Statics and Dynamics of Global Supply Chain Networks with Environmental Decision-Making

In this paper, we develop static and dynamic models of global supply chains as networks with three tiers of decision-makers: manufacturers, retailers, and consumers associated with the demand markets, who compete within a tier but cooperate between tiers. The decision-makers may be based in the same or in different countries, may transact in different currencies, and are faced with different degrees of environmental concern. Moreover, we allow for electronic transactions in the form of electronic commerce between the decisionmakers. The proposed supernetwork framework formalizes the modeling and theoretical analysis of such global supply chains, and also enables the dynamic tracking of the evolution of the associated prices and product transactions (as well as the emissions) to the equilibrium state. Moreover, it measures the impacts on the environment associated with the behaviors of the decision-makers. Finally, we propose a discrete-time algorithm which allows for the discretization of the continuous time trajectories and which results in closed form expressions at each iteration