Modeling and Optimization a Production/Maintenance Integrated Planning

Abstract:

This study is on the integrated planning problem of maintenance and production within the frame work of a system subject to periodic preventive replacements with minimal repairs in case of unplanned failures. A model was developed using the overall cost by considering the interdependence between the maintenance plan and the production schedule. The overall cost contains two parts: the costs of launching a product, production, storage and breaking on the demand and the preventive and corrective maintenance costs for multi-periods and multi-products systems. The purpose of this integration is to find simultaneously the optimal cycle T at which the preventive maintenance takes place and the optimal values of lot-size by adding the setup time constraint. Using the mixed integer linear programming these optimal values minimize the total cost over a finite horizon. The results show that the proposed model performs quite well and opens new research direction for future improvements.

• Periodical: International Journal of Engineering Research in Africa (Volume 28)
• Pages: 169-181
• DOI: https://doi.org/10.4028/www.scientific.net/JERA.28.169
• Online since: January 2017
• Authors: Ghita Ettaye*, Abdellah El Barkany, Ahmed El Khalfi
• Keywords: Integrated Planning, Lot-Size, Minimal Repair, Preventive Maintenance, Setup Time

References

[1] B. Karimia, S.M.T. Fatemi Ghomia, J.M. Wilsonb, The capacitated lot sizing problem: a review of models and algorithms, Omega the International Journal of Management Sciences 31 (2003) 365-378.

DOI: 10.1016/s0305-0483(03)00059-8

[2] G. ETTAYE, A. Elbarkany, A. Elkhalfi, The integration of maintenance plans and production scheduling for a degradable multi-state system: A literature review, International journal of productivity and quality management. 19 (2016) 74-97.

DOI: 10.1504/ijpqm.2016.078017

[3] J. Orlicky, The Successful Computer System: it's planning development and Management in a Business Enterprise. New York: McGraw-Hill, 1968, pp.162-168.

[4] M.A. Selsouli, Modélisation et résolution d'un problème de la planification conjointe de production et de maintenance. Thèse De Doctorat, l'Université De Nantes, (2011).

DOI: 10.4000/amades.1216

[5] H. M. Wagner, T. M. Whitin, A dynamic version of the economic lot size model, Management Science. 5 (1958) 89-96.

DOI: 10.1287/mnsc.5.1.89

[6] A.S. Manne, Programming of economic lot-sizes, Management Science. 4 (1958) 115- 135.

[7] E. Aghezzaf, M. Jamal, D. Ait-Kadi, An integrated production and preventive maintenance planning model, European Journal of Operational Research. 181 (2007) 679-685.

DOI: 10.1016/j.ejor.2006.06.032

[8] E. Aghezzaf, C. Sitompul, N. Najid, Integrated production planning and preventive maintenance in deteriorating production systems, Information Sciences. 178 (2008) 3382-3392.

DOI: 10.1016/j.ins.2008.05.007

[9] M. Nourelfath, E. Chatelet, Integrating production, inventory and maintenance planning for a parallel system with dependent components, Reliability Engineering and System Safety. 101 (2012) 59-66.

DOI: 10.1016/j.ress.2012.02.001

[10] M. Nourelfath, M.C. Fitouhi, M. Machani, An Integrated Model for Production and Preventive Maintenance Planning in Multi-State Systems, IEEE Transactions on Reliability. 59 (2010) 496-506.

DOI: 10.1109/tr.2010.2056412

[11] F. Yalaoui, K. Chabbi, A. Yalaoui, Integrated production planning and preventive maintenance in deteriorating production systems, Information Sciences. 278 (2014) 841-861.

DOI: 10.1016/j.ins.2014.03.097

[12] N. Najid, M.A. Selsouli, A. Mohafid, An integrated production and maintenance planning model with time windows and shortage cost, International Journal of Production Research. 49 (2011) 2265-2283.

DOI: 10.1080/00207541003620386

[13] D. Bergeron, Couplage de la simulation et de l'optimisation pour une planification intégrée de la production et de la maintenance des systèmes de production flexibles. La maîtrise en génie industriel, Université du Québec à Trois-Rivières, (2012).

DOI: 10.2307/j.ctv30dxwxv.64