Inventory and pricing decisions for an imperfect production system with quality inspection, rework, and carbon-emissions
DOI:
https://doi.org/10.2298/YJOR190410012KKeywords:
Imperfect-production, Rework, Price-sensitive Demand, Quality-inspection, Carbon-emissionsAbstract
The present paper considers the effect of imperfect quality items on a production system which further undergoes inspection and rework. The demand of the product is price reliant. Two situations to handle the imperfect items are analyzed: selling them at a reduced price and reworking them. The demand is assumed to meet with perfect products in either case. Further, the study incorporates the carbon-emissions borne during production of goods and their holding in the inventory system. The model aims at maximizing the profit function by jointly optimizing mark-up price and production quantity. To demonstrate model characteristics, numerical and sensitivity analysis are also presented.References
Aggarwal, S.P., and Jaggi, C.K. "Ordering policy for decaying inventory", International Journal of Systems Science, 20 (1989) 151-155.
Ben-Daya, M., and Hariga, M. "Economic lot scheduling problem with imperfect production processes", Journal of the Operational Research Society, 51 (2000) 875-881.
Buscher, U., Rudert, S., and Schwarz, C. "A note on: an optimal batch size for an imperfect production system with quality assurance and rework", International Journal of Production Research, 47 (2009) 7063-7067.
Chiu, S.W., Gong, D.C., and Wee, H.M. "Effects of random defective rate and imperfect rework process on economic production quantity model", Japan Journal of Industrial and Applied Mathematics, 21 (2004) 375.
Chiu, Y.P. "Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging", Engineering Optimization, 35 (2003) 427-437.
Chiu, Y.S.P., Chiu, S.W., and Chao, H.C. "Numerical method for determination of reworking or scraping the defective items in a finite production rate model", International Journal for Numerical Methods in Biomedical Engineering, 22 (2006) 377-386.
Chung, K.J., and Hou, K.L. "An optimal production run time with imperfect production processes and allowable shortages", Computers & Operations Research, 30 (2003) 483-490.
Cohen, M.A. "Joint pricing and ordering policy for exponentially decaying inventory with known demand", Naval Research Logistics Quarterly, 24 (1977) 257-268.
Drake, D.F., Kleindorfer, P.R., and Van Wassenhove, L.N. "Technology choice and capacity portfolios under emissions regulation", Production and Operations Management, 25 (2016) 1006-1025.
Gautam, P., and Khanna, A. "An imperfect production inventory model with setup cost reduction and carbon emission for an integrated supply chain", Uncertain Supply Chain Management, 6 (2018) 271-286.
Gautam, P., Kishore, A., Khanna, A., and Jaggi, C.K. "Strategic defect management for a sustainable green supply chain", Journal of Cleaner Production, 233 (2019) 226-241.
Giri, B.C., and Dohi, T. "Inspection scheduling for imperfect production processes under free repair warranty contract", European Journal of Operational Research, 183 (2007) 238-252.
Goyal, S.K., Gunasekaran, A., Martikainen, T., and Yli-Olli, P. "Integrating production and quality control policies: A survey", European Journal of Operational Research, 69 (1993) 1-13.
Gurnani, H., Drezner, Z., and Akella, R. "Capacity planning under different inspection strategies", European Journal of Operational Research, 89 (1996) 302-312.
Hayek, P.A., and Salameh, M.K. "Production lot sizing with the reworking of imperfect quality items produced", Production Planning & Control, 12 (2001) 584-590.
Hua, G.W., Cheng, T.C.E., and Wang, S. "Managing carbon footprints in inventory management", International Journal of Production Economics, 132 (2011) 178-185.
Huang, C.K. "An integrated vendor-buyer cooperative inventory model for items with imperfect quality", Production Planning & Control, 13 (2002) 355-361.
Jaggi, C.K., Gautam, P., and Khanna, A. "Credit policies for deteriorating imperfect quality items with exponentially increasing demand and partial backlogging", in: Handbook of Research on Promoting Business Process Improvement Through Inventory Control Techniques, IGI Global, Pennsylvania, USA, 2018, 90-106.
Jaggi, C.K., Gautam, P., and Khanna, A. "Inventory decisions for imperfect quality deteriorating items with exponential declining demand under trade credit and partially backlogged shortages", Quality, IT and Business Operations, (2018) 213-229.
Khanna, A., Gautam, P., and Jaggi, C.K. "Inventory modeling for deteriorating imperfect quality items with selling price dependent demand and shortage backordering under credit financing", International Journal of Mathematical Engineering and Management Sciences, 2 (2017) 110-124.
Khanna, A., Kishore, A., and Jaggi, C. "Strategic production modeling for defective items with imperfect inspection process, rework, and sales return under two-level trade credit", International Journal of Industrial Engineering Computations, 8 (1) (2017) 85-118.
Khanna, A., Kishore, A., and Jaggi, C.K. "Impact of inflation and trade credit policy in an inventory model for imperfect quality items with allowable shortages", Control & Cybernetics, 45 (1) (2016) 37-82.
