How to cite this paper
bedhief, A & Dridi, N. (2019). Minimizing makespan in a three-stage hybrid flow shop with dedicated machines.International Journal of Industrial Engineering Computations , 10(2), 161-176.
Refrences
Campbell, H. G., Dudek, R. A., & Smith, M. L. (1970). A heuristic algorithm for the n job, m machine sequencing problem. Management science, 16(10), B-630.
Chen, B., Glass, C. A., Potts, C. N., & Strusevich, V. A. (1996). A new heuristic for three-machine flow shop scheduling. Operations Research, 44(6), 891-898.
Cheng, T. E., Lin, B. M., & Tian, Y. (2009). Scheduling of a two-stage differentiation flowshop to minimize weighted sum of machine completion times. Computers & Operations Research, 36(11), 3031-3040.
Conway, R. W., Maxwell, W. L., & Miller, L. W. (2003). Theory of scheduling. Courier Corporation.
Dridi, N., Hadda, H., & Hajri-Gabouj, S. (2009). Méthode heuristique pour le problème de flow shop hybride avec machines dédiées. RAIRO-Operations Research, 43(4), 421-436.
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.
Framinan, J. M., Gupta, J. N., & Leisten, R. (2004). A review and classification of heuristics for permutation flow-shop scheduling with makespan objective. Journal of the Operational Research Society, 55(12), 1243-1255.
Garey, M. R., Johnson, D. S., & Sethi, R. (1976). The complexity of flowshop and jobshop scheduling. Mathematics of operations research, 1(2), 117-129.
Graham, R. L., Lawler, E. L., Lenstra, J. K., & Kan, A. R. (1979). Optimization and approximation in deterministic sequencing and scheduling: a survey. Annals of Discrete Mathematics, 5, 287-326.
Gupta, J. N. (1971). A functional heuristic algorithm for the flowshop scheduling problem. Journal of the Operational Research Society, 22(1), 39-47.
Gupta, J. N. (1988). Two-stage, hybrid flowshop scheduling problem. Journal of the Operational Research Society, 39(4), 359-364.
Gupta, J. N., Hariri, A. M. A., & Potts, C. N. (1997). Scheduling a two-stage hybrid flow shop with parallel machines at the first stage. Annals of Operations Research, 69, 171-191.
Gupta, J. N., & Stafford Jr, E. F. (2006). Flowshop scheduling research after five decades. European Journal of Operational Research, 169(3), 699-711.
Hadda, H., Dridi, N., & Hajri-Gabouj, S. (2012). A note on the two-stage hybrid flow shop problem with dedicated machines. Optimization Letters, 6(8), 1731-1736.
Hadda, H., Dridi, N., & Hajri-Gabouj, S. (2014). Exact resolution of the two-stage hybrid flow shop with dedicated machines. Optimization Letters, 8(8), 2329-2339.
Hadda, H., Hajji, M. K., & Dridi, N. (2015). On the two-stage hybrid flow shop with dedicated machines. RAIRO-Operations Research, 49(4), 795-804.
Haouari, M., & Daouas, T. (1999). Optimal scheduling of the 3-machine assembly-type flow shop. RAIRO-Operations Research, 33(4), 439-445.
Huang, T. C., & Lin, B. M. (2013). Batch scheduling in differentiation flow shops for makespan minimisation. International Journal of Production Research, 51(17), 5073-5082.
Kise, H. (1991). On an automated two-machine flowshop scheduling problem with infinite buffer. Journal of the Operations Research Society of Japan, 34(3), 354-361.
Koulamas, C., & Kyparisis, G. J. (2001). The three-stage assembly flowshop scheduling problem. Computers & Operations Research, 28(7), 689-704.
Johnson, S. M. (1954). Optimal two‐and three‐stage production schedules with setup times included. Naval research logistics quarterly, 1(1), 61-68.
Lee, C. Y., Cheng, T. C. E., & Lin, B. M. T. (1993). Minimizing the makespan in the 3-machine assembly-type flowshop scheduling problem. Management Science, 39(5), 616-625.
Lin, B. M. (1999). The strong NP-hardness of two-stage flowshop scheduling with a common second-stage machine. Computers & Operations Research, 26(7), 695-698.
Lin, B.M.T. (2015). Two-stage flow shop scheduling with dedicated machines. International Journal of Production Research, 53(4), 1094–1097.
Lin, H. T., & Liao, C. J. (2003). A case study in a two-stage hybrid flow shop with setup time and dedicated machines. International Journal of Production Economics, 86(2), 133-143.
Linn, R., & Zhang, W. (1999). Hybrid flow shop scheduling: a survey. Computers & Industrial Engineering, 37(1-2), 57-61.
Mosheiov, G., & Sarig, A. (2010). Minimum weighted number of tardy jobs on an m-machine flow-shop with a critical machine. European Journal of Operational Research, 201(2), 404-408.
Nawaz, M., Enscore Jr, E. E., & Ham, I. (1983). A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem. Omega, 11(1), 91-95.
