Queuing Systems with Enforced Idle Time

Authors

Bruce A. Powell
Benjamin Avi-Itzhak

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