Supply chain network equilibrium model and its equivalent supernetwork based model: Complementarity formulations and comparisons

This paper studies an equivalent traffic network equilibrium model with elastic demands for supply chain network equilibrium model. The equivalent model is formulated as a nonlinear complementarity problem. A Levenberg-Marquardt-type method was used to solve this problem. Numerical example demonstrates that the method can solve the equivalent traffic network equilibrium model more efficient than to solve the supply chain network equilibrium model.