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This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

We consider the multi-item inventory lot-sizing problem with supplier selection. The problem consists of determining an optimal purchasing plan in order to satisfy dynamic deterministic demands for multiple items over a finite planning…

Optimization and Control · Mathematics 2021-02-22 Leopoldo E. Cárdenas-Barrón , Rafael A. Melo , Marcio C. Santos

We describe the first nearly linear-time approximation algorithms for explicitly given mixed packing/covering linear programs, and for (non-metric) fractional facility location. We also describe the first parallel algorithms requiring only…

Data Structures and Algorithms · Computer Science 2014-11-06 Neal E. Young

Many multiobjective real-world problems, such as facility location and bus routing, become more complex when optimizing the priorities of multiple stakeholders. These are often modeled using infinite classes of objectives, e.g., $L_p$ norms…

Data Structures and Algorithms · Computer Science 2025-10-24 Swati Gupta , Jai Moondra , Mohit Singh

The rapid proliferation of omnichannel retail strategies has fundamentally transformed store replenishment operations in uncertain supply chain environments. With retail stores increasingly acting as hybrid fulfillment centers, pooled…

Optimization and Control · Mathematics 2026-05-05 Abdüssamet Sökel

This paper introduces a novel theoretical framework and a suite of highly efficient, parallelizable algorithms for solving the large-scale multicommodity flow (MCF) feasibility problem. We reframe the classical constraint-satisfaction…

Optimization and Control · Mathematics 2025-08-26 Pengfei Liu

In the Simple Plant Location Problem with Order (SPLPO), the aim is to open a subset of plants to assign every customer taking into account their preferences. Customers rank the plants in strict order and are assigned to their favorite open…

Optimization and Control · Mathematics 2025-07-30 Concepción Domínguez , Juan de Dios Jaime-Alcántara

A new variant of the classic capacitated facility location problem, which considers incompatibilities between customers, has recently been introduced in the literature. This problem captures the situation where given pairs of customers…

Artificial Intelligence · Computer Science 2026-05-28 Ida Gjergji , Lucas Kletzander , Nysret Musliu , Andrea Schaerf

In this paper the capacitated hub location problem is formulated by a minimax regret model, which takes into account uncertain setup cost and demand. We focus on hub location with multiple allocations as a strategic problem requiring one…

Data Structures and Algorithms · Computer Science 2017-09-19 Iman Kazemian , Samin Aref

In this paper, we present a framework to design approximation algorithms for capacitated facility location problems with penalties/outliers using LP-rounding. Primal-dual technique, which has been particularly successful in dealing with…

Data Structures and Algorithms · Computer Science 2021-08-19 Rajni Dabas , Neelima Gupta

Logistics network is expected that opened facilities work continuously for a long time horizon without any failure, but in real world problems, facilities may face disruptions. This paper studies a reliable joint inventory location problem…

Data Structures and Algorithms · Computer Science 2017-11-28 Elham Taghizadeh , Mostafa Abedzadeh , Mostafa Setak

In the online non-metric variant of the facility location problem, there is a given graph consisting of a set $F$ of facilities (each with a certain opening cost), a set $C$ of potential clients, and weighted connections between them. The…

Data Structures and Algorithms · Computer Science 2021-01-12 Marcin Bienkowski , Björn Feldkord , Paweł Schmidt

Capacitated fair-range $k$-clustering generalizes classical $k$-clustering by incorporating both capacity constraints and demographic fairness. In this setting, each facility has a capacity limit and may belong to one or more demographic…

Data Structures and Algorithms · Computer Science 2025-05-23 Ameet Gadekar , Suhas Thejaswi

We study the robust charging station location problem for a large-scale commercial taxi fleet. Vehicles within the fleet coordinate on charging operations but not on customer acquisition. We decide on a set of charging stations to open to…

Optimization and Control · Mathematics 2023-04-18 Gregor Godbersen , Rainer Kolisch , Maximilian Schiffer

The p-median problem is a common model for optimal facility location. The task is to place p facilities (e.g., warehouses or schools) in a heterogeneously populated space such that the average distance from a person's home to the nearest…

Physics and Society · Physics 2012-01-09 Michael T. Gastner

In this paper, we propose an exact general algorithm for solving non-convex optimization problems, where the non-convexity arises due to the presence of an inverse S-shaped function. The proposed method involves iteratively approximating…

Optimization and Control · Mathematics 2023-07-27 Arka Das , Ankur Sinha , Sachin Jayaswal

This paper studies a practical regional demand continuous multifacility location problems whose main goal is to locate a given number of services and entry points in each region to distribute certain products to the users at minimum…

Optimization and Control · Mathematics 2024-12-31 Víctor Blanco , Ricardo Gázquez , Marina Leal

We address the problem of locating facilities on the $[0,1]$ interval based on reports from strategic agents. The cost of each agent is her distance to the closest facility, and the global objective is to minimize either the maximum cost of…

Computer Science and Game Theory · Computer Science 2017-01-04 Iddan Golomb , Christos Tzamos

In traditional facility location problems, a set of points is provided, and the objective is to determine the best location for a new facility based on criteria such as minimizing cost, time, and distances between clients and facilities.…

Optimization and Control · Mathematics 2025-03-11 Nazanin Tour-Savadkoohi , Jafar Fathali

We study local search algorithms for metric instances of facility location problems: the uncapacitated facility location problem (UFL), as well as uncapacitated versions of the $k$-median, $k$-center and $k$-means problems. All these…

Data Structures and Algorithms · Computer Science 2008-09-16 Anupam Gupta , Kanat Tangwongsan
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