Open Access
| Issue |
RAIRO-Oper. Res.
Volume 60, Number 3, May-June 2026
MOAD'2024
|
|
|---|---|---|
| Page(s) | 1701 - 1732 | |
| DOI | https://doi.org/10.1051/ro/2026039 | |
| Published online | 19 June 2026 | |
- M.H. Bassett, P. Dave, F.J. Doyle, G.K. Kudva, J.F. Pekny, G.V. Reklaitis, S. Subrahmanyam, D.L. Miller and M.G. Zentner, Perspectives on model-based integration of process operations. Comput. Chem. Eng. 20 (1996) 821–844. [Google Scholar]
- J. Behnamian, S.M.T. Fatemi Ghomi, B. Karimi and M. Fadaei Moludi, Capacitated lot-sizing and production sequence problem with setups complexity. Int. J. Sci. Technol. (2022). [Google Scholar]
- M.A.F. Belo-Filho, B. Almada-Lobo and F.M.B. Toledo, Models for capacitated lot-sizing problem with backlogging, setup carryover and crossover. J. Oper. Res. Soc. 65 (2013) 1735–1747. [Google Scholar]
- G.R. Bitran and H.H. Yanasse, Computational complexity of the capacitated lot size problem. Manag. Sci. 28 (1982) 1174–1186. [Google Scholar]
- V.C.B. Camargo, F.M. Toledo and B. Almanda-Lobo, Three time-based scale formulations for the two-stage lot sizing and scheduling in process industries. J. Oper. Res. Soc. 63 (2012) 1613–1630. [Google Scholar]
- D.M. Carvalho and M.C.V. Nascimento, Hybrid matheuristics to solve the integrated lot sizing and scheduling problem on parallel machines with sequence-dependent and non-triangular setup. Eur. J. Oper. Res. 296 (2022) 158–173. [Google Scholar]
- P.M. Castro, I.E. Grossmann and Q. Zhang, Expanding scope and computational challenges in process scheduling. Comput. Chem. Eng. 114 (2018) 14–42. [Google Scholar]
- W.H. Chen and J.M. Thizy, Analysis of relaxations for the multi-item capacitated lot-sizing problem. Ann. Oper. Res. 26 (1990) 29–72. [Google Scholar]
- N.T. Chowdhury, M.F. Baki and A. Azab, A modeling and hybridized decomposition approach for the multi-level capacitated lot-sizing problem with setup carryover, backlogging and emission control. Oper. Res. Forum 5 (2024) 68. [Google Scholar]
- A. Clark, B. Almada-Lobo and C. Almeder, Lot sizing and scheduling: industrial extensions and research opportunities. Int. J. Prod. Res. 49 (2011) 2457–2461. [Google Scholar]
- K. Copil, M. Wörbelauer, H. Meyr and H. Tempelmeier, Simultaneous lotsizing and scheduling problems: a classification and review of models. OR Spectr. 39 (2016) 1–64. [Google Scholar]
- S. Das and A. Patnaik, Production planning in the apparel industry. Garment Manufacturing Technology (2015). [Google Scholar]
- G.S. Dastidar and R. Nagi, Scheduling injection molding operations with multiple resource constraints and sequence dependent setup times and costs. Comput. Oper. Res. 32 (2005) 2987–3005. [Google Scholar]
- R. De Matta and M. Guignard, Dynamic production scheduling for a process industry. Oper. Res. 42 (1994) 492–503. [Google Scholar]
- L.S. Dias and M.G. Ierapetritou, From process control to supply chain management: an overview of integrated decision-making strategies. Comput. Chem. Eng. 106 (2017) 826–835. [Google Scholar]
- C. Dillenberger, L.F. Escudero, A. Wollensak and W. Zhan, On practical resource allocation for production planning and scheduling with period overlapping setups. Eur. J. Oper. Res. 75 (1994) 275–286. [Google Scholar]
- A. Djama, Data set for integrated lot sizing and scheduling problem (2025). [Google Scholar]
