Approximating inequality systems within probability functions: studying implications for problems and consistency of first-order information

  • Wim van Ackooij
  • Pedro Pérez-Aros
  • David Villacís
    • Categories Nonsmooth Optimization, Stochastic Programming Tags , , , ,

    In this work, we are concerned with the study of optimization problems featuring so-called probability or chance constraints. Probability constraints measure the level of satisfaction of an underlying random inequality system and ensure that this level is high enough. Such an underlying inequality system could be expressed by an abstractly known or perhaps costly to … Read more

    Drone Station Location and Routing Optimization for Infrastructure Inspection

  • Chun Cheng
    • Categories Transportation Tags , , , ,

    Recent advancements in drone technology have expanded drone applications in logistics, humanitarian aid, and infrastructure surveillance. Motivated by the demand for drone-based infrastructure inspection and the emerging design of drone battery swapping stations, this paper introduces the location routing problem with heterogeneous stations and drones (LRPHSD). In the problem, two types of stations are considered: … Read more

    Solution of Stochastic Facility Location Problems with Combinatorially many Decision-Dependent Distributions

  • Giovanni Pantuso
    • Categories Combinatorial Optimization, Facility Planning and Design, Stochastic Programming

    This article describes a model and an exact solution method for facility location problems with decision-dependent uncertainties. The model allows characterizing the probability distribution of the random elements as a function of the choice of open facilities. This, in turn, generates a combinatorial number of potential distributions of the random elements. Though general in the … Read more

    Measuring the Economic Value of Wind–Solar Complementarity in Europe Using Chance Constraints

  • Montree Jaidee
  • Bismark Singh
    • Categories Energy, Stochastic Programming Tags , , , ,

    The variability of wind and solar photovoltaic (PV) generation poses significant risks for producers in day-ahead electricity markets, where commitments must be made before actual output is realized. A common mitigation strategy is to invest in storage, but an alternative is to exploit the natural complementarity between wind and solar resources. We evaluate this economic … Read more

    A two-stage optimization approach for selecting electric-flight airports

  • Frederic Kroner
  • Imke Joormann
  • Andreas M. Tillmann
    • Categories Applications - OR and Management Sciences, Transportation Tags , , , ,

    The decarbonization of short-haul air transport has gained increasing attention, with electric aircraft emerging as a promising alternative to conventional short-haul aviation. However, given the substantial investment anticipated for the necessary infrastructure, a strategic and globally coordinated selection of airports is imperative. The aim of this paper is to address this problem and determine the … Read more

    Final Exam Scheduling at Bucknell University: A Case Study and Open-Source Tool

  • Thiago Serra
  • Lucas Waddell
    • Categories Applications - OR and Management Sciences, Scheduling

    Problem Definition: Final exam scheduling is a common but challenging optimization problem. At Bucknell University, a small liberal arts institution, the problem is particularly complex and has historically required the Registrar’s Office to spend months manually designing an exam schedule each semester. Methodology: We worked in close collaboration with the Registrar’s Office. First, we created … Read more

    A Multivariate Loss Ratio Approach for Systemic Risk Measurement and Allocation

  • Wei Wang
  • HuifuXu
    • Categories Finance and Economics, Multi-Criteria Optimization, Other Topics Tags , , , ,

    The primary challenges in systemic risk measurement involve determining an overall reserve level of risk capital and allocating it to different components based on their systemic relevance. In this paper, we introduce a multivariate loss ratio measure (MLRM), which is the minimum amount of capital to be injected into a financial system such that the … Read more

    Sequential test sampling for stochastic derivative-free optimization

  • Anjie Ding
  • Francesco Rinaldi
  • Luis Nunes Vicente
    • Categories Nonlinear Optimization Tags , , ,

    In many derivative-free optimization algorithms, a sufficient decrease condition decides whether to accept a trial step in each iteration. This condition typically requires that the potential objective function value decrease of the trial step, i.e., the true reduction in the objective function value that would be achieved by moving from the current point to the … Read more

    Bregman Douglas-Rachford Splitting Method

  • Shiqian Ma
    • Categories Convex Optimization Tags , , ,

    In this paper, we propose the Bregman Douglas-Rachford splitting (BDRS) method and its variant Bregman Peaceman-Rachford splitting method for solving maximal monotone inclusion problem. We show that BDRS is equivalent to a Bregman alternating direction method of multipliers (ADMM) when applied to the dual of the problem. A special case of the Bregman ADMM is … Read more