How to cite this paper
Xue, H., Meng, L., Duan, P., Zhang, B., Zou, W & Sang, H. (2024). Modeling and optimization of the hybrid flow shop scheduling problem with sequence-dependent setup times.International Journal of Industrial Engineering Computations , 15(2), 473-490.
Refrences
Allahverdi, A. (2015). The third comprehensive survey on scheduling problems with setup times/costs. European journal of operational research, 246(2), 345-378.
Behnamian, J., & Ghomi, S. F. (2011). Hybrid flowshop scheduling with machine and resource-dependent processing times. Applied Mathematical Modelling, 35(3), 1107-1123.
Dai, L.-L., Pan, Q.-K., Miao, Z.-H., Suganthan, P. N., & Gao, K.-Z. (2023). Multi-Objective Multi-Picking-Robot Task Allocation: Mathematical Model and Discrete Artificial Bee Colony Algorithm. IEEE Transactions on Intelligent Transportation Systems.
Engin, O., & Döyen, A. (2004). A new approach to solve hybrid flow shop scheduling problems by artificial immune system. Future generation computer systems, 20(6), 1083-1095.
Fan, J., Li, Y., Xie, J., Zhang, C., Shen, W., & Gao, L. (2021). A hybrid evolutionary algorithm using two solution representations for hybrid flow-shop scheduling problem. IEEE Transactions on Cybernetics.
Fattahi, P., Hosseini, S. M. H., Jolai, F., & Tavakkoli-Moghaddam, R. (2014). A branch and bound algorithm for hybrid flow shop scheduling problem with setup time and assembly operations. Applied Mathematical Modelling, 38(1), 119-134.
Garey, M. R., & Johnson, D. S. (1978). ``strong''np-completeness results: Motivation, examples, and implications. Journal of the ACM (JACM), 25(3), 499-508.
Gómez-Gasquet, P., Andrés, C., & Lario, F.-C. (2012). An agent-based genetic algorithm for hybrid flowshops with sequence dependent setup times to minimise makespan. Expert Systems with Applications, 39(9), 8095-8107.
Gupta, J. N. (1986). Flowshop schedules with sequence dependent setup times. Journal of the Operations Research Society of Japan, 29(3), 206-219.
He, X., Pan, Q.-K., Gao, L., Neufeld, J. S., & Gupta, J. N. (2024). Historical information based iterated greedy algorithm for distributed flowshop group scheduling problem with sequence-dependent setup times. Omega, 123, 102997.
Jemmali, M., & Hidri, L. (2023). Hybrid Flow Shop with Setup Times Scheduling Problem. Comput. Syst. Sci. Eng, 44, 563-577.
Johnson, S. M. (1954). Optimal two‐and three‐stage production schedules with setup times included. Naval research logistics quarterly, 1(1), 61-68.
Jungwattanakit, J., Reodecha, M., Chaovalitwongse, P., & Werner, F. (2005). An evaluation of sequencing heuristics for flexible flowshop scheduling problems with unrelated parallel machines and dual criteria. Otto-von-Guericke-Universitat Magdeburg, 28(05), 1-23.
Jungwattanakit, J., Reodecha, M., Chaovalitwongse, P., & Werner, F. (2008). Algorithms for flexible flow shop problems with unrelated parallel machines, setup times, and dual criteria. The International Journal of Advanced Manufacturing Technology, 37, 354-370.
Karaboga, D. (2005). An idea based on honey bee swarm for numerical optimization. Retrieved from
Karaboga, D., & Basturk, B. (2008). On the performance of artificial bee colony (ABC) algorithm. Applied Soft Computing, 8(1), 687-697.
Khare, A., & Agrawal, S. (2019). Scheduling hybrid flowshop with sequence-dependent setup times and due windows to minimize total weighted earliness and tardiness. Computers & Industrial Engineering, 135, 780-792.
Kurz, M. E., & Askin, R. G. (2003). Comparing scheduling rules for flexible flow lines. International Journal of Production Economics, 85(3), 371-388.
Lee, G.-C., Hong, J. M., & Choi, S.-H. (2015). Efficient heuristic algorithm for scheduling two-stage hybrid flowshop with sequence-dependent setup times. Mathematical Problems in Engineering, 2015.
