Solving the Generalized Assignment Problem: An Optimizing and Heuristic Approach

References

  • Amini M., Racer M. A rigorous computational comparison of alternative solution methodologies for the generalized assignment problem. Management Sci. (1994) 40:868–890LinkGoogle Scholar
  • Balachandran V. An integer generalized transportation model for optimal job assignment in computer networks. (1972) . Working Paper 34-72-3, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PAGoogle Scholar
  • Balas E., Jeroslow R. Canonical cuts in the unit hypercube. SIAM J. Appl. Math. (1972) 23:61–69CrossrefGoogle Scholar
  • Barr R., Golden B., Kelly J., Resende M., Stewart W. Designing and reporting on computational experiments with heuristic methods. J. Heuristics (1995) 1:9–32CrossrefGoogle Scholar
  • Cattrysse D., Degraeve Z., Tistaert J. Solving the generalized assignment problem using polyhedral results. Eur. J. Oper. Res. (1998) 108:618–628CrossrefGoogle Scholar
  • Cattrysse D., Salomon M., Van Wassenhove L. A set partitioning heuristic for the generalized assignment problem. Eur. J. Oper. Res. (1994) 72:167–174CrossrefGoogle Scholar
  • Cattrysse D., Van Wassenhove L. A survey of algorithms for the generalized assignment problem. Eur. J. Oper. Res. (1992) 60:260–272CrossrefGoogle Scholar
  • Chu P. C., Beasley J. B. A genetic algorithm for the generalized assignment problem. Comput. Oper. Res. (1997) 24:17–23CrossrefGoogle Scholar
  • Fisher M., Jaikumar R. A generalized assignment heuristic for vehicle routing. Networks (1981) 11:109–124CrossrefGoogle Scholar
  • Gavish B., Pirkul H. Algorithms for the multi-resource generalized assignment problem. Management Sci. (1991) 37:695–713LinkGoogle Scholar
  • Geoffrion A. M. Lagrangean relaxation for integer programming. Math. Programming Study: Approaches to Integer Programming (1974) 2:82–114CrossrefGoogle Scholar
  • Geoffrion A. M., Marsten R. E. Integer programming algorithms: A framework and state-of-the-art survey. Management Sci. (1972) 18:465–491LinkGoogle Scholar
  • Gottlieb E., Rao M. The generalized assignment problem: Valid inequalities and facets. Math. Programming (1990) 46:31–52CrossrefGoogle Scholar
  • Guignard M., Rosenwein M. An improved dual based algorithm for the generalized assignment problem. Oper. Res. (1989) 37:658–663LinkGoogle Scholar
  • Guignard M., Zhu S. A two phase dual algorithm for solving Lagrangean duals in mixed integer programming. (1996) . Working paper, The Wharton School, University of Pennsylvania, Philadelphia, PAGoogle Scholar
  • Laguna M., Kelly J., Gonzalez-Velarde J., Glover F. Tabu search for the multilevel generalized assignment problem. Eur. J. Oper. Res. (1995) 82:176–189CrossrefGoogle Scholar
  • Marsten R. The design of the XMP linear programming library. (1980) . Technical Report, 80-2, Department of Management Information Systems, University of Arizona, Tucson, AZGoogle Scholar
  • Martello S., Toth P., Brans J. P. An algorithm for the generalized assignment problem. Oper. Res. 81 (1981) (North-Holland, Amsterdam, The Netherlands)589–603Google Scholar
  • Martello S., Toth P.Knapsack Problems, Algorithms, and Computer Implementations (1990) (John Wiley and Sons, New York) Google Scholar
  • Mazzola J., Neebe A., Dunn C. Production planning of a flexible manufacturing system in a material requirements planning environment. Internat. J. Flexible Manufacturing Systems (1989) 1/2:115–142Google Scholar
  • Nauss R. M. An efficient algorithm for the 0–1 knapsack problem. Management Sci. (1976) 23:27–31LinkGoogle Scholar
  • Park J. S., Lim B. H., Lee Y. A Lagrangian dual-based branch-and-bound algorithm for the generalized multi-assignment problem. Management Sci. (1998) 44:271–282LinkGoogle Scholar
  • Ronen D. Allocation of trips to trucks operating from a single terminal. Comput. Oper. Res. (1992) 19:129–138CrossrefGoogle Scholar
  • Ross G. T., Soland R. M. A branch and bound algorithm for the generalized assignment problem. Math. Programming (1975) 8:91–103CrossrefGoogle Scholar
  • Ross G. T., Soland R. M. Modeling facility location problems as generalized assignment problems. Management Sci. (1977) 24:345–357LinkGoogle Scholar
  • Savelsbergh M. A branch-and-price algorithm for the generalized assignment problem. Oper. Res. (1997) 45:831–841LinkGoogle Scholar
  • Watcom FORTRAN 77 User's Guide (1995) (Watcom International Corp., Waterloo, Ontario, Canada) Google Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.