Abstract
In today’s business world to boost the demand, vendor gives a trade credit to buyer. Moreover, most of the products lose quality over time due to environmental effects. This chapter studies an inventory policy for the item which has expiry date with two levels of trade credit depending on the quantity of order. It is considered that a supplier is ready to give a mutually agreed credit period to retailer only if the order quantity purchased by retailer is more than the predetermined quantity of order. Additionally, a retailer deals a credit limit to the end consumers. Here, time- and price-sensitive demand is debated with inflation. A retailer’s main objective is to earn maximum total profit with respect to the number of replenishments throughout the finite planning horizon. Results are supported by numerical examples. Finally, a sensitivity analysis is done to develop visions for decision-makers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Goyal SK (1985) Economic order quantity under conditions of permissible delay in payments. J Oper Res Soc 36(4):335–338
Aggarwal SP, Jaggi CK (1995) Ordering policies of deteriorating items under permissible delay in payments. J Oper Res Soc 46(5):658–662
Huang YF (2003) Optimal retailers ordering policies in EOQ model under trade credit financing. J Oper Res Soc 54(9):1011–1015
Soni H, Shah NH, Jaggi CK (2010) Inventory models and trade credit—a review. Control Cybern 39(3):867–882
Sana S (2012) An economic order quantity model for nonconforming quality products. Serv Sci 4(4):331–348
Ouyang LY, Yang CT, Chan YL, Cárdenas-Barrón LE (2013) A comprehensive extension of the optimal replenishment decisions under two levels of trade credit policy depending on the order quantity. Appl Math Comput 224(1):268–277
Taleizadeh AA, Pentico DW, Jabal-ameli MS, Aryanezhad M (2013) An EOQ model with partial delayed payment and partial backordering. Omega 41(2):354–368
Pal B, Sana SS, Chaudhuri KS (2014) Three stage trade credit policy in a three-layer supply chain: A production inventory model. Int J Syst Sci 45(9):1844–1868
Shah NH, Jani MY, Chaudhari UB (2018) Optimal ordering policy for deteriorating items under down-stream trade credit dependent quadratic demand with full up-stream trade credit and partial down-stream trade credit. Int J Math Oper Res 12(3):378–396
Pal S, Goswami A, Chaudhuri KS (1993) A deterministic inventory model for deteriorating items with stock-dependent demand rate. Int J Prod Econ 32(3):291–299
Wee HM (1997) A replenishment policy for items with a price dependent demand and a varying rate of deterioration. Prod Plan Control 8(5):494–499
Jaggi CK, Goyal SK, Goel SK (2008) Retailer’s optimal replenishment decisions with credit-linked demand under permissible delay in payments. Eur J Oper Res 190(1):130–135
Shah NH, Jani MY, Shah DB (2015) Economic order quantity model under trade credit and customer returns for price-sensitive quadratic demand. Rev Investig Oper 36(3):240–248
Shah NH, Jani MY, Chaudhari UB (2017) Retailer’s optimal policies for price-credit dependent trapezoidal demand under two-level trade credit. Int J Oper Quant Manag 23(2):115–130
Ghare PM, Scharender GH (1963) A model for exponentially decaying inventory system. J Ind Engineering 14(5):238–243
Raafat F (1991) Survey of literature on continuously deteriorating inventory models. J Oper Res Society 42(1):27–37
Sett BK, Sarkar B, Goswami A (2012) A two-warehouse inventory model with increasing demand and time varying deterioration. Sci Iranica 19(6):1969–1977
Sarkar B, Saren S, Cárdenas-Barrón LE (2015) An inventory model with trade-credit policy and variable deterioration for fixed lifetime products. Ann Oper Res 229(1):677–702
Shah NH, Jani MY, Chaudhari UB (2017b) Optimal replenishment time for retailer under partial upstream prepayment and partial downstream overdue payment for quadratic demand. Math Comput Model Dyn Syst. https://doi.org/10.1080/13873954.2017.1324882
Ray J, Chaudhuri KS (1997) An EOQ model with stock-dependent demand, shortage, inflation and time discounting. Int J Prod Econ 53(2):171–180
Chang CT, Wu SJ, Chen LC (2009) Optimal payment time with deteriorating items under inflation and permissible delay in payment. Int J Syst Sci 40(10):985–993
Sarkar B (2012) An EOQ model with delay in payments and time varying deterioration rate. Math Comput Model 55(3–4):367–377
Ghoreishi M, Mirzazadeh A, Weber GW, Turkey A, Nakhai-Kamalabadi I (2015) Joint pricing and replenishment decisions for non-instantaneous deteriorating items with partial backlogging, inflation and selling price-dependent demand and customer returns. J Ind Manag Optim 11(3):933–949
Lashgari M, Taleizadeh AA, Sana SS (2016) An inventory control problem for deteriorating items with back-ordering and financial considerations under two levels of trade credit linked to order quantity. J Ind Manag Optim 12(3):1091–1119
Shah NH, Jani MY, Chaudhari UB (2017) Study of imperfect manufacturing system with preservation technology investment under inflationary environment for quadratic demand: A reverse logistic approach. J Adv Manuf Syst 16(1):1–18
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Jani, M.Y., Shah, N.H., Chaudhari, U. (2020). Inventory Control Policies for Time-Dependent Deteriorating Item with Variable Demand and Two-Level Order Linked Trade Credit. In: Shah, N., Mittal, M. (eds) Optimization and Inventory Management. Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-9698-4_3
Download citation
DOI: https://doi.org/10.1007/978-981-13-9698-4_3
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-9697-7
Online ISBN: 978-981-13-9698-4
eBook Packages: Business and ManagementBusiness and Management (R0)