- A. Djama, Data set for integrated lot sizing and scheduling problem (2026). [Google Scholar]
- A. Djama Maafa and L. Triqui Sari, Multi-item capacitated lot-sizing problem with parallel resources, setup times and costs: a case study, in 2022 2nd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET). IEEE (2022) 1–5. [Google Scholar]
- A. Djama Maafa, L. Triqui Sari and F. Belkaid, Multi-periods production planning for an industrial company, in IEEE 13th International Colloquium of Logistics and Supply Chain Management (LOGISTIQUA) (2020) 1–5. [Google Scholar]
- E. Dos Santos-Meza, M. Oliveira dos Santos and M. Nereu Arenales, A lot-sizing problem in an automated foundry. Eur. J. Oper. Res. 139 (2002) 490–500. [Google Scholar]
- A. Drexl and K. Haase, Proportional lot sizing and scheduling. Int. J. Prod. Econ. 40 (1995) 73–87. [Google Scholar]
- A. Drexl and K. Haase, Sequential-analysis based randomized-regret-methods for lot-sizing and scheduling. J. Oper. Res. Soc. 47 (1996) 251–265. [Google Scholar]
- A. Drexl and A. Kimms, Lot sizing and scheduling survey and extensions. Eur. J. Oper. Res. 99 (1997) 221–235. [Google Scholar]
- A. Dumoulin and C. Vercellis, Tactical models for hierarchical capacitated lot-sizing problems with setups and changeovers. Int. J. Prod. Res. 38 (2000) 51–67. [Google Scholar]
- M. Erdirik-Dogan and I.E. Grossmann, Planning models for parallel batch reactors with sequence-dependent changeovers. AIChE J. 53 (2007) 2284–2300. [Google Scholar]
- M. Erdirik-Dogan and I.E. Grossmann, Slot-based formulation for the short-term scheduling of multistage, multi-product batch plants with sequence-dependent changeovers. Ind. Eng. Chem. Res. 47 (2008) 1159–1183. [Google Scholar]
- D.J. Fiorotto, R. Jans and S.A. de Araujo, An analysis of formulations for the capacitated lot sizing problem with setup crossover. Comput. Ind. Eng. 106 (2016) 338–350. [Google Scholar]
- D.J. Fiorotto, J.D.C. Huaccha Neyra and S.A. de Araujo, Impact analysis of setup carryover and crossover on lot sizing problems. Int. J. Prod. Res. 58 (2020) 6350–6369. [Google Scholar]
- M. Florian, J.K. Lenstra and A.H.G. Rinnooy Kan, Deterministic production planning algorithms and complexity. Manag. Sci. 26 (1980) 669–679. [Google Scholar]
- M. Furlan, B. Almada-Lobo, M. Santos and R. Morabito, Matheuristic for the lot-sizing and scheduling problem in integrated pulp and paper production. Comput. Ind. Eng. 192 (2024) 110183. [Google Scholar]
- Y. Gao, A heuristic procedure for the capacitated lot sizing problem with setup carryover. Control Theory Appl. 17 (2000) 937–940. [Google Scholar]
- D.J. Garcia and F. You, Supply chain design and optimization: Challenges and opportunities. Comput. Chem. Eng. 81 (2015) 153–170. [Google Scholar]
- A. Garre, M.C. Ruiz and E. Hontoria, Application of machine learning to support production planning of a food industry in the context of waste generation under uncertainty. Oper. Res. Perspect. 7 (2020) 100147. [Google Scholar]
- J. Geršak, Planning and organisation of clothing production. Design of Clothing Manufacturing Processes (2013) 87–104. [Google Scholar]
- C. Gicquel, M. Minoux and Y. Dallery, Capacitated lot sizing models: a literature review (2008). [Google Scholar]
- M. Gopalakrishnan, A modified framework for modelling set-up carryover in the capacitated lot-sizing problem. Int. J. Prod. Res. 38 (2000) 3421–3424. [Google Scholar]
