Optimal intensity control of a multi-class queue

Document Type

Article

Publication Date

12-1-1989

Abstract

We study a mixed problem of optimal scheduling and input and output control of a single server queue with multi-classes of customers. The model extends the classical optimal scheduling problem by allowing the general point processes as the arrival and departure processes and the control of the arrival and departure intensities. The objective of our scheduling and control problem is to minimize the expected discounted inventory cost over an infinite horizon, and the problem is formulated as an intensity control. We find the well-known cμ is the optimal solution to our problem. © 1989 J.C. Baltzer A.G. Scientific Publishing Company.

Identifier

0347324960 (Scopus)

Publication Title

Queueing Systems

External Full Text Location

https://doi.org/10.1007/BF01225320

e-ISSN

15729443

ISSN

02570130

First Page

281

Last Page

293

Issue

4

Volume

5

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