How to cite this paper
Madani-Isfahani, M., Ghobadian, E., Tekmehdash, H., Tavakkoli-Moghaddam, R & Naderi-Beni, M. (2013). An imperialist competitive algorithm for a bi-objective parallel machine scheduling problem with load balancing consideration.International Journal of Industrial Engineering Computations , 4(2), 191-202.
Refrences
Allahverdi, A., Ng, C., Cheng, T., & Kovalyov, M. (2008).A survey of scheduling problems with setup times or costs.European Journal of Operational Research, 187, 985-1032.
Atashpaz-Gargari, E., & Lucas, E. C. (2007). Imperialist Competitive Algorithm: An algorithm for optimization inspired by imperialist competitive.IEEE Congress on Evolutionary Computation, Singapore, 4661-4667.
Cossari, A., Ho, J.C., Paletta, G., & Torres, A.J.R. (2012).A new heuristic for workload balancing on identical parallel machines and a statistical perspective on the workload balancing criteria, Computers and Operations Research, 39, 1382-1392.
Engelbrecht, A. P. (2007). Computational Intelligence: An Introduction, 2nd ed., Wiley.
Goldberg, D.E. (1989). Genetic Algorithms in Search, Optimization and Machine Learning. Addison Wesley Longman.
Haupt, R. L., & Haupt, S. E. (2004).Practical Genetic Algorithm.2nd ed., Wiley.
Ho, J.C., Tseng, T.L.B., Torres, A.J.R., Lopez, F.J. (2009).Minimizing the normalized sum of square for workload deviations on m parallel processors.Computers and Industrial Engineering, 56, 186-192.
Holland, J.H. (1975).Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor.
Hoogeveen, H. (2005). Multicriteria scheduling. European Journal of Operational Research, 167, 592-623.
Javadi, B., Saidi-Mehrabad, Haji, A., Mahdavi, I., Jolai, F., & Mahdavi-Amiri, N. (2008).No-wait flow shop scheduling using fuzzy multi-objective linear programming.Journal of Franklin Institute, 345, 452-467.
Jolai, F., Rabiee, M., & Asefi, H. (2012). A novel hybrid meta-heuristic algorithm for a no-wait flexible flow shop scheduling problem with sequence dependent setup times.International Journal of Production Research, 50 (24), 7447-7466.
Karimi, N., Zandieh. M., & Najafi, A. A. (2011). Group scheduling in flexible flow shops: a hybridised approach of imperialist competitive algorithm and electromagnetic-like mechanism.International Journal of Production Research, 49 (6), 4965-4977.
Kennedy, J., & Eberhart, R.C. (1995).Particle swarm optimization.In: Proceedings of the 1995 IEEE International Conference on Neural Networks, 4, 1942-1948.
Keskinturk, T., Yildirim, M.B., & Barut, M. (2012). An ant colony optimization algorithm for load balancing in parallel machines with sequence-dependent setup times.Computers & Operations Research, 39, 1225-1235.
Lei, D. (2009). Multi-objective production scheduling: a survey.International Journal of Advanced Manufacturing Technology, 43(9-10), 926-938.
Lian, Z. (2010). A united search particle swarm optimization algorithm for multiobjective scheduling problem.Applied Mathematical Modelling, 34, 3518-3526.
Moradinasab, N., Shafaei, R., Rabiee, M., & Ramezani, P. (2012). No-wait two stage hybrid flowshop scheduling with genetic and adaptive imperialist competitive algorithms.Journal of Experimental & Theoretical Artificial Intelligence, DOI: 10.1080/0952813X.2012.682752.
Naderi-Beni, M., Tavakkoli-Moghaddam, R., Naderi, B., Ghobadian, E., & Pourrousta, A. (2012). A two-phase fuzzy programming model for a complex bi-objective no-wait flow shop scheduling.International Journal of Industrial Engineering Computations, 3, 617-626.
Nagar, A., Haddock, J., Heragu, S. (1995). Multiple and bicriteria scheduling: a literature survey. European Journal of Operational Research, 81, 88-104, DOI: 10.1016/0377-2217(93) E0140-S.
Ouazene, Y., Hnaien, F., Yalaoui, F., & Amodeo, L. (2011). The joint load balancing and parallel machine scheduling problem.Operations Research Proceedings 2010, DOI: 10.1007/978-3-642-2009-0_79, Springer_Verlag Berlin Heidelberg.
