{"title":"连续运输系统中多类用户平衡问题解的存在唯一性","authors":"H. Ho, S. C. Wong, T. D. Hau","doi":"10.1080/18128600708685671","DOIUrl":null,"url":null,"abstract":"Consider a city with several facilities competing for multi-class users that are distributed continuously over space. Within the city region, the road network is relatively dense and is considered as a continuum. The demand distribution function is formulated as a logit-type function for modeling the probabilistic choice behavior of facilities for different classes of users. A minimization problem that describes this multi-class and multi-facility choice is set up for finding the user equilibrium flow pattern. This paper aims to study the existence and uniqueness of a solution of this multi-class and multi-facility user equilibrium problem with demand distribution. The assumptions and conditions for the existence and uniqueness of solution are given.","PeriodicalId":49416,"journal":{"name":"Transportmetrica","volume":"3 1","pages":"107 - 117"},"PeriodicalIF":0.0000,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/18128600708685671","citationCount":"16","resultStr":"{\"title\":\"EXISTENCE AND UNIQUENESS OF A SOLUTION FOR THE MULTI-CLASS USER EQUILIBRIUM PROBLEM IN A CONTINUUM TRANSPORTATION SYSTEM\",\"authors\":\"H. Ho, S. C. Wong, T. D. Hau\",\"doi\":\"10.1080/18128600708685671\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Consider a city with several facilities competing for multi-class users that are distributed continuously over space. Within the city region, the road network is relatively dense and is considered as a continuum. The demand distribution function is formulated as a logit-type function for modeling the probabilistic choice behavior of facilities for different classes of users. A minimization problem that describes this multi-class and multi-facility choice is set up for finding the user equilibrium flow pattern. This paper aims to study the existence and uniqueness of a solution of this multi-class and multi-facility user equilibrium problem with demand distribution. The assumptions and conditions for the existence and uniqueness of solution are given.\",\"PeriodicalId\":49416,\"journal\":{\"name\":\"Transportmetrica\",\"volume\":\"3 1\",\"pages\":\"107 - 117\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/18128600708685671\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transportmetrica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/18128600708685671\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transportmetrica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/18128600708685671","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
EXISTENCE AND UNIQUENESS OF A SOLUTION FOR THE MULTI-CLASS USER EQUILIBRIUM PROBLEM IN A CONTINUUM TRANSPORTATION SYSTEM
Consider a city with several facilities competing for multi-class users that are distributed continuously over space. Within the city region, the road network is relatively dense and is considered as a continuum. The demand distribution function is formulated as a logit-type function for modeling the probabilistic choice behavior of facilities for different classes of users. A minimization problem that describes this multi-class and multi-facility choice is set up for finding the user equilibrium flow pattern. This paper aims to study the existence and uniqueness of a solution of this multi-class and multi-facility user equilibrium problem with demand distribution. The assumptions and conditions for the existence and uniqueness of solution are given.
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