SavedAdd your journal

Journals / Uludağ Üniversitesi Mühendislik Fakültesi Dergisi / 2026 / Cilt: 26 Sayı: 2

Machine Scheduling with Maintenance Activities: Literature Review

BAKIM FAALİYETLERİNİ DİKKATE ALAN MAKİNE ÇİZELGELEME: LİTERATÜR ARAŞTIRMASI

Damla Rana Dündar(ESKİŞEHİR OSMANGAZİ ÜNİVERSİTESİ)0000-0002-9286-2817
İnci Sarıçiçek(ESKİŞEHİR OSMANGAZİ ÜNİVERSİTESİ)0000-0002-3528-7342
Ahmet Yazici(ESKİŞEHİR OSMANGAZİ ÜNİVERSİTESİ)0000-0001-5589-2032
Pages
737–756
Publication Date
2021-08-31
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results and findings of this study can be helpful in studies related to the scheduling of the production and maintenance activities.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Efforts on joint planning of production and maintenance activities have increased in the last two decades.
📊
Key Findings & Data:Breakdowns caused by machine failure result in inefficient time and significantly reduce efficiency.
💡
Conclusion & Impact:The results and findings of this study can be helpful in studies related to the scheduling of the production and maintenance activities.
🔬Design:Review & Systematic Survey
📍Scope:Comprehensive Sample
⚙️Variables:Çizelgeleme · Bakım Planlaması · Üretim Planlaması

Abstract

Efforts on joint planning of production and maintenance activities have increased in the last two decades. Production breakdowns due to various reasons cause deviations in the planned production schedule. The resulting ineffective times lead to waste in terms of machine and man-hours. Breakdowns caused by machine failure result in inefficient time and significantly reduce efficiency. For this reason, studies on maintenance activities have increased recently. The purpose of this study is to analyze machine scheduling studies together with maintenance activities. While the body of literature in scheduling is vast to the best of our knowledge, there are no papers that address the review of the papers that include the scheduling of production and maintenance activities. For this reason, our study deals with the presentation of the releated papers to researchers and it is a useful guide to the future studies. The results and findings of this study can be helpful in studies related to the scheduling of the production and maintenance activities.

Özet

Üretim ve bakım faaliyetlerinin birlikte çizelgelenmesi konusunda çalışmalar sanayide dijitalleşmenin artması ile son yirmi yılda artış göstermiştir. Üretimde çeşitli sebeplerden kaynaklı duruşlar planlanan üretim çizelgesinde sapmalara neden olmaktadır. Ortaya çıkan etkin olmayan süreler makine ve adam-saat cinsinden israfa yol açmaktadır. Burada özellikle makine arızası sebebiyle ortaya çıkan beklenmeyen duruşlar, etkin olmayan süreyi artırması ile verimliliği önemli ölçüde düşürmektedir. Bu nedenle, son zamanlarda bakım faaliyetlerinin üretim ile uyumlu yapılması konusunda yapılan çalışmalar artmıştır. Bu çalışmanın amacı, literatürde bakım faaliyetleri ile birlikte makine çizelgelemesi çalışmalarında hangi makine ortamlarında, hangi yöntemlerin kullanıldığı, yapılan çalışmaların hangi dergilerde yayınlandığının analiz edilmesidir. Araştırmacıların çoğunlukla tek makine çizelgeleme konusunda çalıştıkları ve bakım stratejisi olarak en fazla önleyici bakım türünde odaklanıldığı görülmüştür. Son yıllarda kestirimci bakım çalışmaları da başlamış ve yapay zekâ algoritmaları ön plana çıkmıştır. Literatürde çizelgeleme ile ilgili çok fazla çalışma olmasına rağmen üretim ve bakım faaliyetlerinin birlikte ele alındığı çalışmaları derleyen ve analiz eden bir çalışma bulunmamaktadır. Bu sebeple, çalışmamız mevcut literatürü araştırmacılara sunar ve gelecekte yapılabilecek çalışmalara rehberlik eder niteliktedir. Çalışmanın sonuç ve bulguları, üretim ve bakım faaliyetlerinin çizelgelenmesini içeren çalışmalarda yardımcı olabilir niteliktedir.

