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Packing and vehicle routing problems play an important role in the area of supply chain management. In this paper, we introduce a non-linear knapsack problem that occurs when packing items along a fixed route and taking into account travel…

Data Structures and Algorithms · Computer Science 2015-04-16 Sergey Polyakovskiy , Frank Neumann

We propose a novel solution framework for inverse mixed-integer optimization based on analytic center concepts from interior point methods. We characterize the optimality gap of a given solution, provide structural results, and propose…

Optimization and Control · Mathematics 2025-04-08 Samir Elhedhli , Göksu Ece Okur

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

Optimization and Control · Mathematics 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

Mixed integer nonlinear programming (MINLP) problems are encountered in modeling a physical/industrial process consisting both nonlinearity and discrete selective parameters. There are variety of algorithms for solving MINLP problems most…

Optimization and Control · Mathematics 2024-05-17 Negin Bagherpour , Mahdi Sharifzadeh

The line coverage problem involves finding efficient routes for the coverage of linear features by one or more resource-constrained robots. Linear features model environments like road networks, power lines, and oil and gas pipelines. Two…

Robotics · Computer Science 2024-01-02 Saurav Agarwal , Srinivas Akella

We study a version of the metric facility location problem (or, equivalently, variants of the committee selection problem) in which we must choose $k$ facilities in an arbitrary metric space to serve some set of clients $C$. We consider…

Data Structures and Algorithms · Computer Science 2025-07-24 Yue Han , Elliot Anshelevich

The floor layout problem (FLP) tasks a designer with positioning a collection of rectangular boxes on a fixed floor in such a way that minimizes total communication costs between the components. While several mixed integer programming (MIP)…

Optimization and Control · Mathematics 2017-04-12 Joey Huchette , Santanu S. Dey , Juan Pablo Vielma

Finding point configurations, that yield the maximum polarization (Chebyshev constant) is gaining interest in the field of geometric optimization. In the present article, we study the problem of unconstrained maximum polarization on compact…

Optimization and Control · Mathematics 2023-03-20 Jan Rolfes , Robert Schüler , Marc Christian Zimmermann

A variant of the well-known Set Covering Problem is studied in this paper, where subsets of a collection have to be selected, and pairwise conflicts among subsets of items exist. The selection of each subset has a cost, and the inclusion of…

Optimization and Control · Mathematics 2025-04-22 Roberto Montemanni , Derek H. Smith

A common approach for designing scalable algorithms for massive data sets is to distribute the computation across, say $k$, machines and process the data using limited communication between them. A particularly appealing framework here is…

Data Structures and Algorithms · Computer Science 2017-05-24 Sepehr Assadi , Sanjeev Khanna

In any communication network, the maximum number of link-disjoint paths between any pair of communicating nodes, S and T, is limited by the S-T minimum link-cut. Multipath routing protocols have been proposed in the literature to make use…

Networking and Internet Architecture · Computer Science 2009-08-06 Osameh M. Al-Kofahi , Ahmed E. Kamal

We study the parameterized complexity of the problems of finding a maximum common (induced) subgraph of two given graphs. Since these problems generalize several NP-complete problems, they are intractable even when parameterized by strongly…

Data Structures and Algorithms · Computer Science 2025-12-09 Tesshu Hanaka , Yuto Okada , Yota Otachi , Lena Volk

Coverage problems are central in optimization and have a wide range of applications in data mining and machine learning. While several distributed algorithms have been developed for coverage problems, the existing methods suffer from…

Data Structures and Algorithms · Computer Science 2017-03-13 MohammadHossein Bateni , Hossein Esfandiari , Vahab Mirrokni

Coverage motion planning is essential to a wide range of robotic tasks. Unlike conventional motion planning problems, which reason over temporal sequences of states, coverage motion planning requires reasoning over the spatial distribution…

Robotics · Computer Science 2025-11-17 Max M. Sun , Jueun Kwon , Todd Murphey

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

Data Structures and Algorithms · Computer Science 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

We present a class of linear programming approximations for constrained optimization problems. In the case of mixed-integer polynomial optimization problems, if the intersection graph of the constraints has bounded tree-width our…

Optimization and Control · Mathematics 2016-10-20 Daniel Bienstock , Gonzalo Munoz

Data is undoubtedly becoming a commodity like oil, land, and labor in the 21st century. Although there have been many successful marketplaces for data trading, the existing data marketplaces lack consideration of the case where buyers want…

Databases · Computer Science 2025-05-12 Wenzhe Yang , Shixun Huang , Sheng Wang , Zhiyong Peng

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

We consider the problem of allocating multiple heterogeneous resources geographically and over time to meet demands that require some subset of the available resource types simultaneously at a specified time, location, and duration. The…

Optimization and Control · Mathematics 2022-06-15 Arden Baxter , Pinar Keskinocak , Mohit Singh

This paper addresses the on-demand meeting-point-based feeder electric bus routing and charging scheduling problem under charging synchronization constraints. The problem considered exhibits the structure of the location routing problem,…

Optimization and Control · Mathematics 2024-02-12 Tai-Yu Ma , Yumeng Fang , Richard D. Connors , Francesco Viti , Haruko Nakao
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