Research Reports from the Department of Operations
Document Type
Report
Publication Date
1-1-1967
Abstract
This report examines single-server queueing systems, focusing on M/G/1 (Poisson arrivals with general service times) and GI/M/1 (general independent arrivals with negative exponential service times). Traditional approaches, often relying on transforms to analyze distributions, have been criticized for obscuring key behavioral details. The report explores more recent advancements and research in queueing systems. The author presents a simplified method for studying queueing systems that minimizes the use of transforms while maintaining analytical rigor, making it well-suited for teaching and practical applications. The report extends its applicability to systems with group arrivals and services, using Kendall’s notation to denote queue configurations.
Keywords
Operations research, Queuing theory, Mathematical optimization
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 75
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Bhat, U. Narayan, "A Study of the Queueing Systems M/G/1 and GI/M/1" (1967). Research Reports from the Department of Operations. 574.
https://commons.case.edu/wsom-ops-reports/574