Payman Ghasemi Saghand

Solving Multiplicative Programs by Binary-encoding the Multiplication Operation

  • Hadi Charkhgard
  • Fabian Rigterink
  • Payman Ghasemi Saghand
  • Vahid Mahmoodian
    • Categories Applications - OR and Management Sciences, Game Theory Tags ,

    Multiplicative programs in the form of maximization and/or minimization have numerous applications in conservation planning, game theory, and multi-objective optimization settings. In practice, multiplicative programs are challenging to solve because of their multiplicative objective function (a product of continuous or integer variables). These challenges are twofold: 1. As the number of factors in the objective … Read more

    Exact Solution Approaches for Integer Linear Generalized Maximum Multiplicative Programs Through the Lens of Multi-objective Optimization

  • Hadi Charkhgard
  • Payman Ghasemi Saghand
    • Categories Applications - OR and Management Sciences, Game Theory, Integer Programming Tags , , , ,

    We study a class of single-objective nonlinear optimization problems, the so-called Integer Linear Generalized Maximum Multiplicative Programs (IL-GMMP). This class of optimization problems has a significant number of applications in different fields of study including but not limited to game theory, systems reliability, and conservative planning. An IL-GMMP can be reformulated as a mixed integer … Read more