- M. Gopalakrishnan, D.M. Miller and C.P. Schmidt, A framework for modelling setup carryover in the capacitated lot sizing problem. Int. J. Prod. Res. 33 (1995) 1973–1988. [Google Scholar]
- M. Gopalakrishnan, K. Ding, J.M. Bourjolly and S. Mohan, A tabu-search heuristic for the capacitated lot-sizing problem with setup carryover. Manag. Sci. 47 (2001) 851–863. [Google Scholar]
- H.G. Goren, S. Tunali and R. Jans, A hybrid approach for the capacitated lot sizing problem with setup carryover. Int. J. Prod. Res. 50 (2012) 1582–1597. [Google Scholar]
- L. Guimarães, D. Klabjan and B. Almada-Lobo, Modeling lot-sizing and scheduling problems with sequence dependent setups. Eur. J. Oper. Res. 239 (2014) 644–662. [Google Scholar]
- D. Gupta and T. Magnusson, The capacitated lot-sizing and scheduling problem with sequence-dependent setup costs and setup times. Comput. Oper. Res. 32 (2005) 727–747. [Google Scholar]
- E. Guzman, B. Andres and R. Poler, Models and algorithms for production planning, scheduling and sequencing problems: a holistic framework and a systematic review. J. Ind. Inf. Integr. (2022) 100287. [Google Scholar]
- K. Haase, Lot Sizing and Scheduling for Production Planning. Springer, Berlin (1994). [Google Scholar]
- K. Haase, Capacitated Lot-Sizing with Linked Production Quantities of Adjacent Periods. Springer, Berlin (1998). [Google Scholar]
- I. Ilhan, An improved simulated annealing algorithm with crossover operator for capacitated vehicle routing problem. Swarm Evol. Comput. 64 (2021) 100911. [CrossRef] [Google Scholar]
- R.J.W. James and B. Almada-Lobo, Single and parallel machine capacitated lotsizing and scheduling: new iterative mip-based neighborhood search heuristics. Comput. Oper. Res. 38 (2011) 1816–1825. [Google Scholar]
- R.A.F. Jans and Z. Degraeve, An industrial extension of the discrete lot-sizing and scheduling problem. IIE Trans. 36 (2004) 47–58. [Google Scholar]
- W. Kaczmarczyk, Modeling multi-period set-up times in the proportional lot-sizing problem. DMMS 3 (2009) 15–35. [Google Scholar]
- W. Kaczmarczyk, Modeling set-up times overlapping two periods in the proportional lot-sizing problem with identical parallel machines. DMMS 7 (2013) 43–50. [Google Scholar]
- J. Kang, Capacitated lot-sizing problem with sequence-dependent setup, setup carryover and setup crossover. Processes 8 (2020) 785. [Google Scholar]
- B. Karimi, S. Fatemi Ghomi and J. Wilson, The capacitated lot sizing problem: review of models and algorithms. OMEGA 31 (2003) 365–378. [Google Scholar]
- V. Kayvanfar, M. Zandieh and M. Arashpour, Hybrid bi-objective economic lot scheduling problem with feasible production plan equipped with an efficient adjunct search technique. Int. J. Syst. Sci.-Oper. Logist. 10 (2023) 2059721. [Google Scholar]
- A. Kimms, Competitive methods for multi-level lot sizing and scheduling: Tabu search and randomized regrets. Int. J. Prod. Res. 34 (1996) 2279–2298. [Google Scholar]
- A. Kimms, Multi-level, single-machine lot sizing and scheduling (with initial inventory). Eur. J. Oper. Res. 89 (1996) 86–99. [Google Scholar]
- A. Kimms, A genetic algorithm for multi-level, multi-machine lot sizing and scheduling. Comput. Oper. Res. 26 (1999) 829–848. [Google Scholar]
