Inventory and marketing policy in a supply chain of a perishable product

Abstract We investigate a two-echelon supply chain comprising a manufacturer and a retailer, who are engaged in a Stackelberg game in which they set the terms of a wholesale price contract for a perishable product. Product demand depends on the selling price, the investment in advertising, and the time a unit spends on the shelf before being sold. The investment in advertising can be made either by the manufacturer, by the retailer or in a cooperative manner. The parties apply an economic order quantity policy, where the cycle length is set endogenously by the leader of the supply chain. We model the decisions of the parties regarding pricing, advertising investment and cycle length, and we investigate how different power balances between the parties affect their decisions and other supply chain measures at equilibrium. In particular, we analyze two cases: manufacturer-leader and retailer-leader. For each one, equilibrium is obtained for two demand forms (one in which the effects of price and advertising on demand are additive, and one in which they are multiplicative). We find that for a given type of advertising investment (cooperative/non-cooperative) and a given cycle length, the variable profit of each party is determined only by that party's role in the game (leader/follower) and not by its identity (manufacturer/retailer). This result is valid for general formulations of the advertising cost function and of the demand. Interestingly, the type of advertising investment (cooperative/non-cooperative) depends on the sequence of decisions, where at equilibrium, the participation of each party in the advertising investment is determined only by its channel power.

[1]  Tatyana Chernonog,et al.  Dynamic pricing and promotion expenditures in an EOQ model of perishable products , 2017, Ann. Oper. Res..

[2]  Carrie M. Heilman,et al.  The Effect of Expiration Dates and Perceived Risk on Purchasing Behavior in Grocery Store Perishable Categories , 2005 .

[3]  Fuqiang Zhang,et al.  The Impact of Modular Assembly on Supply Chain Efficiency , 2013 .

[4]  Avi Herbon Should retailers hold a perishable product having different ages? The case of a homogeneous market and multiplicative demand model , 2017 .

[5]  Tatyana Chernonog,et al.  How to set price and quality in a supply chain of virtual products under bi-criteria and risk consideration , 2017, International Journal of Production Economics.

[6]  Qiying Hu,et al.  Interaction of after-sales service provider and contract type in a supply chain , 2017 .

[7]  Ruud H. Teunter,et al.  Review of inventory systems with deterioration since 2001 , 2012, Eur. J. Oper. Res..

[8]  Tatyana Chernonog,et al.  Mergers and acquisitions between risk-averse parties , 2017, Eur. J. Oper. Res..

[9]  Peter M. Kort,et al.  Advertising and Quality-Dependent Word-of-Mouth in a Contagion Sales Model , 2016, J. Optim. Theory Appl..

[10]  Aradhna Krishna,et al.  The Normative Impact of Consumer Price Expectations for Multiple Brands on Consumer Purchase Behavior , 1992 .

[11]  K. S. Mallikarjuna Rao,et al.  A note on inventory policies for products with residual-life-dependent demand , 2017 .

[12]  Itir Z. Karaesmen,et al.  Managing Perishable and Aging Inventories: Review and Future Research Directions , 2011 .

[13]  Ruihai Li,et al.  Pricing and lot-sizing decisions for perishable goods when demand depends on selling price, reference price, product freshness, and displayed stocks , 2018, Eur. J. Oper. Res..

[14]  Mohammed A. Darwish,et al.  Vendor managed inventory model for single-vendor multi-retailer supply chains , 2010, Eur. J. Oper. Res..

[15]  U. Spiegel,et al.  Optimal inventory policy for a perishable item with demand function sensitive to price and time , 2013 .

[16]  Udo Buscher,et al.  Cooperative advertising models in supply chain management: A review , 2014, Eur. J. Oper. Res..

[17]  Bogdan C. Bichescu,et al.  Equilibrium analysis of supply chain structures under power imbalance , 2011, Eur. J. Oper. Res..

[18]  Stefan Minner,et al.  A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time , 2015 .

[19]  K. Kogan,et al.  Equilibrium replenishment in a supply chain with a single distributor and multiple retailers , 2009 .

