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On a Fix-and-Relax Framework for a Class of Project Scheduling Problems

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  • Laureano Escudero
  • Javier Salmeron

Abstract

We consider the following problem: Given a set of projects to be executed along a multi-year time horizon, find a sequencing and scheduling feasible solution that optimizes a merit function. A feasible solution should satisfy availability of storable and non-storable resources with budget carrier and non-carrier periods, and precedence, exclusivity and implication relationships among the projects. This is an NP-hard problem. We present several Fix-and-Relax strategies which partition the set of binary variable into clusters in order to selectively explore the branch-and-bound tree. Computational performance is favorably compared with a state-of-the-art optimization engine over a set of real-life cases. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Laureano Escudero & Javier Salmeron, 2005. "On a Fix-and-Relax Framework for a Class of Project Scheduling Problems," Annals of Operations Research, Springer, vol. 140(1), pages 163-188, November.
    • Handle: RePEc:spr:annopr:v:140:y:2005:i:1:p:163-188:10.1007/s10479-005-3970-8
    DOI: 10.1007/s10479-005-3970-8
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    3. Asgeir Tomasgard, 2009. "Comments on: On a mixture of the fix-and-relax coordination and Lagrangean substitution schemes for multistage stochastic mixed integer programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 30-32, July.
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    5. Aloullal, Afaf & Saldanha-da-Gama, Francisco & Todosijević, Raca, 2023. "Multi-period single-allocation hub location-routing: Models and heuristic solutions," European Journal of Operational Research, Elsevier, vol. 310(1), pages 53-70.
    6. Ferreira, Deisemara & Morabito, Reinaldo & Rangel, Socorro, 2009. "Solution approaches for the soft drink integrated production lot sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 196(2), pages 697-706, July.
    7. Correa, Renata Naoko & Scarpin, Cassius Tadeu & Ferrari, Linamara Smaniotto & Arce, Julio Eduardo, 2020. "Application of relax-and-fix heuristic in the aggregation of stands for tactical forest scheduling," Forest Policy and Economics, Elsevier, vol. 119(C).
    8. Baptista, Susana & Barbosa-Póvoa, Ana Paula & Escudero, Laureano F. & Gomes, Maria Isabel & Pizarro, Celeste, 2019. "On risk management of a two-stage stochastic mixed 0–1 model for the closed-loop supply chain design problem," European Journal of Operational Research, Elsevier, vol. 274(1), pages 91-107.

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