🔖

Cite This Article

Dündar, D. R., Sarıçiçek, İ., Yazici, A. (2021). Machine Scheduling with Maintenance Activities: Literature Review. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, Cilt: 26 Sayı: 2, 737–756. https://doi.org/10.17482/uumfd.856513

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (117)

  1. Allaoui, H., Lamouri, S., Artiba, A. ve Aghezzaf, E. (2008) Simultaneously scheduling n jobs and the preventive maintenance on the two-machine flow shop to minimize the makespan, International Journal of Production Economics, 112(1), 161–167. doi: 10.1016/j.ijpe.2006.08.017
  2. Ángel-Bello, F., Álvarez, A., Pacheco, J. ve Martínez, I. (2011) A heuristic approach for a scheduling problem with periodic maintenance and sequence-dependent setup times, Computers & Mathematics with Applications, 61(4), 797–808. doi: 10.1016/j.camwa.2010.12.028
  3. Avalos-Rosales, O.,nAngel-Bello, F., Álvarez, A. Ve Cardona-Valdés, Y. (2018) Including preventive maintenance activities in an unrelated parallel machine environment with dependent setup times, Computers & Industrial Engineering, 123, 364–377. doi: 10.1016/j.cie.2018.07.006
  4. Banerjee, A., ve Burton, J. S. (1990) Equipment utilization based maintenance task scheduling in a job shop, European Journal of Operational Research, 45(2-3), 191–202. doi: 10.1016/0377-2217(90)90184-D
  5. Batun, S. ve Azizoğlu, M. (2009) Single machine scheduling with preventive maintenances, International Journal of Production Research, 47(7), 1753–1771. doi: 10.1080/00207540701636348
  6. Ben Ali, M., Sassi, M., Gossa, M. ve Harrath, Y. (2011) Simultaneous scheduling of production and maintenance tasks in the job shop, International Journal of Production Research, 49(13), 3891–3918. doi: 10.1080/00207543.2010.492405
  7. Benbouzid-Si Tayeb, F., Benatchba, K. ve Messiaid, A.-E. (2018) Game theory-based integration of scheduling with flexible and periodic maintenance planning in the permutation flowshop sequencing problem, Operational Research, 18(1), 221–255. doi:10.1007/s12351-016-0261-x
  8. Benmansour, R., Allaoui, H., Artiba, A. ve Hanafi, S. (2014) Minimizing the weighted sum of maximum earliness and maximum tardiness costs on a single machine with periodic preventive maintenance, Computers & Operations Research, 47, 106–113. doi: 10.1016/j.cor.2014.02.004
  9. Boufellouh, R. ve Belkaid, F. (2020) Bi-objective optimization algorithms for joint production and maintenance scheduling under a global resource constraint: Application to the permutation flow shop problem, Computers & Operations Research, 104943. doi: 10.1016/j.cor.2020.104943
  10. Brandolese, M., Franci, M. ve Pozzetti, A. (1996) Production and maintenance integrated planning, International Journal of Production Research, 34(7), 2059–2075. doi: 10.1080/00207549608905013
  11. Cassady, C. R. ve Kutanoglu, E. (2003) Minimizing job tardiness using integrated preventive maintenance planning and production scheduling, IIE Transactions, 35(6), 503–513. doi: 10.1080/07408170304416
  12. Cassady, C. R. ve Kutanoglu, E. (2005) Integrating preventive maintenance planning and production scheduling for a single machine, IEEE Transactions on Reliability, 54(2), 304–309. doi: 10.1109/TR.2005.845967
  13. Chen, J.- S. (2006a) Single-machine scheduling with flexible and periodic maintenance, Journal of the Operational Research Society, 57(6), 703–710. doi: 10.1057/palgrave.jors.2602043
  14. Chen, J. - S. (2006b) Optimization models for the machine scheduling problem with a single flexible maintenance activity, Engineering Optimization, 38(1), 53–71. doi: 10.1080/03052150500270594
  15. Chen, J.- S. (2008) Scheduling of nonresumable jobs and flexible maintenance activities on a single machine to minimize makespan, European Journal of Operational Research, 190(1), 90–102. doi: 10.1016/j.ejor.2007.06.029
