Georgia Perakis

Joint Pricing and Production: A Fusion of Machine Learning and Robust Optimization

  • Georgia Perakis
  • Qinshen Tang
  • Peng Xiong
  • Melvyn Sim
    • Categories Applications - OR and Management Sciences, Robust Optimization Tags , , , ,

    We integrate machine learning with distributionally robust optimization to address a two-period problem for the joint pricing and production of multiple items. First, we generalize the additive demand model to capture both cross-product and cross-period effects as well as the demand dependence across periods. Next, we apply K-means clustering to the demand residual mapping based … Read more

    A robust SQP method for mathematical programs with linear complementarity constraints

  • Xinwei Liu
  • Georgia Perakis
  • Jie Sun
    • Categories Complementarity and Variational Inequalities Tags , , , ,

    The relationship between the mathematical program with linear complementarity constraints (MPCC) and its inequality relaxation is studied. A new sequential quadratic programming (SQP) method is presented for solving the MPCC based on this relationship. A certain SQP technique is introduced to deal with the possible infeasibility of quadratic programming subproblems. Global convergence results are derived … Read more