Research Reports from the Department of Operations
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