  16. Chen, W. J. (2006) Minimizing total flow time in the single-machine scheduling problem with periodic maintenance, Journal of the Operational Research Society, 57(4), 410–415. doi: 10.1057/palgrave.jors.2601998
  17. Chen, W. - J. (2007) An efficient algorithm for scheduling jobs on a machine with periodic maintenance, The International Journal of Advanced Manufacturing Technology, 34(11-12), 1173–1182. doi: 10.1007/s00170-006-0689-x
  18. Chen, W.- J. (2009a) Minimizing number of tardy jobs on a single machine subject to periodic maintenance, Omega, 37(3), 591–599. doi: 10.1016/j.omega.2008.01.001
  19. Chen, W.- J. (2009b) Scheduling with dependent setups and maintenance in a textile company, Computers & Industrial Engineering, 57(3), 867–873. doi: 10.1016/j.cie.2009.03.001
  20. Chen, X., Xiao, L. ve Zhang, X. (2015) A production scheduling problem considering random failure and imperfect preventive maintenance, Journal of Risk and Reliability, 229(1), 26–35. doi: 10.1177/1748006X14545834
  21. Choi, B.- C., Lee, K., Leung, J. Y.- T. ve Pinedo, M. L. (2010) Flow shops with machine maintenance: Ordered and proportionate cases, European Journal of Operational Research, 207(1), 97–104. doi: 10.1016/j.ejor.2010.04.018
  22. Costa, A., Cappadonna, F. A. ve Fichera, S. (2016) Total tardiness minimization in a parallel machine system with flexible periodic maintenance, Journal of Industrial and Production Engineering, 33(7), 485–494. doi: 10.1080/21681015.2015.1136898
  23. Cui, W.- W. ve Lu, Z. (2017) Minimizing the makespan on a single machine with flexible maintenances and jobs’ release dates, Computers & Operations Research, 80, 11–22. doi: 10.1016/j.cor.2016.11.008
  24. Cui, W., Lu, Z., Li ve Han, X. (2018) A proactive approach to solve integrated production scheduling and maintenance planning problem in flow shops, Computers & Industrial Engineering, 115, 342–353. doi: 10.1016/j.cie.2017.11.020
  25. Dalfard, V. M. ve Mohammadi, G. (2012) Two meta-heuristic algorithms for solving multi-objective flexible job-shop scheduling with parallel machine and maintenance constraints, Computers & Mathematics with Applications, 64(6), 2111–2117. doi: 10.1016/j.camwa.2012.04.007
  26. Elhadaf, H., Tkiouat, M., Benmansour, R., Artiba, A. (2013) A joint maintenance and production strategy to minimize the makespan, Proceedıngs of 2013 International Conference on Industrial Engineering and Systems Management (IEEE-IESM 2013).
  27. El Khoukhi, F., Boukachour, J. ve El Hilali Alaoui, A. (2017) The Dual-Ants Colony: A novel hybrid approach for the flexible job shop scheduling problem with preventive maintenance, Computers & Industrial Engineering, 106, 236–255. doi: 10.1016/j.cie.2016.10.019
  28. Feng, H., Tan, C., Xia, T., Pan, E. ve Xi, L. (2018) Joint optimization of preventive maintenance and flexible flowshop sequence-dependent group scheduling considering multiple setups, Engineering Optimization, 1–18. doi: 10.1080/0305215X.2018.1540696
  29. Gao, J., Gen, M. ve Sun, L. (2006) Scheduling jobs and maintenances in flexible job shop with a hybrid genetic algorithm, Journal of Intelligent Manufacturing, 17(4), 493–507. doi: 10.1007/s10845-005-0021-x
  30. Ghaleb, M., Taghipour, S., Sharifi, M. ve Zolfagharinia, H. (2020) Integrated production and maintenance scheduling in a single degrading machine with deterioration-based failures, Computers & Industrial Engineering, 106432. doi: 10.1016/j.cie.2020.106432
  31. Ghodratnama, A., Rabbani, M., Tavakkoli-Moghaddam, R. ve Baboli, A. (2010) Solving a single-machine scheduling problem with maintenance, job deterioration and learning effect by simulated annealing, Journal of Manufacturing Systems, 29(1), 1–9. doi: 10.1016/j.jmsy.2010.06.004
  32. Graves, G. H. ve Lee, C. Y. (1999) Scheduling maintenance and semiresumable jobs on a single machine, Naval Research Logistics, 46(7), 845-863.
