Operations Research Transactions ›› 2010, Vol. 14 ›› Issue (2): 79-86.
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LUO Wen-Chang
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Abstract: In a transportation network with users classified into two categories, the first category chooses the route according to user equilibrium(UE) principle and the second category chooses the route according to Logit-based stochastic user equilibrium(LSUE) principle. In this paper, a variational inequality is proposed to formulate the mixed equilibrium travel behavior associated with user equilibrium and Logit-based stochastic user equilibrium. Likewise, the upper bound of efficiency loss for the mixed equilibrium is described as a general formula. It is shown that the upper bound is related to the topological structure of networks, transportation demand and the demand ratio.
LUO Wen-Chang. Bounding the Efficiency Loss with Mixed Equilibrium Associated with User Equilibrium and Logit-Based[J]. Operations Research Transactions, 2010, 14(2): 79-86.
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https://www.ort.shu.edu.cn/EN/Y2010/V14/I2/79