Research Reports from the Department of Operations
Document Type
Report
Publication Date
6-1-1966
Abstract
Stationary Poisson arrivals from two classes are served by a single server. The customers of the same class are served until no more customers of this class are in the system. The service facility is then switched to serve all customers of the other class and switched again when empty. Service and switch-over times have arbitrary distributions. In this paper the moments of the busy periods and the queue sizes at switching point are obtained and the Laplace transform and expected value of the waiting time for each class. Some special cases are considered in detail.
Keywords
Poisson processes, Queuing theory, Laplace transformation, Operations research
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 63
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Mevert, Peter, "The Alternating Queuing Process with Setup Times" (1966). Research Reports from the Department of Operations. 18.
https://commons.case.edu/wsom-ops-reports/18