  33. Gürel, S. ve Aktürk, M. – S. (2008) Scheduling preventive maintenance on a single CNC machine, International Journal of Production Research, 46(24), 6797–6821. doi: 10.1080/00207540701487833
  34. Hsu, C.- J., Low, C. ve Su, C.- T. (2010) A single-machine scheduling problem with maintenance activities to minimize makespan, Applied Mathematics and Computation, 215(11), 3929–3935. doi: 10.1016/j.amc.2009.11.040
  35. Ji, M., He, Y. ve Cheng, T. C. E. (2007) Single-machine scheduling with periodic maintenance to minimize makespan, Computers & Operations Research, 34(6), 1764–1770. doi: 10.1016/j.cor.2005.05.034
  36. Jin, YL., Jiang, Z.H. ve Hou, W.R. (2008) Multi-objective integrated optimization research on preventive maintenance planning and production scheduling for a single machine, The International Journal of Advanced Manufacturing Technology, 39(9-10), 954–964. doi: 10.1007/s00170-007-1268-5
  37. Jin, Y.- L., Jiang, Z.- H. ve Hou, W.- R. (2009) Integrating flexible-interval preventive maintenance planning with production scheduling, International Journal of Computer Integrated Manufacturing, 22(12), 1089–1101. doi: 10.1080/09511920903207449
  38. Halim, N. N. A., Shariff, S. R. ve Zahari, S. M. (2020) Single-machine integrated production preventive maintenance scheduling: A simheuristic approach, Matematika, 36(2), 113-126. doi: 10.11113/matematika.v36.n2.1168
  39. Khamseh, A., Jolai, F. ve Babaei, M. (2014) Integrating sequence-dependent group scheduling problem and preventive maintenance in flexible flow shops, The Int. Journal of Advanced Manufacturing Technology, 77(1-4), 173–185. doi: 10.1007/s00170-014-6429-8
  40. Khatami, M. ve Zegordi, S. H. (2017) Coordinative production and maintenance scheduling problem with flexible maintenance time intervals, Journal of Intelligent Manufacturing, 28(4), 857–867. doi: 10.1007/s10845-014-1001-9
  41. Kim, B. S. ve Öztürkoğlu, Y. (2013) Scheduling a single machine with multiple preventive maintenance activities and position-based deteriorations using genetic algorithms, The International Journal of Advanced Manufacturing Technology, 67(5-8), 1127–1137. doi: 10.1007/s00170-012-4553-x
  42. Krimi, I., Benmansour, R., Hanafi, S. ve Elhachemi, N. (2019) Two-machine flow shop with synchronized periodic maintenance, RAIRO- Operations Research, 53(1), 351–365. doi: 10.1051/ro/2018062
  43. Köksal, M. (2017) Bakım Planlaması, Ankara: Seçkin Yayıncılık.
  44. Kubzin, M. A. ve Strusevich, V. A. (2006) Planning machine maintenance in two-machine shop scheduling, Operations Research, 54(4), 789–800. doi: 10.1287/opre.1060.0301
  45. Kuo, Y. ve Chang, Z.- A. (2007) Integrated production scheduling and preventive maintenance planning for a single machine under a cumulative damage failure process, Naval Research Logistics, 54(6), 602–614. doi: 10.1002/nav.20232
  46. Lee, C.- Y. ve Chen, Z. - L. (2000) Scheduling jobs and maintenance activities on parallel machines, Naval Research Logistics, 47(2), 145–165.
