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Branch-price-and-cut algorithms play an important role in solving many vehicle routing problems (VRPs). Adding valid inequalities in this framework can impact the pricing subproblem, for which the literature distinguishes between 'robust'…

Optimization and Control · Mathematics 2025-08-20 Ymro N. Hoogendoorn , Kevin Dalmeijer

We study the extended version of the non-uniform, capacitated facility location problem with multiple fulfilment channels between the facilities and clients, each with their own channel capacities and service cost. Though the problem has…

Optimization and Control · Mathematics 2023-04-24 Etika Agarwal , Karthik S. Gurumoorthy , Ankit Ajit Jain , Shantala Manchenahally

Facility location problems are captivating both from theoretical and practical point of view. In this paper, we study some fundamental facility location problems from the space-efficient perspective. Here the input is considered to be given…

Data Structures and Algorithms · Computer Science 2014-09-22 Binay K. Bhattacharya , Minati De , Subhas C. Nandy , Sasanka Roy

This paper presents fast, distributed, $O(1)$-approximation algorithms for metric facility location problems with outliers in the Congested Clique model, Massively Parallel Computation (MPC) model, and in the $k$-machine model. The paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-16 Tanmay Inamdar , Shreyas Pai , Sriram V. Pemmaraju

In typical applications of facility location problems, the location of demand is assumed to be an input to the problem. The demand may be fixed or dynamic, but ultimately outside the optimizers control. In contrast, there are settings,…

Optimization and Control · Mathematics 2022-11-24 Ali Kaan Kurbanzade , Julia Gaudio

In this paper we study three previously unstudied variants of the online Facility Location problem, considering an intrinsic scenario when the clients and facilities are not only allowed to arrive to the system, but they can also depart at…

Data Structures and Algorithms · Computer Science 2018-07-12 Marek Cygan , Artur Czumaj , Marcin Mucha , Piotr Sankowski

Cutting plane methods, particularly outer approximation, are a well-established approach for solving nonlinear discrete optimization problems without relaxing the integrality of decision variables. While powerful in theory, their…

Optimization and Control · Mathematics 2025-11-04 Hòa T. Bùi , Alberto De Marchi

This paper studies online optimization under inventory (budget) constraints. While online optimization is a well-studied topic, versions with inventory constraints have proven difficult. We consider a formulation of inventory-constrained…

Performance · Computer Science 2024-12-20 Qiulin Lin , Hanling Yi , John Pang , Minghua Chen , Adam Wierman , Michael Honig , Yuanzhang Xiao

This paper presents a fuzzy queuing location model for congested system. In a queuing system there are different criteria that are not constant such as service rate, service rate demand, queue length, the occupancy probability of a service…

Other Computer Science · Computer Science 2010-04-21 Reza Rabieyan

Facility Location problems ask to place facilities in a way that optimizes a given objective function so as to provide a service to all clients. These are one of the most well-studied optimization problems spanning many research areas such…

Data Structures and Algorithms · Computer Science 2020-07-01 Christine Markarian , Abdul-Nasser Kassar , Manal Yunis

Cutting and packing problems are present in many, at first glance unconnected, areas, therefore it's beneficial to have a good understanding of their underlying structure, to select proper techniques for finding solutions. Cutting and…

Optimization and Control · Mathematics 2023-11-14 Szymon Wróbel

This paper studies a stochastic congested location problem in the network of a service system that consists of facilities to be established in a finite number of candidate locations. Population zones allocated to each open service facility…

Optimization and Control · Mathematics 2018-09-05 Amir Ahmadi-Javid , Oded Berman , Pooya Hoseinpour

We study mechanisms for the facility location problem augmented with predictions of the optimal facility location. We demonstrate that an egalitarian viewpoint which considers both the maximum distance of any agent from the facility and the…

Computer Science and Game Theory · Computer Science 2025-08-07 Toby Walsh

In this paper, we study locating charging station problem as facility location problem and its variants ($k$-Median, $k$-Facility location and $k$-center). We study the connectivity and the capacity constraints in these problem. Capacity…

Data Structures and Algorithms · Computer Science 2022-02-15 Rajni Dabas , Neelima Gupta

In many real-world optimization problems, more than one objective plays a role and input parameters are subject to uncertainty. In this paper, motivated by applications in disaster relief and public facility location, we model and solve a…

Optimization and Control · Mathematics 2020-04-24 Sophie N. Parragh , Fabien Tricoire , Walter Gutjahr

The study of approximate mechanism design for facility location problems has been in the center of research at the intersection of artificial intelligence and economics for the last decades, largely due to its practical importance in…

Computer Science and Game Theory · Computer Science 2021-06-10 Hau Chan , Aris Filos-Ratsikas , Bo Li , Minming Li , Chenhao Wang

Random dimensionality reduction is a versatile tool for speeding up algorithms for high-dimensional problems. We study its application to two clustering problems: the facility location problem, and the single-linkage hierarchical clustering…

Data Structures and Algorithms · Computer Science 2021-07-06 Shyam Narayanan , Sandeep Silwal , Piotr Indyk , Or Zamir

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

Optimization and Control · Mathematics 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan