Maximizing profit in a supply chain by considering advertising and price elasticity of demand

Abstract A three-level supply chain, including manufacturers, distribution centers and customer zones is assessed in this article. The objective is to maximize the gross profit without violating the operational constraints and capacities of production and inventory. Gross profit is achieved by subtracting costs from the final revenue. Different sources of cost related to raw materials, transportation, production and advertising are addressed. The final demand for a product depends on its price and advertising expenditures. Three solution methods of a mathematical model, a harmony search algorithm and a new combined algorithm of both are proposed for the problem. The mathematical model is of type mixed integer quadratically constrained quadratic programming and its characteristics are analyzed. The experimental results reveal that, statistically speaking, the proposed heuristic algorithms converge into optimal solution with gaps of less than 2 percent. A comprehensive sensitivity analysis is run on price and advertising elasticity coefficients, manufacturers and distribution centers' capacity, base demand and unit transportation cost.

[1]  Lorenz T. Biegler,et al.  Optimization of Supply Chain Systems with Price Elasticity of Demand , 2011, INFORMS J. Comput..

[2]  Jiang Zhang,et al.  Pricing and two-tier advertising with one manufacturer and one retailer , 2009, Eur. J. Oper. Res..

[3]  Tsung-Hui Chen,et al.  Effects of the pricing and cooperative advertising policies in a two-echelon dual-channel supply chain , 2015, Comput. Ind. Eng..

[4]  Gerhard Aust,et al.  Vertical Cooperative Advertising in Supply Chain Management , 2015 .

[5]  R. A. Inman,et al.  Aligning marketing strategies throughout the supply chain to enhance performance , 2012 .

[6]  Masakazu Kojima,et al.  Exact Solutions of Some Nonconvex Quadratic Optimization Problems via SDP and SOCP Relaxations , 2003, Comput. Optim. Appl..

[7]  S. H. Zegordi,et al.  Application of multidivisional bi-level programming to coordinate pricing and inventory decisions in a multiproduct competitive supply chain , 2014 .

[8]  Jennifer Shang,et al.  Supply chain channel strategies with quality and marketing effort-dependent demand , 2013 .

[9]  B. C. Giri,et al.  Manufacturer's pricing strategies in cooperative and non-cooperative advertising supply chain under retail competition , 2014 .

[10]  Clare Brindley,et al.  Aligning the sustainable supply chain to green marketing needs: A case study , 2014 .

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

[12]  Zhimin Huang,et al.  Supply chain coordination through cooperative advertising with reference price effect , 2013 .

[13]  B. Li,et al.  Pricing policies of a competitive dual-channel green supply chain , 2016 .

[14]  W. Nicholson.  Microeconomic theory: basic principles and extensions , 1972 .

[15]  M. Seifbarghy,et al.  Contract design in a supply chain considering price and quality dependent demand with customer segmentation , 2015 .

[16]  T. Banyai.  Optimisation of a Multi-Product Green Supply Chain Model with Harmony Search , 2011 .

[17]  Jinxing Xie,et al.  Co-op advertising and pricing models in manufacturer-retailer supply chains , 2009, Comput. Ind. Eng..

[18]  Min-Chiang Wang,et al.  Coordination of cooperative advertising in a two-level supply chain when manufacturer offers discount , 2006, Eur. J. Oper. Res..

[19]  S. H. Amin,et al.  Cooperative advertising in a supply chain with retail competition , 2015 .

[20]  Xianpei Hong,et al.  Joint advertising, pricing and collection decisions in a closed-loop supply chain , 2015 .

[21]  Shaofeng Liu,et al.  A hub-and-spoke model for multi-dimensional integration of green marketing and sustainable supply chain management , 2012 .

[22]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[23]  Liying Li,et al.  Coordinating a Supply Chain with Price and Advertisement Dependent Stochastic Demand , 2013, TheScientificWorldJournal.

[24]  Bradley Z. Hull,et al.  The role of elasticity in supply chain performance , 2005 .

[25]  S. Alaei,et al.  A Hybrid Cultural-Harmony Algorithm for Multi-Objective Supply Chain Coordination , 2015 .

[26]  Antonio Espuña Camarasa,et al.  Simultaneous optimization of process operations and financial decisions to enhance the integrated planning/scheduling of chemical supply chains , 2006, Comput. Chem. Eng..

[27]  J. Simon.  The shape of the advertising response function , 1980 .

[28]  Tsung-Hui Chen,et al.  On the impact of cooperative advertising and pricing for a manufacturer-retailer supply chain , 2014 .

[29]  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..

[30]  Jeannette A. Mena,et al.  The Role of Marketing Channels in Supply Chain Management , 2015 .

[31]  Wing-Keung Wong,et al.  A hybrid intelligent model for medium-term sales forecasting in fashion retail supply chains using extreme learning machine and harmony search algorithm , 2010 .

[32]  Jinxing Xie,et al.  Coordinating advertising and pricing in a manufacturer-retailer channel , 2009, Eur. J. Oper. Res..

[33]  Ata Allah Taleizadeh,et al.  Multiple-buyer multiple-vendor multi-product multi-constraint supply chain problem with stochastic demand and variable lead-time: A harmony search algorithm , 2011, Appl. Math. Comput..