Optimal pricing and ordering policies for perishable products under advance-cash-credit payment scheme

Journal of Industrial Engineering International

دوره 16، شماره 3، آذر 2020، صفحه 131-146   

نویسندگان

Yu‑Chung Tsao^{* 1}؛ Rizka Pricilia Fitriana Restu Putri¹؛ Chong Zhang²؛ Vu‑Thuy Linh¹

¹Department of Industrial Management, National Taiwan University of Science and Technology, Taipei, Taiwan

²School of Management, Nanjing University of Posts and Telecommunications, Nanjing, People’s Republic of China

چکیده

Recently, market globalization and competition have forced companies to find alternative means to boost sales and revenue. The use of the cash flow is increasingly becoming a viable alternative for managers to improve their company’s profitability in a supply chain. In today’s business transactions, a supplier usually asks a manufacturer to pay via the advance-cash-credit (ACC) payment scheme if the number of goods procured is high. Additionally, product perishability has been considered in an economic production quantity (EPQ) model since it is a real phenomenon. The present work develops an EPQ model for perishable products under the ACC payment scheme. The objective of the proposed model is to determine the optimal selling price and cycle time while maximizing profit under the ACC payment scheme using a discounted cash flow analysis. A nonlinear optimization algorithm is also proposed to solve the problem. In addition, some numerical examples are employed to illustrate the solution approach and show the concavity of the present value of the total annual profit in terms of both selling price and cycle time. The numerical results show that our proposal algorithm could be applied well to solve the problems. In addition, a sensitivity analysis is conducted to obtain some managerial insights. For example, if the impact of advance payment on procurement cost is relatively smaller than that of cash payment, then it is more profitable for the manufacturer to ask for a cash payment than to receive an advance payment and vice versa.

کلیدواژه‌ها

Inventory model: Advance cash؛ Credit payment؛ Product perishability؛ Deterioration rate؛ EPQ

مراجع

Beranek W (1967) Financial implications of lot size inventory models. Manag Sci 13:B401–B408
Chakraborty N, Mondal S, Maiti M (2016) An EPQ model for deteriorating items under random planning horizon with some linguistic relations between demand, selling price and trade credit, ordered
quantity. J Math Inform 6:73–92
Chen SC (2014) Economic production quantity models for deteriorating items with up-stream full trade credit and down-stream partial credit. Int J Prod Econ 155:302–309
Chung KJ (2002) The optimal cycle time for EPQ model under permissible delay in payments. Int J Prod Econ 84:307–318
Chung KJ, Lin SD, Srivastava HM (2014) The inventory models for deteriorating items in the discounted cash-fow approach under conditional trade credit and cash discount in a supply chain system. Appl Math Inf Sci 8:2103–2111
Cuñat V, Garcia-Appendini E (2012) Trade credit and its role in entrepreneurial fnance. In: Cumming D (ed) Oxford handbook of entrepreneurial fnance. Oxford University Press, New York, pp 526–557
Diabat A, Taleizadeh AA, Lashgari M (2017) A lot sizing model with partial downstream delayed payment, partial upstream advance payment, and partial backordering for deteriorating items. J Manuf Syst 45:322–342
Federal Reserve System (2017) https://www.investopedia.com/terms/f/federalreservebank.asp. Accessed 4 June 2019
Feng H et al (2013) Retailer’s optimal replenishment and payment policies in the EPQ model under cash discount and two-level trade credit policy. Appl Math Model 37:3322–3339
Grubbstrom RW (1980) A principle for determining the correct capital costs of work-in-progress and inventory. Int J Prod Res 18:259–271
Harris F (1913) How many parts to make at once. Fact Mag Manag 10(2):135–136, 152
Huang Y-F (2007) Optimal retailer’s replenishment policy for the EPQ model under the supplier’s trade credit policy. Prod Plan Control 15:27–33
Li R, Chan Y-L, Chang C-T, Cárdenas-Barrón LE (2017) Pricing and lot-sizing policies for perishable products with advance-cashcredit payments by a discounted cash-fow analysis. Int J Prod Econ 193:578–589
Li R, Liu Y, Teng J-T, Tsao Y-C (2019) Optimal pricing, lot-sizing and backordering decisions when a seller demands an advance-cashcredit payment scheme. Eur J Oper Res 278(1):283–295
Liao JJ (2007) On an EPQ model for deteriorating items under permissible delay in payments. Appl Math Model 31:983–996
Mahata P (2014) Optimal pricing and ordering policy for an EPQ inventory system with perishable items under partial trade credit fnancing. Int J Oper Res 21:221–251
Mahata GC (2015) Retailer’s optimal credit period and cycle time in a supply chain for deteriorating items with up-stream and downstream trade credits. J Ind Eng Int 11(3):353–366
Majumder P et al (2015) An EPQ model of deteriorating items under partial trade credit fnancing and demand declining market in crisp and fuzzy environment. Procedia Comput Sci 45:780–789
Majumder P, Bera UK, Maiti M (2019) An EPQ model of deteriorating substitute items under trade credit policy. Int J Oper Res 34(2):162–212
Panda GC, Khan MA-A, Shaikh AA (2019) A credit policy approach in a two-warehouse inventory model for deteriorating items with price- and stock-dependent demand under partial backlogging. J Ind Eng Int 15(1):147–170
Shaikh AA, Cárdenas-Barrón LE, Tiwari S (2018) Closed-form solutions for the EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain. Int J Appl Comput Math 4:70
Sundara Rajan R, Uthayakumar R (2017) Optimal pricing and replenishment policies for instantaneous deteriorating items
with backlogging and trade credit under infation. J Ind Eng Int 13(4):427–443
Taft E (1918) The most economical production lot. Iron Age 101:1410–1412
Taleizadeh A (2014) An EOQ model with partial backoredring and advance payments for an evaporating item. Int J Prod Econ 155:185–193
Taleizadeh AA (2017) Lot-sizing model with advance payment pricing and disruption in supply under planned partial backordering. Int J Oper Res 24(4):783–800
Taleizadeh AA, Pentico DW, Mohammad SJ, Aryanezhad M (2013) An EOQ model with multiple partial advance payments and partial backordering. Math Comput Model 57:311–323
Teng JT (2002) On the economic order quantity under conditions of permissible delay in payments. J Oper Res Soc 53:915–918 
Teng J (2009) Optimal ordering policies for a retailer who ofers distinct trade credits to its good and bad credit customers. Int J Prod Econ 119:415–423
Teng JT, Chang CT (2005) Economic production model for deteriorating items with proce and stock dependent demand. Comput Oper Res 32:297–308
Wu J et al (2016) Inventory models for deteriorating items with maximum lifetime under dowmstream partial trade credits to creditrisk customers by discounted cash-fow analysis. Int J Prod Econ 171:105–115
Wu J, Teng J-T, Chan Y-L (2018) Inventory policies for perishable products with expiration dates and advance-cash-credit payment schemes. Int J Syst Sci Oper Logist 5(4):310–326
Zhang A (1996) Optimal advance payment scheme involving fxed perpayment costs. Omega Int J Manag Sci 24:557–582
Zia TA (2015) A lot sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment. Transp Res 82:19–37