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Letter to the Editor—Reduction of Integer Polynomial Programming Problems to Zero-One Linear Programming Problems

Author

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  • Lawrence J. Watters

    (The Rand Corporation, Santa Monica, California)

Abstract

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Suggested Citation

  • Lawrence J. Watters, 1967. "Letter to the Editor—Reduction of Integer Polynomial Programming Problems to Zero-One Linear Programming Problems," Operations Research, INFORMS, vol. 15(6), pages 1171-1174, December.
  • Handle: RePEc:inm:oropre:v:15:y:1967:i:6:p:1171-1174
    DOI: 10.1287/opre.15.6.1171
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    Cited by:

    1. Buchheim, Christoph & Crama, Yves & Rodríguez-Heck, Elisabeth, 2019. "Berge-acyclic multilinear 0–1 optimization problems," European Journal of Operational Research, Elsevier, vol. 273(1), pages 102-107.
    2. M. Spada & M. Bierlaire & Th. M. Liebling, 2005. "Decision-Aiding Methodology for the School Bus Routing and Scheduling Problem," Transportation Science, INFORMS, vol. 39(4), pages 477-490, November.
    3. Mamadou Koné & Mouhamadou A.M.T. Baldé & Babacar M. Ndiaye, 2019. "A Dichotomic Algorithm for Transportation Network and Land Use Problem," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(1), pages 42-56, February.
    4. Warren P. Adams & Stephen M. Henry, 2012. "Base-2 Expansions for Linearizing Products of Functions of Discrete Variables," Operations Research, INFORMS, vol. 60(6), pages 1477-1490, December.
    5. Warren Adams & Hanif Sherali, 2005. "A Hierarchy of Relaxations Leading to the Convex Hull Representation for General Discrete Optimization Problems," Annals of Operations Research, Springer, vol. 140(1), pages 21-47, November.
    6. Areesh Mittal & Can Gokalp & Grani A. Hanasusanto, 2020. "Robust Quadratic Programming with Mixed-Integer Uncertainty," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 201-218, April.
    7. Sven Mallach, 2018. "Compact linearization for binary quadratic problems subject to assignment constraints," 4OR, Springer, vol. 16(3), pages 295-309, September.
    8. Stephen A. Smith & Narendra Agrawal, 2000. "Management of Multi-Item Retail Inventory Systems with Demand Substitution," Operations Research, INFORMS, vol. 48(1), pages 50-64, February.
    9. Sönke Behrends & Ruth Hübner & Anita Schöbel, 2018. "Norm bounds and underestimators for unconstrained polynomial integer minimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(1), pages 73-107, February.
    10. M. Hosein Zare & Juan S. Borrero & Bo Zeng & Oleg A. Prokopyev, 2019. "A note on linearized reformulations for a class of bilevel linear integer problems," Annals of Operations Research, Springer, vol. 272(1), pages 99-117, January.
    11. Juan S. Borrero & Colin Gillen & Oleg A. Prokopyev, 2017. "Fractional 0–1 programming: applications and algorithms," Journal of Global Optimization, Springer, vol. 69(1), pages 255-282, September.
    12. R Logendran & Y Karim, 2003. "Design of manufacturing cells in the presence of alternative cell locations and material transporters," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(10), pages 1059-1075, October.

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