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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

This paper presents a novel approach to solve capacitated facility location problems (FLP) that encompass various resource allocation problems. FLPs are a class of NP-hard combinatorial optimization problems, involving optimal placement and…

Optimization and Control · Mathematics 2025-04-03 Alisina Bayati , Dhananjay Tiwari , Srinivasa Salapaka

This work addresses the uniform parallel machine scheduling problem within an optimistic bilevel optimization framework. The leader seeks to minimize the weighted number of tardy jobs, while the follower aims to minimize the total…

Optimization and Control · Mathematics 2026-05-20 Quentin Schau , Federico Della Croce , Olivier Ploton , Vincent t'Kindt

Production planning must account for uncertainty in a production system, arising from fluctuating demand forecasts. Therefore, this article focuses on the integration of updated customer demand into the rolling horizon planning cycle. We…

Econometrics · Economics 2024-09-27 Manuel Schlenkrich , Wolfgang Seiringer , Klaus Altendorfer , Sophie N. Parragh

As rapidly growing AI computational demands accelerate the need for new hardware installation and maintenance, this work explores optimal data center resource management by balancing operational efficiency with fault tolerance through…

Artificial Intelligence · Computer Science 2025-04-02 Chang-Lin Chen , Jiayu Chen , Tian Lan , Zhaoxia Zhao , Hongbo Dong , Vaneet Aggarwal

In this study we introduce a new method to solve the Dynamics Facility Layout Problems (DFLPs). To represent each layout, we use the slicing tree method integrated with our proposed heuristic to obtain promising initial solutions. Then, we…

Optimization and Control · Mathematics 2019-08-29 Afshin Oroojlooy Jadid , Mohammad Firouz

A systematic technique to bound factor-revealing linear programs is presented. We show how to derive a family of upper bound factor-revealing programs (UPFRP), and show that each such program can be solved by a computer to bound the…

Data Structures and Algorithms · Computer Science 2015-03-19 Cristina G. Fernandes , Luís A. A. Meira , Flávio K. Miyazawa , Lehilton L. C. Pedrosa

In a single facility location problem, a set of points is given and the goal is finding the optimal location of new facility respect to given criteria such as minimizing time, cost and distances between the clients and facilities. On the…

Optimization and Control · Mathematics 2023-03-01 Jafar Fathali

Recent studies in maritime logistics have introduced a general ship routing problem and a benchmark suite based on real shipping segments, considering pickups and deliveries, cargo selection, ship-dependent starting locations, travel times…

Data Structures and Algorithms · Computer Science 2019-12-18 Gabriel Homsi , Rafael Martinelli , Thibaut Vidal , Kjetil Fagerholt

We consider the {\em matroid median} problem \cite{KrishnaswamyKNSS11}, wherein we are given a set of facilities with opening costs and a matroid on the facility-set, and clients with demands and connection costs, and we seek to open an…

Data Structures and Algorithms · Computer Science 2016-09-30 Chaitanya Swamy

We investigate the sequential competitive facility location problem (SCFLP) under partially binary rule where two companies sequentially open a limited number of facilities to maximize their market shares, requiring customers to patronize,…

Optimization and Control · Mathematics 2025-08-13 Yu-Qi Guo , Yan-Ru Wang , Wei-Kun Chen , Yu-Hong Dai

Floor planning is an important and difficult task in architecture. When planning office buildings, rooms that belong to the same organisational unit should be placed close to each other. This leads to the following NP-hard mathematical…

Computational Geometry · Computer Science 2021-07-13 Jonathan Klawitter , Felix Klesen , Alexander Wolff

This paper considers an extension of the vehicle routing problem with synchronization constraints and introduces the vehicle routing problem with multiple synchronization constraints and variable service time. This important problem is…

Optimization and Control · Mathematics 2023-08-29 Faisal Alkaabneh , Rabiatu Bonku

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…

Optimization and Control · Mathematics 2018-06-27 Lina Mallozzi , Justo Puerto , Moisés Rodríguez-Madrena

Cutting and Packing problems are occurring in different industries with a direct impact on the revenue of businesses. Generally, the goal in Cutting and Packing is to assign a set of smaller objects to a set of larger objects. To solve…

Artificial Intelligence · Computer Science 2021-10-28 Stefan Böhm , Martin Neumayer , Oliver Kramer , Alexander Schiendorfer , Alois Knoll

The Facility Location Problem (FLP) is a well-studied optimization problem with applications in many real-world scenarios. Past literature has explored the solutions from different perspectives to tackle FLPs. These include investigating…

Computer Science and Game Theory · Computer Science 2025-02-21 Avyukta Manjunatha Vummintala , Shivam Gupta , Shweta Jain , Sujit Gujar

Warehouses are nowadays the scene of complex logistic problems integrating different decision layers. This paper addresses the Joint Order Batching, Picker Routing and Sequencing Problem with Deadlines (JOBPRSP-D) in rectangular warehouses.…

Optimization and Control · Mathematics 2023-07-04 Olivier Briant , Hadrien Cambazard , Diego Cattaruzza , Nicolas Catusse , Anne-Laure Ladier , Maxime Ogier

This paper studies the application of the simulated annealing metaheuristic on the identical parallel machine scheduling problem, a variant of the broader optimal job scheduling problem. In the identical parallel machine scheduling problem,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Jiaxing Li , David Perkins

Buffer zones are essential in production systems to decouple sequential processes. In dense floor storage environments, such as space-constrained brownfield facilities, manual operation is increasingly challenged by severe labor shortages…

Robotics · Computer Science 2026-03-31 Max Disselnmeyer , Thomas Bömer , Laura Dörr , Bastian Amberg , Anne Meyer

We study a competitive facility location problem (CFLP), where two firms sequentially open new facilities within their budgets, in order to maximize their market shares of demand that follows a probabilistic choice model. This process is a…

Optimization and Control · Mathematics 2022-07-19 Mingyao Qi , Ruiwei Jiang , Siqian Shen