A multiobjective control approach to priority queues

Onésimo Hernández-Lerma and Luis F. Hoyos-Reyes

Mathematical Methods of Operations Research, 2001, vol. 53, issue 2, 265-277

Abstract: This paper introduces a multiobjective control formulation of the priority assignment (PA) problem for a discrete-time single-server queueing system with q competing classes of customers, and the discounted cost criterion. A multiobjective priority assignment (MPA) problem is presented, which is analyzed from the viewpoint of both Pareto and lexicographic optimality. The cμ-rule, which is a well known optimal control policy for the PA problem, is shown to be Pareto optimal, strong Pareto optimal with respect to a certain norm on ℝ q , and also lexicographically optimal for MPA. These results are used to study a constrained PA problem. Copyright Springer-Verlag Berlin Heidelberg 2001

Keywords: AMS subject classification. 93E20; 90C27; 90C40.; Key words: Priority assignment in multi-class queueing systems; cμ-rule; multiobjective control problems; Pareto optimality; lexicographic optimality; constrained Markov control problems (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/PL00003995

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