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A multi-item supply chain with credit periods and weight freight cost discounts

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  • Tsao, Yu-Chung
  • Sheen, Gwo-Ji

Abstract

It is possible to realize considerable savings by aggregating the replenishment of a variety of items in a multi-item supply chain. This joint multi-item replenishment policy has already been widely applied in a variety of industries. This type of policy may make it possible for the retailer to take advantage of transport economies of scale by the utilization of freight discounts for greater weight. In addition, a supplier will often extend forward financing to a retailer. In this paper, a multi-item supply chain with a credit period and weight freight cost discounts is considered. The retailer bears the freight costs, but the freight carrier provides freight-transport discounts that are positively related to the weight of the cargo transported. From both the individual and the channel perspectives, we deal with the dual problems of determining the ideal supplier credit period, and of the best way for the retailer to make multi-item replenishment and pricing decisions, while still maximizing profits. We outline the optimal properties and develop algorithms for solving the problems described, as well as discuss the impact of the freight cost discounts, the inventory holding cost, and the interest rate on the behavior of both parties.

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  • Tsao, Yu-Chung & Sheen, Gwo-Ji, 2012. "A multi-item supply chain with credit periods and weight freight cost discounts," International Journal of Production Economics, Elsevier, vol. 135(1), pages 106-115.
  • Handle: RePEc:eee:proeco:v:135:y:2012:i:1:p:106-115
    DOI: 10.1016/j.ijpe.2010.11.013
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    1. Wee, Hui-Ming, 1999. "Deteriorating inventory model with quantity discount, pricing and partial backordering," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 511-518, March.
    2. Van Eijs, M. J. G., 1994. "Multi-item inventory systems with joint ordering and transportation decisions," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 285-292, June.
    3. Chen, Tsung-Hui & Chen, Jen-Ming, 2005. "Optimizing supply chain collaboration based on joint replenishment and channel coordination," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(4), pages 261-285, July.
    4. Abad, P. L. & Jaggi, C. K., 2003. "A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive," International Journal of Production Economics, Elsevier, vol. 83(2), pages 115-122, February.
    5. Teng, Jinn-Tsair & Chang, Chun-Tao & Goyal, Suresh Kumar, 2005. "Optimal pricing and ordering policy under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 97(2), pages 121-129, August.
    6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    7. Nilsson, Andreas & Segerstedt, Anders & van der Sluis, Erik, 2007. "A new iterative heuristic to solve the joint replenishment problem using a spreadsheet technique," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 399-405, July.
    8. Hamilton Emmons & Stephen M. Gilbert, 1998. "Note. The Role of Returns Policies in Pricing and Inventory Decisions for Catalogue Goods," Management Science, INFORMS, vol. 44(2), pages 276-283, February.
    9. Khouja, Moutaz, 2003. "Optimizing inventory decisions in a multi-stage multi-customer supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 39(3), pages 193-208, May.
    10. Seong Whan Shinn & Hwang, Hark & Sung, Soo Park, 1996. "Joint price and lot size determination under conditions of permissible delay in payments and quantity discounts for freight cost," European Journal of Operational Research, Elsevier, vol. 91(3), pages 528-542, June.
    11. Li, Xiuhui & Wang, Qinan, 2007. "Coordination mechanisms of supply chain systems," European Journal of Operational Research, Elsevier, vol. 179(1), pages 1-16, May.
    12. J-T Teng, 2002. "On the economic order quantity under conditions of permissible delay in payments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(8), pages 915-918, August.
    13. Rempala, Ryszarda, 2003. "Joint replenishment multiproduct inventory problem with continuous production and discrete demands," International Journal of Production Economics, Elsevier, vol. 81(1), pages 495-511, January.
    14. Chen, Jen-Ming & Chen, Tsung-Hui, 2007. "The profit-maximization model for a multi-item distribution channel," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(4), pages 338-354, July.
    15. Nejib Ben-Khedher & Candace A. Yano, 1994. "The Multi-Item Joint Replenishment Problem with Transportation and Container Effects," Transportation Science, INFORMS, vol. 28(1), pages 37-54, February.
    16. Sheen, Gwo-Ji & Tsao, Yu-Chung, 2007. "Channel coordination, trade credit and quantity discounts for freight cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(2), pages 112-128, March.
    17. Stephen C. Graves, 1979. "Note--On the Deterministic Demand Multi-Product Single-Machine Lot Scheduling Problem," Management Science, INFORMS, vol. 25(3), pages 276-280, March.
    18. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    19. Edward P. C. Kao, 1979. "A Multi-Product Dynamic Lot-Size Model with Individual and Joint Set-up Costs," Operations Research, INFORMS, vol. 27(2), pages 279-289, April.
    20. Ouyang, Liang-Yuh & Ho, Chia-Huei & Su, Chia-Hsien, 2008. "Optimal strategy for an integrated system with variable production rate when the freight rate and trade credit are both linked to the order quantity," International Journal of Production Economics, Elsevier, vol. 115(1), pages 151-162, September.
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    7. Huang, Di & Ouyang, Lian Qun & Zhou, Hong, 2012. "Note on: Managing multi-echelon multi-item channels with trade allowances under credit period," International Journal of Production Economics, Elsevier, vol. 138(1), pages 117-124.
    8. Deepak Singhal & Sarat Kumar Jena & Satyabrata Aich & Sushanta Tripathy & Hee-Cheol Kim, 2021. "Remanufacturing for Circular Economy: Understanding the Impact of Manufacturer’s Incentive under Price Competition," Sustainability, MDPI, vol. 13(21), pages 1-19, October.
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    11. A. Thangam, 2017. "Retailer’s optimal replenishment policy in a two-echelon supply chain under two-part delay in payments and disruption in delivery," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(1), pages 26-46, January.
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    14. Gaurav Nagpal & Udayan Chanda & Himanshu Seth & Namita Ruparel, 2022. "Inventory Replenishment Policies for Two Successive Generations of Technology Products Under Permissible Delay in Payments," International Journal of Information Systems and Supply Chain Management (IJISSCM), IGI Global, vol. 15(1), pages 1-29, January.
    15. Gour Chandra Mahata & Sujit Kumar De, 2016. "An EOQ inventory system of ameliorating items for price dependent demand rate under retailer partial trade credit policy," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 889-916, December.
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    17. Cortés, Pablo & Muñuzuri, Jesús & Guadix, José & Onieva, Luis, 2013. "Optimal algorithm for the demand routing problem in multicommodity flow distribution networks with diversification constraints and concave costs," International Journal of Production Economics, Elsevier, vol. 146(1), pages 313-324.

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