- S. Kirkpatrick, C. Daniel Gelatt Jr and M.P. Vecchi, Optimization by simulated annealing. Science 220 (1983) 671–680. [CrossRef] [MathSciNet] [Google Scholar]
- N. Klement, M.. Amine Abdeljaouad, L. Porto and C. Silva, Lot-sizing and scheduling for the plastic injection molding industry – a hybrid optimization approach. Appl. Sci. 11 (2021) 1202. [Google Scholar]
- G. M. Kopanos, L. Puigjaner and C.T. Maravelias, Production planning and scheduling of parallel continuous processes with product families. Ind. Eng. Chem. Res. 50 (2011) 1369–1378. [Google Scholar]
- J. Krarup and O. Bilde, Plant location, set covering and economic lot size: an 0 (mn)-algorithm for structured problems. Numerische Methoden bei Optimierungsaufgaben Band 3: Optimierung bei graphentheoretischen und ganzzahligen Problemen (1977) 155–180. [Google Scholar]
- J. Kumar, G. Yadav and B.P. Agrawal, A hybrid stochastic optimization model for lot sizing and scheduling problem. Cuest. Physioter. 54 (2025) 2007–2018. [Google Scholar]
- Y. Lee and K. Lee, New integer optimization models and an approximate dynamic programming algorithm for the lot-sizing and scheduling problem with sequence-dependent setups. Eur. J. Oper. Res. 302 (2022) 230–243. [Google Scholar]
- M. Mahdieh, A. Clark and M. Bijari, A novel flexible model for lot sizing and scheduling with non-triangular, period overlapping and carryover setups in different machine configurations. Flex. Serv. Manuf. J. 30 (2017) 884–923. [Google Scholar]
- C.T. Maravelias and C. Sung, Integration of production planning and scheduling: overview, challenges and opportunities. Comput. Chem. Eng. 33 (2009) 1919–1930. [Google Scholar]
- F. Marinelli, M.E. Nenni and A. Sforza, Capacitated lot sizing and scheduling with parallel machines and shared buffers: a case study in a packaging company. Ann. Oper. Res. 150 (2007) 177–192. [Google Scholar]
- A. Menezes, B. Clark and B. Almada-Lobo, Capacitated lot-sizing and scheduling with sequence-dependent, periodoverlapping and non-triangular setups. J. Sched. 14 (2010) 209–219. [Google Scholar]
- S. Mohan, M. Gopalakrishnan, R. Marathe and A. Rajan, A note on modelling the capacitated lot-sizing problem with set-up carryover and set-up splitting. Int. J. Prod. Res. 50 (2012) 5538–5543. [Google Scholar]
- A. Osati, E. Mehdizadeh and S. Ebrahimnejad, Metaheuristic approaches for flexible lot-sizing and scheduling with remanufacturing and sequence-dependent setup time. Jordan J. Mech. Ind. Eng. 19 (2025). [Google Scholar]
- P. Porkka, A.P.J. Vepsäläinen and M. Kuula, Multiperiod production planning carrying over set-up time. Int. J. Prod. Res. 41 (2003) 1133–1148. [Google Scholar]
- D. Quadt and H. Kuhn, Capacitated lot-sizing with extensions: a review. 4OR 6 (2008) 61–83. [Google Scholar]
- D. Quadt and H. Kuhn, Capacitated lot sizing and scheduling with parallel machines, back-orders and setup carryover. Nav. Res. Logist. (NRL) 56 (2009) 366–384. [Google Scholar]
- C. Ramesh, R. Kamalakannan, R. Karthik, C. Pavin and S. Dhivaharan, A lot streaming based flow shop scheduling problem using simulated annealing algorithm. Mater. Today Proc. 37 (2021) 241–244. [Google Scholar]
- R. Ramya, C. Rajendran and H. Ziegler, Capacitated lot-sizing problem with production carry-over and set-up splitting: mathematical models. Int. J. Prod. Res. 54 (2016) 2332–2344. [Google Scholar]