[20]  Tatyana Chernonog,et al.  On the multi-product newsvendor with bounded demand distributions , 2018, International Journal of Production Economics.

[21]  Hon-Shiang Lau,et al.  Effects of a demand-curve's shape on the optimal solutions of a multi-echelon inventory/pricing model , 2003, Eur. J. Oper. Res..

[22]  Stefan Minner,et al.  Order variability in perishable product supply chains , 2017, Eur. J. Oper. Res..

[23]  Stefan Minner,et al.  On the benefit of dual-sourcing in managing perishable inventory , 2018, International Journal of Production Economics.

[24]  Tal Avinadav,et al.  An EOQ Model for Items with a Fixed Shelf-Life and a declining Demand Rate Based on Time-to-expiry Technical Note , 2009, Asia Pac. J. Oper. Res..

[25]  Tatyana Chernonog,et al.  Pricing and advertising in a supply chain of perishable products under asymmetric information , 2017, International Journal of Production Economics.

[26]  A. Tsay,et al.  Advertising in Asymmetric Competing Supply Chains , 2013 .

[27]  Sujuan Wang,et al.  Contract type and decision right of sales promotion in supply chain management with a capital constrained retailer , 2015, Eur. J. Oper. Res..

[28]  I. N. Kamalabadi,et al.  Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand , 2012 .

[29]  A. Banerjee,et al.  A simulation study of lateral shipments in single supplier, multiple buyers supply chain networks , 2003 .

[30]  Desheng Dash Wu,et al.  Supply chain coordination through integration of innovation effort and advertising support , 2017 .

[31]  U. Buscher,et al.  Cooperative Advertising Models in Supply Chain Management: A Review , 2014 .

[32]  Luk N. Van Wassenhove,et al.  Closed - Loop Supply Chain Models with Product Remanufacturing , 2004, Manag. Sci..

[33]  John Fernie,et al.  OPTIMIZING ON‐SHELF AVAILABILITY FOR CUSTOMER SERVICE AND PROFIT , 2009 .

[34]  Tal Avinadav The effect of decision rights allocation on a supply chain of perishable products under a revenue-sharing contract , 2020 .

[35]  R. Uthayakumar,et al.  Optimal pricing and replenishment policies of an EOQ model for non-instantaneous deteriorating items with shortages , 2011 .

[36]  S. Sethi,et al.  Cooperative advertising and pricing in a dynamic stochastic supply chain: Feedback Stackelberg strategies , 2008, PICMET '08 - 2008 Portland International Conference on Management of Engineering & Technology.

[37]  Ting Qu,et al.  Extending analytical target cascading for optimal configuration of supply chains with alternative autonomous suppliers , 2008 .

[38]  Tsan-Ming Choi,et al.  Coordinating Supply Chains With a General Price-Dependent Demand Function: Impacts of Channel Leadership and Information Asymmetry , 2016, IEEE Transactions on Engineering Management.

[39]  David Alcaide López de Pablo,et al.  An inventory system with demand dependent on both time and price assuming backlogged shortages , 2018, Eur. J. Oper. Res..

[40]  Qiying Hu,et al.  Who should invest in cost reduction in supply chains? , 2019, International Journal of Production Economics.

[41]  P.-S. You,et al.  Inventory policy for products with price and time-dependent demands , 2005, J. Oper. Res. Soc..

[42]  Wansheng Tang,et al.  A joint dynamic pricing and advertising model of perishable products , 2015, J. Oper. Res. Soc..

[43]  Arthur F. Veinott,et al.  Analysis of Inventory Systems , 1963 .

[44]  Hon-Shiang Lau,et al.  Dollar vs. percentage markup pricing schemes under a dominant retailer , 2013, Eur. J. Oper. Res..

[45]  Kannan Govindan,et al.  A novel mathematical model for a multi-period, multi-product optimal ordering problem considering expiry dates in a FEFO system , 2016 .

