A greedy memetic algorithm for a multiobjective dynamic bin packing problem for storing cooling objects
In this paper, a multiobjective dynamic bin packing problem for storing cooling objects is introduced along with a metaheuristic designed to work well in mixed-variable environments. The dynamic bin packing problem is based on cookie production at a bakery, where cookies arrive in batches at a cooli...
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| Abstract | In this paper, a multiobjective dynamic bin packing problem for storing cooling objects is introduced along with a metaheuristic designed to work well in mixed-variable environments. The dynamic bin packing problem is based on cookie production at a bakery, where cookies arrive in batches at a cooling rack with limited capacity and are packed into boxes with three competing goals. The first is to minimize the number of boxes used. The second objective is to minimize the average initial heat of each box, and the third is to minimize the maximum time until the boxes can be moved to the storefront. The metaheuristic developed here incorporated greedy heuristics into an adaptive evolutionary framework with partial decomposition into clusters of solutions for the crossover operator. The new metaheuristic was applied to a variety benchmark bin packing problems and to a small and large version of the dynamic bin packing problem. It performed as well as other metaheuristics in the benchmark problems and produced more diverse solutions in the dynamic problems. It performed better overall in the small dynamic problem, but its performance could not be proven to be better or worse in the large dynamic problem. |
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| AbstractList | In this paper, a multiobjective dynamic bin packing problem for storing cooling objects is introduced along with a metaheuristic designed to work well in mixed-variable environments. The dynamic bin packing problem is based on cookie production at a bakery, where cookies arrive in batches at a cooling rack with limited capacity and are packed into boxes with three competing goals. The first is to minimize the number of boxes used. The second objective is to minimize the average initial heat of each box, and the third is to minimize the maximum time until the boxes can be moved to the storefront. The metaheuristic developed here incorporated greedy heuristics into an adaptive evolutionary framework with partial decomposition into clusters of solutions for the crossover operator. The new metaheuristic was applied to a variety benchmark bin packing problems and to a small and large version of the dynamic bin packing problem. It performed as well as other metaheuristics in the benchmark problems and produced more diverse solutions in the dynamic problems. It performed better overall in the small dynamic problem, but its performance could not be proven to be better or worse in the large dynamic problem. |
| Author | Jarrell, Joshua J. Tsvetkov, Pavel V. Spencer, Kristina Yancey |
| Author_xml | – sequence: 1 givenname: Kristina Yancey orcidid: 0000-0003-0448-0411 surname: Spencer fullname: Spencer, Kristina Yancey email: kristina.yancey@gmail.com organization: Texas A&M University, 3133 TAMU – sequence: 2 givenname: Pavel V. surname: Tsvetkov fullname: Tsvetkov, Pavel V. organization: Texas A&M University, 3133 TAMU – sequence: 3 givenname: Joshua J. orcidid: 0000-0003-1041-8729 surname: Jarrell fullname: Jarrell, Joshua J. organization: Oak Ridge National Laboratory, Idaho National Laboratory |
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| CitedBy_id | crossref_primary_10_3233_JIFS_201581 crossref_primary_10_1109_TIM_2020_2987636 crossref_primary_10_1007_s11633_023_1468_y crossref_primary_10_1016_j_eswa_2024_123515 crossref_primary_10_1016_j_nucengdes_2019_110479 crossref_primary_10_3390_electronics11020249 crossref_primary_10_1007_s10288_022_00522_4 crossref_primary_10_1007_s10732_024_09537_y crossref_primary_10_1016_j_asoc_2022_109243 crossref_primary_10_1016_j_pnucene_2019_04_009 crossref_primary_10_1080_01605682_2023_2228339 |
| Cites_doi | 10.2307/3002019 10.1007/978-3-642-27549-4_58 10.1109/TEVC.2009.2033671 10.1111/j.1365-2621.1978.tb02309.x 10.1016/j.ejor.2007.06.032 10.1109/TCYB.2013.2295886 10.1016/j.ejor.2014.02.059 10.1007/978-3-319-13072-9 10.1007/BFb0056872 10.1016/S0307-904X(00)00026-3 10.1287/opre.42.2.287 10.1016/j.asoc.2013.12.006 10.1201/b16609 10.1109/TEVC.2010.2058117 10.1007/978-3-540-88051-6_2 10.1007/BF01096763 10.1016/j.ejor.2009.05.005 10.1109/TPDS.2015.2393868 10.1016/j.swevo.2011.03.001 10.1007/978-3-642-32964-7_42 10.1109/CEC.2010.5586259 10.1109/4235.996017 10.1109/MCSE.2007.55 10.1109/TEVC.2003.810758 |
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| Keywords | Memetic algorithms Multiobjective combinatorial optimization Dynamic bin packing problem Metaheuristics |
