Extended economic production quantity models with preventive maintenance

Mokhtari, H.; Asadkhani, J.

doi:10.24200/sci.2019.51199.2055

Extended economic production quantity models with preventive maintenance

Document Type : Research Article

Authors

H. Mokhtari ¹
J. Asadkhani ²

¹ Department of Industrial Engineering, Faculty of Engineering, University of Kashan, Kashan, P.O. Box 8731753153, Iran

² Department of Management and Entrepreneurship, Faculty of Humanities, University of Kashan, Kashan, P.O. Box 1471835191, Iran

10.24200/sci.2019.51199.2055

Abstract

This paper generalizes the standard economic production quantity (EPQ) model in process manufacturing industry by incorporating regular preventive maintenance (PM) activities into classic EPQ model. The PM program improves the condition of the production to an acceptable level, and avoids potential stoppages and disruptions, hence, it is a vital task in every production process. However, the standard EPQ model does not consider PM activities and then is not applicable to real-world situations. We consider manufacturer which produces a product under EPQ setting with a defective production process, in which every production cycle involves a number of sub-production cycles. Two models are proposed, based on the disposal time of defective items, to determine optimal number of sub-production cycles. In model I, the disposal of defective items is performed once per cycle at the end of each production cycle, while in model II, the disposal of defective items is performed multiple times per cycle, at the end of each sub-production cycle. The total cost functions are derived for each model separately, and then simple solution algorithms are designed. A numerical example is presented and discussed to evaluate proposed models. The results illustrate that model II is more cost effective than model I.

