Research Reports from the Department of Operations
Document Type
Report
Publication Date
12-1-1967
Abstract
Enforced idle time occurs in any queuing system in which it is possible for the server to be idle and the queue length to be nonzero simultaneously. This paper examines queuing systems in which the server is conktrained to start service only at fixed intervals of time, with arrivals of customers and service completions occurring continuously. The GIIM/N, GI/D/N, M/D/N,and GI/G/1 queuing systems with enforced idle time are studied and some closed form steady-state results are presented. An application to railroad cfir pool systems is suggested.
Keywords
Operations research, Queuing theory, Service industries--Management, Railroad cars, Scheduling (Management), Mathematical models
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 99
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Powell, Bruce A. and Avi-Itzhak, Benjamin, "Queuing Systems with Enforced Idle Time" (1967). Research Reports from the Department of Operations. 462.
https://commons.case.edu/wsom-ops-reports/462