Quantitative Methods in Parallel Systems

1. Front Matter

   Pages I-XX

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2. Formalisms

   1. Front Matter

      Pages 1-1

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   2. Stochastic Process Algebras

      • N. Götz, H. Hermanns, U. Herzog, V. Mertsiotakis, M. Rettelbach

      Pages 3-17

   3. Stochastic Process Algebra for Discrete Event Simulation

      • P. G. Harrison, B. Strulo

      Pages 18-37

   4. GSPN and SPA Compared in Practice

      • S. Donatelli, H. Hermanns, J. Hillston, M. Ribaudo

      Pages 38-51

   5. Functional and Performance Analysis of Cooperating Sequential Processes

      • E. Teruel, M. Silva, J. M. Colom, J. Campos

      Pages 52-65

3. Techniques

   1. Front Matter

      Pages 67-67

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   2. Analysis of Parallel Processing Systems via the (max,+) Algebra

      • F. Baccelli, B. Gaujal, A. Jean-Marie, J. Mairesse

      Pages 69-98

   3. Tipp and the Spectral Expansion Method

      • I. Mitrani, A. Ost, M. Rettelbach

      Pages 99-113

   4. G-Networks: A Survey of Results, a Solver and an Application

      • S. Chabridon, E. Gelenbe, M. Hernández, A. Labed

      Pages 114-128

   5. Polling Models with Threshold Switching

      • O. J. Boxma, G. M. Koole, I. Mitrani

      Pages 129-140

   6. Two-Dimensional Nearest-Neighbour Queueing Models, a Review and an Example

      • J. W. Cohen

      Pages 141-152

   7. M/G/1 Queues with FCFS Negative Arrivals

      • P. G. Harrison, E. Pitel

      Pages 153-160

   8. Operational Analysis of Timed Petri Nets and Application to the Computation of Performance Bounds

      • G. Chiola, C. Anglano, J. Campos, J. M. Colom, M. Silva

      Pages 161-174

   9. Approximate Throughput Computation of Stochastic Marked Graphs

      • J. Campos, J. M. Colom, H. Jungnitz, M. Silva

      Pages 175-188

4. Applications

   1. Front Matter

      Pages 189-189

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   2. Allocation of Customer Types to Servers: Clustering is Optimal

      • S. C. Borst

      Pages 191-205

   3. Majorization and Stochastic Comparison Techniques for Scheduling of Parallel Systems

      • Z. Liu

      Pages 206-219

   4. Dependability of Distributed Programs: Algorithms and Performance

      • S. Chabridon, E. Gelenbe

      Pages 220-236

   5. A Fixed-Point Model of a Distributed Memory Consistency Protocol

      • A. J. Field, P. G. Harrison

      Pages 237-247

It is widely recognized that the complexity of parallel and distributed systems is such that proper tools must be employed during their design stage in order to achieve the quantitative goals for which they are intended. This volume collects recent research results obtained within the Basic Research Action Qmips, which bears on the quantitative analysis of parallel and distributed architectures. Part 1 is devoted to research on the usage of general formalisms stemming from theoretical computer science in quantitative performance modeling of parallel systems. It contains research papers on process algebras, on Petri nets, and on queueing networks. The contributions in Part 2 are concerned with solution techniques. This part is expected to allow the reader to identify among the general formalisms of Part I, those that are amenable to an efficient mathematical treatment in the perspective of quantitative information. The common theme of Part 3 is the application of the analytical results of Part 2 to the performance evaluation and optimization of parallel and distributed systems. Part 1. Stochastic Process Algebras are used by N. Gotz, H. Hermanns, U. Herzog, V. Mertsiotakis and M. Rettelbach as a novel approach for the struc­ tured design and analysis of both the functional behaviour and performability (i.e performance and dependability) characteristics of parallel and distributed systems. This is achieved by integrating stochastic modeling and analysis into the powerful and well investigated formal description techniques of process algebras.

• Processing
• algebra
• algorithmics
• algorithms
• calculus
• computer
• computer architecture
• distributed memory
• distributed systems
• modelling
• networks
• optimization
• performance
• scheduling
• simulation

• INRIA Institut National de Recherche en Informatique et en Automatique 2004, Valbonne Cedex, France

  François Baccelli, Alain Jean-Marie

• Department of Computing Science, University of Newcastle, Newcastle upon Tyne, UK

  Isi Mitrani

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