Abstract
This chapter considers the impact of preservation technology on an “economic production quantity” model in which the production process may not only shift from an “in-control” state to an “out-of-control” state but also may fail at any random point in time during production run time. Model is developed for multi-items with imperfect quality by considering the situation of random machine failure over infinite planning horizon. Demand rate is assumed to be multivariate. A reliable and flexible production inventory system is considered under learning and forgetting environment. We studied model in both crisp and fuzzy environment, and significant features of the model are illustrated by numerical experiments. So, numerical examples along with sensitivity analysis are given to show how the solution procedure works as well as the usages of research results.
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References
Agarwal A, Sangal I, Singh SR (2017) Optimal policy for non-instantaneous decaying inventory model with learning effect and partial shortages. Int J Comput Appl 161(10):13–18
Bag S, Chakraborty D, Roy AR (2009) A production inventory model with fuzzy random demand and with flexibility and reliability considerations. Comput Ind Eng 56:411–416
Chen TH (2017) Optimizing pricing, replenishment and rework decision for imperfect and deteriorating items in a manufacturing-retailer channel. Int J Prod Econ 183:539–550
Cheng TCE (1989) An economic production quantity model with flexibility and reliability considerations. Eur J Oper Res 39:174–179
Cheng TCE (1991) An economic order quantity model with demand-dependent unit production cost and imperfect production processes. IIE Trans 23(1):23–28
Chin HN, Chen HM (2005) An optimal algorithm for solving the dynamic lot-sizing model with learning and forgetting in setups and production. Int J Prod Econ 95(2):179–193
Chung KJ (1997) Bounds for production lot sizing with machine breakdowns. Comput Ind Eng 32(1):139–144
Das D, Roy A, Kar S (2011) A volume flexible economic production lot-sizing problem with imperfect quality and random machine failure in fuzzy-stochastic environment. Comput Math Appl 61(9):2388–2400
Dey O, Giri BC (2014) Optimal vendor investment for reducing defect rate in a vendor-buyer integrated system with imperfect production process. Int J Prod Econ 155:222–228
Glock CH, Jaber MY (2013) A multi-stage production-inventory model with learning and forgetting effects, rework and scrap. Comput Ind Eng 64(2):708–720
Groenevelt H, Pintelon L, Seidmann A (1992) Production lot sizing with machine breakdowns. Manag Sci 38:104–121
Hsu JT, Hsu LF (2013) An integrated vendor–buyer cooperative inventory model in an imperfect production process with shortage backordering. Int J Adv Manuf Technol 65(1–4):493–505
Hsu PH, Wee HM, Teng HM (2010) Preservation technology investment for deteriorating inventory. Int J Prod Econ 124(2):388–394
Iqbal MW, Sarkar B (2018) A model for imperfect production system with probabilistic rate of imperfect production for deteriorating products. DJ J Eng Appl Math 4(2):1–12
Jaber MY, Bonney M (2003) Lot sizing with learning forgetting in set-ups and in product quality. Int J Prod Econ 83:95–111
Jaber MY, Goyal SK, Imran M (2008) Economic production quantity model for items with imperfect quality subject to learning effects. Int J Prod Econ 115(1):143–150
Jawla Preeti, Singh SR (2016) A reverse logistic inventory model for imperfect production process with preservation technology investment under learning and inflationary environment. Uncertain Supply Chain Manag 4:107–122
Jawla Preeti, Singh SR (2016) Multi-item economic production quantity model for imperfect items with multiple production setups and rework under the effect of preservation technology and learning environment. Int J Ind Eng Comput 7:703–716
Khan M, Jaber MY, Wahab MIM (2010) Economic order quantity model for items with imperfect quality with learning in inspection. Int J Prod Econ 124(1):87–96
Konstantaras I, Skouri K, Jaber MY (2012) Inventory models for imperfect quality items with shortages and learning in inspection. Appl Math Model 36(11):5334–5343
Kumar N, Kumar S (2016) Effect of learning and salvage worth on an inventory model for deteriorating items with inventory-dependent demand rate and partial backlogging with capability constraints. Uncertain Supply Chain Manag 4(2):123–136
Mahapatra GS, Adak S, Mandal TK, Pal S (2017) Inventory model for deteriorating items with time and reliability dependent demand and partial backorder. Int J Oper Res 29(3):344–359
Pal S, Mahapatra GS, Samanta GP (2016) A three-layer supply chain EPQ model for price and stock-dependent stochastic demand with imperfect item under rework. J Uncertain Anal Appl 4(1):10
Paul SK, Azeem A, Sarker R, Essam D (2014) Development of a production inventory model with uncertainty and reliability considerations. Optim Eng 15(3):697–720
Rosenblatt MJ, Lee HL (1986) Economic production cycles with imperfect production processes. IIE Trans 18(1):48–55
Sarkar B, Sana SS, Chaudhuri K (2010) Optimal reliability, production lot size and safety stock in an imperfect production system. Int J Math Oper Res 2(4):467–490
Shah NH, Vaghela CR (2018) Imperfect production inventory model for time and effort dependent demand under inflation and maximum reliability. Int J Syst Sci Oper Logist 5(1):60–68
Singh SR, Urvashi (2010) A multi item inventory model with machine breakdown, flexible strategy and capacity constraint over fuzzy environment. Int J Oper Res Optim 1(1):85–94
Singh S, Jain S, Pareek S (2013) An imperfect quality items with learning and inflation under two limited storage capacity. Int J Ind Eng Comput 4(4):479–490
Singh SR, Prasher Leena (2014) A production inventory model with flexible manufacturing, random machine breakdown and stochastic repair time. Int J Ind Eng Comput 5:575–588
Towill DR (1982) How complex a learning curve model need we use? Radio Electron Eng 52(7):331–338
Tripathy PK, Pattnaik M (2009) Optimization in an inventory model with reliability consideration. Appl Math Sci 3(1):11–25
Tripathy PK, Pattnaik M (2011) Optimal inventory policy with reliability consideration and instantaneous receipt under imperfect production process. Int J Manag Sci Eng Manag 6(6):413–420
Tripathy P, Wee W, Majhi P (2003) An EOQ model with process reliability consideration. J Oper Res Soc 54:549–554
Wright TP (1936) Factors affecting the cost of airplanes. J Aeronaut Sci 3(4):122–128
Yadav D, Singh SR, Meenu (2015) EOQ model with partial backordering for imperfect items under the effect of inflation and learning with selling price dependent demand. Int J Comput Appl 111(17):25–31
Yadav D, Singh SR, Vandana S (2018) Integrated model with imperfect production process under the effect of learning. Malaya J Mat S(1):90–101
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Jawla, P., Singh, S.R. (2020). A Production Reliable Model for Imperfect Items with Random Machine Breakdown Under Learning and Forgetting. In: Shah, N., Mittal, M. (eds) Optimization and Inventory Management. Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-9698-4_6
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