Pricing, manufacturing and inventory policies for raw material in a three-level supply chain

We studied a decentralised three-layer supply chain including a supplier, a producer and some retailers. All the retailers order their demands to the producer and the producer order his demands to the supplier. We assumed that the demand is price sensitive and shortage is not permitted. The goal of the paper is to optimise the total cost of the supply chain network by coordinating decision-making policy using Stackelberg–Nash equilibrium. The decision variables of our model are the supplier's price, the producer's price and the number of shipments received by the supplier and producer, respectively. To illustrate the applicability of the proposed model numerical examples are presented.

[1]  Ahmad Makui,et al.  Strategic and Tactical Design of Competing Decentralized Supply Chain Networks with Risk-Averse Participants for Markets with Uncertain Demand , 2011 .

[2]  Gérard P. Cachon,et al.  Game Theory in Supply Chain Analysis , 2004 .

[3]  Z. K. Weng,et al.  Channel coordination and quantity discounts , 1995 .

[4]  James R. Freeland,et al.  Coordination Strategies for Production and Marketing in a Functionally Decentralized Firm , 1980 .

[5]  Yi-Chih Hsieh,et al.  Optimal ordering and pricing policy for an inventory system with trial periods , 2010 .

[6]  Wen-Chyuan Chiang,et al.  Game theoretic pricing and ordering decisions with partial lost sales in two-stage supply chains , 2011 .

[7]  Michael P. Wellman,et al.  Decentralized Supply Chain Formation: A Market Protocol and Competitive Equilibrium Analysis , 2003, J. Artif. Intell. Res..

[8]  Mohammad Reza Akbari Jokar,et al.  Optimizing shipment, ordering and pricing policies in a two-stage supply chain with price-sensitive demand , 2009 .

[9]  Kripasindhu Chaudhuri,et al.  Three stage trade credit policy in a three-layer supply chain–a production-inventory model , 2014, Int. J. Syst. Sci..

[10]  K. S. Chaudhuri,et al.  Three-layer supply chain - A production-inventory model for reworkable items , 2012, Appl. Math. Comput..

[11]  Hong Chen,et al.  Joint replenishment and pricing decisions in inventory systems with stochastically dependent supply capacity , 2008, Eur. J. Oper. Res..

[12]  R. Kohli,et al.  A cooperative game theory model of quantity discounts , 1989 .

[13]  G. Cai,et al.  Game theoretical perspectives on dual-channel supply chain competition with price discounts and pricing schemes , 2009 .

[14]  Vipul Agrawal,et al.  Dynamic balancing of inventory in supply chains , 2004, Eur. J. Oper. Res..

[15]  Roger M. Hill,et al.  The optimal production and shipment policy for the single-vendor singlebuyer integrated production-inventory problem , 1999 .

[16]  Stuart X. Zhu.  Joint pricing and inventory replenishment decisions with returns and expediting , 2012, Eur. J. Oper. Res..

[17]  George Q. Huang,et al.  Leader–follower game in vendor-managed inventory system with limited production capacity considering wholesale and retail prices , 2006 .

[18]  T. M. Whitin.  Inventory Control and Price Theory , 1955 .

[19]  Qiang Meng,et al.  Production , Manufacturing and Logistics Competitive facility location on decentralized supply chains , 2009 .

[20]  Prakash L. Abad,et al.  Optimal pricing and lot-sizing under conditions of perishability, finite production and partial backordering and lost sale , 2003, Eur. J. Oper. Res..

[21]  Alireza Ardalan.  Combined optimal price and optimal inventory replenishment policies when a sale results in increase in demand , 1991, Comput. Oper. Res..

[22]  Mohammed Ben‐Daya,et al.  An integrated production inventory model with raw material replenishment considerations in a three layer supply chain , 2013 .

[23]  Kit-Nam Francis Leung,et al.  A Generalized Algebraic Model for Optimizing Inventory Decisions in a Centralized or Decentralized Multi-Stage Multi-Firm Supply Chain , 2010 .

[24]  M. J. Rosenblatt,et al.  A generalized quantity discount pricing model to increase supplier's profits , 1986 .

[25]  M. Dada,et al.  Pricing policies for quantity discounts , 1987 .

[26]  A. Banerjee.  Note-On A Quantity Discount Pricing Model to Increase Vendor Profits , 1986 .

[27]  Wenyih Lee.  A joint economic lot size model for raw material ordering, manufacturing setup, and finished goods delivering , 2005 .

[28]  S. Sana,et al.  Multi-item EOQ model while demand is sales price and price break sensitive , 2012 .

[29]  Baoding Liu,et al.  Stackelberg-Nash equilibrium for multilevel programming with multiple followers using genetic algorithms , 1998 .

[30]  C. Dye.  Joint pricing and ordering policy for a deteriorating inventory with partial backlogging , 2007 .

[31]  G. Cai,et al.  Channel Selection and Coordination in Dual-Channel Supply Chains , 2010 .

[32]  S. Sana.  A collaborating inventory model in a supply chain , 2012 .

[33]  Shib Sankar Sana,et al.  A production-inventory model of imperfect quality products in a three-layer supply chain , 2011, Decis. Support Syst..

[34]  Janet Efstathiou,et al.  Production, Manufacturing and Logistics A game-theoretical cooperative mechanism design for a two-echelon decentralized supply chain , 2004 .

[35]  G. Gallego,et al.  Coordinating pricing and inventory replenishment policies for one wholesaler and one or more geographically dispersed retailers , 2002 .

[36]  S. Sana,et al.  A three layer multi-item production–inventory model for multiple suppliers and retailers , 2012 .

[37]  Shib Sankar Sana,et al.  Optimal replenishment order for uncertain demand in three layer supply chain , 2012 .

[38]  Feng Chu,et al.  A Stackelberg game and its improvement in a VMI system with a manufacturing vendor , 2009, Eur. J. Oper. Res..

[39]  Liang-Yuh Ouyang,et al.  Production , Manufacturing and Logistics Optimal pricing , shipment and payment policy for an integrated supplier – buyer inventory model with two-part trade credit , 2007 .

[40]  M. Khouja.  Optimizing inventory decisions in a multi-stage multi-customer supply chain , 2003 .

[41]  James P. Monahan.  A Quantity Discount Pricing Model to Increase Vendor Profits , 1984 .

[42]  Jan Fransoo,et al.  Cooperation between multiple news-vendors with transshipments , 2005, Eur. J. Oper. Res..

[43]  Panlop Zeephongsekul,et al.  A game theory approach in seller-buyer supply chain , 2009, Eur. J. Oper. Res..

[44]  Shib Sankar Sana,et al.  A multi-echelon supply chain model for reworkable items in multiple-markets with supply disruption , 2012 .

[45]  George Q. Huang,et al.  Coordinating pricing and inventory decisions in a multi-level supply chain: A game-theoretic approach , 2011 .

[46]  S. Sana.  Optimal contract strategies for two stage supply chain , 2013 .