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Modelling In Logic For Integer Programming

In: Logic and Integer Programming

Author

Listed:
  • H. Paul Williams

    (The London School of Economics)

Abstract

In order to systematise the modelling of such conditions it is convenient to introduce 0–1 integer variables to represent the satisfaction, or otherwise, of such constraints. When this is done it is usually necessary to know the upper or lower bounds for the left-hand side of the constraint above.

Suggested Citation

  • H. Paul Williams, 2009. "Modelling In Logic For Integer Programming," International Series in Operations Research & Management Science, in: Logic and Integer Programming, chapter 0, pages 71-103, Springer.
    • Handle: RePEc:spr:isochp:978-0-387-92280-5_3
    DOI: 10.1007/978-0-387-92280-5_3
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    Cited by:

    1. Jaroslav Pluskal & Radovan Šomplák & Dušan Hrabec & Vlastimír Nevrlý & Lars Magnus Hvattum, 2022. "Optimal location and operation of waste-to-energy plants when future waste composition is uncertain," Operational Research, Springer, vol. 22(5), pages 5765-5790, November.
    2. Hao Qiang & Yanchun Hu & Wenqi Tang & Xiaohua Zhang, 2023. "Research on Optimization Strategy of Battery Swapping for Electric Taxis," Energies, MDPI, vol. 16(5), pages 1-15, February.
    3. Hua, Weiqi & Chen, Ying & Qadrdan, Meysam & Jiang, Jing & Sun, Hongjian & Wu, Jianzhong, 2022. "Applications of blockchain and artificial intelligence technologies for enabling prosumers in smart grids: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 161(C).
    4. Moon, Kyungduk & Lee, Kangbok & Chopra, Sunil & Kwon, Steve, 2022. "Bilevel integer programming on a Boolean network for discovering critical genetic alterations in cancer development and therapy," European Journal of Operational Research, Elsevier, vol. 300(2), pages 743-754.
    5. O’Neill, Sam & Wrigley, Paul & Bagdasar, Ovidiu, 2022. "A mixed-integer linear programming formulation for the modular layout of three-dimensional connected systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 739-754.
    6. James Hebden & Fabian Winkler, 2021. "Impulse-Based Computation of Policy Counterfactuals," Finance and Economics Discussion Series 2021-042, Board of Governors of the Federal Reserve System (U.S.).

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