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Nonextreme point solution strategies for linear programs

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  • Leon Cooper
  • Jeff Kennington

Abstract

This exposition presents two algorithms for linear programs which allow a value change in more than one nonbasic variable at each iteration. The computational formulae are developed and errors which have appeared in the literature are noted. One algorithm is a multiple basis exchange procedure while the second is a feasible direction method. There remain many computational challenges in the area of linear programming and we hope that this investigation will encourage additional work in the directions indicated in this exposition.

Suggested Citation

  • Leon Cooper & Jeff Kennington, 1979. "Nonextreme point solution strategies for linear programs," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(3), pages 447-461, September.
  • Handle: RePEc:wly:navlog:v:26:y:1979:i:3:p:447-461
    DOI: 10.1002/nav.3800260308
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