Keywords

20.1001.1.10263098.2020.27.6.33.9

Main Subjects

Optimal Production and Maintenance Control

References

References:
1. Jain, M. and Rathore, S. Economic production quantity models with Shortage, price and stock-dependent Demand for deteriorating items", IJE Transactions, 20(2), pp. 159{166 (2007).
2. Pan, E., Jin, Y., Wang, S., and Cang, T. An integrated EPQ model based on a control chart for an imperfect production process", International Journal of Production Research, 50(23), pp. 6999{7011 (2012).
3. Khedlekar, U.K. A disruption production model with exponential demand", International Journal of Industrial Engineering Computations, 3(4), pp. 607{616 (2012).
4. Wee, H.M., Wang, W.T., and Yang, P.C. A production quantity model for imperfect quality items with shortage and screening constraint", International Journal of Production Research, 51(6), pp. 1869{1884 (2013).
5. Dash, B., Pattnaik, M., and Pattnaik, H. Deteriorated Economic Production Quantity (EPQ) model for declined quadratic demand with time value of money and shortages", Applied Mathematical Sciences, 8(73), pp. 3607{3618 (2014). 6. Karimi-Nasab, M. and Sabri-Laghaie, K. Developing approximate algorithms for EPQ problem with process compressibility and random error in producH. Mokhtari and J. Asadkhani/Scientia Iranica, Transactions E: Industrial Engineering 27 (2020) 3253{3264 3263 tion/inspection", International Journal of Production Research, 52(8), pp. 2388{2421 (2014). 7. Nasr, W.W., Salameh, M.K., and Moussawi-Haidar, L. Integrating the economic production model with deteriorating raw material over multi-production cycles", International Journal of Production Research, 52(8), pp. 2477{2489 (2014). 8. Pacheco-Velazquez, E.A. and C_ardenas-Barr_on, L.E. An economic production quantity inventory model with backorders considering the raw material costs", Scientia Iranica, 23(2), pp. 736{746 (2016). 9. Jawad, H., Jaber, M.Y., Bonney, M., and Rosen, M.A. Deriving an exergetic economic production quantity model for better sustainability", Applied Mathematical Modelling, 40(11{12), pp. 6026{6039 (2016). 10. Sadeghi, J., Akhavan Niaki, S.T., Malekian, M.R., and Sadeghi, S. Optimizing multi-item economic production quantity model with trapezoidal fuzzy demand and backordering: two tuned meta-heuristics", European Journal of Industrial Engineering, 10(2), pp. 170{195 (2016). 11. Al-Salamah, M. Economic production quantity in batch manufacturing with imperfect quality, imperfect inspection, and destructive and non-destructive acceptance sampling in a two-tier market", Computers & Industrial Engineering, 93, pp. 275{285 (2016). 12. Mokhtari, H., Naimi-Sadigh, A., and Salmasnia, A. A computational approach to economic production quantity model for perishable products with backordering shortage and stock-dependent demand", Scientia Iranica, 24(4), pp. 2138{2151 (2017). 13. Mokhtari, H. and Rezvan, M.T. A single-supplier, multi-buyer, multi-product VMI production-inventory system under partial backordering", Operational Research, 20(1), pp. 1{21 (2020). DOI: 10.1007/s12351- 017-0311-z 14. Nasr, W.W., Salameh, M., and Moussawi-Haidar, L. Economic production quantity with maintenance interruptions under random and correlated yields", International Journal of Production Research, 55(16), pp. 4544{4556 (2017). 15. Karmakar, S., Kumar De, S., and Goswami, A. A pollution sensitive dense fuzzy economic production quantity model with cycle time dependent production rate", Journal of Cleaner Production, 154, pp. 139{ 150 (2017). 16. Nobil, A.H., Sedigh, A.H.A., and C_ardenas-Barr_on, L.E. Multi-machine economic production quantity for items with scrapped and rework with shortages and allocation decisions", Scientia Iranica, Transaction E, Industrial Engineering, 25(4), pp. 2331{2346 (2018). 17. Wee, H.M., Fu, K., Chen, Z., and Zhang, Y. Optimal production inventory decision with learning and fatigue behavioral e_ect in labor intensive manufacturing", Scientia Iranica, 27(2), pp. 1{42 (2020). DOI: 10.24200/SCI.2018.50614.1788 18. Rezg, N., Dellagi, S., and Chelbi, A. Joint optimal inventory control and preventive maintenance policy", International Journal of Production Research, 46(19), pp. 5349{5365 (2008). 19. Radhoui, M., Rezg, N., and Chelbi, A. Integrated model of preventive maintenance, quality control and bu_er sizing for unreliable and imperfect production systems", International Journal of Production Research, 47(2), pp. 389{402 (2009). 20. Liao, G.L. and Sheu, S.H. Economic production quantity model for randomly failing production process with minimal repair and imperfect maintenance", International Journal of Production Economics, 130(1), pp. 118{124 (2011). 21. Sana, S.S. Preventive maintenance and optimal bu_er inventory for products sold with warranty in an imperfect production system", International Journal of Production Research, 50(23), pp. 6763{6774 (2012). 22. Wee, H.M. and Widyadana, G.A. Economic production quantity models for deteriorating items with rework and stochastic preventive maintenance time", International Journal of Production Research, 50(11), pp. 2940{2952 (2012). 23. Pal, B., Sana, S.S., and Chaudhuri, K. A mathematical model on EPQ for stochastic demand in an imperfect production system", Journal of Manufacturing Systems, 32(1), pp. 260{270 (2013). 24. Chen, Y.C. An optimal production and inspection strategy with preventive maintenance error and rework", Journal of Manufacturing Systems, 32(1), pp. 99{106 (2013). 25. Jafari, L. and Makis, V. Optimal lot-sizing and maintenance policy for a partially observable production system", Computers & Industrial Engineering, 93, pp. 88{98 (2016). 26. Sett, B.K., Sarkar, S., and Sarkar, B. Optimal bu_er inventory and inspection errors in an imperfect production system with preventive maintenance", The International Journal of Advanced Manufacturing Technology, 90(1{4), pp. 545{560 (2017). 27. La Fata, C.M. and Passannanti, G. A simulated annealing-based approach for the joint optimization of production/inventory and preventive maintenance policies", The International Journal of Advanced Manufacturing Technology, 91(9{12), pp. 3899{3909 (2017). 28. Lai, X., Chen, Z., and Bidanda, B. Optimal decision of an economic production quantity model for imperfect manufacturing under hybrid maintenance policy with shortages and partial backlogging", International Journal of Production Research, 57(19), pp. 1{25 (2019). DOI: 10.1080/00207543.2018.1562249