Research Reports from the Department of Operations

Document Type

Report

Publication Date

7-1-1966

Abstract

Single server queuing systems are considered where two populations with different priority indices emanate from infinite sources and request service. The service times are independent random variables drawn from two different distributions. The actual service time requirement is only known upon completion of the service. The discipline followed is such that a low priority customer is preempted upon arrival of a high priority customer only if the elapsed service time is less than z. If the elapsed service time is more than z, the high priority customer waits until the completion of the service. Optimal values of z are obtained for linear cost functions.

Keywords

Operations research, Queuing theory, Stochastic processes, Linear programming, Mathematical optimization

Publication Title

Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University

Issue

Technical memorandum no. 60

Rights

This work is in the public domain and may be freely downloaded for personal or academic use

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