Research Reports from the Department of Operations

Authors

U. Narayan Bhat

Document Type

Report

Publication Date

7-1-1968

Abstract

Queue length and waiting time processes in transient and steady states are studied in the following single server queueing models: customers arrive in a Poisson process, register in the order of their arrival and form groups of a constant size, say k. (1) customers are selected for service at random from the group at the head of the queue and the service times have a general distribution. (2) customers belonging to a group are ordered according to the length of service they demand and served in this order starting with the one with the shortest service (or with the longest service) and (3) customers are served in groups of size k or less and the service time of the group is the sum of the service times of the individual members in the group.

Keywords

Operations research, Queueing theory, Poisson processes, Stochastic processes, Mathematical models

Publication Title

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

Issue

Technical memorandum no. 111

Rights

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

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