Mathematical modeling of single and multi-unit process planning problem in a reconfigurable environment
Abdelkader Mechaacha  1@  , Nadjib Brahimi  2, 3@  , Fayçal Belkaid  1@  
1 : university of Tlemcen
2 : ESC Rennes School of Business
ESC Rennes School of Business
3 : Laboratoire des Sciences du Numérique de Nantes
Institut National de Recherche en Informatique et en Automatique, Centre National de la Recherche Scientifique : UMR6004, IMT Atlantique, Nantes Université - École Centrale de Nantes, Nantes université - UFR des Sciences et des Techniques, Centre National de la Recherche Scientifique

A reconfigurable manufacturing system (RMS) is one capable of changing its functionality or capacity by changing the type of product manufactured or the throughput of production. Since its introduction, RMS emerged as one of the promising manufacturing paradigms and changed how we perceived different manufacturing activities, such as scheduling and process planning.
Process planning can be defined as the activity of converting a product design into manufacturing steps, consisting of operations sequence and the parameters where these operations will be processed.
We can identify two types of Process planning: single-unit (SUPP) and multi-unit (MUPP). The difference is that in the MUPP, we generate multiple process plans for multiple units executed sequentially instead of just one in the SUPP case.
The SUPP problem has been abundantly studied in the literature, either in conventional manufacturing systems or in reconfigurable ones. On the other hand, MUPP problems received little interest, especially in the RMS context; we can mention from a few.
The main contributions of this paper are as follows: i) Developing a mathematical model for SUPP and MUPP problems, ii) Proposing a tradeoff approach called Repetitive-SUPP (R-SUPP), iii) Evaluating the mathematical models performance.


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