학술논문

The maximum expected flow interception problem in a competitive environment / 競合環境下における介在機会モデルを用いたフロー捕捉型配置問題
Document Type
Journal Article
Source
都市計画論文集 / Journal of the City Planning Institute of Japan. 2021, 56(3):539
Subject
Flow interception problem
competitive environment
integer programming problem
probabilistic interception
フロー捕捉型配置問題
整数計画問題
施設間の競合
確率的捕捉
Language
Japanese
ISSN
0916-0647
2185-0593
Abstract
We focus on facility location for a new entrant in an area where competitors have their own facilities. We assume that each traveler probabilistically uses a facility on the preplanned travel path, and propose the model that maximizes the expected number of travelers who use a facility of a decision maker. The expected number of facility users depends on the number of facilities passing through before intercepted at a facility. An integer programming formulation of the model incorporating this structure is presented. We apply the model to an example network, and analyze optimal solutions. The results show that new facilities tend to be located at nodes in which they can obtain a large amount of flows from competitors when interception probability is high. We also show that a greedy heuristic method performs well.

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