Existence and generic stability of solutions for multiclass multicriteria traffic equilibrium problems with capacity constraints of arcs

ABSTRACT

In this paper, we introduce the multiclass multicriteria traffic equilibrium problem with capacity constraints of arcs and its equilibrium principle. Using Fan–Browder's fixed points theorem and Fort's lemma to prove the existence and generic stability results of multiclass multicriteria traffic equilibrium flows with capacity constraints of arcs.

KEYWORDS:

• Multiclass multicriteria traffic equilibrium problem with capacity constraints of arcs
• capacity of arc
• passenger car equivalent
• existence
• generic stability

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 49J40
• 49J53
• 90B20

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Zhi Lin http://orcid.org/0000-0002-0415-7449

Additional information

Funding

The first author was partially supported by the National Natural Science Foundation of China (grant no. 11271389) and the University Innovate Team Development Plan Foundation of Chongqing (grant no. CXTDX201601022). This third author was partially supported by the National Natural Science Foundation of China (11301571), the Basic and Advanced Research Project of Chongqing (cstc2018jcyjAX0337), the open project funded by the Chongqing Key Lab on ORSE (CSSXKFKTZ201801), the Education Committee Project Foundation of Chongqing for Bayu scholar ‘Distinguished Professor’ and the Research Project of Chongqing Jiao Tong University (2018PY21, 2019S0123).