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].

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 |