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In this paper, we study the nurse rostering problem that considers multiple units and many soft time-related constraints. An efficient branch and price solution approach that relies on a fast algorithm to solve the pricing subproblem of the…

Optimization and Control · Mathematics 2023-11-10 Wanzhe Hu , Xiaozhou He , Li Luo , Panos M. Pardalos

We study an extension of the classical Bin Packing Problem, where each item consumes the bin capacity during a given time window that depends on the item itself. The problem asks for finding the minimum number of bins to pack all the items…

Optimization and Control · Mathematics 2019-02-14 Mauro Dell'Amico , Fabio Furini , Manuel Iori

The rapid expansion of wind and solar energy leads to an increasing volatility in the electricity generation. Previous studies have shown that storage devices provide an opportunity to balance fluctuations in the power grid. An economical…

Optimization and Control · Mathematics 2017-11-06 Lars Siemer , Wided Medjroubi

This paper presents the formulation of a combinatorial optimization problem with the following characteristics: i.the search space is the power set of a finite set structured as a Boolean lattice; ii.the cost function forms a U-shaped curve…

Computer Vision and Pattern Recognition · Computer Science 2008-11-03 Marcelo Ris , Junior Barrera , David C. Martins

This paper focuses on the Facility Location Problem with Bernoulli Demand, a discrete facility location problem with uncertainty where the joint distribution of the customers' demands is expressed by means of a set of possible scenarios. A…

Optimization and Control · Mathematics 2023-10-31 Maria Albareda-Sambola , Elena Fernández , Francisco Saldanha-da-Gama

Facility location is fundamental in operations research, mechanism design, and algorithmic game theory, with applications ranging from urban infrastructure planning to distributed systems. Recent research in this area has focused on…

Data Structures and Algorithms · Computer Science 2025-07-15 Yangguang Shi , Zhenyu Xue

We studied the Fault-Tolerant Facility Placement problem (FTFP) which generalizes the uncapacitated facility location problem (UFL). In FTFP, we are given a set F of sites at which facilities can be built, and a set C of clients with some…

Data Structures and Algorithms · Computer Science 2011-08-30 Li Yan , Marek Chrobak

Facility location is a prominent optimization problem that has inspired a large quantity of both theoretical and practical studies in combinatorial optimization. Although the problem has been investigated under various settings reflecting…

Data Structures and Algorithms · Computer Science 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An

Large-scale AI data center portfolios procure identical SKUs across geographically heterogeneous campuses, yet finance and operations require a single system-level 'world price' per SKU for budgeting and planning. A common practice is…

General Economics · Economics 2026-01-27 Qi He

We study a variant of the competitive facility location problem, in which a company is to locate new facilities in a market where competitor's facilities already exist. We consider the scenario where only a limited number of possible…

Optimization and Control · Mathematics 2020-02-25 Yun Hui Lin , Qingyun Tian

Demand response (DR) is a cost-effective and environmentally friendly approach for mitigating the uncertainties in renewable energy integration by taking advantage of the flexibility of customers' demands. However, existing DR programs…

Optimization and Control · Mathematics 2017-05-11 Joshua Comden , Zhenhua Liu , Yue Zhao

We propose a general analytical framework for single-facility continuous location problems under spatial demand uncertainty. In contrast to classical formulations based on discrete or regionally aggregated demands, the proposed model…

Optimization and Control · Mathematics 2025-11-05 Víctor Blanco , Miguel Martínez-Antón

In the current work we introduce a novel estimation of distribution algorithm to tackle a hard combinatorial optimization problem, namely the single-machine scheduling problem, with uncertain delivery times. The majority of the existing…

Data Structures and Algorithms · Computer Science 2013-12-05 Boris Mitavskiy , Jun He

In this paper, we study a facility location problem within a competitive market context, where customer demand is predicted by a random utility choice model. Unlike prior research, which primarily focuses on simple constraints such as a…

Artificial Intelligence · Computer Science 2024-03-12 Hoang Giang Pham , Tien Thanh Dam , Ngan Ha Duong , Tien Mai , Minh Hoang Ha

We attack the 4-level facility location problem (4L-FLP), a critical component in supply chains. Foundational tasks here involve selecting markets, plants, warehouses, and distribution centers to maximize profits while considering related…

Optimization and Control · Mathematics 2025-04-22 Bahram Alidaee , Haibo Wang

In this paper, we investigate the capacitated assortment optimization problem with pricing under the paired combinatorial logit model, whose goal is to identify the revenue-maximizing subset of products as well as their selling prices…

Optimization and Control · Mathematics 2018-10-24 Daihan Zhang , Zhenghe Zhong , Chuning Gao , Rui Chen

Resiliency plays a critical role in designing future communication networks. How to make edge computing systems resilient against unpredictable failures and fluctuating demand is an important and challenging problem. To this end, this paper…

Optimization and Control · Mathematics 2023-06-28 Jiaming Cheng , Duong Tung Nguyen , Vijay K. Bhargava

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

The length-constrained cycle partition problem (LCCP) is a graph optimization problem in which a set of nodes must be partitioned into a minimum number of cycles. Every node is associated with a critical time and the length of every cycle…

Optimization and Control · Mathematics 2024-02-05 Mohammed Ghannam , Gioni Mexi , Edward Lam , Ambros Gleixner

We consider the {\em lower-bounded facility location} (\lbfl) problem (also sometimes called {\em load-balanced facility location}), which is a generalization of {\em uncapacitated facility location} (\ufl), where each open facility is…

Data Structures and Algorithms · Computer Science 2012-08-31 Sara Ahmadian , Chaitanya Swamy