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| References | AnilySBramelJSimchi-LeviDWorst-case analysis of heuristics for the bin packing problem with general cost structuresOper. Res.199442228729810.1287/opre.42.2.2870805.90092 Grunert da Fonseca, V., Fonseca, C.M., Hall, A.O.: Inferential performance assessment of stochastic optimisers and the attainment function. In: Zitzler, E., Thiele, L., Deb, K., Coello Coello, C.A. (eds.) Evolutionary Multi-Criterion Optimization: First International Conference, EMO 2001, Zurich, Switzerland, March 7–9, 2001. Proceedings, pp. 213–225. Springer, Berlin (2001) IshibuchiHHitotsuyanagiYTsukamotoNNojimaYImplementation of multiobjective memetic algorithms for combinatorial optimization problems: a knapsack problem case studyStud. Comput. Intell.200917127491188.68120 SilvaEOliveiraJFWäscherG2DCPackGen: a problem generator for two-dimensional rectangular cutting and packing problemsEur. J. Oper. 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Comput.20037211713210.1109/TEVC.2003.810758 9382_CR7 S Anily (9382_CR3) 1994; 42 9382_CR9 J Hunter (9382_CR16) 2007; 9 9382_CR1 M Sathe (9382_CR28) 2009 E Zitzler (9382_CR34) 2003; 7 A Zhou (9382_CR32) 2011; 1 YJ Cao (9382_CR5) 2000; 24 N Nitin (9382_CR26) 2002 TA Feo (9382_CR11) 1995; 6 H Ishibuchi (9382_CR17) 2009; 171 9382_CR20 9382_CR21 9382_CR27 9382_CR24 9382_CR25 Y Li (9382_CR22) 2016; 27 F Satterthwaite (9382_CR29) 1946; 2 YA Cengel (9382_CR6) 2002 L Ke (9382_CR18) 2014; 44 S Butenko (9382_CR4) 2014 FA Kulacki (9382_CR19) 1978; 43 Q Zhang (9382_CR31) 2010; 14 N Dahmani (9382_CR8) 2014; 16 DS Liu (9382_CR23) 2008; 190 CK Goh (9382_CR14) 2010; 202 9382_CR33 9382_CR12 E Silva (9382_CR30) 2014; 237 9382_CR15 K Deb (9382_CR10) 2002; 6 9382_CR13 SF Adra (9382_CR2) 2011; 15 |
| References_xml | – reference: NitinNKarweMVWelti-ChanesJVelez-RuizJFBarbosa-CánovasGVHeat transfer coefficient for model cookies in a turbulent multiple jet impingement systemTransport Phenomena in Food Processing2002Boca RatonCRC Press357376 – reference: Zitzler, E., Thiele, L.: Parallel Problem Solving from Nature (PPSN V), Springer, Berlin, Germany, Book Section Multiobjective Optimization Using Evolutionary Algorithms—A Comparative Case Study, pp. 292–301 (1998) – reference: Fonseca, C.M., Guerreiro, A.P., López-Ibáñez, M., Paquete, L.: On the computation of the empirical attainment function. In: Takahashi, R.H., Deb, K., Wanner, E.F., Greco, S. (eds.) Evolutionary Multi-Criterion Optimization: 6th International Conference, EMO 2011, Ouro Preto, Brazil, April 5–8, 2011. Proceedings, pp. 106–120. Springer, Berlin (2011) – reference: ButenkoSPardalosPMNumerical Methods and Optimization: An Introduction2014Boca RatonCRC Press10.1201/b166091288.65001 – reference: Grunert da Fonseca, V., Fonseca, C.M., Hall, A.O.: Inferential performance assessment of stochastic optimisers and the attainment function. In: Zitzler, E., Thiele, L., Deb, K., Coello Coello, C.A. (eds.) Evolutionary Multi-Criterion Optimization: First International Conference, EMO 2001, Zurich, Switzerland, March 7–9, 2001. Proceedings, pp. 213–225. Springer, Berlin (2001) – reference: ZitzlerEThieleLLaumannsMFonsecaCMFonsecaVGdPerformance assessment of multiobjective optimizers: an analysis and reviewIEEE Trans. Evol. Comput.20037211713210.1109/TEVC.2003.810758 – reference: LiuDSTanKCHuangSYGohCKHoWKOn solving multiobjective bin packing problems using evolutionary particle swarm optimizationEur. J. Oper. Res.20081902357382241297910.1016/j.ejor.2007.06.0321146.90510 – reference: SatheMSchenkOBurkhartHSolving Bi-objective Many-Constraint Bin Packing Problems in Automobile Sheet Metal Forming Processes2009BerlinSpringer246260 – reference: HunterJMatplotlib: a 2D graphics environmentComput. Sci. Eng.200793909510.1109/MCSE.2007.55 – reference: Martello, S., Toth, P.: Knapsack Problems: Algorithms and Computer Implementations. Wiley, New York, Chapter 8. Bin-packing problem, pp. 221–245 (1990) – reference: Abdi, H.: Encyclopedia of Measurements and Statistics, Thousand Oaks, CA, Chapter, The Bonferroni and Sidak Corrections for Multiple Procedures (2007) – reference: IshibuchiHHitotsuyanagiYTsukamotoNNojimaYImplementation of multiobjective memetic algorithms for combinatorial optimization problems: a knapsack problem case studyStud. Comput. 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| SubjectTerms | Artificial Intelligence Benchmarks Boxes Calculus of Variations and Optimal Control; Optimization Cookies Cooling Greedy algorithms Heuristic methods Management Science Mathematics Mathematics and Statistics Multiple objective analysis Operations Research Operations Research/Decision Theory Packing problem |
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| Title | A greedy memetic algorithm for a multiobjective dynamic bin packing problem for storing cooling objects |
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