Abstract
This chapter comprises a single retailer and single product which deteriorates continuously. For the time-dependent deteriorating item with seasonal demand, quadratic demand is debated here which is suitable for the items whose demand with starting of the season increases initially and after end of the season, it starts to decrease. To reduce deterioration of the product, retailer needs preservation technology and due to preservation technology retailer minimizes total cost. In this chapter, the retailer has to pay a fraction of the purchase cost before the time of delivery and rest of the payment must be paid at the time of delivery. In this chapter, the optimal number of equal instalments before receiving the order quantity, replenishment time and investment of preservation technology are the decision variables that minimize the total cost. This chapter is an extension of the earlier work, as it provides the best optimal rather than the nearest minimum solution. A numerical example is delivered to demonstrate the performance of the model and to highlight certain decision-making insights.
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References
Taleizadeh AA (2014a) An economic order quantity model for deteriorating items in a purchasing system with multiple prepayments, Appl Math Model 38(23):5357–5366
Taleizadeh AA (2014b)An EOQ model with partial backordering and advance payments for an evaporating item. Int J Prod Econ 155(1):185–193
Ishii K, Takahashi K, Muramatsu R (1988) Integrate production, inventory and distribution systems. Int J Prod Res 26(3):473–482
Haq AN, Vrat P, Kanda A (1991) An integrated production-inventory-distribution model for manufacturer of urea: case. Int J Prod Econ 39(17):39–49
Goyal SK, Nebebe F (2000) Deterioration of economic production-shipment policy for a single vendor single buyer system. Eur J Oper Res 121(1):175–178
Woo YY, Hsu SL, Wu S (2001) An integrated inventory model for single vendor and multiple buyers with ordering cost reduction. Int J Prod Econ 73(1):203–215
Rau H, Wu MY, Wee HM (2003) Integrated inventory model for deteriorating items under a multi-echelon supply chain environment. Int J Prod Econ 86(1):155–168
Shah Nita H, Jhaveri C, Gor AS (2012) Optimal pricing and ordering policies for an integrated inventory model with quadratic demand when trade credit is linked to order quantity. J Model Manag 7(2):148–165
Shah Nita H, Jhaveri C, Gor AS (2009) Optimal pricing, shipment and payment policies for an integrated supplier—buyer inventory model in buoyant market with net credit. Int J Bus Insights Transform 2(2):3–12
Shah Nita H, Jhaveri C, Gor AS (2009) Integrated optimal solution for variable deteriorating inventory system of vendor-buyer when demand is quadratic. Can J Pure Appl Sci 3(1):713–717
Shah NH, Jhaveri C, Gor AS (2011) Determination of optimal pricing, shipment and payment policies for an integrated supplier-buyer deteriorating inventory model in a buoyant market with two-level trade credit. Int J Oper Res 11(2):119–135
Shah Nita H, Shukla KT (2010) Supply chain inventory model for optimal ordering and pricing policies under retailer’s partial trade credit scenario in declining market. Dyn Contin, Discret Impuls Syst-Ser B 17(2):309–324
Ghare PM, Scharender GH (1963) A model for exponentially decaying inventory system. J Ind Eng 14(5):238–243
Raafat F (1991) Survey of literature on continuously deteriorating inventory models. J Oper Res Soc 42(1):27–37
Shah Nita H, Shah YK (2000) Literature survey on inventory models for deteriorating items. Econ Ann 44(145):221–237
Goyal SK, Giri BC (2001) Recent trends in modeling of deteriorating inventory. Eur J Oper Res 134(1):1–16
Bakker M, Riezebos J, Teunter R (2012) Review of inventory system with deterioration since 2001. Eur J Oper Res 221(2):275–284
Chung KJ, Cárdenas-Barrón LE (2013) The simplified solution procedure for deteriorating items under stock-dependent demand and two-level trade-credit in the supply chain management. Appl Math Model 37(7):4653–4660
Shah Nita H, Cárdenas-Barrón LE (2015) Retailer’s decision for ordering and credit policies for deteriorating items when a supplier offers order-linked credit period or cash discount. Appl Math Comput 259(1):569–578
Hsu PH, Wee HM, Teng HM (2010) Preservation technology investment for deteriorating inventory. Int J Prod Econ 124(2):388–394
Dye CY, Hsieh TP (2012) An optimal replenishment policy for deteriorating items with effective investment in preservation technology. Eur J Oper Res 218(1):106–112
Hsieh TP, Dye CY (2013) A production inventory model incorporating the effect of preservation technology investment when demand is fluctuating with time. J Comput Appl Math 239(1):2536
Shah NH, Shah AD (2014) Optimal cycle time and preservation technology investment for deteriorating items with price-sensitive stock-dependent demand under inflation. J Phys: Conf Ser 495(2014):12–17
Shah NH, Chaudhari UB, Jani MY (2016a) An integrated production-inventory model with preservation technology investment for time-varying deteriorating item under time and price sensitive demand. Int J Inven Res 3(1):81–98
Shah NH, Chaudhari UB, Jani MY (2016b) Optimal policies for time-varying deteriorating item with preservation technology under selling price and trade credit dependent quadratic demand in a supply chain. Int J Appl Comput Math. https://doi.org/10.1007/s40819-016-0141-3
Cárdenas-Barrón LE, Sana SS (2015) Multi-item EOQ inventory model in a two-layer supply chain while demand varies with a promotional effort. Appl Math Model 39(21):6725–6737
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Chaudhari, U., Shah, N.H., Jani, M.Y. (2020). Inventory Modelling of Deteriorating Item and Preservation Technology with Advance Payment Scheme Under Quadratic Demand. In: Shah, N., Mittal, M. (eds) Optimization and Inventory Management. Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-9698-4_4
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