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The recent large scale availability of mobility data, which captures individual mobility patterns, poses novel operational problems that are exciting and challenging. Motivated by this, we introduce and study a variant of the…

数据结构与算法 · 计算机科学 2023-12-12 Ozan Candogan , Yiding Feng

In this work, we introduce and study the $p$-$\alpha$-closest-center problem ($p\alpha$CCP), which generalizes the $p$-second-center problem, a recently emerged variant of the classical $p$-center problem. In the $p\alpha$CCP, we are given…

最优化与控制 · 数学 2026-03-16 Elisabeth Gaar , Sara Joosten , Markus Sinnl

In this paper, we will formalize the method of dual fitting and the idea of factor-revealing LP. This combination is used to design and analyze two greedy algorithms for the metric uncapacitated facility location problem. Their…

数据结构与算法 · 计算机科学 2007-05-23 Kamal Jain , Mohammad Mahdian , Evangelos Markakis , Amin Saberi , Vijay V. Vazirani

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…

最优化与控制 · 数学 2021-02-22 Leopoldo E. Cárdenas-Barrón , Rafael A. Melo , Marcio C. Santos

Consider an online facility assignment problem where a set of facilities $F = \{ f_1, f_2, f_3, \cdots, f_{|F|} \}$ of equal capacity $l$ is situated on a metric space and customers arrive one by one in an online manner on that space. We…

数据结构与算法 · 计算机科学 2020-09-04 Saad Al Muttakee , Abu Reyan Ahmed , Md. Saidur Rahman

The metric capacitated facility location is a well-studied problem for which, while constant factor approximations are known, no efficient relaxation with constant integrality gap is known. The question whether there is such a relaxation is…

数据结构与算法 · 计算机科学 2013-12-09 Stavros G. Kolliopoulos , Yannis Moysoglou

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

最优化与控制 · 数学 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

数据结构与算法 · 计算机科学 2026-01-23 Danny Segev

The multi allocation p-hub median problem (MApHM), the multi allocation uncapacitated hub location problem (MAuHLP) and the multi allocation p-hub location problem (MApHLP) are common hub location problems with several practical…

离散数学 · 计算机科学 2023-07-17 Niklas Jost

We study a problem related to submodular function optimization and the exact matching problem for which we show a rather peculiar status: its natural LP-relaxation can have fractional optimal vertices, but there is always also an optimal…

数据结构与算法 · 计算机科学 2025-04-11 Alexander Armbruster , Lars Rohwedder , Stefan Weltge , Andreas Wiese , Ruilong Zhang

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

数据结构与算法 · 计算机科学 2021-07-06 Klaus Jansen , Malin Rau

We present prior robust algorithms for a large class of resource allocation problems where requests arrive one-by-one (online), drawn independently from an unknown distribution at every step. We design a single algorithm that, for every…

数据结构与算法 · 计算机科学 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

The convex feasibility problem (CFP) is to find a feasible point in the intersection of finitely many convex and closed sets. If the intersection is empty then the CFP is inconsistent and a feasible point does not exist. However,…

最优化与控制 · 数学 2018-04-27 Yair Censor , Maroun Zaknoon

The \emph{dynamic facility location problem} is a generalization of the classic facility location problem proposed by Eisenstat, Mathieu, and Schabanel to model the dynamics of evolving social/infrastructure networks. The generalization…

数据结构与算法 · 计算机科学 2014-11-18 Hyung-Chan An , Ashkan Norouzi-Fard , Ola Svensson

We introduce a strategic decision-making problem faced by logistics providers (LPs) seeking facility location decisions that lead to profitable operations. The profitability depends on the revenue generated through agreements with shippers,…

最优化与控制 · 数学 2024-06-13 David Pinzon , Emma Frejinger , Bernard Gendron

This paper deals with a bilevel approach of the location-allocation problem with dimensional facilities. We present a general model that allows us to consider very general shapes of domains for the dimensional facilities and we prove the…

最优化与控制 · 数学 2018-06-27 Lina Mallozzi , Justo Puerto , Moisés Rodríguez-Madrena

Recent years have witnessed the rise of many successful e-commerce marketplace platforms like the Amazon marketplace, AirBnB, Uber/Lyft, and Upwork, where a central platform mediates economic transactions between buyers and sellers.…

计算机科学与博弈论 · 计算机科学 2018-03-01 Reza Alijani , Siddhartha Banerjee , Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala

We study huge-scale assortment optimization problems to maximize expected revenue under customer choice, addressing a fundamental challenge in industries such as transportation, retail, and healthcare. The choice-based linear programming…

最优化与控制 · 数学 2026-02-27 Donghao Zhu , Hanzhang Qin , Ching-pei Lee , Yuki Saito , Takahiro Kawashima , Kenji Fukumizu

We study the mechanism design problem of facility location on a metric space in the learning-augmented framework, where mechanisms have access to imperfect predictions of the optimal facility locations. Our objective is to design…

计算机科学与博弈论 · 计算机科学 2026-05-05 Hau Chan , Jianan Lin , Chenhao Wang

In this note, we consider the capacitated facility location problem when the transportation costs of the instance satisfy the Monge property. We show that a straightforward dynamic program finds the optimal solution when the demands are…

数据结构与算法 · 计算机科学 2020-01-10 Alice Paul , David P. Williamson