How to cite this paper
Gautam, P & Khanna, A. (2018). An imperfect production inventory model with setup cost reduction and carbon emission for an integrated supply chain.Uncertain Supply Chain Management, 6(3), 271-286.
Refrences
Aderohunmu, R., Mobolurin, A., & Bryson, N. (1995). Joint vendor-buyer policy in JIT manufacturing. Journal of the Operational Research Society, 375-385.
Annadurai, K., & Uthayakumar, R. (2010). Controlling setup cost in (Q, r, L) inventory model with defective items. Applied Mathematical Modelling, 34(6), 1418-1427.
Banerjee, A. (1986). A joint economic lot size model for purchaser and vendor. Decision sciences, 17(3), 292-311.
Ben-Daya, M., & Hariga, M. (2000). Economic lot scheduling problem with imperfect production processes. Journal of the Operational Research Society, 51(7), 875-881.
Ben-Daya, M., & Rahim, A. (2003). Optimal lot-sizing, quality improvement and inspection errors for multistage production systems. International Journal of Production Research, 41(1), 65-79.
Cárdenas-Barrón, L. E. (2000). Observation on:"Economic production quantity model for items with imperfect quality”[Int. J. Production Economics 64 (2000) 59–64]. International Journal of Production Economics, 67(2), 201.
Cárdenas-Barrón, L. E. (2009). Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Computers & Industrial Engineering, 57(3), 1105-1113.
Chang, H. C., & Ho, C. H. (2010). Exact closed-form solutions for “optimal inventory model for items with imperfect quality and shortage backordering”. Omega, 38(3), 233-237.
Chen, C. K., & Lo, C. C. (2006). Optimal production run length for products sold with warranty in an imperfect production system with allowable shortages. Mathematical and Computer Modelling, 44(3), 319-331.
Cheng, C., Qi, M., Wang, X., & Zhang, Y. (2016). Multi-period inventory routing problem under carbon emission regulations. International Journal of Production Economics, 182, 263-275.
Chung, K. J. (2008). An improvement of an integrated single-vendor single-buyer inventory model with shortage. Production Planning and Control, 19(3), 275-277.
Chung, K. J., & Hou, K. L. (2003). An optimal production run time with imperfect production processes and allowable shortages. Computers & Operations Research, 30(4), 483-490.
Denizel, M., Erengüç, S., & Benson, H. P. (1997). Dynamic lot-sizing with setup cost reduction. European Journal of Operational Research, 100(3), 537-549.
Diaby, M. (2000). Integrated batch size and setup reduction decisions in multi-product, dynamic manufacturing environments. International Journal of Production Economics, 67(3), 219-233.
Eroglu, A., & Ozdemir, G. (2007). An economic order quantity model with defective items and shortages. International journal of production economics, 106(2), 544-549.
Freimer, M., Thomas, D., & Tyworth, J. (2006). The value of setup cost reduction and process improvement for the economic production quantity model with defects. European Journal of Operational Research, 173(1), 241-251.
Goyal, S. K. (1977). An integrated inventory model for a single supplier-single customer problem. The International Journal of Production Research, 15(1), 107-111.
Goyal, S. K. (1988). “A JOINT ECONOMIC‐LOT‐SIZE MODEL FOR PURCHASER AND VENDOR”: A COMMENT. Decision sciences, 19(1), 236-241.
Goyal, S. K., & Gupta, Y. P. (1989). Integrated inventory models: the buyer-vendor coordination. European journal of operational research, 41(3), 261-269.
Goyal, S. K., & Nebebe, F. (2000). Determination of economic production–shipment policy for a single-vendor–single-buyer system. European Journal of Operational Research, 121(1), 175-178.
Goyal, S. K., & Szendrovits, A. Z. (1986). A constant lot size model with equal and unequal sized batch shipments between production stages. Engineering Costs and Production Economics, 10(1), 203-210.
Goyal, S. K., Huang, C. K., & Chen, K. C. (2003). A simple integrated production policy of an imperfect item for vendor and buyer. Production Planning & Control, 14(7), 596-602.
Ha, D., & Kim, S. L. (1997). Implementation of JIT purchasing: an integrated approach. Production Planning & Control, 8(2), 152-157.
