QUASI-VARIATIONAL INEQUALITIES IN TRANSPORTATION NETWORKS

Laura Rosa Maria Scrimali

34 citations0/0 files storedMathematical Models and Methods in Applied Sciences

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Transportation Planning and Optimization Traffic control and management Optimization and Variational Analysis

Abstract

This paper aims to consider user equilibrium problems in transportation networks in the most complete and realistic situations. In fact, the presented model allows for the dependence of data on time, the presence of elastic travel demands, the capacity restrictions and delay effects. The equilibrium conditions for such a model are given and the equivalent formulation in terms of a quasi-variational inequality is discussed. Moreover, a theorem for the existence of solutions is shown and a numerical example is provided. Finally, some questions of stability are studied.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 34 citations exist upstream.

References

1957Studies in the Economics of Transportation.1994Network economics: a variational inequality approach 1993A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem 1999Time-Dependent Traffic Equilibria 2003Quasi-variational inequality formulation of the multiclass dynamic traffic assignment problem

Cited by

2010Evolutionary variational inequalities and applications to complex dynamic multi-level models

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.