How to cite this paper
EghbaliZarch, M., Abedzadeh, M & Setak, M. (2013). Differential evolution algorithm for multi-commodity and multi-level of service hub covering location problem.International Journal of Industrial Engineering Computations , 4(1), 127-138.
Refrences
Alumur, SA., & Kara, B.Y. (2008a). Network hub location: the state of art.European Journal of
Operational Research, 1, 1-21.
Alumur, S., & Kara, B.Y.(2008b). A hub covering network design problem for cargo applications in Turkey. Journal of the Operational Research Society, 10, 1349-1359.
Box, G.E.P., & Wilson, K.(1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society. Series B (Methodological), 13, 1-45.
Campbell, J.F.(1994). Integer programming formulations of discrete hub location problems.European
Journal of Operational Research, 2, 387-405.
Campbell, J.F. (2009). Hub location for time definite transportation. Computers & Operations Research, 36, 3107-3116.
Calik, H., Alumur, SA., Kara, B.Y. & Karasan, O.E.,(2009). A tabu-search based heuristic for the hub
covering problem over incomplete hub networks. Computers & Operations Research,12, 3088-
3096
Cetiner, S., Sepil, C., & Süral, H. (2010). Hubbing and routing in postal delivery systems. Annals of Operations Research, 181, 109-124.
Das, S., & Suganthan, P.N. (2010). Differential evolution: A survey of the state-of-the-art. Evolutionary Computation, IEEE Transactions, 99, 1-28.
Ernst, A., Jiang, H. & Krishnamoorthy, M.,(2005). Reformulations and computational results for uncapacitated single and multiple allocation hub covering problems.Unpublished Report, CSIRO Mathematical and Information Science.
Ernst, A.T., & Krishnamoorthy, M. (1996). Efficient algorithms for the uncapacitated single allocation
p-hub median problem. Location Science,4, 139-154.
Ernst, A.T., & Krishnamoorthy, M. (1999). Solution algorithms for the capacitated single allocation hub location problem. Annals of Operations Research, 86, 141-159.
Fazel Zarandi, M., Davari, S. & Haddad Sisakht, S. (2012). The Q-coverage multiple allocation hub covering problem with mandatory dispersion. Scientia Iranica Ghodratnama, A., Tavakkoli-Moghaddam, R., & Azaron, A. (2012). A fuzzy possibilistic bi-objective
hub covering problem considering production facilities, time horizons and transporter vehicles. The International Journal of Advanced Manufacturing Technology, 1-20.
Hamacher, H.W., & Meyer, T. (2006). Hub cover and hub center problems. Departament of Mathematics, University of Kaiserslautern, Germany.
Klincewicz, J.G. (1998). Hub location in backbone/tributary network design: a review. Location Science, 6, 307-335.
Kennedy, J., & Eberhart, R.C.(1997). A discrete binary version of the particle swarm algorithm. IEEE TRANSACTION.
Karimi, H., & Bashiri, M. (2011). Hub covering location problems with different coverage types. Scientia Iranica,18, 1571–1578.
Kara, B., & Tansel, B. (2003). The single-assignment hub covering problem: Models and
linearizations.Journal of the Operational Research Society, 59-64.
Lobato, F.S., Gedraite,R. & Neiro, S.M.S.,(2012). Solution of flow shop scheduling problems using the differential evolution algorithm.3rd International Conference on Engineering Optimization, Rio de Janeiro, Brazil.
Mohammadi, M., Jolai, F. & Rostami, H. (2011a). An M/M/c queue model for hub covering location problem.Mathematical and Computer Modelling, 54, 2623–2638.
Mohammadi, M., Tavakkoli-Moghaddam, R. & Rostami, H. (2011b) A multi-objective imperialist competitive algorithm for a capacitated hub covering location problem. International Journal of Industrial Engineering Computations. 2, 671-688.
Mohammadi, M., Tolui, H. & Yousefi, M. (2010). Solving a hub covering location problem under capacity constraints by a hybrid algorithm. Journal of Applied Operational Research, 2, 109-116.
O & apos; kelly, M.E. (1987). A quadratic integer program for the location of interacting hub facilities.European Journal of Operational Research, 3, 393-404.
Rao, R.V. & Patel, V.,(2012). An elitist teaching learning based optimization algorithm for solving
complex constrained optimization problems.International Journal of Industrial Engineering
Computations, 3, 535-560.
Rao, R.V. & Patel,V. (2013) Comparative performance of an elitist teaching-learning-based optimization algorithm for solving unconstrained optimization problems. International Journal of Industrial Engineering Computations.
Sim, T.K.T. (2007). The hub covering flow problem and the stochastic p-hub center problem. United states: ProQuest Information and Learning Company.
Tan, P.Z., Kara, B.Y. (2007). A hub covering model for cargo delivery systems. Networks, 1, 28-39.
Wagner, B.,(2004) Model formulations for hub covering problems. Journal of the Operational Research Society, 7, 932-938.
Storn, R., & Price, K., (1996). Minimizing the real functions of the ICEC & apos; 96 contest by differential evolution. IEEE Transaction.
Sahraeian, R., & Korani, E. (2010). The hierarchical hub maximal covering problem with determinate cover radiuses. IEEE Transaction.
