2022
DOI: 10.1007/s40747-022-00880-w
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A hybrid spectral clustering simulated annealing algorithm for the street patrol districting problem

Abstract: Reasonable districting plays an important role in the patrolling process. In this paper, workload attributes are considered, and a mixed integer programming model is developed to solve the street patrol districting problem (SPDP). The improved spectral clustering algorithm named spectral clustering algorithm based on the road network (SCRn) and simulated annealing algorithm (SA) are combined. This results in a hybrid algorithm called SCRn-SA. The SCRn-SA algorithm is tested on small examples and real instances… Show more

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Cited by 2 publications
(1 citation statement)
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“…For instance, the AZP algorithm (Openshaw, 1977) sought to iteratively refine solutions while maintaining spatial connectivity, yet tended to get stuck in local optima. To address this, methods like tabu search (Baldassarre et al, 2023;Duque & Church, 2004), simulated annealing (Jiang et al, 2023;Ko et al, 2015), and ant colony optimization (Mimis et al, 2012) were introduced to enhance solution diversity and partitioning. Additionally, tree-based heuristic (Assunção et al, 2006;Côme, 2024;Guo, 2008) approaches have been developed to simplify neighborhood searches, structuring spatial units into connected graphs for improved partitioning, all while preserving connectivity.…”
Section: Introductionmentioning
confidence: 99%
“…For instance, the AZP algorithm (Openshaw, 1977) sought to iteratively refine solutions while maintaining spatial connectivity, yet tended to get stuck in local optima. To address this, methods like tabu search (Baldassarre et al, 2023;Duque & Church, 2004), simulated annealing (Jiang et al, 2023;Ko et al, 2015), and ant colony optimization (Mimis et al, 2012) were introduced to enhance solution diversity and partitioning. Additionally, tree-based heuristic (Assunção et al, 2006;Côme, 2024;Guo, 2008) approaches have been developed to simplify neighborhood searches, structuring spatial units into connected graphs for improved partitioning, all while preserving connectivity.…”
Section: Introductionmentioning
confidence: 99%