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ACM Transactions on Spatial Algorithms and Systems
Article . 2023 . Peer-reviewed
License: CC BY
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https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY
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Memetic Algorithms for Spatial Partitioning Problems

Authors: Subhodip Biswas; Fanglan Chen; Zhiqian Chen; Chang-Tien Lu; Naren Ramakrishnan;

Memetic Algorithms for Spatial Partitioning Problems

Abstract

Spatial optimization problems (SOPs) are characterized by spatial relationships governing the decision variables, objectives, and/or constraint functions. In this article, we focus on a specific type of SOP called spatial partitioning, which is a combinatorial problem due to the presence of discrete spatial units. Exact optimization methods do not scale with the size of the problem, especially within practicable time limits. This motivated us to develop population-based metaheuristics for solving such SOPs. However, the search operators employed by these population-based methods are mostly designed for real-parameter continuous optimization problems. For adapting these methods to SOPs, we apply domain knowledge in designing spatially aware search operators for efficiently searching through the discrete search space while preserving the spatial constraints. To this end, we put forward a simple yet effective algorithm calledswarm-based spatial memeticalgorithm (SPATIAL) and test it on the school (re)districting problem. Detailed experimental investigations are performed on real-world datasets to evaluate the performance of SPATIAL. Besides, ablation studies are performed to understand the role of the individual components of SPATIAL. Additionally, we discuss how SPATIAL is helpful in the real-life planning process and its applicability to different scenarios and motivate future research directions.

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United States
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Keywords

FOS: Computer and information sciences, Computer Science - Artificial Intelligence, G.1.6, I.2.8, G.1.6; I.2.8, Computer Science - Neural and Evolutionary Computing, Artificial Intelligence (cs.AI), Optimization and Control (math.OC), FOS: Mathematics, Neural and Evolutionary Computing (cs.NE), Mathematics - Optimization and Control

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green
hybrid