Pinedo, M.L. (2008). Scheduling, Algorithms, and Systems.3rd ed., Springer.
Raghavendra, B.V., & Murthy, A.N.N. (2011).Workload balancing in identical parallel machine scheduling while planning in flexible manufacturing system using genetic algorithm.ARPN Journal of Engineering and Applied Sciences, 6 (1).
Rajakumar, S., Arunachalam, V.P., & Selladurai, V. (2004). Workflow balancing strategies in parallel machine scheduling.International Journal of Advanced Manufacturing Technology, 23, 366-374, DOI: 10.1007/s00170-003-1603-4.
Rajakumar, S., Arunachalam, V.P., & Selladurai, V. (2006).Workflow balancing in parallel machine scheduling with precedence constraints using genetic algorithm.Journal of Manufacturing Technology Management, 17, 239-254.
Rajakumar, S., Arunachalam, V.P., & Selladurai, V. (2007).Workflow balancing in parallel machines through genetic algorithm.International Journal of Advanced Manufacturing Technology, 33, 1212-1221, DOI: 10.1007/s00170-006-0553-z.
Shokrollahpour, E., Zandieh, M., & Dorri, B. (2011).A novel imperialist competitive algorithm for bi-criteria scheduling of the assembly flowshop problem.International Journal of Production Research, 49 (11), 3087-3103.
Tavakkoli-Moghaddam, R., Taheri, F., Bazzazi, M., Izadi, M., & Sassani, F. (2009). Design of a genetic algorithm for bi-objective unrelated parallel machines scheduling with sequence-dependent setup times and precedence constraints.Computers and Operations Research, 36, 3224-3230.
T’Kindt, V., Billaut, J.C., & Proust, C. (2001).Solving a bicriteria scheduling problem on unrelated parallel machines occurring in the glass bottle industry.European Journal of OperationalResearch, 135, 42-49.
Vallada, E., & Ruiz, R. (2011). A genetic algorithm for the unrelated parallel machine scheduling problem with sequence dependent setup times.European Journal of Operational Research, 211, 612-622.
Varmazyar, M., & Salmasi, N. (2012).Sequence-dependent flow shop scheduling problem minimising the number of tardy jobs.International Journal of Production Research, 50 (20), 5843-5858.
Yuan, X. (2011).Multi-objective optimization of fuzzy parallel machines scheduling problem using nondominated genetic algorithms. Journal of Software, 6 (10).
Atashpaz-Gargari, E., & Lucas, E. C. (2007). Imperialist Competitive Algorithm: An algorithm for optimization inspired by imperialist competitive.IEEE Congress on Evolutionary Computation, Singapore, 4661-4667.
Cossari, A., Ho, J.C., Paletta, G., & Torres, A.J.R. (2012).A new heuristic for workload balancing on identical parallel machines and a statistical perspective on the workload balancing criteria, Computers and Operations Research, 39, 1382-1392.
Engelbrecht, A. P. (2007). Computational Intelligence: An Introduction, 2nd ed., Wiley.
Goldberg, D.E. (1989). Genetic Algorithms in Search, Optimization and Machine Learning. Addison Wesley Longman.
Haupt, R. L., & Haupt, S. E. (2004).Practical Genetic Algorithm.2nd ed., Wiley.
Ho, J.C., Tseng, T.L.B., Torres, A.J.R., Lopez, F.J. (2009).Minimizing the normalized sum of square for workload deviations on m parallel processors.Computers and Industrial Engineering, 56, 186-192.
Holland, J.H. (1975).Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor.
Hoogeveen, H. (2005). Multicriteria scheduling. European Journal of Operational Research, 167, 592-623.
Javadi, B., Saidi-Mehrabad, Haji, A., Mahdavi, I., Jolai, F., & Mahdavi-Amiri, N. (2008).No-wait flow shop scheduling using fuzzy multi-objective linear programming.Journal of Franklin Institute, 345, 452-467.
Jolai, F., Rabiee, M., & Asefi, H. (2012). A novel hybrid meta-heuristic algorithm for a no-wait flexible flow shop scheduling problem with sequence dependent setup times.International Journal of Production Research, 50 (24), 7447-7466.
Karimi, N., Zandieh. M., & Najafi, A. A. (2011). Group scheduling in flexible flow shops: a hybridised approach of imperialist competitive algorithm and electromagnetic-like mechanism.International Journal of Production Research, 49 (6), 4965-4977.
