Optimizing a General Optimal Replacement Model by Fractional Programming Techniques

  • Authors:

  • A. I. Barros;R. Dekker;J. B. G. Frenk;S. Van Weeren

  • Affiliations:

  • Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands.;Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands.;Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands.;Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands.

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 1997

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Abstract

In this paper we adapt the well-known parametric approachfrom fractional programming to solvea class of fractional programs with a noncompact feasible region.Such fractional problems belong to an important class ofsingle component preventive maintenance models.Moreover, for a special but important subclass we showthat the subproblems occurring in this parametric approachare easy solvable.To solve the problem directly we also propose for a relatedsubclass a specialized version of the bisection method.Finally, we present some computational results for these twomethods applied to an inspection model and a minimal repair modelhaving both a unimodal failure rate.