Multiperiod supply chain network equilibrium model with electronic commerce and multicriteria decision-making

In this paper, we develop a supply chain network equilibrium model in which electronic commerce in the presence of both B2B (business-to-business) and B2C (business-to-consumer) transactions, multiperiod decision-making and multicriteria decision-making are integrated. The model consists of three tiers of decision-makers (manufacturers, retailers and consumers at demand markets) who compete within a tier but may cooperate between tiers. Both manufacturers and retailers are concerned with maximization of profit as well as minimization of risk, whereas consumers take both the prices charged by manufacturers and retailers, along with the corresponding costs of transacting, in making their consumption decisions. Increasing relationship levels are assumed to decrease costs of transacting as well as risk costs. Establishing and maintaining these relationship levels incur some costs that have to be borne by the various decision-makers. We study the interaction among different tiers of decision-makers, describe their multicriteria decision-making behavior and derive the optimality conditions as well as the equilibrium conditions which are then shown to satisfy a finite-dimensional variational inequality problem. We then establish qualitative properties of the equilibrium model under some reasonable assumptions and illustrate the model with several numerical examples.

[1]  Anna Nagurney,et al.  Supply chain supernetworks and environmental criteria , 2003 .

[2]  Anna Nagurney,et al.  Supernetworks: Decision-Making for the Information Age , 2002 .

[3]  Anna Nagurney,et al.  Dynamic supernetworks for the integration of social networks and supply chains with electronic commerce: modeling and analysis of buyer–seller relationships with computations , 2004 .

[4]  Anna Nagurney,et al.  The Evolution and Emergence of Integrated Social and Financial Networks with Electronic Transactions: A Dynamic Supernetwork Theory for the Modeling, Analysis, and Computation of Financial Flows and Relationship Levels , 2004 .

[5]  Patrick Beullens,et al.  Closed-loop supply chain network equilibrium under legislation , 2007, Eur. J. Oper. Res..

[6]  Anna Nagurney,et al.  A general dynamic spatial price equilibrium model: formulation, solution, and computational results , 1988 .

[7]  Andreas Norrman,et al.  Ericsson’s Proactive Supply Chain Risk Management-approach After a Serious Supplier Accident , 2004 .

[8]  Anna Nagurney,et al.  Multiperiod competitive supply chain networks with inventorying and a transportation network equilibrium reformulation , 2012 .

[9]  M. E. Johnson,et al.  Learning from Toys: Lessons in Managing Supply Chain Risk from the Toy Industry , 2001 .

[10]  A. Nagurney,et al.  Supply Chain Networks and Electronic Commerce: A Theoretical Perspective , 2002 .

[11]  Anna Nagurney,et al.  Sustainable supply chain network design: a multicriteria perspective , 2010 .

[12]  Theodor J. Stewart,et al.  Trends in Multicriteria Decision Making , 1998 .

[13]  A. Nagurney,et al.  A supply chain network equilibrium model , 2002 .

[14]  M. Christopher,et al.  Supply chain risk management: outlining an agenda for future research , 2003 .

[15]  Fernando Bernstein,et al.  Pricing and Replenishment Strategies in a Distribution System with Competing Retailers , 2003, Oper. Res..

[16]  Anna Nagurney,et al.  A MULTICLASS, MULTICRITERIA TRAFFIC NETWORK EQUILIBRIUM MODEL WITH ELASTIC DEMAND , 2002 .

[17]  Anna Nagurney,et al.  A multiclass, multicriteria traffic network equilibrium model , 2000 .

[18]  Georgia Perakis,et al.  Competitive Multi-period Pricing for Perishable Products: A Robust Optimization Approach , 2006, Math. Program..

[19]  O. Williamson Transaction-Cost Economics: The Governance of Contractual Relations , 1979, The Journal of Law and Economics.

[20]  Jose M. Cruz,et al.  Dynamics of supply chain networks with corporate social responsibility through integrated environmental decision-making , 2008, Eur. J. Oper. Res..

[21]  R. Coase The Nature of the Firm , 1937 .

[22]  Daniel F. Spulber,et al.  Business-to-Business Electronic Commerce , 2001 .