Recursive equations based models of queueing systems

Nikolai Krivulin

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Advanced Queuing Theory Analysis Simulation Techniques and Applications Age of Information Optimization

Abstract

An overview of the recursive equations based models and their applications in simulation based analysis and optimization of queueing systems is given. These models provide a variety of systems with a convenient and unified representation in terms of recursions for arrival and departure times of customers, which involves only the operations of maximum, minimum, and addition.

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References

1952The theory of queues with a single server 1955On the theory of queues with many servers 1991Algorithms for unboundedly parallel simulations 1989Second-order stochastic properties in queueing systems 1993Mathematical methods in queueing theory 1989Stochastic monotonicity in general queueing networks 1992Convexity of sample path performance and strong consistency of infinitesimal perturbation analysis estimates 1986Variance reduction methods

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