A queueing analysis of multi-purpose production facility's operations

Lotfi Tadj; Zhe George Zhang; Chakib Tadj

doi:10.3934/jimo.2011.7.19

Article Contents

2011, Volume 7, Issue 1: 19-30. Doi: 10.3934/jimo.2011.7.19

This issue Previous Article On the admission control and demand management in a two-station tandem production system Next Article A hybrid particle swarm optimization and tabu search algorithm for order planning problems of steel factories based on the Make-To-Stock and Make-To-Order management architecture

A queueing analysis of multi-purpose production facility's operations

1.
Saint Mary's University, Sobey School of Business, Department of Finance, Information Systems, and Management Science, Halifax, Nova Scotia, B3H 3C3
2.
Western Washington University, College of Business and Economics, Department of Decision Sciences, Bellingham, WA 98225
3.
École de Technologie Supérieure, Département de Génie Électrique, Montréal, Québec, H3C 1K3

Received: June 30, 2009

Revised: August 31, 2010

Published: December 2010

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Abstract

In this paper, we study the production time allocation issue for a multi-purpose manufacturing facility. This production facility can produce different types of make-to-order and make-to-stock products. Using a vacation queueing model, we develop a set of quantitative performance measures for a two-parameter time allocation policy. Based on the renewal cycle analysis, we derive an average cost expression and propose a search algorithm to find the optimal time allocation policy that minimizes the average cost. Some numerical examples are presented to demonstrate the effectiveness of the search algorithm. The vacation model used in this paper is also a generalization of some previous vacation queueing models in the literature. The results obtained in this study are useful for production managers to design the operating policy in practice.

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Mathematics Subject Classification: Primary: 60K10, 60K25; Secondary: 90B22, 90B25.

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