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Netform Modeling and Applications

Author

Listed:
  • Fred Glover

    (School of Business, University of Colorado, Boulder, Colorado 80309-0419)

  • Darwin Klingman

    (Graduate School of Business, The University of Texas, Austin, Texas 78712)

  • Nancy Phillips

    (Graduate School of Business, The University of Texas, Austin, Texas 78712)

Abstract

Many real-world applications have profited from netform innovations in both modeling and solution strategies. Practical experience shows that advances in netform modeling and solution strategies overcome many of the difficulties in conceptual design and problem solving of previous approaches to system optimization. Moreover, they provide the type of technologies required of truly useful decision-planning tools, technologies that facilitate modeling, solution, and implementation. The ultimate test and worth of computer-based planning models, however, depends on their use by practitioners. In this tutorial, we show how certain algebraic models can be viewed graphically using netform modeling and describe several large practical problems we have solved. Some of our insights can make it easier for practitioners to take advantage of these technologies.

Suggested Citation

  • Fred Glover & Darwin Klingman & Nancy Phillips, 1990. "Netform Modeling and Applications," Interfaces, INFORMS, vol. 20(4), pages 7-27, August.
    • Handle: RePEc:inm:orinte:v:20:y:1990:i:4:p:7-27
    DOI: 10.1287/inte.20.4.7
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    Citations

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    Cited by:

    1. Dewil, R. & Vansteenwegen, P. & Cattrysse, D. & Van Oudheusden, D., 2015. "A minimum cost network flow model for the maximum covering and patrol routing problem," European Journal of Operational Research, Elsevier, vol. 247(1), pages 27-36.
    2. Fred Glover & Gary Kochenberger & Moses Ma & Yu Du, 2020. "Quantum Bridge Analytics II: QUBO-Plus, network optimization and combinatorial chaining for asset exchange," 4OR, Springer, vol. 18(4), pages 387-417, December.
    3. Kevin D. Wayne, 2002. "A Polynomial Combinatorial Algorithm for Generalized Minimum Cost Flow," Mathematics of Operations Research, INFORMS, vol. 27(3), pages 445-459, August.
    4. Laguna, Manuel & Kelly, James P. & Gonzalez-Velarde, JoseLuis & Glover, Fred, 1995. "Tabu search for the multilevel generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 82(1), pages 176-189, April.
    5. Fred Glover & Gary Kochenberger & Moses Ma & Yu Du, 2022. "Quantum Bridge Analytics II: QUBO-Plus, network optimization and combinatorial chaining for asset exchange," Annals of Operations Research, Springer, vol. 314(1), pages 185-212, July.
    6. Goldfarb, Donald. & Jin, Zhiying. & Orlin, James B., 1953-., 1996. "Polynomial-time highest-gain augmenting path algorithms for the generalized circulation problem," Working papers 3909-96., Massachusetts Institute of Technology (MIT), Sloan School of Management.

    More about this item

    Keywords

    networks/graphics: applications;

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