Optimal Hysteretic Control for the BMAP/G/1 System with Single and Group Service Modes

Authors

Alexander N. Dudin, Belarusian State UniversityFollow
Srinivas R. Chakravarthy, Kettering UniversityFollow

Document Type

Article

Publication Date

4-1-2002

Publication Title

Annals of Operations Research

Abstract

In this paper, we consider a single server queuing model with an infinite buffer in which customers arrive according to a batch Markovian arrival process (BMAP). The services are offered in two modes. In mode 1, the customers are served one at a time and in mode 2 customers are served in groups of varying sizes. Various costs for holding, service and switching are imposed. For a given hysteretic strategy, we derive an expression for the cost function from which an optimal hysteretic control can be obtained. Illustrative numerical examples are presented.

Volume

112

Issue

Issue 1–4

First Page

153

Last Page

169

DOI

10.1023/A:1020985106453

ISSN

0254-5330 (Print) 1572-9338 (Online)

Rights

© 2002 Kluwer Academic Publishers

Recommended Citation

Dudin, Alexander N. and Chakravarthy, Srinivas R., "Optimal Hysteretic Control for the BMAP/G/1 System with Single and Group Service Modes" (2002). Industrial & Manufacturing Engineering Publications. 21.
https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/21