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A matheuristic approach for the two-machine total completion time flow shop problem

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  • Federico Della Croce
  • Andrea Grosso
  • Fabio Salassa

Abstract

This paper deals with the two-machine total completion time flow shop problem. We present a so-called matheuristic post processing procedure that improves the objective function value with respect to the solutions provided by state of the art procedures. The proposed procedure is based on the positional completion times integer programming formulation of the problem with O(n 2 ) variables and O(n) constraints. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • Federico Della Croce & Andrea Grosso & Fabio Salassa, 2014. "A matheuristic approach for the two-machine total completion time flow shop problem," Annals of Operations Research, Springer, vol. 213(1), pages 67-78, February.
    • Handle: RePEc:spr:annopr:v:213:y:2014:i:1:p:67-78:10.1007/s10479-011-0928-x
    DOI: 10.1007/s10479-011-0928-x
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    References listed on IDEAS

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    1. Taillard, E., 1990. "Some efficient heuristic methods for the flow shop sequencing problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 65-74, July.
    2. Della Croce, F. & Narayan, V. & Tadei, R., 1996. "The two-machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 227-237, April.
    3. Ladhari, Talel & Rakrouki, Mohamed Ali, 2009. "Heuristics and lower bounds for minimizing the total completion time in a two-machine flowshop," International Journal of Production Economics, Elsevier, vol. 122(2), pages 678-691, December.
    4. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    5. Ruiz, Ruben & Maroto, Concepcion, 2005. "A comprehensive review and evaluation of permutation flowshop heuristics," European Journal of Operational Research, Elsevier, vol. 165(2), pages 479-494, September.
    6. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    7. Akkan, Can & Karabati, Selcuk, 2004. "The two-machine flowshop total completion time problem: Improved lower bounds and a branch-and-bound algorithm," European Journal of Operational Research, Elsevier, vol. 159(2), pages 420-429, December.
    8. Della Croce, F. & Ghirardi, M. & Tadei, R., 2002. "An improved branch-and-bound algorithm for the two machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 139(2), pages 293-301, June.
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    Cited by:

    1. Framinan, Jose M. & Perez-Gonzalez, Paz, 2018. "Order scheduling with tardiness objective: Improved approximate solutions," European Journal of Operational Research, Elsevier, vol. 266(3), pages 840-850.
    2. Dominik Kress & David Müller & Jenny Nossack, 2019. "A worker constrained flexible job shop scheduling problem with sequence-dependent setup times," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 179-217, March.
    3. Fan Yang & Roel Leus, 2021. "Scheduling hybrid flow shops with time windows," Journal of Heuristics, Springer, vol. 27(1), pages 133-158, April.
    4. Aringhieri, Roberto & Duma, Davide & Landa, Paolo & Mancini, Simona, 2022. "Combining workload balance and patient priority maximisation in operating room planning through hierarchical multi-objective optimisation," European Journal of Operational Research, Elsevier, vol. 298(2), pages 627-643.
    5. Marco Ghirardi & Fabio Salassa, 2022. "A simple and effective algorithm for the maximum happy vertices problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 181-193, April.
    6. Federico Della Croce & Andrea Grosso & Fabio Salassa, 2021. "Minimizing total completion time in the two-machine no-idle no-wait flow shop problem," Journal of Heuristics, Springer, vol. 27(1), pages 159-173, April.
    7. Alice Consilvio & Angela Febbraro & Rossella Meo & Nicola Sacco, 2019. "Risk-based optimal scheduling of maintenance activities in a railway network," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(5), pages 435-465, December.
    8. Reshma Chirayil Chandrasekharan & Pieter Smet & Tony Wauters, 2021. "An automatic constructive matheuristic for the shift minimization personnel task scheduling problem," Journal of Heuristics, Springer, vol. 27(1), pages 205-227, April.

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