Hammami, R., Nouira, I., & Frein, Y. (2015). Carbon emissions in a multi-echelon production-inventory model with lead time constraints. International Journal of Production Economics, 164, 292-307.
Hill, R. M. (1997). The single-vendor single-buyer integrated production-inventory model with a generalised policy. European journal of operational research, 97(3), 493-499.
Hill, R. M. (1999). The optimal production and shipment policy for the single-vendor singlebuyer integrated production-inventory problem. International Journal of Production Research, 37(11), 2463-2475.
Hoque, M. A., & Goyal, S. K. (2000). An optimal policy for a single-vendor single-buyer integrated production–inventory system with capacity constraint of the transport equipment. International Journal of Production Economics, 65(3), 305-315.
Hsieh, C. C., & Lee, Z. Z. (2005). Joint determination of production run length and number of standbys in a deteriorating production process. European Journal of Operational Research, 162(2), 359-371.
Hsu, J., & Hsu, L. (2012). An integrated single-vendor single-buyer production-inventory model for items with imperfect quality and inspection errors. International Journal of Industrial Engineering Computations, 3(5), 703-720.
Hsu, J. T., & Hsu, L. F. (2013). An integrated vendor–buyer cooperative inventory model in an imperfect production process with shortage backordering. The International Journal of Advanced Manufacturing Technology, 1-13.
Huang, C. K. (2002). An integrated vendor-buyer cooperative inventory model for items with imperfect quality. Production Planning & Control, 13(4), 355-361.
Huang, C. K. (2004). An optimal policy for a single-vendor single-buyer integrated production–inventory problem with process unreliability consideration. International Journal of Production Economics, 91(1), 91-98.
Huang, C. K., Cheng, T. L., Kao, T. C., & Goyal, S. K. (2011). An integrated inventory model involving manufacturing setup cost reduction in compound Poisson process. International Journal of Production Research, 49(4), 1219-1228.
Khanna, A., Gautam, P., & Jaggi, C. K. (2016, March). Coordinating vendor-buyer decisions for imperfect quality items considering trade credit and fully backlogged shortages. In AIP Conference Proceedings (Vol. 1715, No. 1, p. 020065). AIP Publishing.
Khanna, A., Mittal, M., Gautam, P., & Jaggi, C. (2016). Credit financing for deteriorating imperfect quality items with allowable shortages. Decision Science Letters, 5(1), 45-60.
Kim, C. H., & Hong, Y. (1999). An optimal production run length in deteriorating production processes. International Journal of Production Economics, 58(2), 183-189.
Lee, H. L., & Rosenblatt, M. J. (1987). Simultaneous determination of production cycle and inspection schedules in a production system. Management science, 33(9), 1125-1136.
Lu, L. (1995). A one-vendor multi-buyer integrated inventory model. European Journal of Operational Research, 81(2), 312-323.
Nye, T. J., Jewkes, E. M., & Dilts, D. M. (2001). Optimal investment in setup reduction in manufacturing systems with WIP inventories. European Journal of Operational Research, 135(1), 128-141.
Porteus, E. L. (1986). Optimal lot sizing, process quality improvement and setup cost reduction. Operations research, 34(1), 137-144.
Rosenblatt, M. J., & Lee, H. L. (1986). Economic production cycles with imperfect production processes. IIE transactions, 18(1), 48-55.
Salameh, M. K., & Jaber, M. Y. (2000). Economic production quantity model for items with imperfect quality. International journal of production economics, 64(1), 59-64.
Sana, S. S. (2011). A production-inventory model of imperfect quality products in a three-layer supply chain. Decision Support Systems, 50(2), 539-547.
Sarkar, B., & Majumder, A. (2013). Integrated vendor–buyer supply chain model with vendor’s setup cost reduction. Applied Mathematics and Computation, 224, 362-371.
Sarkar, B., & Moon, I. (2014). Improved quality, setup cost reduction, and variable backorder costs in an imperfect production process. International journal of production economics, 155, 204-213.
Sarkar, B., Chaudhuri, K., & Moon, I. (2015). Manufacturing setup cost reduction and quality improvement for the distribution free continuous-review inventory model with a service level constraint. Journal of Manufacturing Systems, 34, 74-82.
