Research Reports from the Department of Operations
Document Type
Report
Publication Date
3-1-1967
Abstract
This paper addresses challenges in analyzing multi-server queues with recurrent input and exponential service times, where departure rates depend on server availability. Previous studies established equilibrium behavior for GI/M/s systems, focusing on imbedded Markov chains and long-term behavior. However, time-dependent behavior has only been explored for specific interarrival distributions or limited cases, such as s=2,3. General studies on waiting times emphasize equilibrium solutions but leave gaps in simpler methods applicable to GI/M/s systems. This paper seeks to address this gap by developing approaches for transient behavior, extending the understanding of queue dynamics beyond equilibrium states.
Keywords
Operations research, Queuing theory, Markov processes
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 78
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Bhat, U. Narayan, "Transient Behavior of Multi-Server Queues with Recurrent Input and Exponential Service times" (1967). Research Reports from the Department of Operations. 611.
https://commons.case.edu/wsom-ops-reports/611