Liao, C.-J., Tjandradjaja, E., & Chung, T.-P. (2012). An approach using particle swarm optimization and bottleneck heuristic to solve hybrid flow shop scheduling problem. Applied Soft Computing, 12(6), 1755-1764.
Liao, Y., Zhantao, L., Li, X., & Chenfeng, P. (2022). Heuristics for the Hybrid Flow Shop Scheduling Problem with Sequence-Dependent Setup times. Mathematical Problems in Engineering, 2022.
Meng, L., Duan, P., Gao, K., Zhang, B., Zou, W., Han, Y., & Zhang, C. (2024). MIP modeling of energy-conscious FJSP and its extended problems: From simplicity to complexity. Expert Systems with Applications, 241, 122594.
Meng, L., Gao, K., Ren, Y., Zhang, B., Sang, H., & Chaoyong, Z. (2022). Novel MILP and CP models for distributed hybrid flowshop scheduling problem with sequence-dependent setup times. Swarm and Evolutionary Computation, 71, 101058.
Meng, L., Zhang, C., Ren, Y., Zhang, B., & Lv, C. (2020). Mixed-integer linear programming and constraint programming formulations for solving distributed flexible job shop scheduling problem. Computers & Industrial Engineering, 142, 106347.
Meng, L., Zhang, C., Zhang, B., Gao, K., Ren, Y., & Sang, H. (2023). MILP modeling and optimization of multi-objective flexible job shop scheduling problem with controllable processing times. Swarm and Evolutionary Computation, 82, 101374.
Naderi, B., Zandieh, M., Balagh, A. K. G., & Roshanaei, V. (2009). An improved simulated annealing for hybrid flowshops with sequence-dependent setup and transportation times to minimize total completion time and total tardiness. Expert Systems with Applications, 36(6), 9625-9633.
Nishi, T., Hiranaka, Y., & Inuiguchi, M. (2010). Lagrangian relaxation with cut generation for hybrid flowshop scheduling problems to minimize the total weighted tardiness. Computers & Operations Research, 37(1), 189-198.
Ozsoydan, F. B., & Sağir, M. (2021). Iterated greedy algorithms enhanced by hyper-heuristic based learning for hybrid flexible flowshop scheduling problem with sequence dependent setup times: a case study at a manufacturing plant. Computers & Operations Research, 125, 105044.
Pan, Q.-K., & Dong, Y. (2014). An improved migrating birds optimisation for a hybrid flowshop scheduling with total flowtime minimisation. Information Sciences, 277, 643-655.
Pan, Q.-K., Gao, L., Li, X.-Y., & Gao, K.-Z. (2017). Effective metaheuristics for scheduling a hybrid flowshop with sequence-dependent setup times. Applied Mathematics and Computation, 303, 89-112.
Pan, Q.-K., Wang, L., Li, J.-Q., & Duan, J.-H. (2014). A novel discrete artificial bee colony algorithm for the hybrid flowshop scheduling problem with makespan minimisation. Omega, 45, 42-56.
Pan, Q.-K., Wang, L., Mao, K., Zhao, J.-H., & Zhang, M. (2012). An effective artificial bee colony algorithm for a real-world hybrid flowshop problem in steelmaking process. IEEE Transactions on Automation Science and Engineering, 10(2), 307-322.
Rashidi, E., Jahandar, M., & Zandieh, M. (2010). An improved hybrid multi-objective parallel genetic algorithm for hybrid flow shop scheduling with unrelated parallel machines. The International Journal of Advanced Manufacturing Technology, 49, 1129-1139.
Ruiz, R., & Maroto, C. (2006). A genetic algorithm for hybrid flowshops with sequence dependent setup times and machine eligibility. European journal of operational research, 169(3), 781-800.
Salvador, M. (1973). Asolution to a special class of flow shop scheduling problems. Lecture Notes in Economics and Mathematical Systems, 86, 83-91.
Tian, H., Li, K., & Liu, W. (2016). A pareto-based adaptive variable neighborhood search for biobjective hybrid flow shop scheduling problem with sequence-dependent setup time. Mathematical Problems in Engineering, 2016.
Xu, Y., & Wang, L. (2011). Differential evolution algorithm for hybrid flow-shop scheduling problems. Journal of Systems Engineering and Electronics, 22(5), 794-798.
