Two-Class Priority System with Setup Times

Authors

Peter Mevert

Document Type

Report

Publication Date

11-1-1966

Abstract

This paper analyzes a single-server queuing system with two classes of customers. Service is provided on a first-come, first-served basis within each class, with three priority disciplines considered: preemptive head-of-line, alternating between classes, and standard first-come, first-served. A setup or orientation time is incurred whenever the server switches from one class to another. Customer arrivals follow a Poisson process, while service and setup times are governed by arbitrary distributions. Using modifications of the virtual waiting time method, the study derives Laplace transforms and expected values for the steady-state waiting time distributions under the three priority disciplines. Special cases are also examined in detail.

Keywords

Operations research, Queuing theory, Poisson processes

Publication Title

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

Issue

Technical memorandum no. 72

Rights

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

Recommended Citation

Mevert, Peter, "Two-Class Priority System with Setup Times" (1966). Research Reports from the Department of Operations. 618.
https://commons.case.edu/wsom-ops-reports/618