Nội dung được dịch bởi AI, chỉ mang tính chất tham khảo
Thời gian chạy sản xuất tối ưu cho hệ thống tồn kho sản xuất không hoàn hảo với việc chỉnh sửa, sự cố ngẫu nhiên và chi phí kiểm tra
Tóm tắt
Trong các hệ thống sản xuất thực tế, sự xuất hiện của các sản phẩm bị lỗi trong một lô hàng là điều không thể tránh khỏi. Trong khi các sản phẩm này có thể chỉ bị loại bỏ trong ngành thực phẩm, thì trong các ngành công nghệ cao, nơi sản phẩm cuối cùng có giá thành rất cao, chúng có thể được chỉnh sửa với một chi phí nhất định. Một giả định chung trong tài liệu là thời gian kiểm tra cần thiết để xác định các mặt hàng bị lỗi được hoàn thành khi quá trình sản xuất kết thúc. Tuy nhiên, giả định về việc kiểm tra liên tục trong suốt quá trình sản xuất làm phức tạp việc phân tích, khiến nó trở nên bất khả thi cho hầu hết các hệ thống sản xuất, đặc biệt là khi tỷ lệ sản xuất cao và tỷ lệ các mặt hàng bị lỗi thấp, làm cho việc kiểm tra liên tục trong quá trình sản xuất trở nên rất tốn kém. Ngoài ra, các yếu tố như sự suy giảm quy trình hoặc các yếu tố không thể kiểm soát khác trong quá trình sản xuất có thể làm gián đoạn quá trình sản xuất của lô hàng. Để giải quyết những vấn đề thực tiễn này, bài báo tích hợp thời gian kiểm tra và sự cố của các thiết bị sản xuất vào một mô hình tồn kho sản xuất không hoàn hảo với việc chỉnh sửa, trong đó thời gian chạy sản xuất là biến quyết định và quá trình kiểm tra tiếp tục ngay cả sau khi kết thúc một đợt sản xuất; bài báo chứng minh những ảnh hưởng đáng kể đến các giải pháp tối ưu, với việc không cho phép xảy ra thiếu hụt. Dưới những giả định này, một mô hình toán học được rút ra, và tính lõm của hàm lợi nhuận tổng mong đợi được chứng minh. Chính sách tối ưu được thu nhận bằng cách áp dụng phương pháp phân tích. Các trường hợp đặc biệt của mô hình được nghiên cứu và một ví dụ số với phân tích nhạy cảm được cung cấp để rút ra các nhận thức. Hơn nữa, ví dụ số này được sử dụng để so sánh các trường hợp chung và đặc biệt.
Từ khóa
Tài liệu tham khảo
Abboud NE (1997) A simple approximation of the EMQ model with Poisson machine failures. Prod Plan Control 8(4):385–397
Abboud NE (2001) A discrete-time Markov production–inventory model with machine breakdowns. Comput Ind Eng 39:95–107
Berg M, Posner MJM, Zhao H (1994) Production–inventory systems with unreliable machines. Oper Res 421:111–118
Bielecki T, Kumar PR (1988) Optimality of zero-inventory policies for unreliable manufacturing systems. Oper Res 36(4):532–541
Boone T, Ganeshan R, Guo Y, Ord JK (2000) The impact of imperfect processes on production run times. Decis Sci 31(4):773–787
Cárdenas-Barrón LE (2009) Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Comput Ind Eng 57(3):1105–1113
Chakraborty T, Giri BC (2014) Lot sizing in a deteriorating production system under inspections, imperfect maintenance and reworks. Oper Res Int J 14(1):29–50
Chakraborty T, Giri BC, Chaudhari KS (2008) Production lot sizing with process deterioration and machine breakdown. Eur J Oper Res 185(2):606–618
Chan WM, Ibrahim RN, Lochert PB (2003) A new EPQ model: integrating lower pricing, rework and reject situations. Prod Plan Control 14(7):588–595
Chiu YP (2003) Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging. Eng Optim 35(4):427–437
Chiu SW, Wang SL, Chiu YSP (2007) Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns. Eur J Oper Res 180:664–676
Chiu YSP, Lin HD, Chang HH (2011) Mathematical modeling for solving manufacturing run time problem with defective rate and random machine breakdown. Comput Ind Eng 60(4):576–584
Chiu SW, Chou CL, Wu WK (2013) Optimizing replenishment policy in an EPQ-based inventory model with nonconforming items and breakdown. Econ Model 35:330–337
Chiu SW, Lin HD, Song MS, Chen HM, Chiu YSP (2015) An extended EPQ-based problem with a discontinuous delivery policy, scrap rate, and random breakdown. Sci World J. https://doi.org/10.1155/2015/621978
Chung KJ (1997) Bounds for production lot sizing with machine breakdowns. Comput Ind Eng 32(1):139–144
