Abstract
In this article, we establish an inventory model for deteriorating items with a return period and price-dependent demand for the retailer who offers two-phase advance sales to his/her customers. The replenishment cycle is divided into two sales periods: one is the two-phase advance sales period, and the other is the spot sales period. Before customers with reservations receive their orders, they may cancel the order. On the other hand, when the customers receive the order, they can make a request to return products for any reason during the return period. We provide an easy-to-use method to obtain the optimal selling price and the optimal sales period to achieve the retailer’s maximum total profit. Finally, we give numerical examples to illustrate the solution procedure. We perform a sensitivity analysis to investigate the effect of changes of some main parameter values on the optimal solution and provide an economic interpretation.
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References
Abad PL (2003) Optimal pricing and lot-sizing under conditions of perishability, finite production and partial backordering and lost sale. Eur J Oper Res 144(3):677–685
Begum R, Sahoo R, Sahu S (2012) A replenishment policy for items with price-dependent demand, time-proportional deterioration and no shortages. Int J Syst Sci 43(5):903–910
Chang H-J, Teng J-T, Ouyang L-Y, Dye C-Y (2006) Retailer’s optimal pricing and lot-sizing policies for deteriorating items with partial backlogging. Eur J Oper Res 168(1):51–64
Chen M-L, Cheng M-C (2011) Optimal order quantity under advance sales and permissible delays in payments. Afr. J. Bus. Manag. 5(17):7325–7334
Chen X, Zhou Q (2014) Loss-averse retailer’s optimal ordering policies for perishable products with customer returns. Math Probl Eng 2014:831796. https://doi.org/10.1155/2014/831796
Cheng M-C, Ouyang L-Y (2014) Advance sales system with price-dependent demand and an appreciation period under trade credit. Int J Inf Manag Sci 25(Special Issue):251–262
Cheng M-C, Ouyang L-Y (2015) An inventory model for deteriorating items with appreciation period and price-dependent demand under two-phrase advance sales. In: Proceedings of the 2015 international conference in management sciences and decision making. Department of Management Sciences, Tamkang University, Taiwan
Covert RP, Philip GC (1973) An EOQ model with Weibull distribution deterioration. AIIE Trans 5(4):323–326
Davis S, Gerstner E, Hagerty M (1995) Money back guarantees in retailing: matching products to consumer tastes. J Retail 71(1):7–22
Davis S, Hagerty M, Gerstner E (1998) Return policies and the optimal level of “hassle”. J Econ Bus 50(5):445–460
Dye C-Y, Yang C-T (2016) Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects. Omega 62:52–67
Ghare PM, Schrader GH (1963) A model for an exponentially decaying inventory system. J Ind Eng 14:238–243
Ghoreishi M, Khamseh AA, Mirzazadeh A (2013) Joint optimal pricing and inventory control for deteriorating items under inflation and customer returns. J Ind Eng 2013:709083. https://doi.org/10.1155/2013/709083
Ghoreishi M, Mirzazadeh A, Weber G-W (2014) Optimal pricing and ordering policy for non-instantaneous deteriorating items under inflation and customer returns. Optimization 63(12):1785–1804
Goyal SK, Giri B (2001) Recent trends in modeling of deteriorating inventory. Eur J Oper Res 134(1):1–16
Hess JD, Chu W, Gerstner E (1996) Controlling product returns in direct marketing. Mark Lett 7(4):307–317
Hu W, Li Y, Govindan K (2014) The impact of consumer returns policies on consignment contracts with inventory control. Eur J Oper Res 233(2):398–407
Li Y, Xu L, Li D (2013) Examining relationships between the return policy, product quality, and pricing strategy in online direct selling. Int J Prod Econ 144(2):451–460
McCardle K, Rajaram K, Tang CS (2004) Advance booking discount programs under retail competition. Manage Sci 50(5):701–708
Moe WW, Fader PS (2002) Using advance purchase orders to forecast new product sales. Mark Sci 21(3):347–364
National Retail Federation (2015) Consumer returns in the retail industry. https://nrf.com/resources/retail-library/consumer-returns-the-retail-industry-2015
Petersen JA, Kumar V (2015) Perceived risk, product returns, and optimal resource allocation: evidence from a field experiment. J Mark Res 52(2):268–285
Soni HN, Patel KA (2013) Joint pricing and replenishment policies for non-instantaneous deteriorating items with imprecise deterioration free time and credibility constraint. Comput Ind Eng 66(4):944–951
Tang CS, Rajaram K, Alptekinoğlu A, Ou J (2004) The benefits of advance booking discount programs: model and analysis. Manage Sci 50(4):465–478
Thangam A (2012) Optimal price discounting and lot-sizing policies for perishable items in a supply chain under advance payment scheme and two-echelon trade credits. Int J Prod Econ 139(2):459–472
Thangam A (2015) Retailer’s inventory system in a two-level trade credit financing with selling price discount and partial order cancelations. J Ind Eng Int 11(2):159–170
Tsao Y-C (2009) Retailer’s optimal ordering and discounting policies under advance sales discount and trade credits. Comput Ind Eng 56(1):208–215
Weng ZK, Parlar M (1999) Integrating early sales with production decisions: analysis and insights. IIE Trans 31(11):1051–1060
Xie J, Shugan SM (2001) Electronic tickets, smart cards, and online prepayments when and how to advance sell. Mark Sci 20(3):219–243
Yalabik B, Petruzzi NC, Chhajed D (2005) An integrated product returns model with logistics and marketing coordination. Eur J Oper Res 161(1):162–182
Yang C-T, Ouyang L-Y, Wu H-H (2009) Retailer’s optimal pricing and ordering policies for non-instantaneous deteriorating items with price-dependent demand and partial backlogging. Math Probl Eng 2009;Article ID 19830518 p
You P-S (2006) Ordering and pricing of service products in an advance sales system with price-dependent demand. Eur J Oper Res 170(1):57–71
You P-S (2007) Optimal pricing for an advance sales system with price and waiting time dependent demands. J Oper Res Soc Jpn 50(2):151–161
You P-S, Ikuta S, Hsieh Y-C (2010) Optimal ordering and pricing policy for an inventory system with trial periods. Appl Math Model 34(10):3179–3188
You P-S, Wu M-T (2007) Optimal ordering and pricing policy for an inventory system with backorder cancellation. OR Spectr 29(4):661–679
Acknowledgements
The authors are grateful to anonymous referees for their encouragement and constructive comments. This research was supported by the Ministry of Science and Technology of the Republic of China under Grant MOST 103-2410-H-570 -001.
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Cheng, MC., Hsieh, TP., Lee, HM. et al. Optimal ordering policies for deteriorating items with a return period and price-dependent demand under two-phase advance sales. Oper Res Int J 20, 585–604 (2020). https://doi.org/10.1007/s12351-017-0359-9
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DOI: https://doi.org/10.1007/s12351-017-0359-9