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ATIS下多用戶混合均衡相對(duì)于隨機(jī)社會(huì)最優(yōu)的效率損失

發(fā)布時(shí)間:2018-05-06 05:33

  本文選題:ATIS + 道路收費(fèi); 參考:《系統(tǒng)科學(xué)與數(shù)學(xué)》2017年03期


【摘要】:在ATIS與道路收費(fèi)共同作用的交通網(wǎng)絡(luò)中,用戶不僅在接受的交通信息上具有異質(zhì)性,同時(shí)在時(shí)間價(jià)值上也具有異質(zhì)性.文章基于這兩類異質(zhì)性,將用戶分為安裝ATIS并遵從信息、安裝但不遵從、不安裝的三類用戶,所有用戶均按照隨機(jī)用戶均衡的方式進(jìn)行擇路.文章構(gòu)建了多用戶隨機(jī)均衡模型及其等價(jià)的變分不等式,并以用戶感知總成本作為系統(tǒng)性能指標(biāo),分別建立了時(shí)間準(zhǔn)則與費(fèi)用準(zhǔn)則下多用戶隨機(jī)社會(huì)最優(yōu)模型.當(dāng)收費(fèi)不作為總成本的一部分時(shí),研究了多用戶均衡相對(duì)于隨機(jī)社會(huì)最優(yōu)的絕對(duì)效率損失問(wèn)題.研究結(jié)論表明,無(wú)論采用何種度量準(zhǔn)則,絕對(duì)效率損失上界與路段特性函數(shù)、出行者的社會(huì)經(jīng)濟(jì)特性、道路收費(fèi)以及兩準(zhǔn)則下多用戶均衡與隨機(jī)社會(huì)最優(yōu)時(shí)系統(tǒng)實(shí)際總出行成本均有關(guān).
[Abstract]:In the traffic network where ATIS and road pricing work together, users have heterogeneity not only in the traffic information they receive, but also in the value of time. Based on these two kinds of heterogeneity, the users are divided into three categories: installing ATIS and complying with information, installing but not complying with, and not installing. All users choose the way according to random user equilibrium. In this paper, the multiuser stochastic equilibrium model and its equivalent variational inequality are constructed, and taking the total user perceived cost as the system performance index, the multi-user stochastic social optimal model under the time criterion and the cost criterion is established, respectively. When the charge is not a part of the total cost, the absolute efficiency loss of the multi-user equilibrium relative to the stochastic society is studied. The results show that, no matter what measurement criterion is adopted, the upper bound of absolute efficiency loss and the road section characteristic function, the social and economic characteristics of the traveler, Road pricing and multi-user equilibrium under the two criteria are related to the actual total travel cost of the system when the stochastic society is optimal.
【作者單位】: 安徽大學(xué)管理學(xué)院;南京大學(xué)工程管理學(xué)院;
【基金】:國(guó)家自然科學(xué)基金(71271112,71371094,71471084,71671087)資助課題
【分類號(hào)】:O224

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