Traffic Network Equilibrium Problems with Capacity Constraints of Arcs and Linear Scalarization Methods
Keyword(s):
Traffic network equilibrium problems with capacity constraints of arcs are studied. A (weak) vector equilibrium principle with vector-valued cost functions, which are different from the ones in the work of Lin (2010), and three kinds of parametric equilibrium flows are introduced. Some necessary and sufficient conditions for a (weak) vector equilibrium flow to be a parametric equilibrium flow are derived. Relationships between a parametric equilibrium flow and a solution of a scalar variational inequality problem are also discussed. Some examples are given to illustrate our results.
2018 ◽
Vol 61
(11)
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pp. 1642-1653
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2010 ◽
Vol 11
(5)
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pp. 4248-4253
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2009 ◽
Vol 81
(1)
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pp. 85-95
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2012 ◽
Vol 48
(3)
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pp. 567-577
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2014 ◽
Vol 93
(10)
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pp. 2199-2210
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2015 ◽
Vol 32
(2)
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pp. 213
Keyword(s):