bc-prod: a specialized branch-and-cut system for lot-sizing problems. bc-prod is a prototype modelling and optimization system designed and able to tackle a wide variety of the discrete-time lot-sizing problems arising both in practice and in the literature. To use bc-prod, the user needs to formulate his/her problem as a mixed integer program using XPRESS-MP’s mp-model, a standard mathematical programming modelling language, taking into account a reserved set of key words for specific lot-sizing objects, such as production variables, storage, and demand data, etc. The problem is then solved by the XPRESS-MP branch-and-bound system including lot-sizing specific preprocessing, cutting planes for different aspects of lot-sizing problems, plus general cutting planes, and a lot-sizing-specific primal heuristic. Results are presented for a wide variety of big bucket and small bucket models with set-up and start-up costs and times.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 42 articles )

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  1. Boland, Natashia L.; Savelsbergh, Martin W. P.: Perspectives on integer programming for time-dependent models (2019)
  2. Wei, Mingyuan; Qi, Mingyao; Wu, Tao; Zhang, Canrong: Distance and matching-induced search algorithm for the multi-level lot-sizing problem with substitutable bill of materials (2019)
  3. Büyüktahtakın, İ. Esra; Smith, J. Cole; Hartman, Joseph C.: Partial objective inequalities for the multi-item capacitated lot-sizing problem (2018)
  4. Doostmohammadi, Mahdi; Akartunalı, Kerem: Valid inequalities for two-period relaxations of big-bucket lot-sizing problems: zero setup case (2018)
  5. Guido, Rosita; Groccia, Maria Carmela; Conforti, Domenico: An efficient matheuristic for offline patient-to-bed assignment problems (2018)
  6. Lozano, Leonardo; Smith, J. Cole: A backward sampling framework for interdiction problems with fortification (2017)
  7. Raiconi, Andrea; Pahl, Julia; Gentili, Monica; Voß, Stefan; Cerulli, Raffaele: Tactical production and lot size planning with lifetime constraints: a comparison of model formulations (2017)
  8. Boland, Natashia; Clement, Riley; Waterer, Hamish: A bucket indexed formulation for nonpreemptive single machine scheduling problems (2016)
  9. de Araujo, Silvio Alexandre; de Reyck, Bert; Degraeve, Zeger; Fragkos, Ioannis; Jans, Raf: Period decompositions for the capacitated lot sizing problem with setup times (2015)
  10. Fiorotto, Diego Jacinto; de Araujo, Silvio Alexandre; Jans, Raf: Hybrid methods for lot sizing on parallel machines (2015)
  11. Motta Toledo, Claudio Fabiano; da Silva Arantes, Márcio; Bressan Hossomi, Marcelo Yukio; Morelato França, Paulo; Akartunalı, Kerem: A relax-and-fix with fix-and-optimize heuristic applied to multi-level lot-sizing problems (2015)
  12. Absi, Nabil; Detienne, Boris; Dauzère-Pérès, Stéphane: Heuristics for the multi-item capacitated lot-sizing problem with lost sales (2013)
  13. Caserta, Marco; Voß, Stefan: A math-heuristic Dantzig-Wolfe algorithm for capacitated lot sizing (2013)
  14. Wu, Tao; Akartunalı, Kerem; Song, Jie; Shi, Leyuan: Mixed integer programming in production planning with backlogging and setup carryover: modeling and algorithms (2013)
  15. Akartunalı, Kerem; Miller, Andrew J.: A computational analysis of lower bounds for big bucket production planning problems (2012)
  16. Wu, Tao; Shi, Leyuan; Geunes, Joseph; Akartunalı, Kerem: On the equivalence of strong formulations for capacitated multi-level lot sizing problems with setup times (2012)
  17. Wu, Tao; Shi, Leyuan; Song, Jie: An MIP-based interval heuristic for the capacitated multi-level lot-sizing problem with setup times (2012)
  18. Zhang, Minjiao; Küçükyavuz, Simge; Yaman, Hande: A polyhedral study of multiechelon lot sizing with intermediate demands (2012)
  19. Guan, Yongpei: Stochastic lot-sizing with backlogging: computational complexity analysis (2011)
  20. Buschkühl, Lisbeth; Sahling, Florian; Helber, Stefan; Tempelmeier, Horst: Dynamic capacitated lot-sizing problems: a classification and review of solution approaches (2010)

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