis in UML 19

UML Profiles for NFPs at Work: conclusion 1. Studyng of logic, models and languages for: a) Modeling performability-aware systems: Input: UML Design Model+Profiles. Output: GSPN, QN, FT Integration of different NFPs by I/O paramter sharing: Dependability (Reliability, Availability), Performance b) Specification of performability metrics: Not considered 2. Definition of model transformation functions a) From design to analysis models (direct): Unique Source Design Model (UML), Multiple Target Analysis Model Methodologies and Tools b) Among different analysis models (direct/inverse); c) From analysis to design models (inverse); L. Berardinelli, S. Bernardi, V. Cortellessa, and J. Merseguer, (NFPinDSML 2009 @ MODELS 2009) "UML Profiles for Non-Functional Properties at Work: Analyzing Reliability, Availability and Performance", Proc. of the 2nd International Workshop on Non-functional System Properties in Domain Specific Modeling Languages 04/03/2010 Performability Modeling and Analysis in UML 20

The FEF Chain: M&A Performability in UML SA 1. Studyng of logic, models and languages for: a) Modeling performability-aware systems: Input: UML Design Model+Profiles+FEF PAttern. Output: GSPN, QN, FT Integration of different NFPs by I/O paramter sharing: Dependability (Reliability, Availability), Performance b) Specification of performability metrics: Mean Service Time of System subject to working/repairing/working cycles 2. Definition of model transformation functions a) From design to analysis models (direct): Unique Source Design Model (UML), Unique Target Analysis Model Methodologies and Tools b) Among different analysis models (direct/inverse); c) From analysis to design models (inverse); L. Berardinelli, S. Bernardi, V. Cortellessa, and J. Merseguer, (QoSA 2010) " The Fault-error-failure Chain: a Challenge for Modeling and Analyzing Performability in UML-based Software Architectures ", Submitted to the Sixth International Conference on the Quality of Software Architectures (QoSA 2010) 04/03/2010 Performability Modeling and Analysis in UML 21

The FEF Chain: M&A Performability in UML SA General Modeling & Analysis Process for quantitative analysis of SA : 1. Annotate a software model with appropriate performability parameters (UML Model + stereotypes) 2. Transform the software model in a performability model (UML2GSPN) 3. Solve the performability model (GSPN) and get the result 0. Define a Failure Model to be applied (reliability) 04/03/2010 Performability Modeling and Analysis in UML 22

The FEF Chain: M&A Performability in UML SA UML Design Model 0.Failure Model 1.Annotate 2.Transform 3.Solve Model-Driven Anallysis Methodology Performability Target Formalism (Generalilzed Stochastic Petri-Net) PERFORMABILITY: The probability that the system is up and running to deliver its service to users when they request them L. Berardinelli, S. Bernardi, V. Cortellessa, and J. Merseguer, " The Fault-error-failure Chain: a Challenge for Modeling and Analyzing Performability in UML-based Software Architectures ", Submitted to the Sixth International Conference on the Quality of Software Architectures (QoSA 2010) NFPs (i.e. UML annotations) Failure Model Workload specification of service behaviors; Software Fault, Error, Failure probabilities and Error Detection/Isolation duration 04/03/2010 Performability Modeling and Analysis in UML 23

The FEF Chain: M&A Performability in UML SA 0.Failure Model 1.Annotate 2.Transform 3.Solve Type of fault: Single Failure Mode (info content failure) Modeling System Behavior: generic FEF chain Execution fragments Predicates on sw c. status generic FEF chain Events Control flow 04/03/2010 Performability Modeling and Analysis in UML 24

The FEF Chain: M&A Performability in UML SA 0.Failure Model 1.Annotate 2.Transform 3.Solve Correct path Error detected and isolated Failure Fault M asked Error NOT detected BUT NOT Propagated generic FEF chain 04/03/2010 Performability Modeling and Analysis in UML 25

