Title
Time and inventory dependent optimal maintenance policies for single machine workstations: An MDP approach.
Abstract
In this work the problem of obtaining an optimal maintenance policy for a single-machine, single-product workstation that deteriorates over time is addressed, using Markov Decision Process (MDP) models. Two models are proposed. The decision criteria for the first model is based on the cost of performing maintenance, the cost of repairing a failed machine and the cost of holding inventory while the machine is not available for production. For the second model the cost of holding inventory is replaced by the cost of not satisfying the demand. The processing time of jobs, inter-arrival times of jobs or units of demand, and the failure times are assumed to be random. The results show that in order to make better maintenance decisions the interaction between the inventory (whether in process or final), and the number of shifts that the machine has been working without restoration, has to be taken into account. If this interaction is considered, the long-run operational costs are reduced significantly. Moreover, structural properties of the optimal policies of the models are obtained after imposing conditions on the parameters of the models and on the distribution of the lifetime of a recently restored machine. (C) 2013 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2013
10.1016/j.ejor.2013.02.011
European Journal of Operational Research
Keywords
Field
DocType
Dynamic programming,Maintenance,Markov processes,Reliability,Stochastic processes
Dynamic programming,Mathematical optimization,Multiple-criteria decision analysis,Markov process,Work in process,Workstation,Stochastic process,Markov decision process,Optimal maintenance,Mathematics,Operations management
Journal
Volume
Issue
ISSN
228
3
0377-2217
Citations 
PageRank 
References 
5
0.46
12
Authors
2
Name
Order
Citations
PageRank
Juan Sebastian Borrero1253.94
Raha Akhavan-Tabatabaei26611.78