Abstract
The saliency of returns in today’s business world is unquestionable, in such items as toys, Christmas decorations, books, seasonal/fashion items and the like. This is largely due to the high economic benefits prevalent in some industries today and to the increasing opportunities for resale in secondary and global markets. This paper attempts to model the profitability of returns policy in presence of a secondary market, to a profit-maximizing manufacturer in a newsvendor framework. The returns policy applies both for the unsold merchandise left at the end of the selling season and the items returned by the unsatisfied customers within the specified time period. With a returns policy, the manufacturer shares the risks of demand uncertainty, in turn assuaged by the availability of secondary market. The manufacturer’s decision is to arrive at an optimal wholesale price and the returns policy, based on the retailer’s reaction on that offer. The retailer in turn optimizes the retail price and the order quantity to meet a price-dependent uncertain demand. This set of optimal policies has then been contrasted to that obtained from maximizing the combined profit of the manufacturer and of the retailer. The key question in the comparison has been clearly answered. The total combined profit that coordinates the policies of both channels exceeds that of the sum of the profits obtained independently.
Similar content being viewed by others
References
Arcelus FJ, Kumar S, Srinivasan G (2005) Retailer’s Response to Alternate Manufacturer’s Incentives under a Single Period, Price-Dependent-Stochastic-Demand Framework. Decis Sci 36: 599–626
Arcelus FJ, Kumar S, Srinivasan G (2008) Evaluating Manufacturer’s Buyback Policies in a Single-Period Two-Echelon Framework under Price-Dependent Stochastic Demand. Omega 36: 808–824
Arcelus FJ, Rowcroft JE (1992) All-Units Quantity-Freight Discounts with Disposals. Eur J Oper Res 57: 77–88
Arcelus FJ, Srinivasan G (1987) Inventory policies under various optimizing criteria and variable markup rates. Manag Sci 33: 756–762
Aydin G, Porteus EL (2009) Manufacturer-to-retailer versus manufacturer-to-consumer rebates in a supply chain. In: Agrawal N, Smith S (eds) Retail supply chain management. Kluwer, London
Bayindir ZP, Dekker R, Porras E (2006) Determination of recovery effort for a probabilistic recovery system under various inventory control policies. Omega 34: 571–584
Blackburn JD, Guide VDR Jr, Souza GC, Van Wassenhove LN (2004) Reverse Supply Chains for Commercial Returns. Calif Manag Rev 46: 6–22
Bose I, Anand P (2006) On returns policy with exogenous price. Eur J Oper Res 178: 782–788
Bresnahan TF, Reiss P (1985) Dealer and manufacturing margins. Rand J Econ 16: 253–268
Cachon GP (2004) Supply chain coordination with contracts. In: de Kok AG, Graves SC (eds) Supply chain management: design, coordination and operation, handbook of operations research and management science, vol 11. Elsevier, Amsterdam, pp 229–339
Cachon GP, Lariviere M (2005) Supply chain coordination with revenue sharing contracts: strengths and limitations. Manag Sci 51: 30–44
Chan LMA, Shen ZJM, Simchi-Levi D, Swan JL (2004) Coordination of pricing and inventory decisions: a survey nd classification. In: Simchi-Levi D, Wu SD, Shen ZJM (eds) Handbook of quantitative supply chain analysis: modeling in the E-business era. Kluwer, Boston, pp 335–392
Chien YH, Chen JA (2008) Optimal spare order policy under a rebate warranty. Eur J Oper Res 186: 708–719
Chu WHJ (2005) Who should control inventory in a supply chain?. Eur J Oper Res 164: 158–172
Crook TR, Combs JG (2007) Sources and consequences of bargaining power in supply chains. J of Oper Manag 25: 546–555
de Brito MP, van der Laan EA (2009) Inventory control with product returns: The impact of imperfect information. Eur J Oper Res 194: 85–101
Emberson C, Storey J (2006) Buyer-supplier collaborative relationships: Beyond the normative accounts. J Purch Supply Manag 12: 236–245
Emmons H, Gilbert SM (1998) The role of returns policies in pricing and inventory decisions for catalogue goods. Manag Sci 44(2): 276–283
Ferrer G (2003) Yield information and supplier responsiveness in remanufacturing operations. Eur J Oper Res 149: 540–556
Granot D, Yin S (2007) On sequential commitment in the price-dependent newsvendor model. Eur J Oper Res 177: 1220–1234
Kandel E (1996) The right to return. J Law Econ 39: 329–356