Zandieh, M., Ghomi, S. F., & Husseini, S. M. (2006). An immune algorithm approach to hybrid flow shops scheduling with sequence-dependent setup times. Applied Mathematics and Computation, 180(1), 111-127.
Behnamian, J., & Ghomi, S. F. (2011). Hybrid flowshop scheduling with machine and resource-dependent processing times. Applied Mathematical Modelling, 35(3), 1107-1123.
Dai, L.-L., Pan, Q.-K., Miao, Z.-H., Suganthan, P. N., & Gao, K.-Z. (2023). Multi-Objective Multi-Picking-Robot Task Allocation: Mathematical Model and Discrete Artificial Bee Colony Algorithm. IEEE Transactions on Intelligent Transportation Systems.
Engin, O., & Döyen, A. (2004). A new approach to solve hybrid flow shop scheduling problems by artificial immune system. Future generation computer systems, 20(6), 1083-1095.
Fan, J., Li, Y., Xie, J., Zhang, C., Shen, W., & Gao, L. (2021). A hybrid evolutionary algorithm using two solution representations for hybrid flow-shop scheduling problem. IEEE Transactions on Cybernetics.
Fattahi, P., Hosseini, S. M. H., Jolai, F., & Tavakkoli-Moghaddam, R. (2014). A branch and bound algorithm for hybrid flow shop scheduling problem with setup time and assembly operations. Applied Mathematical Modelling, 38(1), 119-134.
Garey, M. R., & Johnson, D. S. (1978). ``strong''np-completeness results: Motivation, examples, and implications. Journal of the ACM (JACM), 25(3), 499-508.
Gómez-Gasquet, P., Andrés, C., & Lario, F.-C. (2012). An agent-based genetic algorithm for hybrid flowshops with sequence dependent setup times to minimise makespan. Expert Systems with Applications, 39(9), 8095-8107.
Gupta, J. N. (1986). Flowshop schedules with sequence dependent setup times. Journal of the Operations Research Society of Japan, 29(3), 206-219.
He, X., Pan, Q.-K., Gao, L., Neufeld, J. S., & Gupta, J. N. (2024). Historical information based iterated greedy algorithm for distributed flowshop group scheduling problem with sequence-dependent setup times. Omega, 123, 102997.
Jemmali, M., & Hidri, L. (2023). Hybrid Flow Shop with Setup Times Scheduling Problem. Comput. Syst. Sci. Eng, 44, 563-577.
Johnson, S. M. (1954). Optimal two‐and three‐stage production schedules with setup times included. Naval research logistics quarterly, 1(1), 61-68.
Jungwattanakit, J., Reodecha, M., Chaovalitwongse, P., & Werner, F. (2005). An evaluation of sequencing heuristics for flexible flowshop scheduling problems with unrelated parallel machines and dual criteria. Otto-von-Guericke-Universitat Magdeburg, 28(05), 1-23.
Jungwattanakit, J., Reodecha, M., Chaovalitwongse, P., & Werner, F. (2008). Algorithms for flexible flow shop problems with unrelated parallel machines, setup times, and dual criteria. The International Journal of Advanced Manufacturing Technology, 37, 354-370.
Karaboga, D. (2005). An idea based on honey bee swarm for numerical optimization. Retrieved from
Karaboga, D., & Basturk, B. (2008). On the performance of artificial bee colony (ABC) algorithm. Applied Soft Computing, 8(1), 687-697.
Khare, A., & Agrawal, S. (2019). Scheduling hybrid flowshop with sequence-dependent setup times and due windows to minimize total weighted earliness and tardiness. Computers & Industrial Engineering, 135, 780-792.
Kurz, M. E., & Askin, R. G. (2003). Comparing scheduling rules for flexible flow lines. International Journal of Production Economics, 85(3), 371-388.
Lee, G.-C., Hong, J. M., & Choi, S.-H. (2015). Efficient heuristic algorithm for scheduling two-stage hybrid flowshop with sequence-dependent setup times. Mathematical Problems in Engineering, 2015.
Liao, C.-J., Tjandradjaja, E., & Chung, T.-P. (2012). An approach using particle swarm optimization and bottleneck heuristic to solve hybrid flow shop scheduling problem. Applied Soft Computing, 12(6), 1755-1764.
