Mixed integer linear programming approaches for land use planning that limit urban sprawl

•A mixed integer programming model is proposed for land use optimization.•The mixed integer programming model maximizes suitability as well as manage sprawl.•Benders’ decomposition is employed to solve large-scale quadratic MIP.•Results are presented for a case study for Leander, Texas.•Relationship...

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Published inComputers & industrial engineering Vol. 102; pp. 33 - 43
Main Authors Kumar, Piyush, Rosenberger, Jay M., Iqbal, Gazi Md Daud
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2016
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ISSN0360-8352
DOI10.1016/j.cie.2016.10.007

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Abstract •A mixed integer programming model is proposed for land use optimization.•The mixed integer programming model maximizes suitability as well as manage sprawl.•Benders’ decomposition is employed to solve large-scale quadratic MIP.•Results are presented for a case study for Leander, Texas.•Relationships between factors that affect sprawl and land suitability are analyzed. Sprawl has a detrimental effect on quality of life and the environment. With dwindling resources and increasing populations, we must manage sprawl. Ewing et al. (2000) defined factors to measure sprawl in the present urban structure. The measures are divided into four broad categories, which are density factors, mixed use factors, street factors, and center factors, and can be used in future planning of metro areas. In this research, we develop a mixed integer programming model to optimize land usage subject to sprawl constraints, which are based upon the aforementioned sprawl measures. Due to the large size of the problem, we employ a combination of heuristics and Benders’ decomposition similar to one described by Bazaraa and Sherali (1982) to provide an urban planner with suitable land use assignments. We show examples demonstrating how the planner can use this approach to analyze how various factors that affect land use and sprawl measures. Finally, we discuss topics of future research.
AbstractList Sprawl has a detrimental effect on quality of life and the environment. With dwindling resources and increasing populations, we must manage sprawl. Ewing et al. (2000) defined factors to measure sprawl in the present urban structure. The measures are divided into four broad categories, which are density factors, mixed use factors, street factors, and center factors, and can be used in future planning of metro areas. In this research, we develop a mixed integer programming model to optimize land usage subject to sprawl constraints, which are based upon the aforementioned sprawl measures. Due to the large size of the problem, we employ a combination of heuristics and Benders' decomposition similar to one described by Bazaraa and Sherali (1982) to provide an urban planner with suitable land use assignments. We show examples demonstrating how the planner can use this approach to analyze how various factors that affect land use and sprawl measures. Finally, we discuss topics of future research.
•A mixed integer programming model is proposed for land use optimization.•The mixed integer programming model maximizes suitability as well as manage sprawl.•Benders’ decomposition is employed to solve large-scale quadratic MIP.•Results are presented for a case study for Leander, Texas.•Relationships between factors that affect sprawl and land suitability are analyzed. Sprawl has a detrimental effect on quality of life and the environment. With dwindling resources and increasing populations, we must manage sprawl. Ewing et al. (2000) defined factors to measure sprawl in the present urban structure. The measures are divided into four broad categories, which are density factors, mixed use factors, street factors, and center factors, and can be used in future planning of metro areas. In this research, we develop a mixed integer programming model to optimize land usage subject to sprawl constraints, which are based upon the aforementioned sprawl measures. Due to the large size of the problem, we employ a combination of heuristics and Benders’ decomposition similar to one described by Bazaraa and Sherali (1982) to provide an urban planner with suitable land use assignments. We show examples demonstrating how the planner can use this approach to analyze how various factors that affect land use and sprawl measures. Finally, we discuss topics of future research.
Author Rosenberger, Jay M.
Iqbal, Gazi Md Daud
Kumar, Piyush
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Keywords Sprawl
Benders’ decomposition
Mixed integer linear programming
Urban planning
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Snippet •A mixed integer programming model is proposed for land use optimization.•The mixed integer programming model maximizes suitability as well as manage...
Sprawl has a detrimental effect on quality of life and the environment. With dwindling resources and increasing populations, we must manage sprawl. Ewing et...
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StartPage 33
SubjectTerms Benders’ decomposition
Bending machines
Categories
Land use
Linear programming
Mathematical models
Metropolitan areas
Mixed integer
Mixed integer linear programming
Sprawl
Urban planning
Urbanization
Title Mixed integer linear programming approaches for land use planning that limit urban sprawl
URI https://dx.doi.org/10.1016/j.cie.2016.10.007
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Volume 102
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