Karade K, Ganesh J (1998) Who shops at factory outlets and why? An exploratory study. In: Grewal D, Pechman C (eds) American marketing association winter educator’s conference: marketing theory and applications, vol 9. AMA, Chicago
Keren B, Pliskin JS (2006) A benchmark solution for the risk-averse newsvendor problem. Eur J Oper Res 174: 1643–1650
Khouja M (1999) The single-period (news-vendor) problem: literature review and suggestions for future research. Omega 27: 537–553
Koulamas C (2006) A newsvendor problem with revenue sharing and channel coordination. Decis Sci 37: 91–100
Kouvelis P, Chambers C, Wang H (2006) Supply Chain Management Research and Production and Operations Management: Review, Trends and Opportunities. Prod Oper Manag 15: 449–469
Lariviere M (1999) Supply chain contracting and coordination with stochastic demand. In: Tayur SR, Ganeshan R, Magazine M (eds) Quantitative models for supply chain management. Kluwer, Dordrecht
Lariviere MA, Porteus EL (2001) Selling to a newsvendor: An analysis of price-only contracts. Manuf Serv Oper Manag 3: 293–305
Lau AHL, Lau HS (2003) Effects of demand-curve’s shape on optimal solutions of a multi-echelon inventory/pricing model. Eur J Oper Res 147: 530–548
Lee CC, Chu WHJ (2005) Who should control inventory in a supply chain?. Eur J Oper Res 164: 158–178
Lee CH (2001) Coordinated stocking, clearance sales and return policies for a supply chain. Eur J Oper Res 131: 491–513
Lee CH, Rhee BD (2007) Channel coordination using product returns for a supply chain with stochastic salvage capacity. Eur J Oper Res 177: 214–238
Li X, Wang Q (2007) Coordination mechanism of supply chain systems. Eur J Oper Res 179: 1–16
Liu Y, Fry MJ, Raturi AS (2006) Vertically restrictive pricing in supply chains with price-dependent demand. Nav Res Logist 53: 485–501
MATLAB: (2009) Optimization toolbox 4. The Mathworks, Inc, Natick
Mitra S (2009) Analysis of a two-echelon inventory system with returns. Omega 37: 106–115
Neslin SA (2002) Sales promotions. In: Weitz BA, Wensley R (eds) Handbook of marketing. Sage, London
Pasternack BA (1985) Optimal pricing and return policies for perishable commodities. Market Sci 4: 166–176
Petruzzi NC, Dada M (1999) Pricing and the newsboy problem: A review with extensions. Oper Res 47(2): 183–194
Prahinski C, Kocabasoglu C (2006) Empirical research opportunities in reverse supply chains. Omega 34: 519–553
Qin Y, Tang H, Guo C (2007) Channel coordination and volume discounts with a price-sensitive demand. Int J Prod Econ 105: 43–53
Rekik Y, Sabin E, Dallery Y (2007) A comprehensive analysis of the Newsvendor model with unreliable supply. OR Spect 29: 207–233
Sharmah SP, Acharya D, Goyal SP (2006) Buyer vendor coordination models in supply chain management. Eur J Oper Res 175: 1–15
Srivastava SK (2007) Green supply-chain management: A state-of-the-art literature review. Int J Manag Rev 9: 53–80
Strauss M (2007) Retailers’ bane proves boon to returns experts. Globe and Mail, 1/15/07, B1, B13
Taylor TA (2002) Supply chain coordination under channel rebates with sales effort effects. Manag Sci 47: 1220–1234
Tibben-Limbke RS (2004) Strategic use of secondary market for retail consumer goods. Calif Manag Rev 46: 90–104
Tsay A (1999) Quantity flexibility contract and supplier-customer incentives. Manag Sci 45: 1339–1358
Wang Q (2005) Discount pricing policies and the coordination of decentralized distribution systems. Decis Sci 36: 627–646
Wang Q, Tsao D (2006) Supply contract with bi-directional options: the buyer perspective. Int J Prod Econ 101: 30–52
Yao L, Chen Y, Yan H (2006) The newsvendor problem with pricing: extensions. Int J Manag Sci and Eng Manag 1: 3–16
Yao Z, Leung CH, Lai KK (2008) Manufacturer’s revenue-sharing contract and retail competition. Eur J Oper Res 186: 637–651
Yugang Y, Liang L, Huang Q (2007) Leader-follower game in vendor-managed inventory system with limited production capacity considering wholesale and retail prices. Int J Logist Res Appl 9: 335–350
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Arcelus, F.J., Kumar, S. & Srinivasan, G. Channel coordination with manufacturer’s return policies within a newsvendor framework. 4OR-Q J Oper Res 9, 279–297 (2011). https://doi.org/10.1007/s10288-011-0160-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10288-011-0160-1
Keywords
- Supply chain management
- Channel coordination
- Newsvendor problem
- Price-dependent demand
- Buyback policy
- Secondary market