Vijay Chakaravarthy, G., Marimuthu, S., & Naveen Sait, A. (2011). Performance evaluation of proposed Differential Evolution and Particle Swarm Optimization algorithms for scheduling mmachine flow shops with lot streaming. Journal of Intelligent Manufacturing, 1-17
Operational Research, 1, 1-21.
Alumur, S., & Kara, B.Y.(2008b). A hub covering network design problem for cargo applications in Turkey. Journal of the Operational Research Society, 10, 1349-1359.
Box, G.E.P., & Wilson, K.(1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society. Series B (Methodological), 13, 1-45.
Campbell, J.F.(1994). Integer programming formulations of discrete hub location problems.European
Journal of Operational Research, 2, 387-405.
Campbell, J.F. (2009). Hub location for time definite transportation. Computers & Operations Research, 36, 3107-3116.
Calik, H., Alumur, SA., Kara, B.Y. & Karasan, O.E.,(2009). A tabu-search based heuristic for the hub
covering problem over incomplete hub networks. Computers & Operations Research,12, 3088-
3096
Cetiner, S., Sepil, C., & Süral, H. (2010). Hubbing and routing in postal delivery systems. Annals of Operations Research, 181, 109-124.
Das, S., & Suganthan, P.N. (2010). Differential evolution: A survey of the state-of-the-art. Evolutionary Computation, IEEE Transactions, 99, 1-28.
Ernst, A., Jiang, H. & Krishnamoorthy, M.,(2005). Reformulations and computational results for uncapacitated single and multiple allocation hub covering problems.Unpublished Report, CSIRO Mathematical and Information Science.
Ernst, A.T., & Krishnamoorthy, M. (1996). Efficient algorithms for the uncapacitated single allocation
p-hub median problem. Location Science,4, 139-154.
Ernst, A.T., & Krishnamoorthy, M. (1999). Solution algorithms for the capacitated single allocation hub location problem. Annals of Operations Research, 86, 141-159.
Fazel Zarandi, M., Davari, S. & Haddad Sisakht, S. (2012). The Q-coverage multiple allocation hub covering problem with mandatory dispersion. Scientia Iranica Ghodratnama, A., Tavakkoli-Moghaddam, R., & Azaron, A. (2012). A fuzzy possibilistic bi-objective
hub covering problem considering production facilities, time horizons and transporter vehicles. The International Journal of Advanced Manufacturing Technology, 1-20.
Hamacher, H.W., & Meyer, T. (2006). Hub cover and hub center problems. Departament of Mathematics, University of Kaiserslautern, Germany.
Klincewicz, J.G. (1998). Hub location in backbone/tributary network design: a review. Location Science, 6, 307-335.
Kennedy, J., & Eberhart, R.C.(1997). A discrete binary version of the particle swarm algorithm. IEEE TRANSACTION.
Karimi, H., & Bashiri, M. (2011). Hub covering location problems with different coverage types. Scientia Iranica,18, 1571–1578.
Kara, B., & Tansel, B. (2003). The single-assignment hub covering problem: Models and
linearizations.Journal of the Operational Research Society, 59-64.
Lobato, F.S., Gedraite,R. & Neiro, S.M.S.,(2012). Solution of flow shop scheduling problems using the differential evolution algorithm.3rd International Conference on Engineering Optimization, Rio de Janeiro, Brazil.
Mohammadi, M., Jolai, F. & Rostami, H. (2011a). An M/M/c queue model for hub covering location problem.Mathematical and Computer Modelling, 54, 2623–2638.
Mohammadi, M., Tavakkoli-Moghaddam, R. & Rostami, H. (2011b) A multi-objective imperialist competitive algorithm for a capacitated hub covering location problem. International Journal of Industrial Engineering Computations. 2, 671-688.
Mohammadi, M., Tolui, H. & Yousefi, M. (2010). Solving a hub covering location problem under capacity constraints by a hybrid algorithm. Journal of Applied Operational Research, 2, 109-116.
O & apos; kelly, M.E. (1987). A quadratic integer program for the location of interacting hub facilities.European Journal of Operational Research, 3, 393-404.
Rao, R.V. & Patel, V.,(2012). An elitist teaching learning based optimization algorithm for solving
complex constrained optimization problems.International Journal of Industrial Engineering
Computations, 3, 535-560.
Rao, R.V. & Patel,V. (2013) Comparative performance of an elitist teaching-learning-based optimization algorithm for solving unconstrained optimization problems. International Journal of Industrial Engineering Computations.
Sim, T.K.T. (2007). The hub covering flow problem and the stochastic p-hub center problem. United states: ProQuest Information and Learning Company.
Tan, P.Z., Kara, B.Y. (2007). A hub covering model for cargo delivery systems. Networks, 1, 28-39.
Wagner, B.,(2004) Model formulations for hub covering problems. Journal of the Operational Research Society, 7, 932-938.
Storn, R., & Price, K., (1996). Minimizing the real functions of the ICEC & apos; 96 contest by differential evolution. IEEE Transaction.
Sahraeian, R., & Korani, E. (2010). The hierarchical hub maximal covering problem with determinate cover radiuses. IEEE Transaction.
Vijay Chakaravarthy, G., Marimuthu, S., & Naveen Sait, A. (2011). Performance evaluation of proposed Differential Evolution and Particle Swarm Optimization algorithms for scheduling mmachine flow shops with lot streaming. Journal of Intelligent Manufacturing, 1-17