Research Reports from the Department of Operations
Document Type
Report
Publication Date
1-1-1969
Abstract
In the study of the queue GI/M/1 (with general independent inter-arrivals, exponential service times and a single server) some results of interest are expressed in terms of the least positive root ξ of a functional equation of the form z = K(z). A computational procedure to obtain ξ numerically with any preassigned degree of accuracy for the queues Ek/M/1 (with Erlangian interarrivals) and D/M/1 (with constant interarrivals) is given. Some upper bounds for the root ξ are also obtained.
Keywords
Operations research, Queuing theory, Numerical analysis, Mathematical analysis, Stochastic processes, Exponential families (Statistics)
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 134
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Sahin, Izzet, "On the Least Positive Root of the Equation z = K(z) in Queueing Theory" (1969). Research Reports from the Department of Operations. 367.
https://commons.case.edu/wsom-ops-reports/367