Produktbild: Quantitative Methods in Parallel Systems

Quantitative Methods in Parallel Systems

Fr. 72.90

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

08.12.2011

Herausgeber

Francois Baccelli + weitere

Verlag

Springer Berlin

Seitenzahl

298

Maße (L/B/H)

23.5/15.5/1.8 cm

Gewicht

487 g

Auflage

Softcover reprint of the original 1st ed. 1995

Sprache

Englisch

ISBN

978-3-642-79919-8

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

08.12.2011

Herausgeber

Verlag

Springer Berlin

Seitenzahl

298

Maße (L/B/H)

23.5/15.5/1.8 cm

Gewicht

487 g

Auflage

Softcover reprint of the original 1st ed. 1995

Sprache

Englisch

ISBN

978-3-642-79919-8

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Quantitative Methods in Parallel Systems
  • I Formalisms.- Stochastic Process Algebras.- 1. Introduction. The Indivisibility of Functional and Temporal Behaviour.- 2. The Roots of Stochastic Process Algebra.- 3. The Stochastic Process Algebra TIPP.- 3.1 Syntax.- 3.2 Semantics.- 3.3 Equivalences.- 3.4 Axiomatisation.- 4. Example. A Multiprocessor with MMPP Arrival Stream.- 4.1 Load modelling.- 4.2 The machine model.- 4.3 Model simplification.- 4.4 Numerical results.- 5. Case Studies.- 6. Tool Support.- 7. Recent Extensions.- 8. Summary and Outlook.- Stochastic Process Algebra for Discrete Event Simulation.- 1. Introduction.- 2. Language.- 3. Semantics.- 4. Strong bisimulation.- 5. Weak bisimulation.- 6. Examples and speculations.- 6.1 Generalised Semi-Markov Processes (GSMP).- 6.2 Two processor queue.- 6.3 Equivalence.- 7. Conclusions.- GSPN and SPA Compared in Practice.- 1. Introduction.- 2. Comparison between GSPN and SPA.- 2.1 Notational level.- 2.2 State versus Action.- 2.3 Compositionality and Equivalences.- 2.4 Abstraction Mechanism.- 2.5 Analysis Techniques.- 2.6 Tool Support.- 2.7 Translation from SPA to GSPN.- 3. A Distributed Electronic Mail System.- 4. Modelling the system.- 4.1 GSPN model.- 4.2 SPA Specification.- 5. Comparing the developed models.- 6. Transforming SPA to GSPN.- 7. Conclusion.- Functional and Performance Analysis of Cooperating Sequential Processes.- 1. Introduction.- 2. Deterministic Systems of Sequential Processes.- 2.1 Basic Definitions and Notations of Petri Nets.- 2.2 Deterministic Systems of Sequential Processes, and Other Subclasses.- 2.3 Time Representation.- 3. Functional Analysis of DSSP’s.- 3.1 The Coarse net of a DSSP.- 3.2 Well-Formedness and Liveness.- 4. Performance Analysis of DSSP’s.- 4.1 Home States and Ergodicity.- 4.2 Computation of Visit Ratios.- 4.3 Performance Bounds.- II Techniques.- Analysis of Parallel Processing Systems via the (max,+) Algebra.- 1. Introduction.- 2. The Basic Problem.- 3. Modeling via (max, +)-Linear Recurrence Equations.- 3.1 Algebraic Framework.- 3.2 Recurrence Equations.- 3.3 Variations.- 3.4 Canonical Recurrence Equations.- 3.5 Response Times.- 4. Stability.- 4.1 First Order Limits.- 4.2 Second Order Limits.- 4.3 Multiple Stationary Regimes for Closed Systems.- 5. Analytical Results.- 5.1 Markovian Analysis.- 5.2 Taylor Expansions for the M/G Case.- 5.3 Transient and Stationary Distributions for the M/D Case.- 6. Parallel Simulation Issues.- 6.1 Parallel Simulation Algorithms.- 6.2 Minimal Standard Representations.- TIPP and the Spectral Expansion Method.- 1. Introduction.- 2. The Spectral Expansion solution method.- 3. SE-TIPP.- 3.1 Syntax.- 3.2 Semantic model.- 3.3 Construction schema.- 4. Application example.- 4.1 System description.- 4.2 System semantics.- 4.3 System evaluation.- 5. Conclusion.- G-Networks: A Survey of Results, a Solver and an Application.- 1. Introduction.- 2. G-networks with positive and negative customers.- 3. G-networks with signals.- 4. G-networks with signals and batch removals.- 5. The solver tool.- 6. An example: Performance evaluation of receiver initiated load balancing.- 7. Conclusions.