[46]  Srinivasan Raghunathan,et al.  Retailer- vs. Vendor-Managed Inventory and Brand Competition , 2004, Manag. Sci..

[47]  Avi Herbon,et al.  Optimal ordering and pricing policy for demand functions that are separable into price and inventory age , 2014 .

[48]  Ravi Subramanian,et al.  Sharing Responsibility for Product Recovery Across the Supply Chain , 2012 .

[49]  Eunkyu Lee,et al.  Asymmetric relationships with symmetric suppliers: Strategic choice of supply chain price leadership in a competitive market , 2017, Eur. J. Oper. Res..

[50]  Steven Nahmias,et al.  Perishable Inventory Theory: A Review , 1982, Oper. Res..

[51]  Hon-Shiang Lau,et al.  Usefulness of resale price maintenance under different levels of sales-effort cost and system-parameter uncertainties , 2010, Eur. J. Oper. Res..

[52]  Mohsen Gharakhani,et al.  A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chains , 2011, Eur. J. Oper. Res..

[53]  Luk N. Van Wassenhove,et al.  Reverse Channel Design: The Case of Competing Retailers , 2006, Manag. Sci..

[54]  Peter M. Kort,et al.  Autonomous and advertising-dependent 'word of mouth' under costly dynamic pricing , 2016, Eur. J. Oper. Res..

[55]  Yu-Chung Tsao,et al.  Dynamic pricing, promotion and replenishment policies for a deteriorating item under permissible delay in payments , 2008, Comput. Oper. Res..

[56]  Stefan Minner,et al.  Stock-level dependent ordering of perishables: A comparison of hybrid base-stock and constant order policies , 2016 .

[57]  Udo Buscher,et al.  Vertical cooperative advertising and pricing decisions in a manufacturer-retailer supply chain: A game-theoretic approach , 2012, Eur. J. Oper. Res..

[58]  Daewon Sun,et al.  Impact of supply chain power and drop-shipping on a manufacturer's optimal distribution channel strategy , 2017, Eur. J. Oper. Res..

[59]  E. Gal‐Or,et al.  First Mover and Second Mover Advantages , 1985 .

[60]  Yongjian Li,et al.  Channel leadership, performance and coordination in closed loop supply chains , 2013 .

[61]  L. Cárdenas-Barrón,et al.  Multi-item EOQ inventory model in a two-layer supply chain while demand varies with promotional effort , 2015 .

[62]  Zhixiang Chen Optimization of production inventory with pricing and promotion effort for a single-vendor multi-buyer system of perishable products , 2018, International Journal of Production Economics.

[63]  L. Cárdenas-Barrón,et al.  Pricing and lot-sizing polices for perishable goods when the demand depends on selling price, displayed stocks, and expiration date , 2017 .

[64]  Yves Dallery,et al.  Assessing the impact of perishability and the use of time temperature technologies on inventory management , 2013 .

[65]  Yongjian Li,et al.  Cooperative advertising models in O2O supply chains , 2017, International Journal of Production Economics.

[66]  Jennifer Shang,et al.  Contract design for two-stage supply chain coordination: Integrating manufacturer-quality and retailer-marketing efforts , 2013 .

[67]  Yael Perlman,et al.  Analysis of protection and pricing strategies for digital products under uncertain demand , 2014 .

[68]  C. V. Balan,et al.  An order-level lot size inventory model with inventory-level dependent demand and deterioration , 1997 .

[69]  Zhixiang Chen Reprint of “Optimization of production inventory with pricing and promotion effort for a single-vendor multi-buyer system of perishable products” , 2019, International Journal of Production Economics.

[70]  Tatyana Chernonog,et al.  Pricing and sales-effort investment under bi-criteria in a supply chain of virtual products involving risk , 2015, Eur. J. Oper. Res..

[71]  Edieal J. Pinker,et al.  An EOQ model for perishable goods with age-dependent demand rate , 2017, Eur. J. Oper. Res..

[72]  A. Tsay The Quantity Flexibility Contract and Supplier-Customer Incentives , 1999 .