Paper Info
Title
A geometric process model for M/PH(M/PH)/1/K queue with new service machine procurement lead time.
Abstract
In this article, we consider a geometric process model for M/PH(M/PH)/1/K queue with new service machine procurement lead time. A maintenance policy (N - 1, N) based on the number of failures of the service machine is introduced into the system. Assuming that a failed service machine after repair will not be as good as new, and the spare service machine for replacement is only available by an order. More specifically, we suppose that the procurement lead time for delivering the spare service machine follows a phase-type (PH) distribution. Under such assumptions, we apply the matrix-analytic method to develop the steady state probabilities of the system, and then we obtain some system performance measures. Finally, employing an important Lemma, the explicit expression of the long-run average cost rate for the service machine is derived, and the direct search method is also implemented to determine the optimal value of N for minimising the average cost rate. © 2013 Copyright Taylor and Francis Group, LLC.
Year
DOI
Venue
2013
10.1080/00207721.2011.652228
International Journal of Systems Science
Keywords
Field
DocType
geometric process,maintenance policy,procurement lead time,repairable queuing system,matrix analytic method,system performance,process model,queuing system,steady state
Mathematical optimization,Spare part,Geometric process,Queue,Average cost,Lead time,Steady state,Procurement,Mathematics,Reliability engineering,Lemma (mathematics)
Journal
Volume
Issue
ISSN
44
6
14645319
Citations 
PageRank 
References 
4
0.45
9
Authors
3
Name
Order
Citations
PageRank
Miaomiao Yu1556.13
Yinghui Tang2425.95
Yonghong Fu3252.83