Liao, Y., Zhantao, L., Li, X., & Chenfeng, P. (2022). Heuristics for the Hybrid Flow Shop Scheduling Problem with Sequence-Dependent Setup times. Mathematical Problems in Engineering, 2022.
Meng, L., Duan, P., Gao, K., Zhang, B., Zou, W., Han, Y., & Zhang, C. (2024). MIP modeling of energy-conscious FJSP and its extended problems: From simplicity to complexity. Expert Systems with Applications, 241, 122594.
Meng, L., Gao, K., Ren, Y., Zhang, B., Sang, H., & Chaoyong, Z. (2022). Novel MILP and CP models for distributed hybrid flowshop scheduling problem with sequence-dependent setup times. Swarm and Evolutionary Computation, 71, 101058.
Meng, L., Zhang, C., Ren, Y., Zhang, B., & Lv, C. (2020). Mixed-integer linear programming and constraint programming formulations for solving distributed flexible job shop scheduling problem. Computers & Industrial Engineering, 142, 106347.
Meng, L., Zhang, C., Zhang, B., Gao, K., Ren, Y., & Sang, H. (2023). MILP modeling and optimization of multi-objective flexible job shop scheduling problem with controllable processing times. Swarm and Evolutionary Computation, 82, 101374.
Naderi, B., Zandieh, M., Balagh, A. K. G., & Roshanaei, V. (2009). An improved simulated annealing for hybrid flowshops with sequence-dependent setup and transportation times to minimize total completion time and total tardiness. Expert Systems with Applications, 36(6), 9625-9633.
Nishi, T., Hiranaka, Y., & Inuiguchi, M. (2010). Lagrangian relaxation with cut generation for hybrid flowshop scheduling problems to minimize the total weighted tardiness. Computers & Operations Research, 37(1), 189-198.
Ozsoydan, F. B., & Sağir, M. (2021). Iterated greedy algorithms enhanced by hyper-heuristic based learning for hybrid flexible flowshop scheduling problem with sequence dependent setup times: a case study at a manufacturing plant. Computers & Operations Research, 125, 105044.
Pan, Q.-K., & Dong, Y. (2014). An improved migrating birds optimisation for a hybrid flowshop scheduling with total flowtime minimisation. Information Sciences, 277, 643-655.
Pan, Q.-K., Gao, L., Li, X.-Y., & Gao, K.-Z. (2017). Effective metaheuristics for scheduling a hybrid flowshop with sequence-dependent setup times. Applied Mathematics and Computation, 303, 89-112.
Pan, Q.-K., Wang, L., Li, J.-Q., & Duan, J.-H. (2014). A novel discrete artificial bee colony algorithm for the hybrid flowshop scheduling problem with makespan minimisation. Omega, 45, 42-56.
Pan, Q.-K., Wang, L., Mao, K., Zhao, J.-H., & Zhang, M. (2012). An effective artificial bee colony algorithm for a real-world hybrid flowshop problem in steelmaking process. IEEE Transactions on Automation Science and Engineering, 10(2), 307-322.
Rashidi, E., Jahandar, M., & Zandieh, M. (2010). An improved hybrid multi-objective parallel genetic algorithm for hybrid flow shop scheduling with unrelated parallel machines. The International Journal of Advanced Manufacturing Technology, 49, 1129-1139.
Ruiz, R., & Maroto, C. (2006). A genetic algorithm for hybrid flowshops with sequence dependent setup times and machine eligibility. European journal of operational research, 169(3), 781-800.
Salvador, M. (1973). Asolution to a special class of flow shop scheduling problems. Lecture Notes in Economics and Mathematical Systems, 86, 83-91.
Tian, H., Li, K., & Liu, W. (2016). A pareto-based adaptive variable neighborhood search for biobjective hybrid flow shop scheduling problem with sequence-dependent setup time. Mathematical Problems in Engineering, 2016.
Xu, Y., & Wang, L. (2011). Differential evolution algorithm for hybrid flow-shop scheduling problems. Journal of Systems Engineering and Electronics, 22(5), 794-798.
Zandieh, M., Ghomi, S. F., & Husseini, S. M. (2006). An immune algorithm approach to hybrid flow shops scheduling with sequence-dependent setup times. Applied Mathematics and Computation, 180(1), 111-127.