The FEF Chain: M&A Performability in UML SA A doctor provided with his/her generic computing device (e.g. PDA, laptop), through medical distributed services, is able to: Make Prescription : after visiting the patient, the doctor can make a prescription to be sent to the hospital where eventually the patient will take the medicines. This service requires some particular Availability, Reliability and Performance requirements The ehealth System is equipped with Message Redundancy Systems: Redundancy Manager: (i) create a Message Replicator for each prescription sent to the Application Server Message Replicator: (i) replicates n-times the prescription message, (ii) create and destroy Payloads (iii) assign each replica to a different Payload (iv) calculate the voting result. Payload: (i) scan & decipher message replicas and (ii) votes for replica integrity. 26

The FEF Chain: M&A Performability in UML SA Component Diagram 0.Failure Model 1.Annotate 2.Transform 3.Solve UML DESIGN MODEL Deployment Diagram Correct path Fault M asked Error detected and isolated Error NOT detected BUT NOT Propagated Failure Sequence Diagram (FEF pattern) 04/03/2010 Performability Modeling and Analysis in UML 27

The FEF Chain: M&A Performability in UML SA 0.Failure Model 1.Annotate 2.Transform 3.Solve UML DESIGN MODEL (without annotation) 04/03/2010 Performability Modeling and Analysis in UML 28

The FEF Chain: M&A Performability in UML SA 0.Failure Model 1.Annotate 2.Transform 3.Solve Workload specification of service behaviors; Software Fault, Error, Failure probabilities and Error Detection/Isolation duration 04/03/2010 29

The FEF Chain: M&A Performability in UML SA 0.Failure Model 1.Annotate 2.Transform 3.Solve Correct path Fault M asked Error detected and isolated Error NOT detected BUT NOT Propagated Failure 04/03/2010 30

The FEF Chain: M&A Performability in UML SA UML Design Model 0.Failure Model 1.Annotate 2.Transform 3.Solve Performability Target Formalism Model-Driven Anallysis Methodology (Generalilzed Stochastic Petri-Net) Mean time to process correctly the makeprescription request ( MST) under payload fault assumption (single/content failure model) pop = population (i.e. # of doctor that concurrently requires prescriptions) X_reinit = Throughput of transition re_init (termination of main scenario, see GSPN) X_S_fail = Throughput of transition S_fail (error propagation from RM to MR, see ErrorProp SD): think = external delay 04/03/2010 Performability Modeling and Analysis in UML 31

The FEF Chain: M&A Performability in UML SA UML Design Model MST=1sec 0.Failure Model 1.Annotate 2.Transform 3.Solve Performability Target Formalism Model-Driven Anallysis Methodology (Generalilzed Stochastic Petri-Net) MST=1,005sec MST=1,8sec MST=7sec pop = 1 think = 3s GreatSPN (Markovian solver) 04/03/2010 Performability Modeling and Analysis in UML 32

The FEF Chain: M&A Performability in UML SA UML Design Model MST=2,19sec 0.Failure Model 1.Annotate 2.Transform 3.Solve Performability Target Formalism Model-Driven Anallysis Methodology (Generalilzed Stochastic Petri-Net) MST=10.19sec pop = [1,50] think = 3s GreatSPN (Simulator: accuracy= 15%,confidence interval 99%) 04/03/2010 Performability Modeling and Analysis in UML 33

The FEF Chain: Conclusion Future works (i) Experiment the approach on different mechanisms for error masking that take very different time to be executed. (ii) Extend the Failure Model to multiple failures and/or different type of failures. Consequently the UML pattern should change. L. Berardinelli, S. Bernardi, V. Cortellessa, and J. Merseguer, (QoSA 2010) " The Fault-error-failure Chain: a Challenge for Modeling and Analyzing Performability in UML-based Software Architectures ", Submitted to the Sixth International Conference on the Quality of Software Architectures (QoSA 2010) 04/03/2010 Performability Modeling and Analysis in UML 34