Deterministic algorithm with agglomerative heuristic for location problems
Authors consider the clustering problem solved with the k-means method and p-median problem with various distance metrics. The p-median problem and the k-means problem as its special case are most popular models of the location theory. They are implemented for solving problems of clustering and many...
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          | Published in | IOP conference series. Materials Science and Engineering Vol. 94; no. 1; pp. 12016 - 12024 | 
|---|---|
| Main Authors | , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
        Bristol
          IOP Publishing
    
        2015
     | 
| Subjects | |
| Online Access | Get full text | 
| ISSN | 1757-8981 1757-899X 1757-899X  | 
| DOI | 10.1088/1757-899X/94/1/012016 | 
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| Abstract | Authors consider the clustering problem solved with the k-means method and p-median problem with various distance metrics. The p-median problem and the k-means problem as its special case are most popular models of the location theory. They are implemented for solving problems of clustering and many practically important logistic problems such as optimal factory or warehouse location, oil or gas wells, optimal drilling for oil offshore, steam generators in heavy oil fields. Authors propose new deterministic heuristic algorithm based on ideas of the Information Bottleneck Clustering and genetic algorithms with greedy heuristic. In this paper, results of running new algorithm on various data sets are given in comparison with known deterministic and stochastic methods. New algorithm is shown to be significantly faster than the Information Bottleneck Clustering method having analogous preciseness. | 
    
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| AbstractList | Authors consider the clustering problem solved with the k-means method and p-median problem with various distance metrics. The p-median problem and the k-means problem as its special case are most popular models of the location theory. They are implemented for solving problems of clustering and many practically important logistic problems such as optimal factory or warehouse location, oil or gas wells, optimal drilling for oil offshore, steam generators in heavy oil fields. Authors propose new deterministic heuristic algorithm based on ideas of the Information Bottleneck Clustering and genetic algorithms with greedy heuristic. In this paper, results of running new algorithm on various data sets are given in comparison with known deterministic and stochastic methods. New algorithm is shown to be significantly faster than the Information Bottleneck Clustering method having analogous preciseness. | 
    
| Author | Stupina, A Kazakovtsev, L  | 
    
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| Cites_doi | 10.1007/BF01070282/ 10.1007/s11227-014-1174-1 10.1023/A:1026130003508 10.1287/mnsc.9.4.643 10.1080/01966324.1992.10737322 10.1145/2133803.2184450/ 10.1007/978-3-7908-2151-2 10.1111/j.1467-8306.2004.00410.x 10.1080/01966324.1992.10737323 10.1016/j.eswa.2008.01.039 10.1287/opre.11.3.331 10.1007/s10732-006-7284-z 10.1007/BF00121636 10.1007/s11067-008-9084-5 10.1002/9780470316801 10.1016/0003-2670(93)80130-D  | 
    
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| References | 11 Deza M M (8) 2009 12 Zhang Q (13) 2005; 3482 24 14 Kazakovtsev L A (3) 2014; 38 17 Arthur D (15) 2007 18 19 Mishra N (16) 2001 Kazakovtsev L A (2) 2014; 6-8 Kazakovtsev L A (22) 2014; 4 Patrick M (23) 1994 4 5 6 7 9 Farahani R Z (1) 2009 20 10 21  | 
    
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| SubjectTerms | Agglomeration Algorithms Boilers Clustering Gas wells Genetic algorithms Greedy algorithms Heuristic Heuristic methods Materials science Oil fields Optimization Problem solving Site selection  | 
    
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| Title | Deterministic algorithm with agglomerative heuristic for location problems | 
    
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