Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison
Abstract This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Roberti, Roberto [verfasserIn] Toth, Paolo [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
Asymmetric Traveling Salesman Problem |
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| Übergeordnetes Werk: |
Enthalten in: EURO journal on transportation and logistics - Amsterdam, Niederlande : Elsevier, 2012, 1(2012), 1-2 vom: 15. Mai, Seite 113-133 |
|---|---|
| Übergeordnetes Werk: |
volume:1 ; year:2012 ; number:1-2 ; day:15 ; month:05 ; pages:113-133 |
| Links: |
|---|
| DOI / URN: |
10.1007/s13676-012-0010-0 |
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| Katalog-ID: |
SPR032158416 |
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| 520 | |a Abstract This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first presented, its classical (assignment, shortest spanning r-arborescence, linear programming) relaxations are derived, and the most effective branch-and-bound and branch-and-cut algorithms are described. The polynomial ILP formulations proposed for the ATSP are then presented and analyzed. The considered algorithms and formulations are finally experimentally compared on a set of benchmark instances. | ||
| 650 | 4 | |a Asymmetric Traveling Salesman Problem |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Integer Linear Programming models |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Branch-and-bound algorithms |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Branch-and-cut algorithms |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Experimental comparison |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Toth, Paolo |e verfasserin |4 aut | |
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10.1007/s13676-012-0010-0 doi (DE-627)SPR032158416 (SPR)s13676-012-0010-0-e DE-627 ger DE-627 rakwb eng 380 ASE 380 ASE 31.80 bkl 55.80 bkl Roberti, Roberto verfasserin aut Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first presented, its classical (assignment, shortest spanning r-arborescence, linear programming) relaxations are derived, and the most effective branch-and-bound and branch-and-cut algorithms are described. The polynomial ILP formulations proposed for the ATSP are then presented and analyzed. The considered algorithms and formulations are finally experimentally compared on a set of benchmark instances. Asymmetric Traveling Salesman Problem (dpeaa)DE-He213 Integer Linear Programming models (dpeaa)DE-He213 Branch-and-bound algorithms (dpeaa)DE-He213 Branch-and-cut algorithms (dpeaa)DE-He213 Experimental comparison (dpeaa)DE-He213 Toth, Paolo verfasserin aut Enthalten in EURO journal on transportation and logistics Amsterdam, Niederlande : Elsevier, 2012 1(2012), 1-2 vom: 15. Mai, Seite 113-133 (DE-627)718610970 (DE-600)2660486-3 2192-4384 nnns volume:1 year:2012 number:1-2 day:15 month:05 pages:113-133 https://dx.doi.org/10.1007/s13676-012-0010-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-WIW SSG-OLC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.80 ASE 55.80 ASE AR 1 2012 1-2 15 05 113-133 |
| spelling |
10.1007/s13676-012-0010-0 doi (DE-627)SPR032158416 (SPR)s13676-012-0010-0-e DE-627 ger DE-627 rakwb eng 380 ASE 380 ASE 31.80 bkl 55.80 bkl Roberti, Roberto verfasserin aut Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first presented, its classical (assignment, shortest spanning r-arborescence, linear programming) relaxations are derived, and the most effective branch-and-bound and branch-and-cut algorithms are described. The polynomial ILP formulations proposed for the ATSP are then presented and analyzed. The considered algorithms and formulations are finally experimentally compared on a set of benchmark instances. Asymmetric Traveling Salesman Problem (dpeaa)DE-He213 Integer Linear Programming models (dpeaa)DE-He213 Branch-and-bound algorithms (dpeaa)DE-He213 Branch-and-cut algorithms (dpeaa)DE-He213 Experimental comparison (dpeaa)DE-He213 Toth, Paolo verfasserin aut Enthalten in EURO journal on transportation and logistics Amsterdam, Niederlande : Elsevier, 2012 1(2012), 1-2 vom: 15. Mai, Seite 113-133 (DE-627)718610970 (DE-600)2660486-3 2192-4384 nnns volume:1 year:2012 number:1-2 day:15 month:05 pages:113-133 https://dx.doi.org/10.1007/s13676-012-0010-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-WIW SSG-OLC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.80 ASE 55.80 ASE AR 1 2012 1-2 15 05 113-133 |
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Roberti, Roberto |
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Roberti, Roberto ddc 380 bkl 31.80 bkl 55.80 misc Asymmetric Traveling Salesman Problem misc Integer Linear Programming models misc Branch-and-bound algorithms misc Branch-and-cut algorithms misc Experimental comparison Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison |
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380 ASE 31.80 bkl 55.80 bkl Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison Asymmetric Traveling Salesman Problem (dpeaa)DE-He213 Integer Linear Programming models (dpeaa)DE-He213 Branch-and-bound algorithms (dpeaa)DE-He213 Branch-and-cut algorithms (dpeaa)DE-He213 Experimental comparison (dpeaa)DE-He213 |
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ddc 380 bkl 31.80 bkl 55.80 misc Asymmetric Traveling Salesman Problem misc Integer Linear Programming models misc Branch-and-bound algorithms misc Branch-and-cut algorithms misc Experimental comparison |
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Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison |
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models and algorithms for the asymmetric traveling salesman problem: an experimental comparison |
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Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison |
| abstract |
Abstract This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first presented, its classical (assignment, shortest spanning r-arborescence, linear programming) relaxations are derived, and the most effective branch-and-bound and branch-and-cut algorithms are described. The polynomial ILP formulations proposed for the ATSP are then presented and analyzed. The considered algorithms and formulations are finally experimentally compared on a set of benchmark instances. |
| abstractGer |
Abstract This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first presented, its classical (assignment, shortest spanning r-arborescence, linear programming) relaxations are derived, and the most effective branch-and-bound and branch-and-cut algorithms are described. The polynomial ILP formulations proposed for the ATSP are then presented and analyzed. The considered algorithms and formulations are finally experimentally compared on a set of benchmark instances. |
| abstract_unstemmed |
Abstract This paper surveys the most effective mathematical models and exact algorithms proposed for finding the optimal solution of the well-known Asymmetric Traveling Salesman Problem (ATSP). The fundamental Integer Linear Programming (ILP) model proposed by Dantzig, Fulkerson and Johnson is first presented, its classical (assignment, shortest spanning r-arborescence, linear programming) relaxations are derived, and the most effective branch-and-bound and branch-and-cut algorithms are described. The polynomial ILP formulations proposed for the ATSP are then presented and analyzed. The considered algorithms and formulations are finally experimentally compared on a set of benchmark instances. |
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1-2 |
| title_short |
Models and algorithms for the Asymmetric Traveling Salesman Problem: an experimental comparison |
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https://dx.doi.org/10.1007/s13676-012-0010-0 |
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| author2 |
Toth, Paolo |
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Toth, Paolo |
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718610970 |
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| doi_str |
10.1007/s13676-012-0010-0 |
| up_date |
2024-07-04T02:35:19.061Z |
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| score |
7.399781 |