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Calculation of Stability Radii for Combinatorial Optimization Problems

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  • Chakravarti, N.
  • Wagelmans, A.P.M.

Abstract

We present algorithms to calculate the stability radius of optimal or approximate solutions of binary programming problems with a min-sum or min-max objective function. Our algorithms run in polynomial time if the optimization problem itself is polynomially solvable. We also extend our results to the tolerance approach to sensitivity analysis.

Suggested Citation

  • Chakravarti, N. & Wagelmans, A.P.M., 1997. "Calculation of Stability Radii for Combinatorial Optimization Problems," Econometric Institute Research Papers EI 9740/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1403
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    References listed on IDEAS

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    1. Sotskov, Y.N. & Wagelmans, A.P.M. & Werner, F., 1997. "On the Calculation of the Stability Radius of an Optimal or an Approximate Schedule," Econometric Institute Research Papers EI 9718/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Richard E. Wendell, 1985. "The Tolerance Approach to Sensitivity Analysis in Linear Programming," Management Science, INFORMS, vol. 31(5), pages 564-578, May.
    3. Nimrod Megiddo, 1979. "Combinatorial Optimization with Rational Objective Functions," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 414-424, November.
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