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Variational and quasi-variational inequalities in network flow models. Recent developments in theory and algorithms. (English) Zbl 0847.49010
Giannessi, F. (ed.) et al., Variational inequalities and network equilibrium problems. Proceedings of a conference, Erice, Italy, June 19-25, 1994. New York, NY: Plenum, 195-211 (1995).
Variational inequalities and quasi-variational inequalities are being used to study a wide class of problems arising in pure and applied sciences in a unified framework. In this informative and interesting paper, the author has given main achievements in developing the gap (merit) functions for variational inequalities and quasi-variational inequalities, which are used to suggest and analyze iterative algorithms. A comparison between the projection method and the direct method for solving traffic assignment problems is carried out. Sensitivity analysis is also discussed.
For the entire collection see [Zbl 0834.00044].
Reviewer: M.A.Noor (Riyadh)

MSC:
49J40 Variational inequalities
90B10 Deterministic network models in operations research
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90B80 Discrete location and assignment
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