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Efficient Solutions for Special Zero-One Programming Problems

Author

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  • Ariela Bilitzky

    (College of Management)

  • Arik Sadeh

    (Holon Academic Institute of Technology)

Abstract

A zero-one linear programming is under consideration. It has been proved that for special structures and values of the parameters, the solution of the linear relaxation of the problem is integral and can be either predetermined or computed efficiently. In general, a tight upper bound is provided in order to establish an efficient procedure for solving the problem. The results may have practical implementations in knowledge—management, data-mining, network flow, graph theory, reliability and statistical studies.

Suggested Citation

  • Ariela Bilitzky & Arik Sadeh, 2005. "Efficient Solutions for Special Zero-One Programming Problems," Journal of Combinatorial Optimization, Springer, vol. 10(3), pages 227-238, November.
    • Handle: RePEc:spr:jcomop:v:10:y:2005:i:3:d:10.1007_s10878-005-4104-6
    DOI: 10.1007/s10878-005-4104-6
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    References listed on IDEAS

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    1. van Hoesel, Stan & Wagelmans, Albert & Kolen, Antoon, 1991. "A dual algorithm for the economic lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 52(3), pages 315-325, June.
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    3. Dimopoulou, M. & Miliotis, P., 2001. "Implementation of a university course and examination timetabling system," European Journal of Operational Research, Elsevier, vol. 130(1), pages 202-213, April.
    4. Oguz, Osman, 1991. "Data dependent worst case bound improving techniques in zero--one programming," European Journal of Operational Research, Elsevier, vol. 51(3), pages 400-404, April.
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    Cited by:

    1. Arik Sadeh & Claudia Florina Radu & Cristina Feniser & Andrei Borşa, 2020. "Governmental Intervention and Its Impact on Growth, Economic Development, and Technology in OECD Countries," Sustainability, MDPI, vol. 13(1), pages 1-30, December.

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