A collaborating inventory system in a supply chain under Brownian motion demand and imperfect quality

References

• Annadurai, K., & Uthayakumar, R. (2010). Controlling setup cost (Q,r,L) inventory model with defective items. Applied Mathematical Modelling, 34, 1418–1427.
   Web of Science ®Google Scholar
• Banerjee, A. (1986). A joint economic-lot-size model for purchaser and vendor. Decision Sciences, 17, 292–311.
   Web of Science ®Google Scholar
• Cárdenas-Barrón, L.E. (2008). Optimal manufacturing batch size with rework in a single-stage production system – a simple derivation. Computers & Industrial Engineering, 55(4), 758–765.
   Web of Science ®Google Scholar
• Cárdenas-Barrón, L.E. (2009a). On optimal batch sizing in a multi-stage production system with rework consideration. European Journal of Operational Research, 196(3), 1238–1244.
   Web of Science ®Google Scholar
• Cárdenas-Barrón, L.E. (2009b). Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Computers & Industrial Engineering, 57(3), 1105–1113.
   Web of Science ®Google Scholar
• Cárdenas-Barrón, L.E., Sarkar, B., & Treviño-Garza, G. (2013a). Easy and improved algorithms to joint determination of the replenishment lot size and number of shipments for an EPQ model with rework. Mathematical and Computational Applications, 18(2), 132–138
   Google Scholar
• Cárdenas-Barrón, L.E., Sarkar, B., & Treviño-Garza, G. (2013b). An improved solution to the replenishment policy for the EMQ model with rework and multiple shipments. Applied Mathematical Modelling, 37(7), 5549–5554.
   Web of Science ®Google Scholar
• Cárdenas-Barrón, L.E., Taleizadeh, A.A., & Treviño-Garza, G. (2012). An improved solution to replenishment lot size problem with discontinuous issuing policy and rework, and multi-delivery policy into economic production lot size problem with partial rework. Expert Systems with Applications, 39(18), 13540–13546.
   Web of Science ®Google Scholar
• Chang, H.C. (2004). An application of fuzzy sets theory to the EOQ model with imperfect quality items. Computers and Operations Research, 31, 2079–2092.
   Web of Science ®Google Scholar
• 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, 233–237.
   Web of Science ®Google Scholar
• Chen, H., Wu, O.Q., & Yao, D.D. (2004). Optimal pricing and replenishment in a single-product inventory system. In: Proceedings of 4thAnnual INFORMS Revenue Management and Pricing Section Conference June 10–11. Cambridge, MA: Sloan School of Management, MIT.
   Google Scholar
• El-Kassar, A.N.M. (2009). Optimal order quantity for imperfect quality items. In: Proceedings of the Academy of Information and Management Sciences, 13, 24–30.
   Google Scholar
• Eroglu, A., & Ozdemir, G. (2007). An economic order quantity model with defective items and shortages. International Journal of Production Economics, 106, 544–549.
   Web of Science ®Google Scholar
• Goyal, S.K. (1976). An integrated inventory model for a single supplier-single customer problem. International Journal of Production Research, 15, 107–111.
   Web of Science ®Google Scholar
• Goyal, S.K. (1988). A joint economic-lot-size model for purchaser and vendor: A comment. Decision Sciences, 19, 236–241.
   Web of Science ®Google Scholar
• Goyal, S.K, & Cárdenas-Barrón, L.E. (2002). Note on: Economic production quantity model for items with imperfect quality – a practical approach. International Journal of Production Economics, 77, 85–87.
   Web of Science ®Google Scholar
• Goyal, S.K, & Gupta, Y.P. (1989). Integrated inventory models: The buyer-vendor coordination. European Journal of Operational Research, 41, 261–269.
   Web of Science ®Google Scholar
• 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, 175–178.
   Web of Science ®Google Scholar
• Ha, D., & Kim, S.L. (1997). Implementation of JIT purchasing: An integrated approach. Production Planning & Control, 8, 152–157.
   Web of Science ®Google Scholar
• Hadley, G., & Whitin, T.M. (1963). Analysis of inventory systems. Englewood Cliffs, NJ: Prentice-Hal.
   Google Scholar
• Hill, R.M. (1997). The single-vendor single-buyer integrated production-inventory model with a generalized policy. European Journal of Operational Research, 97, 493–499.
