A Stochastic Production and Maintenance Planning Optimisation for Multi Parallel Machine
Hafidi Nouhayla, El Barkany Abdellah & Mahmoudi Morad
Abstract
Our manufacturing system is composed of m multiple parallel machines (m> 1) manufacturing one type of product. Indeed, the production system receives a random request during a finite time horizon of which a level of service is required. The demand is greater than the total capacity of the machine park, hence the need for outsourcing to compensate for the missing demand. In addition, we consider that the unit cost of subcontracting is variable depending on the quantity subcontracted. The main objective of this approach is to jointly optimize for each period the production rate, the subcontracting rate, the preventive maintenance rate and the working time of each machine, while minimizing the costs of production, inventory holding, backlog, outsourcing and maintenance.
Keywords
References
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