Document Type

Article - postprint

Department

Mathematics (HMC)

Publication Date

12-2011

Abstract

We explore whether dynamically reassigning servers to parallel queues in response to queue imbalances can reduce average waiting time in those queues. We use approximate dynamic programming methods to determine when servers should be switched, and we compare the performance of such dynamic allocations to that of a pre-scheduled deterministic allocation. Testing our method on both synthetic data and data from airport security checkpoints at Boston Logan International Airport, we find that in situations where the uncertainty in customer arrival rates is significant, dynamically reallocating servers can substantially reduce waiting time. Moreover, we find that intuitive switching strategies that are optimal for queues with homogeneous entry rates are not optimal in this setting. Keywords: control of queues, fluid queues, approximate dynamic programming, dynamic server allocation, workforce management.

Comments

Pdf of accepted manuscript.

Rights Information

© 2011 IIE Transactions

Included in

Mathematics Commons

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