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Optimal dynamic service rate control in time...
Journal article

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

Abstract

In this paper, deterministic optimal control theory is used to find the time dependent optimal service rate in an 5-server, finite capacity (N), markovian queue (M/M/S/A). Chapman-Kolmogorov differential equations are used as the state equations of the control problem with N +1 state variables and one control variable. The objective to be minimized is the cost of waiting customers plus the cost of service over a specified time interval. A final …

Authors

PARLAR M

Journal

International Journal of Systems Science, Vol. 15, No. 1, pp. 107–118

Publisher

Taylor & Francis

Publication Date

January 1984

DOI

10.1080/00207728408926548

ISSN

0020-7721