Research Reports from the Department of Operations
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
Recommended Citation
Bhat, U. Narayan, "Some Queueing Systems with Mixed Disciplines" (1968). Research Reports from the Department of Operations. 544.
https://commons.case.edu/wsom-ops-reports/544