Location and Design of Urban Facilities considering Competitors’ Responses: A Case Study of Putuo District, Shanghai
Joint Authors
Lai, Zhizhu
Yan, Ge
Chen, Yulong
Wang, Zheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In view of the problem of competitive facility location in urban planning, the response of competitors to the new facility is considered.
We use Huff’s probability model to describe the market share of all facilities which depends on its service quality and its distance from customers.
To maximize the market share of facilities, a two-stage method (quality decision stage and location decision stage) is adopted, which takes into account the responses of competitors.
In the stage of quality decision, the competitive decision-making process is simulated as a game process and solved by Nash equilibrium.
The solution of the quality decision process can be expressed as a function of the new facility’s location which can be obtained by polynomial approximation.
In the location decision stage, we apply the interval analysis based on branch and bound algorithm to determine the optimal location of new facility.
Then, we use the randomly generated numerical experiment to verify the effectiveness of the model and algorithm.
Finally, we apply this model and algorithm to the location of a new shopping mall in Putuo district, Shanghai.
American Psychological Association (APA)
Lai, Zhizhu& Yan, Ge& Chen, Yulong& Wang, Zheng. 2020. Location and Design of Urban Facilities considering Competitors’ Responses: A Case Study of Putuo District, Shanghai. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1197271
Modern Language Association (MLA)
Lai, Zhizhu…[et al.]. Location and Design of Urban Facilities considering Competitors’ Responses: A Case Study of Putuo District, Shanghai. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1197271
American Medical Association (AMA)
Lai, Zhizhu& Yan, Ge& Chen, Yulong& Wang, Zheng. Location and Design of Urban Facilities considering Competitors’ Responses: A Case Study of Putuo District, Shanghai. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1197271
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197271