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A Fix-and-Optimize Approach for the Multi-Level Capacitated Lot Sizing Problems

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  1. Alireza Etminaniesfahani & Hanyu Gu & Leila Moslemi Naeni & Amir Salehipour, 2024. "An efficient relax-and-solve method for the multi-mode resource constrained project scheduling problem," Annals of Operations Research, Springer, vol. 338(1), pages 41-68, July.
  2. Dienstknecht, Michael & Briskorn, Dirk, 2024. "Sharing in construction projects — On determining optimal container assignments for the on-site accommodation of trades," European Journal of Operational Research, Elsevier, vol. 315(1), pages 324-337.
  3. Rowshannahad, Mehdi & Absi, Nabil & Dauzère-Pérès, Stéphane & Cassini, Bernard, 2018. "Multi-item bi-level supply chain planning with multiple remanufacturing of reusable by-products," International Journal of Production Economics, Elsevier, vol. 198(C), pages 25-37.
  4. Hashemi-Petroodi, S. Ehsan & Thevenin, Simon & Kovalev, Sergey & Dolgui, Alexandre, 2022. "Model-dependent task assignment in multi-manned mixed-model assembly lines with walking workers," Omega, Elsevier, vol. 113(C).
  5. Coindreau, Marc-Antoine & Gallay, Olivier & Zufferey, Nicolas & Laporte, Gilbert, 2021. "Inbound and outbound flow integration for cross-docking operations," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1153-1163.
  6. Sahling, Florian & Buschkühl, Lisbeth & Tempelmeier, Horst & Helber, Stefan, 2008. "Solving a Multi-Level Capacitated Lot Sizing Problem with Multi-Period Setup Carry-Over via a Fix-and-Optimize Heuristic," Hannover Economic Papers (HEP) dp-400, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  7. Neves-Moreira, Fábio & Pereira da Silva, Diogo & Guimarães, Luís & Amorim, Pedro & Almada-Lobo, Bernardo, 2018. "The time window assignment vehicle routing problem with product dependent deliveries," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 163-183.
  8. Charles, Mehdi & Dauzère-Pérès, Stéphane & Kedad-Sidhoum, Safia & Mazhoud, Issam, 2022. "Motivations and analysis of the capacitated lot-sizing problem with setup times and minimum and maximum ending inventories," European Journal of Operational Research, Elsevier, vol. 302(1), pages 203-220.
  9. Sereshti, Narges & Adulyasak, Yossiri & Jans, Raf, 2024. "Managing flexibility in stochastic multi-level lot sizing problem with service level constraints," Omega, Elsevier, vol. 122(C).
  10. Cunha, Jesus O. & Melo, Rafael A., 2021. "Valid inequalities, preprocessing, and an effective heuristic for the uncapacitated three-level lot-sizing and replenishment problem with a distribution structure," European Journal of Operational Research, Elsevier, vol. 295(3), pages 874-892.
  11. Sahling, Florian & Hahn, Gerd J., 2019. "Dynamic lot sizing in biopharmaceutical manufacturing," International Journal of Production Economics, Elsevier, vol. 207(C), pages 96-106.
  12. Stadtler, Hartmut, 2011. "Multi-level single machine lot-sizing and scheduling with zero lead times," European Journal of Operational Research, Elsevier, vol. 209(3), pages 241-252, March.
  13. Jing, Fuying & Chao, Xiangrui, 2022. "Forecast horizons for a two-echelon dynamic lot-sizing problem," Omega, Elsevier, vol. 110(C).
  14. Thevenin, Simon & Ben-Ammar, Oussama & Brahimi, Nadjib, 2022. "Robust optimization approaches for purchase planning with supplier selection under lead time uncertainty," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1199-1215.
  15. Zamani Dadaneh, Dariush & Moradi, Sajad & Alizadeh, Behrooz, 2023. "Simultaneous planning of purchase orders, production, and inventory management under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 265(C).