Sarkar, B., Ganguly, B., Sarkar, M., & Pareek, S. (2016). Effect of variable transportation and carbon emission in a three-echelon supply chain model. Transportation Research Part E: Logistics and Transportation Review, 91, 112-128.
Sarkar, B., Saren, S., Sarkar, M., & Seo, Y. W. (2016). A Stackelberg Game Approach in an Integrated Inventory Model with Carbon-Emission and Setup Cost Reduction. Sustainability, 8(12), 1244.
Shah, N., & Shah, D. (2012). Vendor-buyer ordering policy when demand is trapezoidal. International Journal of Industrial Engineering Computations, 3(5), 721-730.
Shi, X., & Meier, H. (2012). Carbon emission assessment to support planning and operation of low-carbon production systems. Procedia CIRP, 3, 329-334.
Shi, Y., Chen, L., Liu, Z., Yan, J., & Hu, J. (2012). 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, 121-130.
Tang, J., Ji, S., & Jiang, L. (2016). The design of a sustainable location-routing-inventory model considering consumer environmental behavior. Sustainability, 8(3), 211.
Tang, S., Wang, W., Yan, H., & Hao, G. (2015). Low carbon logistics: Reducing shipment frequency to cut carbon emissions. International Journal of Production Economics, 164, 339-350.
Viswanathan, S. (1998). Optimal strategy for the integrated vendor-buyer inventory model. European Journal of Operational Research, 105(1), 38-42.
Wee, H. M., Yu, J., & Chen, M. C. (2007). Optimal inventory model for items with imperfect quality and shortage backordering. Omega, 35(1), 7-11.
Wu, K. S., & Ouyang, L. Y. (2003). An integrated single-vendor single-buyer inventory system with shortage derived algebraically. Production Planning & Control, 14(6), 555-561.
Yang, P. C., & Wee, H. M. (2000). Economic ordering policy of deteriorated item for vendor and buyer: an integrated approach. Production Planning & Control, 11(5), 474-480.
Yeh, R. H., Ho, W. T., & Tseng, S. T. (2000). Optimal production run length for products sold with warranty. European Journal of Operational Research, 120(3), 575-582.
Zhang, X., Liu, P., Li, Z., & Yu, H. (2013). Modeling the effects of low-carbon emission constraints on mode and route choices in transportation networks. Procedia-Social and Behavioral Sciences, 96, 329-338.
Annadurai, K., & Uthayakumar, R. (2010). Controlling setup cost in (Q, r, L) inventory model with defective items. Applied Mathematical Modelling, 34(6), 1418-1427.
Banerjee, A. (1986). A joint economic lot size model for purchaser and vendor. Decision sciences, 17(3), 292-311.
Ben-Daya, M., & Hariga, M. (2000). Economic lot scheduling problem with imperfect production processes. Journal of the Operational Research Society, 51(7), 875-881.
Ben-Daya, M., & Rahim, A. (2003). Optimal lot-sizing, quality improvement and inspection errors for multistage production systems. International Journal of Production Research, 41(1), 65-79.
Cárdenas-Barrón, L. E. (2000). Observation on:"Economic production quantity model for items with imperfect quality”[Int. J. Production Economics 64 (2000) 59–64]. International Journal of Production Economics, 67(2), 201.
Cárdenas-Barrón, L. E. (2009). Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Computers & Industrial Engineering, 57(3), 1105-1113.
Chang, H. C., & Ho, C. H. (2010). Exact closed-form solutions for “optimal inventory model for items with imperfect quality and shortage backordering”. Omega, 38(3), 233-237.
Chen, C. K., & Lo, C. C. (2006). Optimal production run length for products sold with warranty in an imperfect production system with allowable shortages. Mathematical and Computer Modelling, 44(3), 319-331.
Cheng, C., Qi, M., Wang, X., & Zhang, Y. (2016). Multi-period inventory routing problem under carbon emission regulations. International Journal of Production Economics, 182, 263-275.
Chung, K. J. (2008). An improvement of an integrated single-vendor single-buyer inventory model with shortage. Production Planning and Control, 19(3), 275-277.
Chung, K. J., & Hou, K. L. (2003). An optimal production run time with imperfect production processes and allowable shortages. Computers & Operations Research, 30(4), 483-490.
