Optimal dynamic service rate control in time dependent M/M/S/N queues

DOI10.1080/00207728408926548zbMath0534.90036OpenAlexW1974751209MaRDI QIDQ3318504

Mahmut Parlar

Publication date: 1984

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728408926548

zbMATH Keywords

Newton-Raphson methodPontryagin's maximum principleapplication of conrol theoryChapman-Kolmogorov differential equationsfinite capacity markovian queueM/M/S/N systemoptimization in queueingtime dependent optimal service rate

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (1)

Control of the service process in a queueing system

Cites Work

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• Optimal Operating Policies for M/G/1 Queuing Systems
• Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain

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