The Efficient Outcome Set of a Bi-criteria Linear Programming and Application

  • Phan Vu Dao
  • Bach Kim Nguyen Thi
  • Minh Hue Nguyen Thi
    • Categories Multi-Criteria Optimization Short URL: https://optimization-online.org/?p=9841

    We study the efficient outcome set $Y_E$ of a bi-criteria linear programming problem $(BP)$ and present a quite simple algorithm for generating all extreme points of $Y_E$. Application to optimization a scalar function $h(x)$ over the efficient set of $(BP)$ in case of $h$ which is a convex and dependent on the criteria is considered.

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    submitted to Acta mathematica Vietnamica

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