Chung KJ (2003) Approximations to production lot sizing with machine breakdowns. Comput Oper Res 30(10):1499–1507
Chung KJ, Hou KL (2003) An optimal production run time with imperfect production processes and allowable shortages. Comput Oper Res 30(4):483–490
Flapper SDP, Teunter RH (2004) Logistic planning of rework with deteriorating work-in-process. Int J Prod Econ 88:51–59
Flapper SDP, Fransoo JC, Broekmeulen RACM, Inderfurth K (2002) Planning and control of rework in the process industries: a review. Prod Plan Control 13(1):26–34
Giri BC, Dohi T (2006) Optimal inspection schedule in an imperfect EMQ model with free repair warranty policy. J Oper Res Soc Jpn 49(3):222–237
Glock CH (2013) The machine breakdown paradox: how random shifts in the production rate may increase company profits. Comput Ind Eng 66:1171–1176
Glock CH, Jaber MY (2013a) An economic production quantity (EPQ) model for a customer-dominated supply chain with defective items, reworking and scrap. Int J Serv Oper Manag 14:236–251
Glock CH, Jaber MY (2013b) A multi-stage production-inventory model with learning and forgetting effects, rework and scrap. Comput Ind Eng 64:708–720
Groenevelt H, Pintelon L, Seidmann A (1992) Production lot sizing with machine breakdowns. Manag Sci 38(1):104–123
Gupta T, Chakraborty S (1984) Looping in a multistage production system. Int J Prod Res 22(2):299–311
Hayek PA, Salameh MK (2001) Production lot sizing with the reworking of imperfect quality items produced. Prod Plan Control 12(6):584–590
Hsu JT, Hsu LF (2013) Two EPQ models with imperfect production process, inspection errors, planned backorders, and sales returns. Comput Ind Eng 64(1):389–402
Hsu LF, Hsu JT (2015) Economic production quantity (EPQ) models under an imperfect production process with shortages backordered. Int J Syst Sci 47(4):852–867
Huang H, He Y, Li D (2017) EPQ for an unreliable production system with endogenous reliability and product deterioration. Int Trans Oper Res 24:839–866
Inderfurth K, Janiak A, Kovalyov MY, Werner F (2006) Batching work and rework processes with limited deterioration of reworkables. Comput Oper Res 33:1595–1605
Jamal AMM, Sarker BR, Mondal S (2004) Optimal manufacturing batch size with rework process at a single-stage production system. Comput Ind Eng 47(1):77–89
Khan M, Jaber MY, Guiffrida AL, Zolfaghari S (2011) A review of the extensions of a modified EOQ model for imperfect quality items. Int J Prod Econ 132:1–12
Kontantaras I, Goyal SK, Papachristos S (2007) Economic ordering policy for an item with imperfect quality subject to the in-house inspection. Int J Syst Sci 38(6):473–482
Lee HL, Rosenblatt MJ (1987) Simultaneous determination of production cycle and inspection schedules in a production system. Manag Sci 33(9):1125–1136
Li N, Chan FTS, Chung SH, Tai AH (2015) An EPQ model for deteriorating production system and items with rework. Math Probl Eng. https://doi.org/10.1155/2015/957970
Liao GL (2016) Optimal economic production quantity policy for a parallel system with repair, rework, free-repair warranty and maintenance. Int J Prod Res 54(20):6265–6280
Lin GC, Gong DC (2006) On a production-inventory system of deteriorating items subject to random machine breakdowns with a fixed repair time. Math Comput Model 43(7–8):920–932
Lin GC, Kroll DE (2006) Economic lot sizing for an imperfect production system subject to random breakdowns. Eng Optim 38(1):73–92
Lin GC, Lin HD (2007) Determining a production run time for an imperfect production–inventory system with scrap. J Sci Ind Res 66:724–735
Liu B, Cao J (1999) Analysis of a production–inventory system with machine breakdowns and shutdowns. Comput Oper Res 20(1):73–91
Liu JJ, Yang P (1996) Optimal lot-sizing in an imperfect production system with homogeneous reworkable jobs. Eur J Oper Res 91:517–527
Liu N, Kim Y, Hwang H (2009) An optimal operating policy for the production system with rework. Comput Ind Eng 56:874–887
Ma WN, Gong DC, Lin GC (2010) An optimal common production cycle time for imperfect production processes with scrap. Math Comput Model 52:724–737
