Generalized Geometric Distributions in the Theory of Queues

Authors

Richard V. Evans

Document Type

Report

Publication Date

4-1-1969

Abstract

The geometric character of the limiting distribution of the joint distribution of the number of customers in the system and a finite valued supplementary- variable are extended to the case of a continuous valued supplementary variable, As an example the results are used to derive the limiting distribution for M|G|1.

Keywords

Operations research, Queueing theory, Markov processes, Distribution (Probability theory)

Publication Title

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

Issue

Technical memorandum no. 145

Rights

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

Recommended Citation

Evans, Richard V., "Generalized Geometric Distributions in the Theory of Queues" (1969). Research Reports from the Department of Operations. 223.
https://commons.case.edu/wsom-ops-reports/223