   Web of Science ®Google Scholar
• Hill, R.M. (1999). The optimal production and shipment policy for the single-vendor single-buyer integrated production-inventory problem. International Journal of Production Research, 37, 2463–2475.
   Web of Science ®Google Scholar
• Hsu, L.F., & Hsu, J.T. (2014). Economic production quantity (EPQ) models under an imperfect production process with shortages backordered. International Journal of Systems Science. doi:10.1080/00207721.2014.906768
   Google Scholar
• Hsu, S.L., & Huang, Y.F. (2010). An integrated inventory model with controllable lead time and distribution-free demand. Applied Stochastic Models in Business and Industry, 26, 416–430.
   Web of Science ®Google Scholar
• Huang, C.K. (2002). An integrated vendor-buyer cooperative inventory model for items with imperfect quality. Production Planning & Control, 13, 355–361.
   Web of Science ®Google Scholar
• Huang, CK. (2004). An optimal policy for a single-vendor single-buyer integrated production-inventory problem with process unreliability consideration. International Journal of Production Economics, 91, 91–98.
   Web of Science ®Google Scholar
• Joglekar, P.N. (1988). Comments on “a quantity discount pricing model to increase vendor profits”. Management Science, 34, 1391–1398.
   Web of Science ®Google Scholar
• Khan, M., Jaber, M.Y., Guiffrida, A.L., & Zolfaghari, S. (2011). A review of the extensions of a modified EOQ model for imperfect quality items. International Journal of Production Economics, 132, 1–12.
   Web of Science ®Google Scholar
• Kushner, H.J. (1971). Introduction to stochastic control. New York, NY: Holt, Rinehart and Winston.
   Google Scholar
• Liao, C.J., & Shyu, C.H. (1991). An analytical determination of lead time with normal demand. International Journal of Operations & Production Management, 11, 72–78.
   Google Scholar
• Lin, H.J. (2013). Reducing lost-sales rate on the stochastic inventory model with defective goods for mixtures of distributions. Applied Mathematical Modelling, 37, 3296–3306.
   Web of Science ®Google Scholar
• Lu, L. (1995). A one-vendor multi-buyer integrated inventory model. European Journal of Operational Research, 81, 312–323.
   Web of Science ®Google Scholar
• Monahan, J.P. (1984). A quantity discount pricing model to increase vendor profits. Management Science, 30, 720–726.
   Web of Science ®Google Scholar
• Montgomery, D.C., Bazaras, M.S., & Keswani, A.K. (1973). Inventory models with a mixture of backorders and lost sales. Naval Research Logistics, 20, 255–263.
   Web of Science ®Google Scholar
• Moon, I., Shin, E., & Sarkar, B. (2014). Min-max distribution free continuous-review model with a service level constraint and variable lead time. Applied Mathematics and Computation, 229, 310–315.
   Web of Science ®Google Scholar
• Ouyang, L.Y, & Chang, H.C. (2000). Impact of investing in quality improvement on (Q, r, L) model involving the imperfect production process. Production Planning & Control, 11, 598–607.
   Web of Science ®Google Scholar
• Ouyang, L.Y, Wu, K.S., & Ho, C.H. (2004). Integrated vendor–buyer cooperative models with stochastic demand in controllable lead time. International Journal of Production Economics, 92, 255–266.
   Web of Science ®Google Scholar
• Ouyang, L.Y, Wu, K.S., & Ho, C.H. (2006). Analysis of optimal vendor-buyer integrated inventory policy involving defective items. International Journal of Advanced Manufacturing Technology, 29, 1232–1245.
   Web of Science ®Google Scholar
• Paknejad, M.J., Nasri, F., & Affisco, J.F. (1995). Defective units in a continuous review (s, Q) system. International Journal of Production Research, 33, 2767–2777.
   Web of Science ®Google Scholar
• Pan, J.C.-H., & Yang, J.S. (2002). A study of an integrated inventory with controllable lead time. International Journal of Production Research, 40, 1263–1273.
   Web of Science ®Google Scholar
• Porteus, E.L. (1986). Optimal lot sizing, process quality improvement and setup cost reduction. Operations Research, 34, 137–144.
   Web of Science ®Google Scholar
• Rosenblatt, M.J., & Lee, H.L. (1986). Economic production cycles with imperfect production processes. IIE Transactions, 18, 48–55.
