decision-making

Bi-level multi-criteria optimization to include linear energy transfer into proton treatment planning

  • Katrin Teichert
  • Mara Schubert
    • Categories Biomedical Applications, Multi-Criteria Optimization, Nonlinear Optimization Tags , , , ,

    In proton therapy treatment planning, the aim is to ensure tumor control while sparing the various surrounding risk structures. The biological effect of the irradiation depends on both physical dose and linear energy transfer (LET). In order to include LET alongside physical dose in plan creation, we propose to formulate the proton treatment planning problem … Read more

    Solving multi-objective network flow problems with an interior point method

  • José Rui Figureira
  • Margarida Fonseca
  • Mauricio G.C. Resende
    • Categories Linear Programming, Multi-Criteria Optimization, Network Optimization Tags , , ,

    In this paper we present a primal-dual interior-point algorithm to solve a class of multi-objective network flow problems. More precisely, our algorithm is an extension of the single-objective primal-dual infeasible and inexact interior point method for multi-objective linear network flow problems. A comparison with standard interior point methods is provided and experimental results on bi-objective … Read more