Denizel, M., Erengüç, S., & Benson, H. P. (1997). Dynamic lot-sizing with setup cost reduction. European Journal of Operational Research, 100(3), 537-549.
Diaby, M. (2000). Integrated batch size and setup reduction decisions in multi-product, dynamic manufacturing environments. International Journal of Production Economics, 67(3), 219-233.
Eroglu, A., & Ozdemir, G. (2007). An economic order quantity model with defective items and shortages. International journal of production economics, 106(2), 544-549.
Freimer, M., Thomas, D., & Tyworth, J. (2006). The value of setup cost reduction and process improvement for the economic production quantity model with defects. European Journal of Operational Research, 173(1), 241-251.
Goyal, S. K. (1977). An integrated inventory model for a single supplier-single customer problem. The International Journal of Production Research, 15(1), 107-111.
Goyal, S. K. (1988). “A JOINT ECONOMIC‐LOT‐SIZE MODEL FOR PURCHASER AND VENDOR”: A COMMENT. Decision sciences, 19(1), 236-241.
Goyal, S. K., & Gupta, Y. P. (1989). Integrated inventory models: the buyer-vendor coordination. European journal of operational research, 41(3), 261-269.
Goyal, S. K., & Nebebe, F. (2000). Determination of economic production–shipment policy for a single-vendor–single-buyer system. European Journal of Operational Research, 121(1), 175-178.
Goyal, S. K., & Szendrovits, A. Z. (1986). A constant lot size model with equal and unequal sized batch shipments between production stages. Engineering Costs and Production Economics, 10(1), 203-210.
Goyal, S. K., Huang, C. K., & Chen, K. C. (2003). A simple integrated production policy of an imperfect item for vendor and buyer. Production Planning & Control, 14(7), 596-602.
Ha, D., & Kim, S. L. (1997). Implementation of JIT purchasing: an integrated approach. Production Planning & Control, 8(2), 152-157.
Hammami, R., Nouira, I., & Frein, Y. (2015). Carbon emissions in a multi-echelon production-inventory model with lead time constraints. International Journal of Production Economics, 164, 292-307.
Hill, R. M. (1997). The single-vendor single-buyer integrated production-inventory model with a generalised policy. European journal of operational research, 97(3), 493-499.
Hill, R. M. (1999). The optimal production and shipment policy for the single-vendor singlebuyer integrated production-inventory problem. International Journal of Production Research, 37(11), 2463-2475.
Hoque, M. A., & Goyal, S. K. (2000). An optimal policy for a single-vendor single-buyer integrated production–inventory system with capacity constraint of the transport equipment. International Journal of Production Economics, 65(3), 305-315.
Hsieh, C. C., & Lee, Z. Z. (2005). Joint determination of production run length and number of standbys in a deteriorating production process. European Journal of Operational Research, 162(2), 359-371.
Hsu, J., & Hsu, L. (2012). An integrated single-vendor single-buyer production-inventory model for items with imperfect quality and inspection errors. International Journal of Industrial Engineering Computations, 3(5), 703-720.
Hsu, J. T., & Hsu, L. F. (2013). An integrated vendor–buyer cooperative inventory model in an imperfect production process with shortage backordering. The International Journal of Advanced Manufacturing Technology, 1-13.
Huang, C. K. (2002). An integrated vendor-buyer cooperative inventory model for items with imperfect quality. Production Planning & Control, 13(4), 355-361.
Huang, C. K. (2004). An optimal policy for a single-vendor single-buyer integrated production–inventory problem with process unreliability consideration. International Journal of Production Economics, 91(1), 91-98.
Huang, C. K., Cheng, T. L., Kao, T. C., & Goyal, S. K. (2011). An integrated inventory model involving manufacturing setup cost reduction in compound Poisson process. International Journal of Production Research, 49(4), 1219-1228.
Khanna, A., Gautam, P., & Jaggi, C. K. (2016, March). Coordinating vendor-buyer decisions for imperfect quality items considering trade credit and fully backlogged shortages. In AIP Conference Proceedings (Vol. 1715, No. 1, p. 020065). AIP Publishing.
Khanna, A., Mittal, M., Gautam, P., & Jaggi, C. (2016). Credit financing for deteriorating imperfect quality items with allowable shortages. Decision Science Letters, 5(1), 45-60.
