A heuristic rule for routing customers to parallel servers

S.A.E. Sassen, H.C. Tijms, R.D. Nobel

Research output: Contribution to journalArticleAcademicpeer-review

25 Citations (Scopus)
1 Downloads (Pure)

Abstract

A practically important problem is the assignment of stochastically arriving service requests to one of several parallel service groups so as to minimize the long-run average sojourn time per service request. An exact solution of this multi-dimensional optimization problem is computationally infeasible. A simple heuristic solution method yielding a good suboptimal rule will be given for the case of server groups with different and generally distributed service times. This solution method is based on a decomposition approach and first principles from Markov decision theory. The main idea of the heuristic method is to apply one step of policy improvement to the best Bernoulli-splitting rule.
Original languageEnglish
Pages (from-to)107-121
JournalStatistica Neerlandica
Volume51
Issue number1
DOIs
Publication statusPublished - 1997

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