   Web of Science ®Google Scholar
• Roy, M.D., Sana, S.S., & Chaudhuri, K. (2011). An economic order quantity model of imperfect quality items with partial backlogging. International Journal of Systems Science, 42(8), 1409–1419.
   Web of Science ®Google Scholar
• Roy, M.D., Sana, S.S., & Chaudhuri, K. (2014). An economic production lot size model for defective items with stochastic demand, backlogging and rework. IMA Journal of Management Mathematics, 25(2), 159–183.
   Web of Science ®Google Scholar
• Salameh, M.K., & Jaber, M.Y. (2000). Economic production quantity model for items with imperfect quality. International Journal of Production Economics, 64, 59–64.
   Web of Science ®Google Scholar
• Sana, S.S. (2010). An economic production lot size model in an imperfect production system. European Journal of Operational Research, 201, 158–170.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Sana, S.S. (2012a). Preventive maintenance and optimal buffer inventory for products sold with warranty in an imperfect production system. International Journal of Production Research, 50(23), 6763–6774.
   Web of Science ®Google Scholar
• Sana, S.S. (2012b). A collaborating inventory model in a supply chain. Economic Modelling, 29(5), 2016–2023.
   Web of Science ®Google Scholar
• Sana, S.S. (2014). Optimal production lot size and reorder point of a two-stage supply chain while random demand is sensitive with sales teams’ initiatives. International Journal of Systems Science. doi:10.1080/00207721.2014.886748
   Web of Science ®Google Scholar
• Sarkar, B. (2012a). An inventory model with reliability in an imperfect production process. Applied Mathematics and Computation, 218, 4881–4891.
   Web of Science ®Google Scholar
• Sarkar, B. (2012b). An EOQ model with delay in payments and stock dependent demand in the presence of imperfect production. Applied Mathematics and Computation, 218, 8295–8308.
   Web of Science ®Google Scholar
• Sarkar, B., Cárdenas-Barrón, L.E., Sarkar, M., & Singgih, M.L. (2014a). An economic production quantity model with random defective rate, rework process and backorders for a single stage production system. Journal of Manufacturing Systems, 33(3), 423–435.
   Web of Science ®Google Scholar
• Sarkar, B., Gupta, H., Chaudhuri, K., & Goyal, S.K. (2014b). An integrated inventory model with variable lead time, defective units and delay in payments. Applied Mathematics and Computation, 237, 650–658.
   Web of Science ®Google Scholar
• Sarkar, B., & Majumder, A. (2013). Integrated vendor-vendor supply chain model with vendor's setup cos reduction. Applied Mathematics and Computation, 224, 362–371.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Sarkar, B., Sana, S.S., & Chaudhuri, K.S. (2011). An imperfect production process for time varying demand with inflation and time value of money – an EMQ model. Expert Systems with Applications, 38, 13543–13548.
   Web of Science ®Google Scholar
• Taleizadeh, A.A., Cárdenas-Barrón, L.E., Biabani, J., & Nikousokhan, R. (2012). Multi products single machine EPQ model with immediate rework process. International Journal of Industrial Engineering Computations, 3(2), 93–102.
   Google Scholar
• Taleizadeh, A.A., Cárdenas-Barrón, L.E., & Mohammadi, B. (2014). A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process. International Journal of Production Economics, 150(1), 9–27.
   Web of Science ®Google Scholar
• Vickson, R.G. (1986). A single product cycling problem under Brownian motion demand. Management Science, 32, 1336–1345.
   Web of Science ®Google Scholar
• Wee, H.M., Wang, W.T., Lee, M.C., & Cárdenas-Barrón, L.E. (2013). Solving a finite horizon EPQ problem with backorders. Applied Mathematical Modelling, 37(14–15), 7876–7882.
   Web of Science ®Google Scholar
• Wu, K.S., & Ouyang, L.Y. (2001). (Q,r,L) Inventory model with defective items. Computers & Industrial Engineering, 39, 173–185.
   Web of Science ®Google Scholar
• Yang, P.C., & Wee, H.M. (2000). Economic ordering policy of deteriorated item for vendor and buyer: An integrated approach. Production Planning & Control, 11, 41–47.
   Web of Science ®Google Scholar