
Analytical and Stochastic Modeling Techniques and Applications
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Content
- Title
- Preface
- Organization
- Table of Contents
- Queueing Theory I
- Departure Process in Finite-Buffer Queue with Batch Arrivals
- Introduction
- System Description and Potential Approach
- System of Integral Equations for Departure Process
- Limit Theorem
- Numerical Results
- References
- A Two-Class Continuous-Time Queueing Model with Dedicated Servers and Global FCFS Service Discipline
- Introduction
- Mathematical Model
- System with a Global FCFS Service Discipline
- System State Diagram and Balance Equations
- Analysis of the System
- System without Global FCFS
- Network Model
- Analysis of the System
- Comparison of Models and Numerical Examples
- Conclusions and Future Work
- References
- M/G/1 Queue with Exponential Working Vacation and Gated Service
- Introduction
- Model Description
- The Stationary Number of Customers at the End of Vacation Period
- Transient Behavior of the M/G/1 Queue
- Evolution of the System over the Vacation Period
- Computation of f(z)
- The Stationary Number of Customers at an Arbitrary Epoch
- The Stationary Number of Customers in the Service Period
- The Stationary Number of Customers in the Vacation Period
- Computation of q(z)
- The Stationary Waiting Time
- References
- Software and Computer Systems
- The Application of FSP Models in Automatic Optimization of Software Deployment
- Introduction
- Related Works
- Deployment Methodology
- Performance Function
- Implementation
- Case Study: An Accounting Web Application
- Discussion
- Conclusion
- References
- Model-Based Decision Framework for Autonomous Application Migration
- Introduction
- Background on the Migration Process
- Model of the Migratory Framework
- Design of the Decision Framework
- State Estimation and Prediction
- Reward Model
- Instantaneous Policy Generation
- Markov Decision Process Policy Generation
- Case Study and Numerical Results
- Simulation Model
- Generation Approach Impact on Generated Policies
- Generation Approach Impact on Application Quality
- State Estimation Accuracy
- Inaccurate State Estimation Impact on Performance
- Conclusion and Future Work
- References
- Optimisation of Virtual Machine Garbage Collection Policies
- Introduction
- Theoretical Background
- Neuts' Matrix Geometric Method
- Quasi-Birth and Death Processes
- Model Definition and Analysis
- Heuristic for Minimal Average Response Time
- Numerical Examples
- Conclusion
- References
- Queueing Theory II
- Performance Evaluation of a Single Node with General Arrivals and Service
- Introduction and State of the Art
- Model and Its Solution
- Performance of the Proposed Approach
- Conclusion
- References
- Tandem Queueing System with Different Types of Customers
- Introduction
- Model Description
- Process of the System States
- Stationary Distribution
- Performance Measures
- Numerical Results
- Conclusion
- References
- Fast Evaluation of Appointment Schedules for Outpatients in Health Care
- Introduction
- Situation
- Modelling Issues
- Schedule Optimalisation
- Discrete-Time Model and Assumptions
- Evaluation of an Appointment Schedule
- Model Description
- Analysis
- Examples
- Assisted Sequential Scheduling
- Cost Function
- Sequential vs. Advance Scheduling
- Visualisation of Mean Performance
- Examples
- Conclusions
- References
- Statistics and Inference
- Technique of Statistical Validation of Rival Models for Fatigue Crack Growth Process and Its Identification
- Introduction
- Formulation of Models for the Fatigue Crack Growth Process
- Deterministic Models for the Fatigue Crack Growth Process
- Stochastic Models for the Fatigue Crack Growth Process
- Conceptual Model Validation
- Statistical Estimation of the Unknown Parameters
- Goodness-of-Fit Testing for the Normality Assumption
- Operational Model Validation
- Hypotheses for Testing the Operational Validity
- Statistic for Testing the Operational Validity
- Test for the Operational Validity
- Fatigue Crack Growth Process Identification
- Example
- Validation of Models 1 and 2 for the Fatigue Crack Growth Process
- Identification of the Fatigue Crack Growth Process
- Planning Inspections in Service of Fatigued Structures
- Conclusion
- References
- Suitability of the M/G/8 Process for Modeling Scalable H.264 Video Traffic
- Introduction
- M/G/ Process
- Whittle Estimator
- M/G/-Based Models
- Modeling H.264/SVC Video Traffic at the GoP Level
- Conclusions and Further Work
- References
- Reconstructing Model Parameters in Partially-Observable Discrete Stochastic Systems
- Introduction
- Related Work
- Background
- PODS Models
- Analyzing PODS Systems