Oguz, C, Lin, B. M. T., & Cheng, T. C. E. (1997). Two-stage flow shop scheduling problem with a common second-stage machine. Computers & Operations Research 24, 1169–1174.
Palmer, D. S. (1965). Sequencing jobs through a multi-stage process in the minimum total time—a quick method of obtaining a near optimum. Journal of the Operational Research Society, 16(1), 101-107.
Potts, C. N., Sevast'Janov, S. V., Strusevich, V. A., Van Wassenhove, L. N., & Zwaneveld, C. M. (1995). The two-stage assembly scheduling problem: complexity and approximation. Operations Research, 43(2), 346-355.
Riane, F., Artiba, A., and Elmaghraby, S. E. (1997). A two-stage hybrid flow shop problem to minimize makespan. Research Report No 310-97WR214, FUCaM, Mons, Belgium.
Riane, F., Artiba, A., & Elmaghraby, S. E. (1998). A hybrid three-stage flow shop problem: Efficient heuristics to minimize makespan. European Journal of Operational Research 109(2), 321–329.
Riane, F., Artiba, A., & Elmaghraby, S. E. (2002). Sequencing a hybrid two-stage flowshop with dedicated machines. International Journal of Production Research, 40(17), 4353-4380.
Ruiz, R., & Maroto, C. (2005). A comprehensive review and evaluation of permutation flowshop heuristics. European Journal of Operational Research, 165(2), 479-494.
Ruiz, R., & Vázquez-Rodríguez, J. A. (2010). The hybrid flow shop scheduling problem. European Journal of Operational Research, 205(1), 1-18.
Taillard, E. (1990). Some efficient heuristic methods for the flow shop sequencing problem. European Journal of Operational Research, 47(1), 65-74.
Wang, S., & Liu, M. (2013). A heuristic method for two-stage hybrid flow shop with dedicated machines. Computers & Operations Research, 40(1), 438-450.
Yang, J. (2011). Minimizing total completion time in two-stage hybrid flow shop with dedicated machines. Computers and Operations Research, 38, 1045–53.
Yang, J. (2013). A two-stage hybrid flow shop with dedicated machines at the first stage. Computers & Operation Research, 40, 2836–2843.
Yang J. (2015). Minimizing total completion time in two-stage hybrid flow shop with dedicated machines at the first stage. Computers & Operations Research, 58, 1–8
Yenisey, M. M., & Yagmahan, B. (2014). Multi-objective permutation flow shop scheduling problem: Literature review, classification and current trends. Omega, 45, 119-135.
Yokoyama, M., & Santos, D. L. (2005). Three-stage flow-shop scheduling with assembly operations to minimize the weighted sum of product completion times. European Journal of Operational Research, 161(3), 754-770.
Chen, B., Glass, C. A., Potts, C. N., & Strusevich, V. A. (1996). A new heuristic for three-machine flow shop scheduling. Operations Research, 44(6), 891-898.
Cheng, T. E., Lin, B. M., & Tian, Y. (2009). Scheduling of a two-stage differentiation flowshop to minimize weighted sum of machine completion times. Computers & Operations Research, 36(11), 3031-3040.
Conway, R. W., Maxwell, W. L., & Miller, L. W. (2003). Theory of scheduling. Courier Corporation.
Dridi, N., Hadda, H., & Hajri-Gabouj, S. (2009). Méthode heuristique pour le problème de flow shop hybride avec machines dédiées. RAIRO-Operations Research, 43(4), 421-436.
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.
Framinan, J. M., Gupta, J. N., & Leisten, R. (2004). A review and classification of heuristics for permutation flow-shop scheduling with makespan objective. Journal of the Operational Research Society, 55(12), 1243-1255.
Garey, M. R., Johnson, D. S., & Sethi, R. (1976). The complexity of flowshop and jobshop scheduling. Mathematics of operations research, 1(2), 117-129.
Graham, R. L., Lawler, E. L., Lenstra, J. K., & Kan, A. R. (1979). Optimization and approximation in deterministic sequencing and scheduling: a survey. Annals of Discrete Mathematics, 5, 287-326.
Gupta, J. N. (1971). A functional heuristic algorithm for the flowshop scheduling problem. Journal of the Operational Research Society, 22(1), 39-47.
Gupta, J. N. (1988). Two-stage, hybrid flowshop scheduling problem. Journal of the Operational Research Society, 39(4), 359-364.
Gupta, J. N., Hariri, A. M. A., & Potts, C. N. (1997). Scheduling a two-stage hybrid flow shop with parallel machines at the first stage. Annals of Operations Research, 69, 171-191.
Gupta, J. N., & Stafford Jr, E. F. (2006). Flowshop scheduling research after five decades. European Journal of Operational Research, 169(3), 699-711.
Hadda, H., Dridi, N., & Hajri-Gabouj, S. (2012). A note on the two-stage hybrid flow shop problem with dedicated machines. Optimization Letters, 6(8), 1731-1736.