  47. Lee, J. - Y. ve Kim, Y. - D. (2012) Minimizing the number of tardy jobs in a single-machine scheduling problem with periodic maintenance, Computers & Operations Research, 39(9), 2196–2205. doi: 10.1016/j.cor.2011.11.002
  48. Lee, C.- Y. ve Liman, S. D. (1992) Single machine flow-time scheduling with scheduled mainteance, Acta Informatica, 29(4), 375–382. doi: 10.1007/BF01178778
  49. Lee, C.- Y. ve Lin, C.- S. (2001) Single-machine scheduling with maintenance and repair rate-modifying activities, European Journal of Operational Research, 135(3), 493–513. doi: 10.1016/S0377-2217(00)00322-2
  50. Lee, W.- C., Wang, J.- Y. ve Lee, L.- Y. (2015) A hybrid genetic algorithm for an identical parallel-machine problem with maintenance activity, Journal of the Operational Research Society, 66(11), 1906–1918. doi: 10.1057/jors.2015.19
  51. Lei, D. (2011) Scheduling fuzzy job shop with preventive maintenance through swarm-based neighborhood search, The International Journal of Advanced Manufacturing Technology, 54(9-12), 1121–1128. doi: 10.1007/s00170-010-2989-4
  52. Lei, D. (2013) Multi-objective artificial bee colony for interval job shop scheduling with flexible maintenance, The International Journal of Advanced Manufacturing Technology, 66(9-12), 1835–1843. doi: 10.1007/s00170-012-4463-y
  53. Li, J. ve Pan, Q. (2012) Chemical-reaction optimization for flexible job-shop scheduling problems with maintenance activity, Applied Soft Computing, 12(9), 2896–2912. doi: 10.1016/j.asoc.2012.04.012
  54. Li, J. ve Pan, Q. (2013) Chemical-reaction optimization for solving fuzzy job-shop scheduling problem with flexible maintenance activities, International Journal of Production Economics, 145(1), 4–17. doi: 10.1016/j.ijpe.2012.11.005
  55. Li, J.- Q., Pan, Q.- K. ve Taşgetiren, M. F. (2013) A discrete artificial bee colony algorithm for the multi-objective flexible job-shop scheduling problem with maintenance activities, Applied Mathematical Modelling, 38(3), 1111–1132. doi: 10.1016/j.apm.2013.07.038
  56. Liao, C. J. ve Chen, W. J. (2003) Single-machine scheduling with periodic maintenance and nonresumable jobs, Computers & Operations Research, 30(9), 1335–1347. doi: 10.1016/S0305-0548(02)00074-6
  57. Liao, W., Chen, M. ve Yang, X. (2017) Joint optimization of preventive maintenance and production scheduling for parallel machines system, Journal of Intelligent & Fuzzy Systems, 32(1), 913–923. doi: 10.3233/JIFS-161385
  58. Liu, Q., Dong, M. ve Chen, F. F. (2018) Single-machine-based joint optimization of predictive maintenance planning and production scheduling, Robotics and Computer-Integrated Manufacturing, 51, 238–247. doi: 10.1016/j.rcim.2018.01.002
  59. Liu, M., Wang, S., Chu, C. ve Chu, F. (2016) An improved exact algorithm for single-machine scheduling to minimise the number of tardy jobs with periodic maintenance, International Journal of Production Research, 54(12), 3591–3602. doi: 10.1080/00207543.2015.1108535
  60. Low, C., Hsu, C.- J. ve Su, C.- T. (2010) A modified particle swarm optimization algorithm for a single-machine scheduling problem with periodic maintenance, Expert Systems with Applications, 37(9), 6429–6434. doi: 10.1016/j.eswa.2010.02.075
  61. Lu, Z., Cui, W. ve Han, X. (2015) Integrated production and preventive maintenance scheduling for a single machine with failure uncertainty, Computers & Industrial Engineering, 80, 236–244. doi: 10.1016/j.cie.2014.12.017
  62. Luo, W., Cheng, T. C. E. ve Ji, M. (2015) Single-machine scheduling with a variable maintenance activity, Computers & Industrial Engineering, 79, 168–174. doi: 10.1016/j.cie.2014.11.002
  63. Luo, H., Huang, G. Q., Feng Zhang, Y. ve Yun Dai, Q. (2011) Hybrid flowshop scheduling with batch-discrete processors and machine maintenance in time Windows, International Journal of Production Research, 49(6), 1575–1603. doi: 10.1080/00207541003610262
  64. Mirabedini, S. N. ve Iranmanesh, H. (2014) A scheduling model for serial jobs on parallel machines with different preventive maintenance, The International Journal of Advanced Manufacturing Technology, 70(9-12), 1579–1589. doi: 10.1007/s00170-013-5348-4