- Iterative Analysis Algorithm
- Symbolic Polynomial Analysis
- Experiments
- Computational Accuracy
- Computation Time
- Analysis of Ambiguous Systems
- Conclusion and Outlook
- Future Work
- References
- Queueing Theory III
- Performance Evaluation of a Kitting Process
- Introduction
- Model Description
- Analysis
- Balance Equations
- Performance Measures
- Methodology: The Sparse Matrix Techniques
- Numerical Results
- Bursty Part Arrivals
- Phase-Type Distributed Kitting Times
- Conclusion
- References
- Perfect Sampling of Phase-Type Servers Using Bounding Envelopes
- Introduction
- Simulation Method
- Perfect Sampling
- Bounding Envelopes
- Phase-Type Server
- Non Monotonicity of a Phase-Type Server
- Envelopes for Phase-Type Service Events
- Coupling of Phase-Type Systems Envelopes
- The Tandem Case
- Extension to Networks of Queues
- Experimental Results
- Conclusion
- References
- Monotone Queuing Networks and Time Parallel Simulation
- Introduction
- A Brief Introduction to Monotonicity in Simulation
- Monotone Networks of Queues
- Finite Queues Jackson Networks
- Index Based Routing, Poisson Arrivals and Exponential Services
- Monotone Phase Type Service Times, Exponential Arrivals
- Networks of G/G/1 Queues
- G-Networks of Queues with Positive and Negative Customers
- Conclusions
- References
- Telecommunication Networks I
- Traffic-Centric Modelling by IEEE 802.11 DCF Example
- Introduction
- Traffic-Centric Modelling
- System Behaviour
- DCF Behaviour as a Semi-Markov Process
- General Semi-Markov Theory
- SMP Model for the Example Network
- Calculating Common Performance Metrics
- Steady-State Analysis of the SMP
- Verification of the SMP Analysis
- Conclusion
- References
- Flexible Traffic Engineering in Full Mesh Networks: Analysis of the Gain in Throughput and Cost Savings
- Introduction: Traffic Engineering and Its Effect on Costs
- Modeling of Link Utilization during Bandwidth Upgrade Cycles
- Traffic Path Optimization for Upgrades in a Full Mesh
- Modeling and Analysis of Costs
- (Sub-)Linear Upgrade Cost Model with Exponential Decrease in Time
- Evaluation of Full and Stepwise Upgrades Based on the Cost Model
- Discussion of Cost Aspects for Special Cases and Extensions
- Failure Resilience: Throughput and Fast Redirection of Traffic Paths
- Conclusions
- References
- Investigation of the Reliability of Multiserver Computer Networks
- Introduction
- The Network Model
- The Main Results
- The Reliability of a Multiserver Computer Network
- References
- Performance and Performability
- Performability Modeling of Exceptions-Aware Systems in Multiformalism Tools
- Introduction
- Related Works
- SIMTHESys Overview
- Exceptions in Multiformalism Models
- Exception-Enabled Models
- State-Based Exceptions
- Implementation
- Case Study
- A Motivating Example
- An Agri-Food Tracking System
- Conclusions and Future Work
- References
- The Impact of Input Error on the Scheduling of Task Graphs with Imprecise Computations in Heterogeneous Distributed Real-Time Systems
- Introduction
- Related Work
- Our Approach
- System and Workload Model
- Imprecise Computations Model
- Scheduling Strategy
- Task Selection Phase
- Processor Selection Phase
- Performance Evaluation
- Performance Parameters
- Task Graph Generation
- Simulation Input Parameters
- Simulation Results and Discussion
- Conclusions and Future Work
- References
- Simple Correlated Flow and Its Application
- Introduction
- Flow Analysis
- Flow Analysis: Special Case
- Markovian System
- Single-Server Queueing System
- Conclusions
- References
- Telecommunication Networks II
- A Practical Tree Algorithm with Successive Interference Cancellation for Delay Reduction in IEEE 802.16 Networks
- Introduction and Background
- System Model and Algorithms
- Conventional Tree Algorithms
- Successive Interference Cancellation
- Imperfect Interference Cancellation
- Proposed Throughput Calculation Technique
- General Procedure
- Baseline SICTA Algorithm
- Proposed R-SICTA Algorithm
- IEEE 802.16 Performance Improvement and Conclusions
- References
- A Probabilistic Energy-Aware Model for Mobile Ad-Hoc Networks
- Introduction
- The Calculus
- Measuring Energy Consumption
- Analysing the SW-ARQ and GBN-ARQ Protocols
- Conclusion
- References
- Size-Based Flow-Scheduling Using Spike-Detection
- Introduction
- Size-Based Scheduling Using Spike-Detection
- Related Work
- Spike-Detection Mechanism
- Integrated Packet/Spike Model
- Spike Level
- Packet Level
- Integrated Model
- Simulations: Goals and Settings
- Goals
- Settings
- Performance Analysis
- Efficiency
- Analysis Using Flow Metric
- Conclusions
- References
- Author Index
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