On upper bounds for the multiple knapsack assignment problem

Gespeichert in:

Autor*in:	Galli, Laura [verfasserIn] Letchford, Adam N. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2024

Schlagwörter:	Combinatorial optimisation Knapsack problems Multiple assignment knapsack problem

Übergeordnetes Werk:	Enthalten in: Operations research letters - Amsterdam [u.a.] : Elsevier Science, 1981, 54(2024) vom: Mai, Artikel-ID 107104, Seite 1--6
Übergeordnetes Werk:	volume:54 ; year:2024 ; month:05 ; elocationid:107104 ; pages:1--6

Links:	Link aufrufen Link aufrufen

DOI / URN:	10.1016/j.orl.2024.107104

Katalog-ID:	1899475559

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allfields	10.1016/j.orl.2024.107104 doi (DE-627)1899475559 (DE-599)KXP1899475559 DE-627 ger DE-627 rda eng Galli, Laura verfasserin aut On upper bounds for the multiple knapsack assignment problem Laura Galli, Adam N. Letchford 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Combinatorial optimisation (dpeaa)DE-206 Knapsack problems (dpeaa)DE-206 Multiple assignment knapsack problem (dpeaa)DE-206 Letchford, Adam N. verfasserin aut Enthalten in Operations research letters Amsterdam [u.a.] : Elsevier Science, 1981 54(2024) vom: Mai, Artikel-ID 107104, Seite 1--6 Online-Ressource (DE-627)266019323 (DE-600)1467065-3 (DE-576)081952473 0167-6377 nnns volume:54 year:2024 month:05 elocationid:107104 pages:1--6 https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf Verlag kostenfrei https://doi.org/10.1016/j.orl.2024.107104 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 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_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 54 2024 5 107104 1--6 26 01 0206 4570070248 x1z 23-08-24 2403 01 DE-LFER 4575974471 00 --%%-- --%%-- n --%%-- l01 04-09-24 2403 01 DE-LFER https://doi.org/10.1016/j.orl.2024.107104 2403 01 DE-LFER https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf 26 00 DE-206 The Multiple Knapsack Assignment Problem is a strongly NP-hard combinatorial optimisation problem, with several applications. We show that an upper bound for the problem, due to Kataoka and Yamada, can be computed in linear time. We then show that some bounds due to Martello and Monaci dominate the Kataoka-Yamada bound. Finally, we define an even stronger bound, which turns out to be particularly effective when the number of knapsacks is not a multiple of the number of item classes.
spelling	10.1016/j.orl.2024.107104 doi (DE-627)1899475559 (DE-599)KXP1899475559 DE-627 ger DE-627 rda eng Galli, Laura verfasserin aut On upper bounds for the multiple knapsack assignment problem Laura Galli, Adam N. Letchford 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Combinatorial optimisation (dpeaa)DE-206 Knapsack problems (dpeaa)DE-206 Multiple assignment knapsack problem (dpeaa)DE-206 Letchford, Adam N. verfasserin aut Enthalten in Operations research letters Amsterdam [u.a.] : Elsevier Science, 1981 54(2024) vom: Mai, Artikel-ID 107104, Seite 1--6 Online-Ressource (DE-627)266019323 (DE-600)1467065-3 (DE-576)081952473 0167-6377 nnns volume:54 year:2024 month:05 elocationid:107104 pages:1--6 https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf Verlag kostenfrei https://doi.org/10.1016/j.orl.2024.107104 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 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_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 54 2024 5 107104 1--6 26 01 0206 4570070248 x1z 23-08-24 2403 01 DE-LFER 4575974471 00 --%%-- --%%-- n --%%-- l01 04-09-24 2403 01 DE-LFER https://doi.org/10.1016/j.orl.2024.107104 2403 01 DE-LFER https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf 26 00 DE-206 The Multiple Knapsack Assignment Problem is a strongly NP-hard combinatorial optimisation problem, with several applications. We show that an upper bound for the problem, due to Kataoka and Yamada, can be computed in linear time. We then show that some bounds due to Martello and Monaci dominate the Kataoka-Yamada bound. Finally, we define an even stronger bound, which turns out to be particularly effective when the number of knapsacks is not a multiple of the number of item classes.