- F. Sahling, L. Buschkühl, H. Tempelmeier and S. Helber, Solving a multi-level capacitated lot sizing problem with multi-period setup carry-over via a fix-and-optimize heuristic. Comput. Oper. Res. 36 (2009) 2546–2553. [Google Scholar]
- M.S. Sarbijan and J. Behnamian, Multi-fleet feeder vehicle routing problem using hybrid metaheuristic. Comput. Oper. Res. 141 (2022) 105696. [CrossRef] [Google Scholar]
- M. Schlenkrich and S.N. Parragh, Capacitated multi-item multi-echelon lot sizing with setup carry-over under uncertain demand. Int. J. Prod. Econ. 277 (2024) 109379. [Google Scholar]
- C. Silva and J.M. Magalhaes, Heuristic lot size scheduling on unrelated parallel machines with applications in the textile industry. Comput. Ind. Eng. 50 (2006) 76–89. [Google Scholar]
- C.R. Sox and Y. Gao, The capacitated lot sizing problem with setup carry-over. IIE Trans. 31 (1998) 173–181. [Google Scholar]
- C. Suerie, Modelling of period overlapping setup times. Eur. J. Oper. Res. 174 (2006) 874–886. [Google Scholar]
- C. Suerie and H. Stadtler, The capacitated lot-sizing problem with linked lot sizes. Manag. Sci. 49 (2003) 1039–1054. [Google Scholar]
- C. Sung and C.T. Maravelias, A mixed-integer programming formulation for the general capacitated lot-sizing problem. Comput. Chem. Eng. 32 (2008) 244–259. [Google Scholar]
- C. Sung and C.T. Maravelias, A projection-based method for production planning of multiproduct facilities. AIChE J. 55 (2009) 2614–2630. [Google Scholar]
- P.P. Tambe, Selective maintenance optimization of a multi-component system based on simulated annealing algorithm. Procedia Comput. Sci. 200 (2022) 1412–1421. [Google Scholar]
- H. Tempelmeier and L. Buschkuhl, A heuristic for the dynamic multi-level capacitated lotsizing problem with linked lotsizes for general product structures. OR Spectr. 31 (2009) 385–404. [Google Scholar]
- S. Walton and R. Metters, Production planning by spreadsheet for a start-up firm. PPC 19 (2008) 556–566. [Google Scholar]
- X. Wan, J.F. Pekny and G.V. Reklaitis, Simulation-based optimization with surrogate models – application to supply chain management. Comput. Chem. Eng. 29 (2006) 1317. [Google Scholar]
- T. Wu and L. Shi, Mathematical models for capacitated multi-level production planning problems with linked lot sizes. Int. J. Prod. Res. 49 (2011) 6227–6247. [Google Scholar]
- T. Wu, K. Akartunali, J. Song and L. Shi, Mixed integer programming in production planning with backlogging and setup carryover: modeling and algorithms. DEDS 23 (2012) 1–29. [Google Scholar]
- Y. Zeiträg and J. Rui Figueira, A novel machine-learning rolling horizon heuristic for dynamic lot-sizing and job shop scheduling problems. Int. J. Prod. Res. (2025) 1–27. [Google Scholar]
- Y. Zeiträg, J. Rui Figueira and G. Figueira, A cooperative coevolutionary hyper-heuristic approach to solve lot-sizing and job shop scheduling problems using genetic programming. Int. J. Prod. Res. 62 (2024) 5850–5877. [Google Scholar]
- C. Zhang, D. Zhang and T. Wu, Data-driven branching and selection for lot-sizing and scheduling problems with sequence-dependent setups and setup carryover. Comput. Oper. Res. 132 (2021) 105289. [Google Scholar]
- X. Zhu and W.E. Wilhelm, Scheduling and lot sizing with sequence-dependent setup: a literature review. IIE Trans. 38 (2006) 987–1007. [Google Scholar]
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