The capacitated single allocation hub location problem (CSAHLP) is a decision problem in regard to the number of hubs, hub locations, and the allocation of nonhubs to hubs, considering that each hub has its capacity constraint. The crucial factors for designing an economical hub network are to determine the optimal number of hubs, to properly locate the hubs, and to allocate nonhubs to hubs. In this research an effective heuristic is presented to resolve the CSAHLP. Computational characteristics of the presented heuristic are evaluated through extensively computational experiments using the Australia Post data set. Computational results indicate that the presented heuristic outperforms a simulated annealing method from the literature.
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References
S. Abdinnour-Helm (2001) Using simulated annealing to solve the p-hub median problem. International Journal of Physical Distribution and Logistics Management, 31: 203-220.
T. Aykin (1995) Networking policies for hub-and-spoke systems with application to the air transportation system. Transportation Science, 29: 201-221.
N. Bania, P. Bauer, and T. Zlatoper (1998) U.S. air passenger service: A taxonomy of route networks, hub locations, and competition. Logistics and Transportation Review, 34: 53-74.
T. Don, S. Harit, J.R. English, and G. Whicker (1995) Hub and spoke networks in truckload trucking: Configuration, testing, and operational concerns. Logistics and Transportation, 31: 209-237.
J.G. Klincewicz (1998) Hub location in backbone tributary network design: A review. Location Science, 6: 307-335.
M.J. Kuby and R.G. Gray (1993) Hub network design problem with stopovers and feeders: Case of Federal Express. Transportation Research, 27: 1-12.
K. Lumsden, F. Dallari, and R. Ruggeri (1999) Improving the efficiency of the hub and spoke system for the SKF European distribution network. International Journal of Physical Distribution and Logistics Management, 29: 50-64.
J. Campbell, A. Ernst, and M. Krishnamoorthy (2002) Hub location problems. In Z Drezner and H Hammacher (eds.) Facility location: applications and theory. Springer, Berlin.
J.F. Campbell (1994) Integer programming formulations of discrete hub location problems. European Journal of Operational Research, 72: 387-405.
A. Ernst and M. Krishnamoorthy (1999) Solution algorithms for the capacitated single allocation hub location problem. Annals of Operations Research, 86: 141-159.
J.-F. Chen (2007) A hybrid heuristic for the uncapacitated single allocation hub location problem. Omega-International Journal of Management Science, 35: 211-220.
A. Ernst and M. Krishnamoorthy (1998) Exact and heuristic algorithms for the uncapacitated multiple allocation p-hub median problem. European Journal of Operational Research, 104: 100-112.
M.E. O’Kelly (1987) A quadratic integer problem for the location of interacting hub facilities. European Journal of Operational Research, 32: 393-404.
J.G. Klincewicz (1992) Avoiding local optima in the p-hub location problem using tabu search and GRASP. Annals of Operations Research, 40: 283-302.
J.F. Campbell (1996) Hub location and the p-hub median problem. Operations Research, 44:923-935.
J.G. Klincewicz (1996) A dual algorithm for the uncapacitated hub location problem. Location Science, 4: 173-184.
G. Mayer and B. Wagner (2002) HubLocator: An exact solution method for the multiple allocation hub location problem. Computers and Operations Research, 29: 715-739.
N. Boland, M. Krishnamoorthy, A. Ernst, and J. Ebery (2004) Preprocessing and cutting for multiple allocation hub location problems. European Journal of Operational Research, 155: 638-653.
M.E. O’Kelly (1992) Hub facility with fixed costs. The Journal of RSAI, 71: 293-306.
S. Abdinnour-Helm and M.A. Venkataramanan (1998) Solution approaches to hub location problems. Annals of Operational Research, 78: 31-50.
S. Abdinnour-Helm (1998) A hybrid heuristic for the uncapacitated hub location problem. European Journal of Operational Research, 106: 489-499.
H. Topcuoglu, F. Corut, M. Ermis, and G. Yilmaz (2005) Solving the uncapacitated hub loca-tion using genetic algorithms. Computers and Operations Research, 32: 967-984.
J. Ebery, M. Krishnamoorthy, A. Ernst, and N. Boland (2000) The capacitated multiple allo-cation hub location problem: Formulations and algorithms. European Journal of Operational Research, 120: 614-631.
M.E. O’Kelly and H. Miller (1994) The hub network design problem: A review and synthesis. Journal of Transport Geography, 2: 31-40.
D.L. Bryan (1998) Extensions to the hub location problems: formulations and numerical ex-amples. Geographical Analysis, 30: 315-330.
D.L. Bryan and M.E. O’Kelly (1999) Hub-and-spoke networks in air transportation: An ana-lytical review. Journal of Regional Science, 39: 275-295.
N. Metropolis, A.N. Rosenbluth, M.N. Rosenbluth, and A.H. Teller (1953) Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21: 1087-1092.
A. Ernst and M. Krishnamoorthy (1996) Efficient algorithms for the uncapacitated single al-location p-hub median problem. Location Science, 4: 139-154.
S. White (1984) Concepts of scale in simulated annealing. Proceeding of the IEEE Interna-tional Conference on Computer Design. Port Chester, NY, pp. 646-651.
I. Osman (1993) Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem. Annals of Operational Research, 41: 421-451.
Y. Lee, B. Lim, and J. Park (1996) A hub location problem in designing digital data service networks: Lagrangian relaxation approach. Location Science, 4: 185-194.
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Chen, JF. (2008). A Heuristic for the Capacitated Single Allocation Hub Location Problem. In: Chan, A.H.S., Ao, SI. (eds) Advances in Industrial Engineering and Operations Research. Lecture Notes in Electrical Engineering, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74905-1_14
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