Covering location problems

S García, A Marín - Location science, 2015 - Springer
When deciding where to locate facilities (eg, emergency points where an ambulance will
wait for a call) that provide a service, it happens quite often that a customer (eg, a person) …

Covering location problems

S García, A Marín - Location science, 2019 - Springer
When deciding where to locate facilities (eg, emergency points where an ambulance will
wait for a call) that provide a service, it happens quite often that a customer (eg, a person) …

An exact algorithm and a metaheuristic for the multi-vehicle covering tour problem with a constraint on the number of vertices

MH Ha, N Bostel, A Langevin, LM Rousseau - European Journal of …, 2013 - Elsevier
The multi-vehicle covering tour problem (m-CTP) involves finding a minimum-length set of
vehicle routes passing through a subset of vertices, subject to constraints on the length of …

Integer programming methods for solving binary interdiction games

N Wei, JL Walteros - European Journal of Operational Research, 2022 - Elsevier
This paper studies a general class of interdiction problems in which the solution space of
both the leader and follower are characterized by two discrete sets denoted the leader's …

A novel integer linear programming approach for global ℓ0 minimization

DD Donne, M Kowalski, L Liberti - The Journal of Machine Learning …, 2023 - dl.acm.org
Given a vector y∈ ℝ n and a matrix H∈ ℝ n× m, the sparse approximation problem Ƥ 0/p
asks for a point x such that|| y-Hx|| p≤ α, for a given scalar α, minimizing the size of the …

Solving the close‐enough arc routing problem

MH Ha, N Bostel, A Langevin, LM Rousseau - Networks, 2014 - Wiley Online Library
The close‐enough arc routing problem has an interesting real‐life application to routing for
meter reading. In this article, we propose a new mathematical formulation for this problem …

Requiring connectivity in the set covering problem

JO Cerdeira, LS Pinto - Journal of combinatorial optimization, 2005 - Springer
Given a bipartite graph with bipartition V and W, a cover is a subset C ⊆ V such that each
node of W is adjacent to at least one node in C. The set covering problem seeks a minimum …

Integer programming models and polyhedral study for the geodesic classification problem on graphs

PHM Araújo, M Campêlo, RC Corrêa… - European Journal of …, 2024 - Elsevier
We study a discrete version of the classical classification problem in Euclidean space, to be
called the geodesic classification problem. It is defined on a graph, where some vertices are …

[HTML][HTML] Tilted inequalities and facets of the set covering polytope: A theoretical analysis

F Lamothe, C Contardo, M Gruson - Discrete Applied Mathematics, 2024 - Elsevier
Given a ground-set of elements and a family of subsets, the set covering problem consists in
choosing a minimum number of elements such that each subset contains at least one of the …

The dominating set polytope via facility location

M Baïou, F Barahona - International Symposium on Combinatorial …, 2014 - Springer
In this paper we present an extended formulation for the dominating set polytope via facility
location. We show that with this formulation we can describe the dominating set polytope for …