  65. Miyata, H. H., Nagano, M. S. ve Gupta, J. N. D. (2018) Incorporating preventive maintenance into the m-machine no-wait flow-shop scheduling problem with total flow-time minimization: a computational study, Engineering Optimization, 1–19. doi: doi:10.1080/0305215x.2018.1485903
  66. Miyata, H. H., Nagano, M. S. ve Gupta, J. N. D. (2019) Integrating preventive maintenance activities to the no-wait flow shop scheduling problem with dependent-sequence setup times and makespan minimization, Computers & Industrial Engineering, 135, 79-104. doi: 10.1016/j.cie.2019.05.034
  67. Mokhtari, H., Mozdgir, A. ve Kamal Abadi, I. N. (2012) A reliability/availability approach to joint production and maintenance scheduling with multiple preventive maintenance services, International Journal of Production Research, 50(20), 5906–5925. doi: 10.1080/00207543.2011.637092
  68. Moradi, E., Fatemi Ghomi, S. M. T. ve Zandieh, M. (2011) Bi-objective optimization research on integrated fixed time interval preventive maintenance and production for scheduling flexible job-shop problem, Expert Systems with Applications, 38(6), 7169–7178. doi: 10.1016/j.eswa.2010.12.043
  69. Mosheiov, G. ve Oron, D. (2006) Due-date assignment and maintenance activity scheduling problem, Mathematical and Computer Modelling, 44(11-12), 1053–1057. doi: 10.1016/j.mcm.2006.03.008
  70. Mosheiov, G. ve Sarig, A. (2009) Scheduling a maintenance activity to minimize total weighted completion-time, Computers & Mathematics with Applications, 57(4), 619–623. doi: 10.1016/j.camwa.2008.11.008
  71. Mosheiov, G., Sarig, A., Strusevich, V. A. ve Mosheiff, J. (2018) Two-machine flow shop and open shop scheduling problems with a single maintenance window, European Journal of Operational Research, 271(2), 388–400. doi: 10.1016/j.ejor.2018.04.019
  72. Naderi, B., Zandieh, M. ve Aminnayeri, M. (2011) Incorporating periodic preventive maintenance into flexible flowshop scheduling problems, Applied Soft Computing, 11(2), 2094–2101. doi: 10.1016/j.asoc.2010.07.008
  73. Naderi, B., Zandieh, M. ve Fatemi Ghomi, S. M. T. (2009a) A study on integrating sequence dependent setup time flexible flow lines and preventive maintenance scheduling, Journal of Intelligent Manufacturing, 20(6), 683–694. doi: 10.1007/s10845-008-0157-6
  74. Naderi, B., Zandieh, M. ve Fatemi Ghomi, S. M. T. (2009b) Scheduling sequence-dependent setup time job shops with preventive maintenance, The International Journal of Advanced Manufacturing Technology, 43(1-2), 170–181. doi: 10.1007/s00170-008-1693-0
  75. Nouri V., B., Fattahi, P. ve Ramezanian, R. (2013) Hybrid firefly-simulated annealing algorithm for the flow shop problem with learning effects and flexible maintenance activities, International Journal of Production Research, 51(12), 3501–3515. doi: 10.1080/00207543.2012.750771
  76. Pacheco, J., Ángel-Bello, F. ve Álvarez, A. (2012) A multi-start tabu search method for a single-machine scheduling problem with periodic maintenance and sequence-dependent set-up times, Journal of Scheduling, 16(6), 661–673. doi: 10.1007/s10951-012-0280-2
  77. Pacheco, J., Porras, S., Casado, S. ve Baruque, B. (2018) Variable neighborhood search with memory for a single-machine scheduling problem with periodic maintenance and sequence-dependent set-up times, Knowledge-Based Systems, 145, 236–249. doi: 10.1016/j.knosys.2018.01.018
  78. Pan, E., Liao, W. ve Xi, L. (2010) Single-machine-based production scheduling model integrated preventive maintenance planning, The International Journal of Advanced Manufacturing Technology, 50(1-4), 365–375. doi: 10.1007/s00170-009-2514-9
  79. Pandey, D., Kulkarni, M. S. ve Vrat, P. (2011) A methodology for joint optimization for maintenance planning, process quality and production scheduling, Computers & Industrial Engineering, 61(4), 1098–1106. doi: 10.1016/j.cie.2011.06.023
  80. Paprocka, I. (2018) The model of maintenance planning and production scheduling for maximising robustness, International Journal of Production Research, 1–22. doi:10.1080/00207543.2018.1492752
  81. Qi, X., Chen, T. ve Tu, F. (1999) Scheduling the maintenance on a single machine, Journal of the Operational Research Society, 50(10), 1071–1078. doi: 10.2307/3009932
