In the literature, some works deal with the two-machine flow shop scheduling problem under availability constraints. Most of them consider those constraints only for one machine at a time and also with limited unavailability periods. In this work, we were interested by the unlimited periodic and synchronized maintenance applied on both machines. The problem is NP-hard. We proposed a mixed integer programming model and a variable neighborhood search for solving large instances in order to minimize the makespan. Computational experiments show the efficiency of the proposed methods.
Accepté le :
DOI : 10.1051/ro/2018062
Keywords: Flow shop scheduling, preventive maintenance, mixed integer programming model, variable neighborhood search
Krimi, Issam 1 ; Benmansour, Rachid 1 ; Hanafi, Saïd 1 ; Elhachemi, Nizar 1
@article{RO_2019__53_1_351_0,
author = {Krimi, Issam and Benmansour, Rachid and Hanafi, Sa{\"\i}d and Elhachemi, Nizar},
title = {Two-machine flow shop with synchronized periodic maintenance},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {351--365},
year = {2019},
publisher = {EDP Sciences},
volume = {53},
number = {1},
doi = {10.1051/ro/2018062},
mrnumber = {3912476},
zbl = {1414.90159},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2018062/}
}
TY - JOUR AU - Krimi, Issam AU - Benmansour, Rachid AU - Hanafi, Saïd AU - Elhachemi, Nizar TI - Two-machine flow shop with synchronized periodic maintenance JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 351 EP - 365 VL - 53 IS - 1 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ro/2018062/ DO - 10.1051/ro/2018062 LA - en ID - RO_2019__53_1_351_0 ER -
%0 Journal Article %A Krimi, Issam %A Benmansour, Rachid %A Hanafi, Saïd %A Elhachemi, Nizar %T Two-machine flow shop with synchronized periodic maintenance %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 351-365 %V 53 %N 1 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ro/2018062/ %R 10.1051/ro/2018062 %G en %F RO_2019__53_1_351_0
Krimi, Issam; Benmansour, Rachid; Hanafi, Saïd; Elhachemi, Nizar. Two-machine flow shop with synchronized periodic maintenance. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 1, pp. 351-365. doi: 10.1051/ro/2018062
[1] and , Flow shop scheduling problem with limited machine availability: a heuristic approach. Int. J. Prod. Econ. 99 (2006) 4–15.
[2] , , and , Minimizing the weighted sum of maximum earliness and maximum tardiness costs on a single machine with periodic preventive maintenance. Comput. Oper. Res. 47 (2014) 106–113. | MR | Zbl | DOI
[3] , and , Two-machine job shop problem for makespan minimization under availability constraint. IFAC-PapersOnLine 49 (2016) 132–137.
[4] , , , and , Heuristic algorithms for the two-machine flowshop with limited machine availability. Omega 29 (2001) 599–608.
[5] , An improved approximation algorithm for two-machine flow shop scheduling with an availability constraint. Inf. Process. Lett. 90 (2004) 273–278. | MR | Zbl | DOI
[6] , A polynomial-time approximation scheme for the two-machine flow shop scheduling problem with an availability constraint. Comput. Oper. Res. 33 (2006) 2143–2153. | MR | Zbl
[7] and , Two-machine flowshop scheduling with consecutive availability constraints. Inf. Process. Lett. 71 (1999) 49–54. | MR | Zbl | DOI
[8] and , An improved heuristic for two-machine flowshop scheduling with an availability constraint. Oper. Res. Lett. 26 (2000) 223–229. | MR | Zbl
[9] , , , and , No-wait scheduling of a two-machine flow-shop to minimise the makespan under non-availability constraints and different release dates. Int. J. Prod. Res. 49 (2011) 6273–6286. | DOI
[10] , and , Minimizing the makespan in the two-machine no-wait flow-shop with limited machine availability. Comput. Ind. Eng. 37 (1999) 497–500.
[11] and , A two-machine flowshop with a deteriorating maintenance activity on the second machine. In: Industrial Engineering and Systems Management (IESM), 2015 International Conference on. IEEE (2015) 481–488.
[12] , and , The complexity of flowshop and jobshop scheduling. Math. Oper. Res. 1 (1976) 117–129. | MR | Zbl | DOI
[13] , and , Minimizing the makespan in a flow shop scheduling problem with sequence-dependent setup times and periodic maintenance by a hybrid algorithm. In: 2012 International Conference on Industrial Engineering and Operations Management (2012) 806–814.
