Facility Planning and Design

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

    Integrated Bus Fleet Electrification Planning Through Accelerated Logic-Based Benders Decomposition and Restriction Heuristics

  • Robin Legault
  • Filipe Cabral
  • Xu Andy Sun
    • Categories (Mixed) Integer Linear Programming, Facility Planning and Design, Transportation Tags , ,

    To meet sustainability goals and regulatory requirements, transit agencies worldwide are planning partial and complete transitions to electric bus fleets. This paper presents the first comprehensive and computationally efficient multi-period optimization framework integrating the key planning decisions necessary to support such electrification initiatives. Our model, formulated as a two-stage integer program with integer subproblems, jointly … Read more

    Collection points placement in urban delivery: A game-theoretic analysis of public and competitive strategies

  • Fabio Mercurio
  • Margarida Carvalho
  • S.U.K Rohmer
  • Loe Schlicher
  • Tom Van Woensel
    • Categories Facility Planning and Design, Game Theory Tags , , , ,

    Collection point networks are rapidly expanding as delivery companies and public authorities promote their implementation to consolidate deliveries and reduce urban congestion. However, rather than catering to public interest by maximizing accessibility, the placement of collection points remains primarily driven by competition among delivery companies, which seek to maximize their market share. This paper thus … Read more

    Algorithmic Approaches for Identifying the Trade-off between Pessimism and Optimism in a Stochastic Fixed Charge Facility Location Problem

  • Man Yiu Tsang
  • Karmel S. Shehadeh
    • Categories Facility Planning and Design, Robust Optimization, Stochastic Programming Tags , , ,

    We introduce new algorithms to identify the trade-off (TRO) between adopting a distributional belief and hedging against ambiguity when modeling uncertainty in a capacitated fixed charge facility location problem (CFLP). We first formulate a TRO model for the CFLP (TRO-CFLP), which determines the number of facilities to open by minimizing the fixed establishment cost and … Read more

    Risk-aware Logic-based Benders Decomposition for a Location-Allocation-Pricing Problem with Stochastic Price-Sensitive Demands

  • Maryam Daryalal
  • Ahmadi-Javid Amir
    • Categories (Mixed) Integer Linear Programming, Facility Planning and Design, Stochastic Programming Tags , ,

    We consider a capacitated location-allocation-pricing problem in a single-commodity supply chain with stochastic price-sensitive demands, where the location, allocation and pricing decisions are made simultaneously. Under a general risk measure representing an arbitrary risk tolerance policy, the problem is modeled as a two-stage stochastic mixed-integer program with a translation-invariant monotone risk measure. To solve the … Read more

    Neural Embedded Mixed-Integer Optimization for Location-Routing Problems

  • Waquar Kaleem
  • Anirudh Subramanyam
    • Categories (Mixed) Integer Linear Programming, Facility Planning and Design, Production and Logistics Tags , , ,

    We present a novel framework that combines machine learning with mixed-integer optimization to solve the Capacitated Location-Routing Problem (CLRP). The CLRP is a classical yet NP-hard problem that integrates strategic facility location with operational vehicle routing decisions, aiming to simultaneously minimize both fixed and variable costs. The proposed method first trains a permutationally invariant neural … Read more

    Resilient Relay Logistics Network Design: A k-Shortest Path Approach

  • Onkar Anand Kulkarni
  • Mathieu Dahan
    • Categories (Mixed) Integer Linear Programming, Facility Planning and Design, Production and Logistics Tags , , , ,

    Problem definition: We study the problem of designing large-scale resilient relay logistics hub networks. We propose a model of k-Shortest Path Network Design, which aims to improve a network’s efficiency and resilience through its topological configuration, by locating relay logistics hubs to connect each origin-destination pair with k paths of minimum lengths, weighted by their … Read more

    Improvements for Decomposition Based Methods Utilized in the Development of Multi-Scale Energy Systems

  • R. Cory Allen
  • Efstratios N. Pistikopoulos
    • Categories (Mixed) Integer Linear Programming, Applications - Science and Engineering, Facility Planning and Design

    The optimal design of large-scale energy systems can be found by posing the problem as an integrated multi-period planning and scheduling mathematical programming problem. Due to the complexity of the accompanying mathematical programming problem decomposition techniques are often required but they to are plagued with converge issues. To address these issues we have derived a … Read more

    A combined model for chain expansion including the possibility of locating a new facility and modification and/or closing of existing facilities

  • Boglárka Tóth
  • Laura Anton-Sanchez
  • José Fernández
    • Categories (Mixed) Integer Linear Programming, Facility Planning and Design, Global Optimization Applications Tags , , , ,

    The problem of an expanding chain (it already has some facilities) in a given area is considered. It may locate a new facility, or vary (up or down) the quality of its existing facilities, or close some of them, or a combination of all those possibilities, whatever it is the best to maximize its profit, … Read more

    Benders-type Branch-and-Cut Algorithms for Capacitated Facility Location with Single-Sourcing

  • Dieter Weninger
  • Laurence A. Wolsey
    • Categories (Mixed) Integer Linear Programming, Branch and Cut Algorithms, Facility Planning and Design Tags , , , ,

    We consider the capacitated facility location problem with (partial) single-sourcing (CFLP-SS). A natural mixed integer formulation for the problem involves 0-1 variables x_j indicating whether faclility j is used or not and y_{ij} variables indicating the fraction of the demand of client i that is satisfied from facility j. When the x variables are fixed, … Read more