Abstract
This paper is an extension of the work of Lin and Gong (2011) on Economic Production Quantity (EPQ) model on an imperfect production system over infinite planning horizon, where the production system is dictated by two unreliable key production subsystems (KPS). While any shortage on the inventory of product was not allowed in the model of Lin and Gong (2011), planned shortage backorders is considered in the model proposed in this paper. The mathematical model is developed in order to determine production run time (τ) and production time when backorder is replenished (T 1) that minimizes the expected total cost per unit time including setup, inventory carrying, shortage, and defective costs. Approaches to solve the model are also being proposed in this paper, altogether with some numerical examples.
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References
Ai TJ, Wigati SS, Gong DC (2012) An economic production quantity model on an imperfect production system over finite planning horizon. In: Proceedings of IIE Asian conference 2012, Singapore
Ben-Daya M, Hariga M (2000) Economic lot scheduling problem with imperfect production processes. J Oper Res Soc 51:875–881
Chung KJ, Hou KL (2003) An optimal production run time with imperfect production processes and allowable shortages. Comput Oper Res 30:483–490
Hsieh CC, Lee ZZ (2005) Joint determination of production run length and number of standbys in a deteriorating production process. Eur J Oper Res 162:359–371
Lee HL, Rosenblatt MJ (1987) Simultaneous determination of production cycle and inspection schedules in a production system. Manage Sci 33:1125–1136
Lee HL, Rosenblatt MJ (1989) A production and maintenance planning model with restoration cost dependent on detection delay. IIE Trans 21:368–375
Lee HL, Rosenblatt MJ (1988) Economic design and control of monitoring mechanisms in automated production systems. IIE Trans 20:201–209
Lee JS, Park KS (1991) Joint determination of production cycle and inspection intervals in a deteriorating production system. J Oper Res Soc 42:775–783
Lin GC, Gong DC (2011) On an Economic lot sizing model subject to two imperfect key production subsystems. In: Proceedings of IIE Asian conference 2011, Shanghai, China
Lin TM, Tseng ST, Liou MJ (1991) Optimal inspection schedule in the imperfect production system under general shift distribution. J Chin Inst Ind Eng 8:73–81
Rosenblatt MJ, Lee HL (1986) Economic production cycles with imperfect production processes. IIE Trans 18:48–55
Silver EA, Pyke DF, Peterson R (1998) Inventory management and production planning and scheduling, 3rd edn. Wiley, New York
Sulistyo ARL, Astanti RD, Dewa DMRT (2012) Rancangan Preventive Maintenance dengan Pendekatan TPM di PT Perkebunan Nusantara VII. Unpublished thesis at Universitas Atma Jaya Yogyakarta
Acknowledgments
This work is partially supported by Directorate General of Higher Education, Ministry of Education and Culture, Republic of Indonesia through Hibah Bersaing Research Grant and Universitas Atma Jaya Yogyakarta, Indonesia. The authors also gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation.
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Bawono, B., Ai, T.J., Astanti, R.D., Wibowo, T.I. (2013). An EPQ with Shortage Backorders Model on Imperfect Production System Subject to Two Key Production Systems. In: Lin, YK., Tsao, YC., Lin, SW. (eds) Proceedings of the Institute of Industrial Engineers Asian Conference 2013. Springer, Singapore. https://doi.org/10.1007/978-981-4451-98-7_131
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DOI: https://doi.org/10.1007/978-981-4451-98-7_131
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