Khanna, A., Kishore, A., Sarkar, B., and Jaggi, C. "Supply chain with customer-based two-level credit policies under an imperfect quality environment", Mathematics, 6 (12) (2018) 299.
Khedlekar, U.K., and Tiwari, R.K. "Imperfect production model for sensitive demand with shortage", Reliability: Theory & Applications, 13 (2018) 451.
Lin, Y.J., and Lin, H.J. "Integrated supply chain model with price-dependent demand and product recovery", Journal of Applied Science and Engineering, 18 (2015) 213-222.
Ma, W.N., Gong, D.C., and Lin, G.C. "An optimal common production cycle time for imperfect production processes with scrap", Mathematical and Computer Modelling, 52 (2010) 724-737.
Moussawi-Haidar, L., Salameh, M., and Nasr, W. "Production lot sizing with quality screening and rework", Applied Mathematical Modelling, 40 (2016) 3242-3256.
Mukhopadhyay, S., Mukherjee, R.N., and Chaudhuri, K.S. "Joint pricing and ordering policy for a deteriorating inventory", Computers & Industrial Engineering, 47 (2004) 339-349.
Ojha, D., Sarker, B.R., and Biswas, P. "An optimal batch size for an imperfect production system with quality assurance and rework", International Journal of Production Research, 45 (2007) 3191-3214.
Porteus, E.L. "Optimal lot sizing, process quality improvement and setup cost reduction", Operations Research, 34 (1986) 137-144.
Rosenblatt, M.J., and Lee, H.L. "Economic production cycles with imperfect production processes", IIE Transactions, 18 (1986) 48-55.
Ross, S.M. "Stochastic Processes", 2nd Edition, Wiley, New York, NY. (1996).
Salameh, M.K., and Jaber, M.Y. "Economic production quantity model for items with imperfect quality", International Journal of Production Economics, 64 (2000) 59-64.
Sana, S.S., Goyal, S.K., and Chaudhuri, K. "An imperfect production process in a volume flexible inventory model", International Journal of Production Economics, 105 (2007) 548-559.
Sana, S.S. "A production inventory model in an imperfect production process", European Journal of Operational Research, 200 (2010) 451-464.
Sana, S.S. "An economic production lot size model in an imperfect production system", European Journal of Operational Research, 201 (2010) 158-170.
Sana, S.S., Goyal, S.K., and Chaudhuri, K. "On a volume flexible inventory model for items with an imperfect production system", International Journal of Operational Research, 2 (2006) 64-80.
Sarkar, B., Ganguly, B., Sarkar, M., and Pareek, S. "Effect of variable transportation and carbon emission in a three-echelon supply chain model", Transportation Research Part E: Logistics and Transportation Review, 91 (2016) 112-128.
Sarkar, B., Sana, S.S., and Chaudhuri, K. "An economic production quantity model with stochastic demand in an imperfect production system", International Journal of Services and Operations Management, 9 (2011) 259-283.
Sarkar, B., Sana, S.S., and Chaudhuri, K. "Optimal reliability, production lot size and safety stock in an imperfect production system", International Journal of Mathematics in Operational Research, 2 (2010) 467-490.
Sarkar, B., Saren, S., Sarkar, M., and Seo, Y.W. "A Stackelberg game approach in an integrated inventory model with carbon-emission and setup cost reduction", Sustainability, 8 (2016) 1244.
Shi, Y., Chen, L., Liu, Z., Yan, J., and Hu, J. "Analysis on the carbon emission reduction potential in the cement industry in terms of technology diffusion and structural adjustment: a case study of Chongqing", Energy Procedia, 16 (2012) 121-130.
Tang, C.S. "Designing an optimal production system with inspection", European Journal of Operational Research, 52 (1991) 45-54.
Tang, S., Wang, W., Yan, H., and Hao, G. "Low carbon logistics: Reducing shipment frequency to cut carbon emissions", International Journal of Production Economics, 164 (2015) 339-350.
Tiwari, S., Daryanto, Y., and Wee, H.M. "Sustainable inventory management with deteriorating and imperfect quality items considering carbon emission", Journal of Cleaner Production, 192 (2018) 281-292.
Wee, H.M. "A replenishment policy for items with a price-dependent demand and a varying rate of deterioration", Production Planning & Control, 8 (1997) 494-499.
Wee, H.M. "Deteriorating inventory model with quantity discount, pricing and partial backordering", International Journal of Production Economics, 59 (1999) 511-518.
Xu, J., Chen, Y., and Bai, Q. "A two-echelon sustainable supply chain coordination under cap-and-trade regulation", Journal of Cleaner Production, 135 (2016) 42-56.
Zhang, X., Liu, P., Li, Z., and Yu, H. "Modeling the effects of low-carbon emission constraints on mode and route choices in transportation networks", Procedia-Social and Behavioral Sciences, 96 (2013) 329-338.
Zhu, L., Zhou, J., Yu, Y., and Zhu, J. "Emission-dependent production for environment-aware demand in cap-and-trade system", Journal of Advanced Manufacturing Systems, 16 (2017) 67-80.
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