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Optimal Scheduling of a Finite Capacity Shuttle under Delayed Information

Published online by Cambridge University Press:  27 July 2009

Mark P. Van Oyen  and
Demosthenis Teneketzis
Mark P. Van Oyen
Affiliation:
Department of Electrical Engineering and Computer Science University of Michigan, 1301 Beal A venue Ann Arbor, Michigan 48109-2122
Demosthenis Teneketzis
Affiliation:
Department of Electrical Engineering and Computer Science University of Michigan, 1301 Beal A venue Ann Arbor, Michigan 48109-2122
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Abstract

We consider the optimal scheduling of a finite capacity shuttle in a two-node network with imperfect information. When shuttle trips do not depend on the number of passengers carried, we prove optimality and monotonicity of threshold policies. We derive conditions for dispatching that reduce the computational effort required to compute an optimal threshold policy. We prove a counter-example to the optimality of threshold policies for finite horizon problems where trip lengths increase stochastically in the number of passengers carried.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 6 , Issue 1 , January 1992 , pp. 29 - 61
Copyright
Copyright © Cambridge University Press 1992

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