A branch-and-bound algorithm for the two-machine total completion time flowshop problem subject to release dates
We consider the problem of minimizing the sum of completion times in a two-machine permutation flowshop problem subject to release dates. We derive several lower bounds as well as a branch-and-bound algorithm for the problem under consideration. Computational experiments, on a large set of randomly...
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| Published in: | Operational research Vol. 20; no. 1; pp. 21 - 35 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.03.2020
Springer Nature B.V |
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| ISSN: | 1109-2858, 1866-1505 |
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| Abstract | We consider the problem of minimizing the sum of completion times in a two-machine permutation flowshop problem subject to release dates. We derive several lower bounds as well as a branch-and-bound algorithm for the problem under consideration. Computational experiments, on a large set of randomly generated instances, provide evidence that the proposed procedure performs consistently well. |
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| AbstractList | We consider the problem of minimizing the sum of completion times in a two-machine permutation flowshop problem subject to release dates. We derive several lower bounds as well as a branch-and-bound algorithm for the problem under consideration. Computational experiments, on a large set of randomly generated instances, provide evidence that the proposed procedure performs consistently well. |
| Author | Rakrouki, Mohamed Ali Chalghoumi, Sabrine Kooli, Anis Ladhari, Talel |
| Author_xml | – sequence: 1 givenname: Mohamed Ali surname: Rakrouki fullname: Rakrouki, Mohamed Ali organization: College of Computer Science & Engineering, Taibah University, Ecole Supérieure des Sciences Economiques et Commerciales de Tunis, Université de Tunis – sequence: 2 givenname: Anis surname: Kooli fullname: Kooli, Anis email: anis.kooli@gmail.com organization: Ecole Supérieure des Sciences Economiques et Commerciales de Tunis, Université de Tunis – sequence: 3 givenname: Sabrine surname: Chalghoumi fullname: Chalghoumi, Sabrine organization: Ecole Supérieure des Sciences Economiques et Commerciales de Tunis, Université de Tunis – sequence: 4 givenname: Talel surname: Ladhari fullname: Ladhari, Talel organization: Ecole Supérieure des Sciences Economiques et Commerciales de Tunis, Université de Tunis, College of Business Administration, Umm Al-Qura University, Business Analytics and Decision Making Lab (BADEM), Tunis Business School, Université de Tunis |
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| Cites_doi | 10.1016/0167-6377(95)00023-D 10.1137/S0097539796305778 10.1287/opre.13.3.400 10.1287/opre.33.2.363 10.1016/j.jcss.2006.10.018 10.1016/S0925-5273(02)00234-7 10.1023/B:JOSH.0000046075.73409.7d 10.1016/0305-0483(83)90088-9 10.1016/0377-2217(95)00351-7 10.1016/S0167-6377(02)00215-8 10.1016/j.ijpe.2009.06.031 10.1016/j.cor.2014.06.013 10.1007/BF03500931 10.1080/05695558308974629 10.1016/S0377-2217(03)00415-6 10.1016/j.cor.2013.01.001 10.1007/s10951-006-8789-x 10.1016/S0377-2217(01)00374-5 10.1109/ICMSAO.2013.6552646 10.1007/3-540-45540-X_2 |
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| Keywords | Branch-and-bound Flowshop Release dates Total completion time |
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| References_xml | – volume: 17 start-page: 205 issue: 5 year: 1995 end-page: 208 ident: CR12 article-title: Minimizing total completion and maximum cost simultaneously is solvable in polynomial time publication-title: Oper Res Lett doi: 10.1016/0167-6377(95)00023-D – year: 1982 ident: CR9 publication-title: Sequencing and scheduling: an introduction to the mathematics of the job-shop – volume: 28 start-page: 1155 issue: 4 year: 1999 end-page: 1166 ident: CR16 article-title: Approximability and non approximability results for minimizing total flow time on a single machine publication-title: SIAM J Comput doi: 10.1137/S0097539796305778 – volume: 13 start-page: 400 issue: 3 year: 1965 end-page: 412 ident: CR14 article-title: Application of the branch-and-bound technique to some flowshop scheduling problems publication-title: Oper Res doi: 10.1287/opre.13.3.400 – ident: CR4 – volume: 33 start-page: 363 issue: 2 year: 1985 end-page: 377 ident: CR23 article-title: A branch-and-bound 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Machine sequencing problem: classification, complexity and computation – volume: 159 start-page: 420 issue: 2 year: 2004 end-page: 429 ident: CR1 article-title: The two-machine flowshop total completion time problem: improved lower bounds and a branch-and-bound algorithm publication-title: Eur J Oper Res doi: 10.1016/S0377-2217(03)00415-6 – volume: 40 start-page: 1693 issue: 7 year: 2013 end-page: 1699 ident: CR11 article-title: An assignment-based lower bound for a class of two-machine flow shop problems publication-title: Comput Oper Res doi: 10.1016/j.cor.2013.01.001 – volume: 9 start-page: 559 issue: 6 year: 2006 end-page: 568 ident: CR13 article-title: Lower bounds for minimizing total completion time in a two-machine flow shop publication-title: J Sched doi: 10.1007/s10951-006-8789-x – year: 2008 ident: CR22 publication-title: Scheduling: theory, algorithms, and systems – ident: CR24 – volume: 139 start-page: 293 issue: 2 year: 2002 end-page: 301 ident: CR7 article-title: An improved branch-and-bound algorithm for the two machine total completion time flowshop problem publication-title: Eur J Oper Res doi: 10.1016/S0377-2217(01)00374-5 – volume: 7 start-page: 429 issue: 6 year: 2004 ident: 308_CR27 publication-title: J Sched doi: 10.1023/B:JOSH.0000046075.73409.7d – volume: 13 start-page: 400 issue: 3 year: 1965 ident: 308_CR14 publication-title: Oper Res doi: 10.1287/opre.13.3.400 – volume-title: Sequencing and scheduling: an introduction to the mathematics of the job-shop year: 1982 ident: 308_CR9 – volume-title: Handbook of scheduling: algorithms, models and performance analysis year: 2004 ident: 308_CR15 – volume: 15 start-page: 172 issue: 2 year: 1983 ident: 308_CR26 publication-title: IIE Trans doi: 10.1080/05695558308974629 – volume: 9 start-page: 559 issue: 6 year: 2006 ident: 308_CR13 publication-title: J Sched doi: 10.1007/s10951-006-8789-x – volume: 73 start-page: 875 issue: 6 year: 1997 ident: 308_CR20 publication-title: J Comput Syst Sci doi: 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| SubjectTerms | Algorithms Business and Management Completion time Computational Intelligence Job shops Lower bounds Management Science Operations Research Operations Research/Decision Theory Original Paper Permutations Production scheduling Release dates |
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| Title | A branch-and-bound algorithm for the two-machine total completion time flowshop problem subject to release dates |
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