  82. Rabinowitz, G., Goren, S. ve Mehrez, A. (2000) Scheduling two machines that require multiple types of maintenance, for a single operation, European Journal of Operational Research, 127(3), 546–564. doi: 10.1016/S0377-2217(99)00338-0
  83. Rebai, M., Kacem, I. ve Adjallah, K. H. (2012) Earliness–tardiness minimization on a single machine to schedule preventive maintenance tasks: metaheuristic and exact methods, Journal of Intelligent Manufacturing, 23(4), 1207–1224. doi: 10.1007/s10845-010-0425-0
  84. Rooeinfar, R., Raissi, S. ve Ghezavati, V. (2018) Stochastic flexible flow shop scheduling problem with limited buffers and fixed interval preventive maintenance: a hybrid approach of simulation and metaheuristic algorithms, Simulation. doi: 10.1177/0037549718809542
  85. Ruiz, R., Carlos García-Díaz, J. ve Maroto, C. (2007) Considering scheduling and preventive maintenance in the flowshop sequencing problem, Computers & Operations Research, 34(11), 3314–3330. doi: 10.1016/j.cor.2005.12.007
  86. Ruiz-Torres, A. J., Paletta, G. ve M’Hallah, R. (2017) Makespan minimisation with sequence-dependent machine deterioration and maintenance events, International Journal of Production Research, 55(2), 462–479. doi: 10.1080/00207543.2016.1187776
  87. Safari, E., Jafar Sadjadi, S. ve Shahanaghi, K. (2010) Scheduling flowshops with condition-based maintenance constraint to minimize expected makespan, The International Journal of Advanced Manufacturing Technology, 46(5-8), 757–767. doi: 10.1007/s00170-009-2151-3
  88. Salmasnia, A. ve Mirabadi-Dastjerd, D. (2017) Joint production and preventive maintenance scheduling for a single degraded machine by considering machine failures, TOP, 25(3), 544–578. doi: 10.1007/s11750-017-0445-4
  89. Sbihi, M. ve Varnier, C. (2008) Single-machine scheduling with periodic and flexible periodic maintenance to minimize maximum tardiness, Computers & Industrial Engineering, 55(4), 830–840. doi: 10.1016/j.cie.2008.03.005
  90. Seidgar, H., Zandieh, M. ve Mahdavi, I. (2016) Bi-objective optimization for integrating production and preventive maintenance scheduling in two-stage assembly flow shop problem, Journal of Industrial and Production Engineering, 33(6), 404–425. doi: 10.1080/21681015.2016.1173599
  91. Shen, J. ve Zhu, K. (2018) An uncertain single machine scheduling problem with periodic maintenance, Knowledge-Based Systems, 144, 32–41. doi: 10.1016/j.knosys.2017.12.021
  92. Shen, J. ve Zhu, Y. (2018) A parallel-machine scheduling problem with periodic maintenance under uncertainty, Journal of Ambient Intelligence and Humanized. doi: 10.1007/s12652-018-1032-8
  93. Sloan, T. (2008) Simultaneous determination of production and maintenance schedules using in-line equipment condition and yield information, Naval Research Logistics, 55(2), 116–129. doi: 10.1002/nav.20270
  94. Sloan, T. W. ve Shanthikumar, J. G. (2000) Combined production and maintenance scheduling for a multiple-product, single- machine production system, Production and Operations Management, 9(4), 379–399. doi: 10.1111/j.1937-5956.2000.tb00465.x
  95. Sortrakul, N., Nachtmann, H. L. ve Cassady, C. R. (2005) Genetic algorithms for integrated preventive maintenance planning and production scheduling for a single machine, Computers in Industry, 56(2), 161–168. doi: 10.1016/j.compind.2004.06.005
  96. Wang, S. (2013) Bi-objective optimisation for integrated scheduling of single machine with setup times and preventive maintenance planning, International Journal of Production Research, 51(12), 3719–3733. doi: 10.1080/00207543.2013.765070
  97. Wang, T., Baldacci, R., Lim, A. ve Hu, Q. (2018) A branch-and-price algorithm for scheduling of deteriorating jobs and flexible periodic maintenance on a single machine, European Journal of Operational Research, 271(3), 826–838. doi: 10.1016/j.ejor.2018.05.050
  98. Wang, S. ve Liu, M. (2013) A branch and bound algorithm for single-machine production scheduling integrated with preventive maintenance planning, International Journal of Production Research, 51(3), 847–868. doi: 10.1080/00207543.2012.676683
