Mathematical Model for Production Plan Optimization—A Case Study of Discrete Event Systems

Sadok Rezig, Wajih Ezzeddine, Sadok Turki and Nidhal Rezg
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Sadok Rezig: Laboratoire de Génie Informatique, de Production et de Maintenance (LGIPM), UFR MIM, University of Lorraine, 57000 Metz, France
Wajih Ezzeddine: Laboratoire de Génie Informatique, de Production et de Maintenance (LGIPM), UFR MIM, University of Lorraine, 57000 Metz, France
Sadok Turki: Laboratoire de Génie Informatique, de Production et de Maintenance (LGIPM), UFR MIM, University of Lorraine, 57000 Metz, France
Nidhal Rezg: Laboratoire de Génie Informatique, de Production et de Maintenance (LGIPM), UFR MIM, University of Lorraine, 57000 Metz, France

Mathematics, 2020, vol. 8, issue 6, 1-16

Abstract: This paper proposes an optimal scheduling model under production and maintenance constraints for a real case of a discrete event system. The intent was to use the rich mathematical theory and algorithms of optimization in the study of this important class of systems. The current study detailed firstly a new approach for mapping a simulation event relationship graph into a mixed-integer program, with a flexible workshop real case. Several other potential applications of the mathematical model are examined, thanks to the model constraints flexibility characteristics, including a general case of a manufacturing system for optimal resource scheduling, an application on the case of hospital beds’ management. The model extension could be also interesting for other applications like museum systems or the case of big data in complex and social networks.

Keywords: optimization; mathematical theory; algorithms; scheduling discrete event systems; production; theory of regions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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