[14] and , Handbook of Metaheuristics, Vol. 57. Springer Science & Business Media, Berlin (2006). | MR | Zbl
[15] , , and , Optimization and approximation in deterministic sequencing and scheduling: a survey. Ann. Discrete Math. 5 (1979) 287–326. | MR | Zbl | DOI
[16] , A polynomial-time approximation scheme for the two-machine flow shop problem with several availability constraints. Optim. Lett. 6 (2012) 559–569. | MR | Zbl
[17] , and , An improved heuristic for two-machine flowshop scheduling with an availability constraint and nonresumable jobs. 40R-Q J. Oper. Res. 8 (2010) 87–99. | MR | Zbl | DOI
[18] , A (4/3)- approximation algorithm for a special case of the two machine flow shop problem with several availability constraints. Optim. Lett. 3 (2009) 583–592. | MR | Zbl | DOI
[19] , Approximation results for the two-machine job shop under limited machine availability. OPSEARCH 54 (2017) 651–662. | MR | Zbl | DOI
[20] and , First vs. best improvement: an empirical study. Discrete Appl. Math. 154 (2006) 802–817. | MR | Zbl | DOI
[21] , and , Variable neighbourhood search: methods and applications. Ann. Oper. Res. 175 (2010) 367–407. | MR | Zbl
[22] , , and , Variable neighborhood search: basics and variants. EURO J. Comput. Optim. 5 (2016) 423–454. | MR | Zbl
[23] , and , Makespan minimization on a two-machine flowshop with an availability constraint on the first machine. Int. J. Prod. Econ. 164 (2015) 95–104. | DOI
[24] , and , Single-machine scheduling with periodic maintenance to minimize makespan. Comput. Oper. Res. 34 (2007) 1764–1770. | MR | Zbl | DOI
[25] , Optimal two-and three-stage production schedules with sertup times included. Nav. Res. Logist. Quart. 1 (1954) 61–68. | DOI
[26] and , Efficient branch-and-bound algorithm for minimizing the weighted sum of completion times on a single machine with one availability constraint. Int. J. Prod. Econ. 112 (2008) 138–150. | DOI
[27] , and , Single-machine scheduling with an availability constraint to minimize the weighted sum of the completion times. Comput. Oper. Res. 35 (2008) 827–844. | MR | Zbl
[28] , and , Approximation algorithms for maximizing the weighted number of early jobs on a single machine with non-availability intervals. J. Comb. Optim. 30 (2015) 403–412. | MR | Zbl | DOI
[29] , and , Strongly fully polynomial time approximation scheme for the weighted completion time minimization problem on two-parallel capacitated machines. RAIRO: OR 51 (2017) 1177–1188. | MR | Zbl | Numdam | DOI
[30] , , , and , Two-machine flow shops with limited machine availability. Eur. J. Oper. Res. 136 (2002) 528–540. | MR | Zbl | DOI
[31] , and , Approximation results for flow shop scheduling problems with machine availability constraints. Comput. Oper. Res. 36 (2009) 379–390. | MR | Zbl | DOI
[32] and , Two-machine flow shop no-wait scheduling with machine maintenance. 4OR: A Quart. J. Oper. Res. 3 (2005) 303–313. | MR | Zbl | DOI
[33] and , Planning machine maintenance in two-machine shop scheduling. Oper. Res. 54 (2006) 789–800. | Zbl | DOI
[34] , Machine scheduling with an availability constraint. J. Global Optim. 9 (1996) 395–416. | MR | Zbl | DOI
[35] , Minimizing the makespan in the two-machine flowshop scheduling problem with availability constraint. Oper. Res. Lett. 20 (1997) 129–139. | MR | Zbl | DOI
[36] , Two-machine flowshop scheduling problem with availability constraints. Eur. J. Oper. Res. 114 (1999) 420–429. | Zbl | DOI
[37] and , Heuristics algorithms for two-machine flowshop with availability constraints. Comput. Ind. Eng. 56 (2009) 306–311.
[38] and , A survey of scheduling with deterministic machine availability constraints. Comput. Ind. Eng. 58 (2010) 199–211. | DOI
[39] and , Variable neighborhood search: Principles and applications. Eur. J. Oper. Res. 130 (2001) 449–467. | MR | Zbl | DOI
[40] , and , Incorporating periodic preventive maintenance into flexible flowshop scheduling problems. Appl. Soft Comput. 11 (2011) 2094–2101. | DOI
[41] and , An FPTAS for scheduling a two-machine flowshop with one unavailability interval. Nav. Res. Logistics (NRL) 51 (2004) 307–315. | MR | Zbl | DOI
[42] , and , Study of scheduling problems with machine availability constraint. J. Ind Syst. Eng. 1 (2008) 360–383.
[43] , Scheduling with limited machine availability. Eur. J. Oper. Res. 121 (2000) 1–15. | MR | Zbl
[44] , , and , Nested general variable neighborhood search for the periodic maintenance problem. Eur. J. Oper. Res. 252 (2016) 385–396. | MR | Zbl | DOI
[45] and , Heuristics for two-machine flowshop scheduling with setup times and an availability constraint. Comput. Oper. Res. 34 (2007) 152–162. | Zbl
[46] , , and , Makespan minimization for two parallel machines scheduling with a periodic availability constraint. Comput. Oper. Res. 36 (2009) 1809–1812. | MR | Zbl | DOI
[47] and , Makespan minimization for two parallel machines scheduling with a periodic availability constraint: mathematical programming model, average-case analysis, and anomalies. Appl. Math. Model. 37 (2013) 7561–7567. | MR | Zbl | DOI
[48] , and , A two-machine flowshop scheduling problem with a separated maintenance constraint. Comput. Oper. Res. 35 (2008) 876–883. | MR | Zbl | DOI
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