Modelling of multi-period multi-product production planning considering production routes

作者：Mahdavi Iraj^*; Taghizadeh Kaveh; Bagherpour Morteza; Solimanpur Maghsud

来源：International Journal of Production Research, 2012, 50(6): 1749-1766.

DOI：10.1080/00207543.2011.558127

• multi-period multi-product production planning
• mixed integer linear programming
• aggregate production planning
• optimisation
• operational sequence

The multi-period multi-product (MPMP) production planning problems, generally, deal with matching production levels of individual products with fluctuated demands over planning horizon. The conventional MPMP optimisation models suffer from insufficient utilisation of available capacity of machines. This fallacy is due to inappropriate formulation of machine capacity and material handling constraints. In this study, a novel mathematical model is proposed to simultaneously optimise production quantities and provide information about managerial decisions such as subcontracting, carrying inventory/backordering, and also hiring/layoff personnel. The problem is then formulated as a mixed integer linear programming (MILP) model by applying appropriate linearisation of non-linear components. The objective is to minimise production costs comprising of production, storage, shortage, subcontracting costs and costs associated with hiring/dismissing labourers. Superiority of the proposed model over existing ones, has been initially evaluated by solving the case presented by Byrne and Bakir [Byrne, M. D. and Bakir, M. A., 1999. Production planning using a hybrid simulation-analytical approach. International Journal of Production Economics, 59 (1), 305-311], and then evaluated by comparing the results obtained from solving both the proposed and the conventional MPMP production planning models using a 100-randomly-generated-test-problem.

• 出版日期2012