- Polling Models with Threshold Switching.- 1. Introduction.- 2. Analytic Solution for the preemptive model.- 3. Analytic Solution for the non-preemptive model.- 4. Power series algorithm.- Two-Dimensional Nearest-Neighbour Queueing Models.- 1. A review.- 2. The symmetrical shortest queueing model.- M/G/1 Queues with FCFS Negative Arrivals.- 1. Introduction.- 2. Derivation of equations defining the generating function.- 3. An iterative algorithm.- 4. Conclusion.- Operational Analysis of Timed Petri Nets and Application to the Computation of Performance Bounds.- 1. Introduction.- 2. Observable quantities and operational laws.- 2.1 Basic operational quantities.- 2.2 Conflict-free nets.- 2.3 General nets with conflicts.- 3. Performance bounds based on operational laws.- 3.1 Extension to TWN’s.- 3.2 LPP formulation.- 4. An example of application.- 5. Conclusions.- Approximate Throughput Computation of Stochastic Marked Graphs.- 1. Introduction.- 2. Basics on stochastic marked graphs.- 2.1 Basic notations.- 2.2 Implicit places and MG’s.- 3. Structural decomposition of MG’s.- 4. Approximate throughput computation.- 4.1 First approach: Ping-Pong algorithm.- 4.2 A solution: Pelota1 algorithm.- 5. Conclusions.- III Applications.- Allocation of Customer Types to Servers: Clustering is Optimal.- 1. Introduction.- 2. Model description.- 3. Finding an optimal allocation.- 4. The case of ordered customer types.- 5. Concluding remarks and suggestions for further research.- A. Proof of Lemma 3.1.- B. Proof of Lemma 3.2.- C. Proof of Lemma 3.3.- D. Proof of Lemma 3.4.- Majorization and Stochastic Comparison Techniques for Scheduling of Parallel Systems.- 1. Introduction.- 2. Majorization and Stochastic Orders.- 2.1 Comparison of Real Vectors.- 2.2 Comparison of Random Vectors.- 2.3 Relations Between Majorization and Stochastic Orderings.- 2.4 Other stochastic orderings.- 3. Scheduling of Monoprogrammed Systems.- 3.1 Introduction and Notation.- 3.2 Previous Results.- 3.3 Forest-Cut Graphs.- 3.4 Stochastic Minimization of Makespan.- 4. Scheduling of Multiprogrammed Systems.- 4.1 Introduction.- 4.2 Problem Description.- 4.3 Extremal Policies.- 5. Concluding Remarks.- Dependability of Distributed Programs: Algorithms and Performance.- 1. Introduction.- 2. Detection and Recovery Algorithms.- 3. Approximate Analysis and Simulations.- 3.1 Approximate Analytical Results.- 3.2 Comparing Detection Algorithms.- 4. An Example: A Task-Graph for Matrix Multiplication.- 5. An Example: Dependable Execution of the Parallel FFT Algorithm.- 5.1 Detailed Algorithmics of Failure Detection and Recovery.- 5.2 Simulations for the Dependable Parallel FFT Algorithm.- A Fixed-Point Model of a Distributed Memory Consistency Protocol.- 1. Introduction.- 1.1 Workload Assumptions.- 2. A New Model for SCI.- 2.1 Actions generated by a processor.- 2.2 The analytical model.- 2.3 Mean transmission Time.- 2.4 Cache/Memory Access Delay.- 3. Results and Validation.- Routing Among Different Nodes Where Servers Break Down Without Losing Jobs.- 1. Introduction.- 2. The model.- 3. Queue size distributions.- 4. Evaluation of scheduling strategies.- 5. Generalizations.- 6. Joint distribution for N = 2.- 7. Conclusions.- Modeling Symmetric Computer Architectures by SWNs.- 1. Introduction.- 2. Multilevel Fat Trees.- 3. Multidimensional Mesh interconnection.- 4. Conclusions.- Arrival Theorems for Product-Form Stochastic Petri Nets.- 1. Introduction.- 2. Product-Form Stochastic Petri Nets: Basic Definitions.- 2.1 Definition of Stochastic Petri Nets.- 2.2 Definition of Product-Form Stochastic Petri Nets.- 3. Arrival Theorems for PF-SPNs.- 3.1 What is an Intermediate Marking.- 3.2 Example: Illustration of Intermediate Markings.- 3.3 Global Arrival Theorem by Transition for a PF-SPN.- 3.4 Example: Illustration of Theorem.- 3.5 The Notion of Direction.- 3.6 Local Arrival Theorems.- 4. Mean Sojourn Time.- 5. Conclusion.