An Integrated Model for Production and Preventive Maintenance Planning in Multi-State Systems

Integrated preventive maintenance and production decisions for imperfect processes

“…As a result, production and maintenance plans are often not optimal with respect to the objective of minimizing the combined maintenance and production cost. Because of the inter-dependence between production and maintenance, their integration has been shown to be more economical [1,2]. On the other hand, performing PM yields reductions in quality related costs.…”

“…In [2], the authors investigate the value of integrating PM planning and production scheduling for a single machine. While all the above-mentioned papers consider that the production system may experience only two performance levels (perfect functioning or complete failure), Nourelfath et al [1] have developed an integrated production and PM planning model for a multi-state system [20][21][22][23][24][25][26]. For large-size problems, they have proposed a genetic algorithm to deal with the preventive maintenance selection task.…”

“…given that the machine was in control at time ψ t k À 1 Z t k number of nonconforming items produced in ψ t k À 1 ; ψ t k À Á in period t y t k actual age right before the kth preventive maintenance in period t w t k actual age right after the kth preventive maintenance in period t η imperfectness factor of preventive maintenance production time during period t CR total restoration cost CN total cost of producing nonconforming items CQ total cost of preventive maintenance CPM total cost of preventive maintenance CI total cost of inspection TC quantity of product p to be produced in period t x pt quantity of product p to be produced in period t I pt inventory level of product p at the end of period t B pt backorder level of product p at the end of period t Set pt binary variable, which is equal to 1 if the setup of product p occurs at the end of period t, and 0 otherwise 1 The singular and plural of an acronym are always spelled the same.…”

An integrated production and delay-time based preventive maintenance planning model for a multi-product production system

“…The backorder cost is considered and an enumeration method is used to get all of the PM solutions in the model, which was later extended in [9] to multi-state systems. Nourelfath et al [15] also developed an integrated model for production and PM planning in multi-stage systems, where the preventive maintenance selection task in the integrated planning model is solved using a genetic algorithm. This work was then extended by Nourelfath and Chatelet [14] to a parallel system with dependent components, and a simulated annealing algorithm was developed.…”

Integration of Maintenance in the Tactical Production Planning Process under Feasibility Constraint

“…He studied two failures modes for which the price of the resuming of the production varies, and proposed a dynamic programming model to study the two cases and to provide a dynamic production plan. All the others authors [1,8,10,12,4,9,6,2] propose to determine jointly a production plan and a preventive maintenance policy. [1,8,10] propose a policy of periodic maintenance where preventive maintenances can only be carried out at the beginning of the periods.…”