Work

Supplementary variable method applied to the MAP/G/1 queueing system

Year: 1998

Type: supplementary-materials

Abstract: In this paper we consider the MAP/G/1 queueing system with infinite capacity. In analysis, we use the supplementary variable method to derive the double transform of the queue length and the remaining service time of the customer in service (if any) in the steady state. As will be shown in this paper, our method is very simple and elegant. As a one-dimensional marginal transform of the double transform, we obtain the generating function of the queue length in the system for the MAP/G/1 queue, which is consistent with the known result.

Source: ANZIAM Journal

DOI: 10.1017/s033427000001239x

Authors: Bong Dae Choi, Gang Uk Hwang, Dong Hwan Han

Institutions: Korea Advanced Institute of Science and Technology, Sun Moon University

Language: English

Topic: Advanced Queuing Theory Analysis

Subfield: Management Information Systems

Field: Business, Management and Accounting

Domain: Social Sciences

Open Access status: bronze

Funder: Korea Advanced Institute of Science and Technology

OpenAlex ID: W2172048909

Cites: 18

Cited by: 20

Related to: 10