Titlebook: Quantitative Methods in Parallel Systems; Fran?ois Baccelli,Alain Jean-Marie,Isi Mitrani Book 1995 ECSC-EC-EAEC, Brussels-Luxembourg 1995

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Majorization and Stochastic Comparison Techniques for Scheduling of Parallel Systemsgoal here is to illustrate one of the most successful approaches, based on sample path analysis and stochastic comparison techniques, for solving such scheduling problems. Both monoprogrammed and multiprogrammed parallel systems are analyzed. New results are presented for these models.

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Stochastic Process Algebra for Discrete Event Simulationtional semantics and derive equivalences over it that imply equations which can be used to compare and transform processes representing simulations. We discuss notions of equivalence of simulations and illustrate with examples that include queues.

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Polling Models with Threshold Switchingtter queue reaches some level ., either preemptively or non-preemptively. All switches are instantaneous..We determine the joint queue length distribution, both using analytic techniques and using the power series algorithm.

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Allocation of Customer Types to Servers: Clustering is Optimallem of finding an allocation that minimizes a weighted sum of the mean waiting times. We expose the structure of an optimal allocation and describe for some special cases in detail how the structure may be exploited in actually computing an optimal allocation.