allfields_unstemmed	10.1016/j.orl.2024.107104 doi (DE-627)1899475559 (DE-599)KXP1899475559 DE-627 ger DE-627 rda eng Galli, Laura verfasserin aut On upper bounds for the multiple knapsack assignment problem Laura Galli, Adam N. Letchford 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Combinatorial optimisation (dpeaa)DE-206 Knapsack problems (dpeaa)DE-206 Multiple assignment knapsack problem (dpeaa)DE-206 Letchford, Adam N. verfasserin aut Enthalten in Operations research letters Amsterdam [u.a.] : Elsevier Science, 1981 54(2024) vom: Mai, Artikel-ID 107104, Seite 1--6 Online-Ressource (DE-627)266019323 (DE-600)1467065-3 (DE-576)081952473 0167-6377 nnns volume:54 year:2024 month:05 elocationid:107104 pages:1--6 https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf Verlag kostenfrei https://doi.org/10.1016/j.orl.2024.107104 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 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_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 54 2024 5 107104 1--6 26 01 0206 4570070248 x1z 23-08-24 2403 01 DE-LFER 4575974471 00 --%%-- --%%-- n --%%-- l01 04-09-24 2403 01 DE-LFER https://doi.org/10.1016/j.orl.2024.107104 2403 01 DE-LFER https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf 26 00 DE-206 The Multiple Knapsack Assignment Problem is a strongly NP-hard combinatorial optimisation problem, with several applications. We show that an upper bound for the problem, due to Kataoka and Yamada, can be computed in linear time. We then show that some bounds due to Martello and Monaci dominate the Kataoka-Yamada bound. Finally, we define an even stronger bound, which turns out to be particularly effective when the number of knapsacks is not a multiple of the number of item classes.
allfieldsGer	10.1016/j.orl.2024.107104 doi (DE-627)1899475559 (DE-599)KXP1899475559 DE-627 ger DE-627 rda eng Galli, Laura verfasserin aut On upper bounds for the multiple knapsack assignment problem Laura Galli, Adam N. Letchford 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Combinatorial optimisation (dpeaa)DE-206 Knapsack problems (dpeaa)DE-206 Multiple assignment knapsack problem (dpeaa)DE-206 Letchford, Adam N. verfasserin aut Enthalten in Operations research letters Amsterdam [u.a.] : Elsevier Science, 1981 54(2024) vom: Mai, Artikel-ID 107104, Seite 1--6 Online-Ressource (DE-627)266019323 (DE-600)1467065-3 (DE-576)081952473 0167-6377 nnns volume:54 year:2024 month:05 elocationid:107104 pages:1--6 https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf Verlag kostenfrei https://doi.org/10.1016/j.orl.2024.107104 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 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_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 54 2024 5 107104 1--6 26 01 0206 4570070248 x1z 23-08-24 2403 01 DE-LFER 4575974471 00 --%%-- --%%-- n --%%-- l01 04-09-24 2403 01 DE-LFER https://doi.org/10.1016/j.orl.2024.107104 2403 01 DE-LFER https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf 26 00 DE-206 The Multiple Knapsack Assignment Problem is a strongly NP-hard combinatorial optimisation problem, with several applications. We show that an upper bound for the problem, due to Kataoka and Yamada, can be computed in linear time. We then show that some bounds due to Martello and Monaci dominate the Kataoka-Yamada bound. Finally, we define an even stronger bound, which turns out to be particularly effective when the number of knapsacks is not a multiple of the number of item classes.
allfieldsSound	10.1016/j.orl.2024.107104 doi (DE-627)1899475559 (DE-599)KXP1899475559 DE-627 ger DE-627 rda eng Galli, Laura verfasserin aut On upper bounds for the multiple knapsack assignment problem Laura Galli, Adam N. Letchford 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Combinatorial optimisation (dpeaa)DE-206 Knapsack problems (dpeaa)DE-206 Multiple assignment knapsack problem (dpeaa)DE-206 Letchford, Adam N. verfasserin aut Enthalten in Operations research letters Amsterdam [u.a.] : Elsevier Science, 1981 54(2024) vom: Mai, Artikel-ID 107104, Seite 1--6 Online-Ressource (DE-627)266019323 (DE-600)1467065-3 (DE-576)081952473 0167-6377 nnns volume:54 year:2024 month:05 elocationid:107104 pages:1--6 