uncertainty

Robustness Analysis for Adaptive Optimization With Application to Industrial Decarbonization in the Netherlands

  • Justin Starreveld
  • Dick den Hertog
  • Jaron Davelaar
  • gregorbrandt
  • Nort Thijssen
    • Categories Applications - OR and Management Sciences, Energy, Robust Optimization Tags , , ,

    Robustness analysis assesses the performance of a particular solution under variation in the input data. This is distinct from sensitivity analysis, which assesses how variation in the input data changes a model’s optimal solution. For risk assessment purposes, robustness analysis has more practical value than sensitivity analysis. This is because sensitivity analysis, when applied to … Read more

    Similarity-based Decomposition Algorithm for Two-stage Stochastic Scheduling

  • Daniel Montes
  • José Luis Pitarch
  • Cesar de Prada
    • Categories Parallel Algorithms, Scheduling, Stochastic Programming Tags , ,

    This paper presents a novel decomposition method for two-stage stochastic mixed-integer optimization problems. The algorithm builds upon the idea of similarity between finite sample sets to measure how similar the first-stage decisions are among the uncertainty realization scenarios. Using such a Similarity Index, the non-anticipative constraints are removed from the problem formulation so that the … Read more

    Robust Regression over Averaged Uncertainty

  • Dimitris Bertsimas
  • Yu Ma
    • Categories Robust Optimization Tags , , , ,

    We propose a new formulation of robust regression by integrating all realizations of the uncertainty set and taking an averaged approach to obtain the optimal solution for the ordinary least squares regression problem. We show that this formulation recovers ridge regression exactly and establishes the missing link between robust optimization and the mean squared error … Read more

    A Robust Location-Allocation Model for Optimizing a Multi-Echelon Blood Supply Chain Network Under Uncertainty

  • Masoud Asadpour Ahmadchali
  • Mahdi Ebrahimzadeh Afrouzi
    • Categories Robust Optimization, Supply Chain Management Tags , , , , ,

    Designing and planning blood supply chains is very complicated due to its uncertain nature, such as uncertain blood demand, high vulnerability to disruptions, irregular donation, and blood perishability. In this vein, this paper seeks to optimize a multi-echelon blood supply chain network under uncertainty by designing a robust location-allocation model. The magnitude of the earthquake … Read more

    European Gas Infrastructure Expansion Planning: An Adaptive Robust Optimization Approach

  • Iegor Riepin
  • Matthew Schmidt
  • Luis Baringo
  • Felix Müsgens
    • Categories Finance and Economics, Robust Optimization Tags , , ,

    The European natural gas market is undergoing fundamental changes, fostering uncertainty regarding both supply and demand. This uncertainty is concentrated in the value of strategic infrastructure investments, e.g., projects of common interest supported by European Union public funds, to safeguard security of supply. This paper addresses this matter by suggesting an adaptive robust optimization framework … Read more

    Controllable Transmission Networks UnderDemand Uncertainty with Modular FACTS

  • Alireza Soroudi
    • Categories Constrained Nonlinear Optimization, Optimization Software and Modeling Systems, Scheduling Tags , ,

    The transmission system operators (TSOs) are responsible to provide secure and efficient access to the transmission system for all stakeholders. This task is gradually getting challenging due to the demand growth, demand uncertainty, rapid changes in generation mix, and market policies. Traditionally, the TSOs try to maximize the technical performance of the transmission network via … Read more

    Robust Combinatorial Optimization under Convex and Discrete Cost Uncertainty

  • Christoph Buchheim
  • Jannis Kurtz
    • Categories Combinatorial Optimization, Integer Programming, Robust Optimization Tags , , , , ,

    In this survey, we discuss the state-of-the-art of robust combinatorial optimization under uncertain cost functions. We summarize complexity results presented in the literature for various underlying problems, with the aim of pointing out the connections between the different results and approaches, and with a special emphasis on the role of the chosen uncertainty sets. Moreover, … Read more

    Computing the channel capacity of a communication system affected by uncertain transition probabilities

  • Aharon Ben-Tal
  • Krzysztof Postek
    • Categories Robust Optimization, Telecommunications Tags , ,

    We study the problem of computing the capacity of a discrete memoryless channel under uncertainty affecting the channel law matrix, and possibly with a constraint on the average cost of the input distribution. The problem has been formulated in the literature as a max-min problem. We use the robust optimization methodology to convert the max-min … Read more

    Scalable Robust and Adaptive Inventory Routing

  • Dimitris Bertsimas
  • Swati Gupta
  • Joel Tay
    • Categories Robust Optimization, Transportation Tags , , , , ,

    We consider the finite horizon inventory routing problem with uncertain demand, where a supplier must deliver a particular commodity to its customers periodically, such that even under uncertain demand the customers do not stock out, e.g. supplying residential heating oil to customers. Current techniques that solve this problem with stochastic demand, robust or adaptive optimization … Read more

    Effects of Uncertain Requirements on the Architecture Selection Problem

  • Somayeh Moazeni
  • Roshanak Nilchiani
    • Categories Applications - Science and Engineering, Multidisciplinary Design Optimization, Robust Optimization Tags , , ,

    The problem of identifying a specific design or architecture that allows to satisfy all the system requirements becomes more difficult when uncertainties are taken into account. When a requirement is subject to uncertainty there are a number approaches available to the system engineer, each one with its own benefits and disadvantages. Classical robust optimization is … Read more