Hadda, H., Dridi, N., & Hajri-Gabouj, S. (2014). Exact resolution of the two-stage hybrid flow shop with dedicated machines. Optimization Letters, 8(8), 2329-2339.
Hadda, H., Hajji, M. K., & Dridi, N. (2015). On the two-stage hybrid flow shop with dedicated machines. RAIRO-Operations Research, 49(4), 795-804.
Haouari, M., & Daouas, T. (1999). Optimal scheduling of the 3-machine assembly-type flow shop. RAIRO-Operations Research, 33(4), 439-445.
Huang, T. C., & Lin, B. M. (2013). Batch scheduling in differentiation flow shops for makespan minimisation. International Journal of Production Research, 51(17), 5073-5082.
Kise, H. (1991). On an automated two-machine flowshop scheduling problem with infinite buffer. Journal of the Operations Research Society of Japan, 34(3), 354-361.
Koulamas, C., & Kyparisis, G. J. (2001). The three-stage assembly flowshop scheduling problem. Computers & Operations Research, 28(7), 689-704.
Johnson, S. M. (1954). Optimal two‐and three‐stage production schedules with setup times included. Naval research logistics quarterly, 1(1), 61-68.
Lee, C. Y., Cheng, T. C. E., & Lin, B. M. T. (1993). Minimizing the makespan in the 3-machine assembly-type flowshop scheduling problem. Management Science, 39(5), 616-625.
Lin, B. M. (1999). The strong NP-hardness of two-stage flowshop scheduling with a common second-stage machine. Computers & Operations Research, 26(7), 695-698.
Lin, B.M.T. (2015). Two-stage flow shop scheduling with dedicated machines. International Journal of Production Research, 53(4), 1094–1097.
Lin, H. T., & Liao, C. J. (2003). A case study in a two-stage hybrid flow shop with setup time and dedicated machines. International Journal of Production Economics, 86(2), 133-143.
Linn, R., & Zhang, W. (1999). Hybrid flow shop scheduling: a survey. Computers & Industrial Engineering, 37(1-2), 57-61.
Mosheiov, G., & Sarig, A. (2010). Minimum weighted number of tardy jobs on an m-machine flow-shop with a critical machine. European Journal of Operational Research, 201(2), 404-408.
Nawaz, M., Enscore Jr, E. E., & Ham, I. (1983). A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem. Omega, 11(1), 91-95.
Oguz, C, Lin, B. M. T., & Cheng, T. C. E. (1997). Two-stage flow shop scheduling problem with a common second-stage machine. Computers & Operations Research 24, 1169–1174.
Palmer, D. S. (1965). Sequencing jobs through a multi-stage process in the minimum total time—a quick method of obtaining a near optimum. Journal of the Operational Research Society, 16(1), 101-107.
Potts, C. N., Sevast'Janov, S. V., Strusevich, V. A., Van Wassenhove, L. N., & Zwaneveld, C. M. (1995). The two-stage assembly scheduling problem: complexity and approximation. Operations Research, 43(2), 346-355.
Riane, F., Artiba, A., and Elmaghraby, S. E. (1997). A two-stage hybrid flow shop problem to minimize makespan. Research Report No 310-97WR214, FUCaM, Mons, Belgium.
Riane, F., Artiba, A., & Elmaghraby, S. E. (1998). A hybrid three-stage flow shop problem: Efficient heuristics to minimize makespan. European Journal of Operational Research 109(2), 321–329.
Riane, F., Artiba, A., & Elmaghraby, S. E. (2002). Sequencing a hybrid two-stage flowshop with dedicated machines. International Journal of Production Research, 40(17), 4353-4380.
Ruiz, R., & Maroto, C. (2005). A comprehensive review and evaluation of permutation flowshop heuristics. European Journal of Operational Research, 165(2), 479-494.
Ruiz, R., & Vázquez-Rodríguez, J. A. (2010). The hybrid flow shop scheduling problem. European Journal of Operational Research, 205(1), 1-18.
Taillard, E. (1990). Some efficient heuristic methods for the flow shop sequencing problem. European Journal of Operational Research, 47(1), 65-74.
Wang, S., & Liu, M. (2013). A heuristic method for two-stage hybrid flow shop with dedicated machines. Computers & Operations Research, 40(1), 438-450.
Yang, J. (2011). Minimizing total completion time in two-stage hybrid flow shop with dedicated machines. Computers and Operations Research, 38, 1045–53.
Yang, J. (2013). A two-stage hybrid flow shop with dedicated machines at the first stage. Computers & Operation Research, 40, 2836–2843.
Yang J. (2015). Minimizing total completion time in two-stage hybrid flow shop with dedicated machines at the first stage. Computers & Operations Research, 58, 1–8
Yenisey, M. M., & Yagmahan, B. (2014). Multi-objective permutation flow shop scheduling problem: Literature review, classification and current trends. Omega, 45, 119-135.
Yokoyama, M., & Santos, D. L. (2005). Three-stage flow-shop scheduling with assembly operations to minimize the weighted sum of product completion times. European Journal of Operational Research, 161(3), 754-770.