https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf Verlag kostenfrei https://doi.org/10.1016/j.orl.2024.107104 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 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_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 54 2024 5 107104 1--6 26 01 0206 4570070248 x1z 23-08-24 2403 01 DE-LFER 4575974471 00 --%%-- --%%-- n --%%-- l01 04-09-24 2403 01 DE-LFER https://doi.org/10.1016/j.orl.2024.107104 2403 01 DE-LFER https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf 26 00 DE-206 The Multiple Knapsack Assignment Problem is a strongly NP-hard combinatorial optimisation problem, with several applications. We show that an upper bound for the problem, due to Kataoka and Yamada, can be computed in linear time. We then show that some bounds due to Martello and Monaci dominate the Kataoka-Yamada bound. Finally, we define an even stronger bound, which turns out to be particularly effective when the number of knapsacks is not a multiple of the number of item classes.
language	English
source	Enthalten in Operations research letters 54(2024) vom: Mai, Artikel-ID 107104, Seite 1--6 volume:54 year:2024 month:05 elocationid:107104 pages:1--6
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topic_facet	Combinatorial optimisation Knapsack problems Multiple assignment knapsack problem
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author	Galli, Laura
spellingShingle	Galli, Laura misc Combinatorial optimisation misc Knapsack problems misc Multiple assignment knapsack problem On upper bounds for the multiple knapsack assignment problem
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topic_title	26 00 DE-206 The Multiple Knapsack Assignment Problem is a strongly NP-hard combinatorial optimisation problem, with several applications. We show that an upper bound for the problem, due to Kataoka and Yamada, can be computed in linear time. We then show that some bounds due to Martello and Monaci dominate the Kataoka-Yamada bound. Finally, we define an even stronger bound, which turns out to be particularly effective when the number of knapsacks is not a multiple of the number of item classes On upper bounds for the multiple knapsack assignment problem Laura Galli, Adam N. Letchford Combinatorial optimisation (dpeaa)DE-206 Knapsack problems (dpeaa)DE-206 Multiple assignment knapsack problem (dpeaa)DE-206
topic	misc Combinatorial optimisation misc Knapsack problems misc Multiple assignment knapsack problem
topic_unstemmed	misc Combinatorial optimisation misc Knapsack problems misc Multiple assignment knapsack problem
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title_full	On upper bounds for the multiple knapsack assignment problem Laura Galli, Adam N. Letchford
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title_sort	on upper bounds for the multiple knapsack assignment problem
title_auth	On upper bounds for the multiple knapsack assignment problem
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title_short	On upper bounds for the multiple knapsack assignment problem
url	https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf https://doi.org/10.1016/j.orl.2024.107104
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code="r">https://www.sciencedirect.com/science/article/pii/S0167637724000403/pdf</subfield></datafield><datafield tag="982" ind1=" " ind2=" "><subfield code="2">26</subfield><subfield code="1">00</subfield><subfield code="x">DE-206</subfield><subfield code="b">The Multiple Knapsack Assignment Problem is a strongly NP-hard combinatorial optimisation problem, with several applications. We show that an upper bound for the problem, due to Kataoka and Yamada, can be computed in linear time. We then show that some bounds due to Martello and Monaci dominate the Kataoka-Yamada bound. Finally, we define an even stronger bound, which turns out to be particularly effective when the number of knapsacks is not a multiple of the number of item classes.</subfield></datafield></record></collection>
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On upper bounds for the multiple knapsack assignment problem

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