Iranian Institute of Industrial Engineering Journal of Industrial and Systems Engineering 1735-8272 12 1 2018 11 07 A multi-stage stochastic programming for condition-based maintenance with proportional hazards model 18 38 76728 EN Ali Yahyatabar Faculty of Industrial Engineering, K.N. Toosi University of Technology, Tehran, Iran Amir Abbas Najafi Faculty of Industrial Engineering, K.N. Toosi University of Technology, Tehran, Iran Journal Article 2018 02 14 Condition-Based Maintenance (CBM) optimization using Proportional Hazards Model (PHM) is a kind of maintenance optimization problem in which inspections of a system relevant to its failure rate depending on the age and value of covariates are performed in time intervals. The general approach for constructing a CBM based on PHM for a system is to minimize a long run average cost per unit of time as an objective function in which the model is considered for an infinite span of time.  In this paper, a CBM model is presented based on two types of maintenance actions (minimal repair and replacement) to determine control limits to cope with the class of real-life problems in which a system would be planned for a specified planning horizon. An effective multi-stage stochastic programming approach is used to come up with the minimum expected cost given the state scenarios of the system in periods over a planning horizon. An extensive computational study is presented to demonstrate the efficiency of the proposed model through numerical instances solved by a novel hybrid meta-heuristic algorithm. A sensitivity is also performed on cost parameters to designate the effects of minimal repair cost and replacement cost in the proposed model. https://www.jise.ir/article_76728_f54f4621935faced3a146de32741326d.pdf