  16. Zhang, Zhi-Hai & Jiang, Hai & Pan, Xunzhang, 2012. "A Lagrangian relaxation based approach for the capacitated lot sizing problem in closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 140(1), pages 249-255.
  17. Gislaine Mara Melega & Silvio Alexandre de Araujo & Reinaldo Morabito, 2020. "Mathematical model and solution approaches for integrated lot-sizing, scheduling and cutting stock problems," Annals of Operations Research, Springer, vol. 295(2), pages 695-736, December.
  18. Xiao, Yiyong & Zhang, Renqian & Zhao, Qiuhong & Kaku, Ikou & Xu, Yuchun, 2014. "A variable neighborhood search with an effective local search for uncapacitated multilevel lot-sizing problems," European Journal of Operational Research, Elsevier, vol. 235(1), pages 102-114.
  19. Wei, Mingyuan & Qi, Mingyao & Wu, Tao & Zhang, Canrong, 2019. "Distance and matching-induced search algorithm for the multi-level lot-sizing problem with substitutable bill of materials," European Journal of Operational Research, Elsevier, vol. 277(2), pages 521-541.
  20. Wolter, Anja & Helber, Stefan, 2013. "Simultaneous Production and Maintenance Planning for a Single Capacitated Resource facing both a Dynamic Demand and Intensive Wear and Tear," Hannover Economic Papers (HEP) dp-522, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  21. Hartmut Stadtler & Nikolai Heinrichs, 2024. "Multi-period descriptive sampling for scenario generation applied to the stochastic capacitated lot-sizing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 46(3), pages 639-668, September.
  22. Yajaira Cardona-Valdés & Samuel Nucamendi-Guillén & Rodrigo E. Peimbert-García & Gustavo Macedo-Barragán & Eduardo Díaz-Medina, 2020. "A New Formulation for the Capacitated Lot Sizing Problem with Batch Ordering Allowing Shortages," Mathematics, MDPI, vol. 8(6), pages 1-16, June.
  23. 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).
  24. Carvalho, Desiree M. & Nascimento, Mariá C.V., 2022. "Hybrid matheuristics to solve the integrated lot sizing and scheduling problem on parallel machines with sequence-dependent and non-triangular setup," European Journal of Operational Research, Elsevier, vol. 296(1), pages 158-173.
  25. Simonis, Michael & Nickel, Stefan, 2025. "A simulation–optimization approach for capacitated lot-sizing in a multi-level pharmaceutical tablets manufacturing process," European Journal of Operational Research, Elsevier, vol. 324(1), pages 49-61.
  26. Soares, Ricardo & Marques, Alexandra & Amorim, Pedro & Rasinmäki, Jussi, 2019. "Multiple vehicle synchronisation in a full truck-load pickup and delivery problem: A case-study in the biomass supply chain," European Journal of Operational Research, Elsevier, vol. 277(1), pages 174-194.
  27. Ahmed Senoussi & Youcef Boutarfa & Nadjib Brahimi & Tarik Aouam, 2024. "Sustainable Hybrid Manufacturing and Refurbishing Systems with Substitution," Sustainability, MDPI, vol. 16(17), pages 1-33, August.
  28. Junqueira, Rogerio de Ávila Ribeiro & Morabito, Reinaldo, 2019. "Modeling and solving a sugarcane harvest front scheduling problem," International Journal of Production Economics, Elsevier, vol. 213(C), pages 150-160.
  29. Melega, Gislaine Mara & Xu, Chi & Jans, Raf & Paquette, Julie, 2025. "An integrated approach for lot-sizing and storage assignment," Omega, Elsevier, vol. 131(C).
  30. Boutarfa, Y. & Senoussi, A. & Brahimi, N. & Aouam, T., 2024. "Integration and substitution in hybrid manufacturing and refurbishing systems," International Journal of Production Economics, Elsevier, vol. 274(C).
  31. Alexander Franz & Julia Rieck & Jürgen Zimmermann, 2019. "Fix-and-optimize procedures for solving the long-term unit commitment problem with pumped storages," Annals of Operations Research, Springer, vol. 274(1), pages 241-265, March.
