compromise solution

Solution of Nonlinear Equations via Optimization

  • Isaac Siwale
    • Categories Applications - OR and Management Sciences, Constrained Nonlinear Optimization, Multi-Criteria Optimization Tags , , , , ,

    This paper presents four optimization models for solving nonlinear equation systems. The models accommodate both over-specified and under-specified systems. A variable endogenization technique that improves efficiency is introduced, and a basic comparative study shows one of the methods presented to be very effective. CitationSiwale, I. (2013). Solution of nonlinear equation systems via optimization. Technical Report … Read more

    Practical Multi-objective Programming

  • Isaac Siwale
    • Categories Applications - OR and Management Sciences Tags , , , , ,

    This paper is on practical solutions to the multi-objective optimization problem; it advocates for single-point solutions either of the Nash equilibrium or the Tchebycheff compromise type, depending on whether one can reasonably ascribe competition or cooperation to the problem at hand. A transform method that greatly simplifies implementation of the compromise solution is presented and … Read more