Kim, C. H., & Hong, Y. (1999). An optimal production run length in deteriorating production processes. International Journal of Production Economics, 58(2), 183-189.
Lee, H. L., & Rosenblatt, M. J. (1987). Simultaneous determination of production cycle and inspection schedules in a production system. Management science, 33(9), 1125-1136.
Lu, L. (1995). A one-vendor multi-buyer integrated inventory model. European Journal of Operational Research, 81(2), 312-323.
Nye, T. J., Jewkes, E. M., & Dilts, D. M. (2001). Optimal investment in setup reduction in manufacturing systems with WIP inventories. European Journal of Operational Research, 135(1), 128-141.
Porteus, E. L. (1986). Optimal lot sizing, process quality improvement and setup cost reduction. Operations research, 34(1), 137-144.
Rosenblatt, M. J., & Lee, H. L. (1986). Economic production cycles with imperfect production processes. IIE transactions, 18(1), 48-55.
Salameh, M. K., & Jaber, M. Y. (2000). Economic production quantity model for items with imperfect quality. International journal of production economics, 64(1), 59-64.
Sana, S. S. (2011). A production-inventory model of imperfect quality products in a three-layer supply chain. Decision Support Systems, 50(2), 539-547.
Sarkar, B., & Majumder, A. (2013). Integrated vendor–buyer supply chain model with vendor’s setup cost reduction. Applied Mathematics and Computation, 224, 362-371.
Sarkar, B., & Moon, I. (2014). Improved quality, setup cost reduction, and variable backorder costs in an imperfect production process. International journal of production economics, 155, 204-213.
Sarkar, B., Chaudhuri, K., & Moon, I. (2015). Manufacturing setup cost reduction and quality improvement for the distribution free continuous-review inventory model with a service level constraint. Journal of Manufacturing Systems, 34, 74-82.
Sarkar, B., Ganguly, B., Sarkar, M., & Pareek, S. (2016). Effect of variable transportation and carbon emission in a three-echelon supply chain model. Transportation Research Part E: Logistics and Transportation Review, 91, 112-128.
Sarkar, B., Saren, S., Sarkar, M., & Seo, Y. W. (2016). A Stackelberg Game Approach in an Integrated Inventory Model with Carbon-Emission and Setup Cost Reduction. Sustainability, 8(12), 1244.
Shah, N., & Shah, D. (2012). Vendor-buyer ordering policy when demand is trapezoidal. International Journal of Industrial Engineering Computations, 3(5), 721-730.
Shi, X., & Meier, H. (2012). Carbon emission assessment to support planning and operation of low-carbon production systems. Procedia CIRP, 3, 329-334.
Shi, Y., Chen, L., Liu, Z., Yan, J., & Hu, J. (2012). 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, 121-130.
Tang, J., Ji, S., & Jiang, L. (2016). The design of a sustainable location-routing-inventory model considering consumer environmental behavior. Sustainability, 8(3), 211.
Tang, S., Wang, W., Yan, H., & Hao, G. (2015). Low carbon logistics: Reducing shipment frequency to cut carbon emissions. International Journal of Production Economics, 164, 339-350.
Viswanathan, S. (1998). Optimal strategy for the integrated vendor-buyer inventory model. European Journal of Operational Research, 105(1), 38-42.
Wee, H. M., Yu, J., & Chen, M. C. (2007). Optimal inventory model for items with imperfect quality and shortage backordering. Omega, 35(1), 7-11.
Wu, K. S., & Ouyang, L. Y. (2003). An integrated single-vendor single-buyer inventory system with shortage derived algebraically. Production Planning & Control, 14(6), 555-561.
Yang, P. C., & Wee, H. M. (2000). Economic ordering policy of deteriorated item for vendor and buyer: an integrated approach. Production Planning & Control, 11(5), 474-480.
Yeh, R. H., Ho, W. T., & Tseng, S. T. (2000). Optimal production run length for products sold with warranty. European Journal of Operational Research, 120(3), 575-582.
Zhang, X., Liu, P., Li, Z., & Yu, H. (2013). Modeling the effects of low-carbon emission constraints on mode and route choices in transportation networks. Procedia-Social and Behavioral Sciences, 96, 329-338.