  32. Markus Mickein & Matthes Koch & Knut Haase, 2022. "A Decision Support System for Brewery Production Planning at Feldschlösschen," Interfaces, INFORMS, vol. 52(2), pages 158-172, March.
  33. Horst Tempelmeier & Karina Copil, 2016. "Capacitated lot sizing with parallel machines, sequence-dependent setups, and a common setup operator," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 819-847, October.
  34. Stadtler, Hartmut & Sahling, Florian, 2013. "A lot-sizing and scheduling model for multi-stage flow lines with zero lead times," European Journal of Operational Research, Elsevier, vol. 225(3), pages 404-419.
  35. Duygu Aghazadeh & Kadir Ertogral, 2025. "A fix and optimize method based approximate dynamic programming approach for the strategic fleet sizing and delivery planning problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 33(1), pages 91-119, March.
  36. Diego Fiorotto & Silvio Araujo, 2014. "Reformulation and a Lagrangian heuristic for lot sizing problem on parallel machines," Annals of Operations Research, Springer, vol. 217(1), pages 213-231, June.
  37. Marcos Mansano Furlan & Maristela Oliveira Santos, 2017. "BFO: a hybrid bees algorithm for the multi-level capacitated lot-sizing problem," Journal of Intelligent Manufacturing, Springer, vol. 28(4), pages 929-944, April.
  38. Franco Basso & Juan Pablo Contreras & Raúl Pezoa & Alejandro Troncozo & Mauricio Varas, 2023. "Optimizing the wine transportation process from bottling plants to ports," Operational Research, Springer, vol. 23(2), pages 1-28, June.
  39. Silvio Alexandre de Araujo & Bert De Reyck & Zeger Degraeve & Ioannis Fragkos & Raf Jans, 2015. "Period Decompositions for the Capacitated Lot Sizing Problem with Setup Times," INFORMS Journal on Computing, INFORMS, vol. 27(3), pages 431-448, August.
  40. Hadi Farhangi, 2021. "Multi-Echelon Supply Chains with Lead Times and Uncertain Demands," SN Operations Research Forum, Springer, vol. 2(3), pages 1-25, September.
  41. Campelo, Pedro & Neves-Moreira, Fábio & Amorim, Pedro & Almada-Lobo, Bernardo, 2019. "Consistent vehicle routing problem with service level agreements: A case study in the pharmaceutical distribution sector," European Journal of Operational Research, Elsevier, vol. 273(1), pages 131-145.
  42. Yilmaz, Dogacan & Büyüktahtakın, İ. Esra, 2024. "An expandable machine learning-optimization framework to sequential decision-making," European Journal of Operational Research, Elsevier, vol. 314(1), pages 280-296.
  43. Neves-Moreira, Fábio & Veldman, Jasper & Teunter, Ruud H., 2021. "Service operation vessels for offshore wind farm maintenance: Optimal stock levels," Renewable and Sustainable Energy Reviews, Elsevier, vol. 146(C).
  44. Neves-Moreira, Fábio & Almada-Lobo, Bernardo & Cordeau, Jean-François & Guimarães, Luís & Jans, Raf, 2019. "Solving a large multi-product production-routing problem with delivery time windows," Omega, Elsevier, vol. 86(C), pages 154-172.
  45. Lang, Jan Christian & Shen, Zuo-Jun Max, 2011. "Fix-and-optimize heuristics for capacitated lot-sizing with sequence-dependent setups and substitutions," European Journal of Operational Research, Elsevier, vol. 214(3), pages 595-605, November.
  46. Absi, Nabil & van den Heuvel, Wilco, 2019. "Worst case analysis of Relax and Fix heuristics for lot-sizing problems," European Journal of Operational Research, Elsevier, vol. 279(2), pages 449-458.
