epsilon-constraint method

A Multiobjective Approach for Sector Duration Optimization in Stereotactic Radiosurgery Treatment Planning

  • Oylum Seker
  • Mucahit Cevik
  • Merve Bodur
  • Young Lee-Bartlett
  • Mark Ruschin
    • Categories Biomedical Applications, Multi-Criteria Optimization Tags , , , ,

    Sector duration optimization (SDO) is a problem arising in treatment planning for stereotactic radiosurgery on Gamma Knife. Given a set of isocenter locations, SDO aims to select collimator size configurations and irradiation times thereof such that target tissues receive prescribed doses in a reasonable amount of treatment time, while healthy tissues nearby are spared. We … Read more

    Bi-objective Simulation Optimization on Integer Lattices using the Epsilon-Constraint Method in a Retrospective Approximation Framework

  • Kyle Cooper
  • Susan R. Hunter
  • Kalyani Nagaraj
    • Categories Integer Programming, Multi-Criteria Optimization, Optimization of Simulated Systems Tags , ,

    We consider multi-objective simulation optimization (MOSO) problems on integer lattices, that is, nonlinear optimization problems in which multiple simultaneous objective functions can only be observed with stochastic error, e.g., as output from a Monte Carlo simulation model. The solution to a MOSO problem is the efficient set, which is the set of all feasible decision … Read more