Multicriteria Traffic Network Equilibrium Problems And A Supply Chain Network Model

In this paper, a new multicriteria transportation network equilibrium model and a multicriteria supply chain network model are established, the relationes between generalized (weak) vector equilibrium flows and the solutions for (weak) vector variational inequalities, (weak) h-equilibrium flows and generalized (weak) vector equilibrium flows, (weak) equilibrium solutions and scalarization solutions are studied.Firstly, a multicriteria generalized transportation network model with capacity constraints, in which there may be some paths containing a same arc, is established. A generalized (weak) vector equilibrium principle is introduced, and a sufficient condition for a generalized (weak) vector equilibrium flow to be a solution for a (weak) vector variational inequality problem is obtained.Secondly, we introduce the scalarization functionalsξea and he a in the references [32, 40], respectively. We investigate the relation ofξea and he a, and get the property of the scalarization functional he a following the property ofξea in [18]. The (weak) h ?equilibrium principles are given by virtue of the scalarization functional he a. Furthermore, an equivalent relation between a weak h ?equilibrium flow and a generalized weak vector equilibrium flow is investigated, and an equivalent relation a generalized vector equilibrium flow and a h ?equilibrium flow is also studied.Finally, we establish a multicriteria supply chain network model, introduce the definition of scalarization solution and (weak) equilibrium solution. Furthermore, we study the relations among scalarization solution, weak equilibrium solution and equilibrium solution.