  47. Karla B. Freitas & Márcio S. Arantes & Claudio F. M. Toledo & Alexandre C. B. Delbem, 2020. "MIQP model and improvement heuristic for power loss minimization in distribution system with network reconfiguration," Journal of Heuristics, Springer, vol. 26(1), pages 59-81, February.
  48. Al-Shihabi, Sameh, 2021. "A Novel Core-Based Optimization Framework for Binary Integer Programs- the Multidemand Multidimesional Knapsack Problem as a Test Problem," Operations Research Perspectives, Elsevier, vol. 8(C).
  49. Stefan Helber & Daniel Böhme & Farid Oucherif & Svenja Lagershausen & Steffen Kasper, 2016. "A hierarchical facility layout planning approach for large and complex hospitals," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 5-29, June.
  50. Camargo, Victor C.B. & Toledo, Franklina M.B. & Almada-Lobo, Bernardo, 2014. "HOPS – Hamming-Oriented Partition Search for production planning in the spinning industry," European Journal of Operational Research, Elsevier, vol. 234(1), pages 266-277.
  51. Dumez, Dorian & Tilk, Christian & Irnich, Stefan & Lehuédé, Fabien & Olkis, Katharina & Péton, Olivier, 2023. "A matheuristic for a 2-echelon vehicle routing problem with capacitated satellites and reverse flows," European Journal of Operational Research, Elsevier, vol. 305(1), pages 64-84.
  52. Ferreira, Deisemara & Clark, Alistair R. & Almada-Lobo, Bernardo & Morabito, Reinaldo, 2012. "Single-stage formulations for synchronised two-stage lot sizing and scheduling in soft drink production," International Journal of Production Economics, Elsevier, vol. 136(2), pages 255-265.
  53. Yongjian Li & Xiaoqiang Cai & Lei Xu & Wenxia Yang, 2016. "Heuristic approach on dynamic lot-sizing model for durable products with end-of-use constraints," Annals of Operations Research, Springer, vol. 242(2), pages 265-283, July.
  54. Ahmed Senoussi & Youcef Boutarfa & Nadjib Brahimi & Tarik Aouam, 2024. "Sustainable Hybrid Manufacturing and Refurbishing Systems with Substitution," Post-Print hal-05030212, HAL.
  55. Dávid Gyulai & András Pfeiffer & László Monostori, 2017. "Robust production planning and control for multi-stage systems with flexible final assembly lines," International Journal of Production Research, Taylor & Francis Journals, vol. 55(13), pages 3657-3673, July.
  56. Neves-Moreira, F. & Amorim, P. & Guimarães, L. & Almada-Lobo, B., 2016. "A long-haul freight transportation problem: Synchronizing resources to deliver requests passing through multiple transshipment locations," European Journal of Operational Research, Elsevier, vol. 248(2), pages 487-506.
  57. Wei, Wenchao & Guimarães, Luis & Amorim, Pedro & Almada-Lobo, Bernardo, 2017. "Tactical production and distribution planning with dependency issues on the production process," Omega, Elsevier, vol. 67(C), pages 99-114.
  58. Taillard, Éric D. & Helsgaun, Keld, 2019. "POPMUSIC for the travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 272(2), pages 420-429.
  59. Chen, Haoxun, 2015. "Fix-and-optimize and variable neighborhood search approaches for multi-level capacitated lot sizing problems," Omega, Elsevier, vol. 56(C), pages 25-36.
  60. Rasmus Ø. Mikkelsen & Dennis S. Holm, 2022. "A parallelized matheuristic for the International Timetabling Competition 2019," Journal of Scheduling, Springer, vol. 25(4), pages 429-452, August.
  61. Neves-Moreira, Fábio & Amorim-Lopes, Mário & Amorim, Pedro, 2020. "The multi-period vehicle routing problem with refueling decisions: Traveling further to decrease fuel cost?," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
  62. Michael Jahr, 2022. "Teaching Mathematical Modelling and Programming with GAMS in Dual Management Master Curricula Using Flipped Classrooms and Open Book Exams," SN Operations Research Forum, Springer, vol. 3(3), pages 1-12, September.
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