facility location

A Combinatorial Branch-and-Bound Algorithm for the Capacitated Facility Location Problem under Strict Customer Preferences

  • Christina Büsing
  • Felix Engelhardt
  • Sophia Wrede
    • Categories Bilevel Optimization, Branch and Cut Algorithms, Combinatorial Optimization Tags , , , ,

    This work proposes a combinatorial branch-and-bound (B&B) algorithm for the capacitated facility location problem under strict customer preferences (CFLP-SCP). We use combinatorial insights into the problem structure to do preprocessing, model branching implications, enforce feasibility or prove infeasibility in each node, select variables and derive primal and dual bounds in each node of the B&B … 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

    Paving the Way for More Accessible Cancer Care in Low-Income Countries with Optimization

  • Abel Sapirstein
  • Lauren Steimle
  • Mathieu Dahan
    • Categories Applications - OR and Management Sciences Tags , , , , ,

    Cancers are a growing cause of morbidity and mortality in low-income countries. Geographic access plays a key role in both timely diagnosis and successful treatment. In areas lacking well-developed road networks, seasonal weather events can lengthen already long travel times to access care. Expanding facilities to offer cancer care is expensive and requires staffing by … Read more

    Insights into the computational complexity of the single-source capacitated facility location problem with customer preferences

  • Christina Büsing
  • Timo Gersing
  • Sophia Wrede
    • Categories Combinatorial Optimization Tags , , ,

    Single-source capacitated facility location problems are well studied in the operations research literature, yet classic problems often lack practicability by disregarding the customers’ perspective: An authority that assigns customers to open facilities deprives customers from choosing facilities according to their individual preferences. In reality, this can render solutions infeasible, as customers may deviate to their … Read more

    Cover-based inequalities for the single-source capacitated facility location problem with customer preferences

  • Christina Büsing
  • Markus Leitner
  • Sophia Wrede
    • Categories Combinatorial Optimization, Integer Programming Tags , , ,

    The single-source capacitated facility location problem with customer preferences (SSCFLPCP) is known to be strongly NP-hard. Computational tests imply that state-of-the-art solvers struggle with computing exact solutions. In this paper, we contribute two novel preprocessing methods which reduce the size of the considered integer programming formulation, and introduce sets of valid inequalities which decrease the … Read more

    Data-Driven Reliable Facility Location Design

  • Hao Shen
  • Mengying Xue
  • Z.J. Max Shen
    • Categories Data Science Applications, Network Optimization, Supply Chain Management Tags , , ,

    We study the reliable (uncapacitated) facility location (RFL) problem in a data-driven environment where historical observations of random demands and disruptions are available. Owing to the combinatorial optimization nature of the RFL problem and the mixed-binary randomness of parameters therein, the state-of-the-art RFL models applied to the data-driven setting either suggest overly conservative solutions, or … Read more

    discrete location models with customers’ choice and path improvements

  • Inmaculada Espejo
  • Alfredo Marín
    • Categories (Mixed) Integer Linear Programming, Integer Programming Tags , , , , , ,

    We examine several facility location problems within a directed network involving two distinct cost types. The first, referred to as the customer cost, represents the expense each customer considers when selecting a facility to obtain service (e.g., delivery time or a measure of quality degradation). Consequently, once facilities are established, each customer chooses the one … Read more

    Cooperative locker locations games

  • Fabio Mercurio
  • Loe Schlicher
  • S.U.K Rohmer
  • Tom Van Woensel
    • Categories Applications - OR and Management Sciences, Game Theory, Other Topics Tags , ,

    More and more people order products online and have parcels delivered to their homes. This leads to more congestion, negatively impacting the environment, public health, and safety. Carriers can use parcel lockers to consolidate and serve their customers to reduce these negative impacts. The implementation of a locker network can, however, be financially challenging. To … Read more

    Distributionally Robust Disaster Relief Planning under the Wasserstein Set

  • Mohamed El Tonbari
  • George L. Nemhauser
  • Alejandro Toriello
    • Categories Applications - OR and Management Sciences, Robust Optimization Tags , ,

    We study a two-stage natural disaster management problem modeled as a stochastic program, where the first stage consists of a facility location problem, deciding where to open facilities and pre-allocate resources such as medical and food kits, and the second stage is a fixed-charge transportation problem, routing resources to affected areas after observing a disaster. … Read more

    Distributionally Robust Facility Location with Bimodal Random Demand

  • Karmel S. Shehadeh
  • Ece Sanci
    • Categories (Mixed) Integer Linear Programming, Facility Planning and Design, Stochastic Programming Tags , , , ,

    In this paper, we consider a decision-maker who wants to determine a subset of locations from a given set of candidate sites to open facilities and accordingly assign customer demand to these open facilities. Unlike classical facility location settings, we focus on a new setting where customer demand is bimodal, i.e., display, or belong to, … Read more