Optimal control of multi‐channel service systems

Michael J. Magazine

19 citations0/0 files storedNaval Research Logistics Quarterly

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Advanced Queuing Theory Analysis Supply Chain and Inventory Management Optimization and Search Problems

Abstract

Abstract D. P. Heyman, M. Sobel, and M. J. Magazine among others have shown existence of an optimal policy for control of single server queuing systems. For queues under periodic review existence of an analogous rule is established for multi‐server systems. Formulation as a dynamic programming problem is given and proofs for existence are presented for finite horizon, infinite horizon and average cost criteria.

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1968Optimal Operating Policies for M / G /1 Queuing Systems 1969Optimal Average-Cost Policy for a Queue with Start-Up and Shut-Down Costs

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1985Optimal Control of an M/M/S Queueing System 1977Optimal control for multi‐servers queueing systems under periodic review

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