Strict efficiency of a multi-product supply-demand network equilibrium model. (English) Zbl 1476.90298
Summary: In this paper, we consider a kind of proper efficiency, namely strict efficiency, of a multi-product supply-demand network equilibrium model. We prove that strict equilibrium pattern flows with both a single criterion and multiple criteria are equivalent to vector variational inequalities. In the case of multiple criteria, we provide necessary and sufficient conditions for strict efficiency in terms of vector variational inequalities by using Gerstewitz’s function without any convexity assumptions.
MSC:
| 90C29 | Multi-objective and goal programming |
| 90C35 | Programming involving graphs or networks |
| 90B06 | Transportation, logistics and supply chain management |
| 90B10 | Deterministic network models in operations research |
Keywords:
strict efficiency; network equilibrium; strict equilibrium pattern flow; vector variational inequality; Gerstewitz’s functionReferences:
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