Kennedy, J., & Eberhart, R.C. (1995).Particle swarm optimization.In: Proceedings of the 1995 IEEE International Conference on Neural Networks, 4, 1942-1948.
Keskinturk, T., Yildirim, M.B., & Barut, M. (2012). An ant colony optimization algorithm for load balancing in parallel machines with sequence-dependent setup times.Computers & Operations Research, 39, 1225-1235.
Lei, D. (2009). Multi-objective production scheduling: a survey.International Journal of Advanced Manufacturing Technology, 43(9-10), 926-938.
Lian, Z. (2010). A united search particle swarm optimization algorithm for multiobjective scheduling problem.Applied Mathematical Modelling, 34, 3518-3526.
Moradinasab, N., Shafaei, R., Rabiee, M., & Ramezani, P. (2012). No-wait two stage hybrid flowshop scheduling with genetic and adaptive imperialist competitive algorithms.Journal of Experimental & Theoretical Artificial Intelligence, DOI: 10.1080/0952813X.2012.682752.
Naderi-Beni, M., Tavakkoli-Moghaddam, R., Naderi, B., Ghobadian, E., & Pourrousta, A. (2012). A two-phase fuzzy programming model for a complex bi-objective no-wait flow shop scheduling.International Journal of Industrial Engineering Computations, 3, 617-626.
Nagar, A., Haddock, J., Heragu, S. (1995). Multiple and bicriteria scheduling: a literature survey. European Journal of Operational Research, 81, 88-104, DOI: 10.1016/0377-2217(93) E0140-S.
Ouazene, Y., Hnaien, F., Yalaoui, F., & Amodeo, L. (2011). The joint load balancing and parallel machine scheduling problem.Operations Research Proceedings 2010, DOI: 10.1007/978-3-642-2009-0_79, Springer_Verlag Berlin Heidelberg.
Pinedo, M.L. (2008). Scheduling, Algorithms, and Systems.3rd ed., Springer.
Raghavendra, B.V., & Murthy, A.N.N. (2011).Workload balancing in identical parallel machine scheduling while planning in flexible manufacturing system using genetic algorithm.ARPN Journal of Engineering and Applied Sciences, 6 (1).
Rajakumar, S., Arunachalam, V.P., & Selladurai, V. (2004). Workflow balancing strategies in parallel machine scheduling.International Journal of Advanced Manufacturing Technology, 23, 366-374, DOI: 10.1007/s00170-003-1603-4.
Rajakumar, S., Arunachalam, V.P., & Selladurai, V. (2006).Workflow balancing in parallel machine scheduling with precedence constraints using genetic algorithm.Journal of Manufacturing Technology Management, 17, 239-254.
Rajakumar, S., Arunachalam, V.P., & Selladurai, V. (2007).Workflow balancing in parallel machines through genetic algorithm.International Journal of Advanced Manufacturing Technology, 33, 1212-1221, DOI: 10.1007/s00170-006-0553-z.
Shokrollahpour, E., Zandieh, M., & Dorri, B. (2011).A novel imperialist competitive algorithm for bi-criteria scheduling of the assembly flowshop problem.International Journal of Production Research, 49 (11), 3087-3103.
Tavakkoli-Moghaddam, R., Taheri, F., Bazzazi, M., Izadi, M., & Sassani, F. (2009). Design of a genetic algorithm for bi-objective unrelated parallel machines scheduling with sequence-dependent setup times and precedence constraints.Computers and Operations Research, 36, 3224-3230.
T’Kindt, V., Billaut, J.C., & Proust, C. (2001).Solving a bicriteria scheduling problem on unrelated parallel machines occurring in the glass bottle industry.European Journal of OperationalResearch, 135, 42-49.
Vallada, E., & Ruiz, R. (2011). A genetic algorithm for the unrelated parallel machine scheduling problem with sequence dependent setup times.European Journal of Operational Research, 211, 612-622.
Varmazyar, M., & Salmasi, N. (2012).Sequence-dependent flow shop scheduling problem minimising the number of tardy jobs.International Journal of Production Research, 50 (20), 5843-5858.
Yuan, X. (2011).Multi-objective optimization of fuzzy parallel machines scheduling problem using nondominated genetic algorithms. Journal of Software, 6 (10).