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On the optimal allocation of service to impatient tasks

Lookup NU author(s): Professor Kevin Glazebrook, Dr Phil Ansell, Ryan Thomas Dunn, Richard Reuben Lumley


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Service is often provided in contexts where tasks or customers are impatient or perishable in that they have natural lifetimes of availability for useful service. Moreover, these lifetimes are usually unknown to the service provider. The question of how service might best be allocated to the currently waiting tasks or customers in such a context has been neglected and we propose three simple models. For each model, an index heuristic is developed and is assessed numerically. In all cases studied the heuristic comes close to optimality.

Publication metadata

Author(s): Glazebrook KD, Ansell PS, Dunn RT, Lumley RR

Publication type: Article

Publication status: Published

Journal: Journal of Applied Probability

Year: 2004

Volume: 41

Issue: 1

Pages: 51-72

ISSN (print): 0021-9002

ISSN (electronic): 1475-6072

Publisher: Applied Probability Trust


DOI: 10.1239/jap/1077134667


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