  99. Wang, S. ve Liu, M. (2016) Two-machine flow shop scheduling integrated with preventive maintenance planning, International Journal of Systems Science, 47(3), 672–690. doi: 10.1080/00207721.2014.900137
  100. Wang, S. ve Liu, M. (2015) Multi-objective optimization of parallel machine scheduling integrated with multi-resources preventive maintenance planning, Journal of Manufacturing Systems, 37, 182–192. doi: 10.1016/j.jmsy.2015.07.002
  101. Wang, S. ve Yu, J. (2010) An effective heuristic for flexible job-shop scheduling problem with maintenance activities, Computers & Industrial Engineering, 59(3), 436–447. doi: 10.1016/j.cie.2010.05.016
  102. Worrall, B. M. ve Mert, B. (1980) Application of dynamic scheduling rules in maintenance planning and scheduling, International Journal of Production Research, 18(1), 57–71. doi: 10.1080/00207548008919649
  103. Xiao, L., Song, S. L., Chen, X. H., David, W. C. (2016) Joint optimization of production scheduling and machine group preventive maintenance, Reliability Engineering & System Safety, 146(2016) 68–78. doi: 10.1016/j.ress.2015.10.013
  104. Xu, S., Dong, W., Jin, M. ve Wang, L. (2020) Single-Machine Scheduling with Fixed or Flexible Maintenance, Computers & Industrial Engineering, 106203. doi: 10.1016/j.cie.2019.106203
  105. Xu, D. ve Yin, Y. (2011) On single-machine scheduling with flexible maintenance activities, The International Journal of Advanced Manufacturing Technology, 56(9-12), 1139–1145. doi: 10.1007/s00170-011-3249-y
  106. Xu, D., Yin, Y. ve Li, H. (2010) Scheduling jobs under increasing linear machine maintenance time, Journal of Scheduling, 13(4), 443–449. doi: 10.1007/s10951-010-0182-0
  107. Yang, D. - L., Hsu, C. - J. ve Kuo, W. - H. (2008) A two-machine flowshop scheduling problem with a separated maintenance constraint, Computers & Operations Research, 35(3), 876–883. doi: 10.1016/j.cor.2006.04.007
  108. Yang, S., Ma, Y., Xu, D. ve Yang, J. (2011) Minimizing total completion time on a single machine with a flexible maintenance activity, Computers & Operations Research, 38(4), 755–770. doi: 10.1016/j.cor.2010.09.003
  109. Yang, X., Peng, C., Jin, L., Li, Q - Y. (2019) Unrelated Parallel-Machine Scheduling with Maintenance Activities and Rejection Penalties for Minimizing Total Cost, International Journal of Automation Technology, 787-795.
  110. Ying, K.- C., Lu, C.- C. ve Chen, J.- C. (2017) Exact algorithms for single-machine scheduling problems with a variable maintenance, Computers & Industrial Engineering, 98, 427–433. doi: 10.1016/j.cie.2016.05.037
  111. Yoo, J. ve Lee, I. S. (2016) Parallel machine scheduling with maintenance activities, Computers & Industrial Engineering, 101, 361–371. doi: 10.1016/j.cie.2016.09.020
  112. Yu, A. J. ve Seif, J. (2016) Minimizing tardiness and maintenance costs in flow shop scheduling by a lower-bound-based GA, Computers & Industrial Engineering, 97, 26–40. doi: 10.1016/j.cie.2016.03.024
  113. Yu, X., Zhang, Y. ve Steiner, G. (2014) Single-machine scheduling with periodic maintenance to minimize makespan revisited, Journal of Scheduling, 17(3), 263–270. doi: 10.1007/s10951-013-0350-0
  114. Zandieh, M., Sajadi, S. M. ve Behnoud, R. (2017) Integrated production scheduling and maintenance planning in a hybrid flow shop system: a multi-objective approach, International Journal of System Assurance Engineering and Management, 8(S2), 1630–1642. doi: 10.1007/s13198-017-0635-3
  115. Zammori, F., Braglia, M. ve Castellano, D. (2014) Harmony search algorithm for single-machine scheduling problem with planned maintenance, Computers & Industrial Engineering, 76, 333–346. doi: 10.1016/j.cie.2014.08.001
  116. Zhang, X., Liu, S.- C., Lin, W.- C. ve Wu, C.- C. (2020) Parallel-machine scheduling with linear deteriorating jobs and preventive maintenance activities under a potential machine disruption, Computers&Industrial Engineering, 145, 106482. doi: 10.1016/j.cie.2020.106482
  117. Zou, J. ve Yuan, J. - J. (2017) Equivalence of Some Different Maintenance Activities in Single-Machine Scheduling, Journal of the Operations Research Society of China. doi:10.1007/s40305-017-0182-2