Maddah B, Salameh MK, Karame GM (2009) Lot sizing with random yield and different qualities. Appl Math Model 33(4):1997–2009
Moinzadeh K, Aggarwal P (1997) Analysis of a production/inventory system subject to random disruptions. Manag Sci 43(11):1577–1588
Mokhtari H (2018) A joint international production and external supplier order lot size optimization under defective manufacturing and rework. Int J Adv Manuf Technol 95(1–4):1039–1058
Moussawi-Haidar L, Salameh M, Nasr W (2016) Production lot sizing with quality screening and rework. Appl Math Model 40:3242–3256
Nobil AH, Sedigh AHA, Tiwari S, Wee HM (2018) An imperfect multi-item single machine production system with shortage, rework, and scrapped considering inspection, dissimilar deficiency levels, and non-zero setup times. Scientia Iranica. https://doi.org/10.24200/sci.2018.4984.1031
Öztürk H (2017) A note on “Production lot sizing with quality screening and rework”. Appl Math Model 43:659–669
Porteus EL (1986) Optimal lot sizing, process quality improvement and setup cost reduction. Oper Res 34:137–144
Rezaei J (2016) Economic order quantity and sampling inspection plans for imperfect items. Comput Ind Eng 96:1–7
Rosenblatt MJ, Lee HL (1986) Economic production cycles with imperfect production processes. IIE Trans 18(1):48–55
Salameh MK, Jaber MY (2000) Economic production quantity model for items with imperfect quality. Int J Prod Econ 64:59–64
Sarkar B, Cárdenas-Barrón LE, Sarkar M, Singgih ML (2014) An economic production quantity model with random defective rate, rework process and backorders for a single stage production system. J Manuf Syst 33(3):423–435
Sharafali M (1984) On a continuous review production–inventory problem. Oper Res Lett 3(4):199–204
Shih W (1980) Optimal inventory policies when stockouts result from defective products. Int J Prod Res 18(6):677–686
Suntag C (1993) Inspection and inspection quality management. ASQC, Milwaukee
Tai AH (2013) Economic production quantity models for deteriorating/imperfect products and service with rework. Comput Ind Eng 66:879–888
Taleizadeh AA, Cárdenas-Barrón LE, Mohammadi B (2014) A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing. Int J Prod Econ 150:9–27
Taleizadeh AA, Sari-Khanbaglo MP, Cárdenas-Barrón LE (2017) Outsourcing rework of imperfect items in the economic production quantity (EPQ) inventory model with backordered demand. IEEE Trans Syst Man Cybern Syst. https://doi.org/10.1109/tsmc.2017.2778943
Ting CK, Chiu YSP, Chan CCH (2011) Optimal lot sizing with scrap and random breakdown occurring in backorder replenishing period. Math Comput Appl 16(2):329–339
Tsao YC, Chen TH, Huang SM (2011) A production policy considering reworking of imperfect items and trade credit. Flex Serv Manuf J 23:48–63
Wazwaz AM (2011) Linear and nonlinear integral equations. Springer, Beijing
Wee HM, Widyadana GA (2013) A production model for deteriorating items with stochastic preventive maintenance time and rework process with FIFO rule. Omega 41(6):941–954
Wee HM, Wang WT, Cárdenas-Barrón LE (2013) An alternative analysis and solution procedure for the EPQ model with rework process at a single-stage manufacturing system with planned backorders. Comput Ind Eng 64(2):748–755
Wee HM, Wang WT, Kuo TC, Cheng YL, Huang YD (2014) An economic production quantity model with non-synchronized screening and rework. Appl Math Comput 233:127–138
Widyadana GA, Wee HM (2011) Optimal deteriorating items production inventory models with random machine breakdown and stochastic repair time. Appl Math Model 35:3495–3508
Widyadana GA, Wee HM (2012) An economic production quantity model for deteriorating items with preventive maintenance policy and random machine breakdown. Int J Syst Sci 43(10):1870–1882
Yoo SH, Kim DS, Park MS (2009) Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return. Int J Prod Econ 121(1):255–265
Zhang X, Gerchak Y (1990) Joint lot sizing and inspection policy in an EOQ model with random yield. IIE Trans 22(1):41–47