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In power systems, large-scale optimisation problems are extensively used to plan for capacity expansion at the supra-national level. However, their cost-optimal solutions are often not exploitable by decision-makers who are preferably…

Optimization and Control · Mathematics 2022-06-01 Antoine Dubois , Damien Ernst

Multi-agent routing problems have gained significant attention recently due to their wide range of industrial applications, ranging from logistics warehouse automation to indoor service robots. Conventionally, they are modeled as classical…

Multiagent Systems · Computer Science 2026-01-08 Fengming Zhu , Fangzhen Lin

We consider the {\em Capacitated Domination} problem, which models a service-requirement assignment scenario and is also a generalization of the well-known {\em Dominating Set} problem. In this problem, given a graph with three parameters…

Discrete Mathematics · Computer Science 2015-05-18 Mong-Jen Kao , Han-Lin Chen

We consider the problem of reserving link capacity in a network in such a way that any of a given set of flow scenarios can be supported. In the optimal capacity reservation problem, we choose the reserved link capacities to minimize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-03 Nicholas Moehle , Xinyue Shen , Zhi-Quan Luo , Stephen Boyd

We study variants of the Optimal Refugee Resettlement problem where a set $F$ of refugee families need to be allocated to a set $L$ of possible places of resettlement in a feasible and optimal way. Feasibility issues emerge from the…

Computer Science and Game Theory · Computer Science 2024-08-19 Jiehua Chen , Ildikó Schlotter , Sofia Simola

Massive surges of enrollments in courses have led to a crisis in several computer science departments - not only is the demand for certain courses extremely high from majors, but the demand from non-majors is also very high. Much of the…

Data Structures and Algorithms · Computer Science 2026-02-26 Arpita Biswas , Yiduo Ke , Samir Khuller , Quanquan C. Liu

Budget Minimization is a scheduling problem with precedence constraints, i.e., a scheduling problem on a partially ordered set of jobs $(N, \unlhd)$. A job $j \in N$ is available for scheduling, if all jobs $i \in N$ with $i \unlhd j$ are…

Discrete Mathematics · Computer Science 2019-06-27 Marinus Gottschau , Felix Happach , Marcus Kaiser , Clara Waldmann

We study the capacitated $k$-facility location problem, in which we are given a set of clients with demands, a set of facilities with capacities and a constant number $k$. It costs $f_i$ to open facility $i$, and $c_{ij}$ for facility $i$…

Data Structures and Algorithms · Computer Science 2014-09-15 Karen Aardal , Pieter van den Berg , Dion Gijswijt , Shanfei Li

We consider the problem of matchings under two-sided preferences in the presence of maximum as well as minimum quota requirements for the agents. This setting, studied as the Hospital Residents with Lower Quotas (HRLQ) in literature, models…

Data Structures and Algorithms · Computer Science 2020-05-19 Prem Krishnaa , Girija Limaye , Meghana Nasre , Prajakta Nimbhorkar

We tackle the problem of partitioning players into groups of fixed size, such as allocating eligible students to shared dormitory rooms. Each student submits preferences over the other individual students. We study several settings, which…

Computer Science and Game Theory · Computer Science 2019-06-21 Ágnes Cseh , Tamás Fleiner , Petra Harján

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

Information Retrieval · Computer Science 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

Optimization is fundamental in many areas of science, from computer science and information theory to engineering and statistical physics, as well as to biology or social sciences. It typically involves a large number of variables and a…

Statistical Mechanics · Physics 2009-07-08 Lenka Zdeborová

Computing an optimal cycle in a given homology class, also referred to as the homology localization problem, is known to be an NP-hard problem in general. Furthermore, there is currently no known optimality criterion that localizes classes…

Computational Geometry · Computer Science 2024-06-06 Amritendu Dhar , Vijay Natarajan , Abhishek Rathod

Allocation and planning with a collection of tasks and a group of agents is an important problem in multiagent systems. One commonly faced bottleneck is scalability, as in general the multiagent model increases exponentially in size with…

Multiagent Systems · Computer Science 2023-05-09 Thomas Robinson , Guoxin Su

We study a problem of fundamental importance to ICNs, namely, minimizing routing costs by jointly optimizing caching and routing decisions over an arbitrary network topology. We consider both source routing and hop-by-hop routing settings.…

Networking and Internet Architecture · Computer Science 2017-08-22 Stratis Ioannidis , Edmund Yeh

While agent evaluation has shifted toward long-horizon tasks, most benchmarks still emphasize local, step-level reasoning rather than the global constrained optimization (e.g., time and financial budgets) that demands genuine planning…

Artificial Intelligence · Computer Science 2026-01-27 Yinger Zhang , Shutong Jiang , Renhao Li , Jianhong Tu , Yang Su , Lianghao Deng , Xudong Guo , Chenxu Lv , Junyang Lin

During a hospital stay, a roommate can significantly influence a patient's overall experience both positivly and negatively. Therefore, hospital staff tries to assign patients together to a room that are likely to be compatible. However,…

Optimization and Control · Mathematics 2025-03-04 Tabea Brandt , Christina Büsing , Felix Engelhardt

Coordinating the motion of multiple agents in constrained environments is a fundamental challenge in robotics, motion planning, and scheduling. A motivating example involves $n$ robotic arms, each represented as a line segment. The…

Computational Complexity · Computer Science 2025-08-29 Nicolas Bousquet , Remy El Sabeh , Amer E. Mouawad , Naomi Nishimura

We study real-time routing policies in smart transit systems, where the platform has a combination of cars and high-capacity vehicles (e.g., buses or shuttles) and seeks to serve a set of incoming trip requests. The platform can use its…

Optimization and Control · Mathematics 2021-03-22 Siddhartha Banerjee , Chamsi Hssaine , Noémie Périvier , Samitha Samaranayake

A long line of literature has focused on the problem of selecting a team of individuals from a large pool of candidates, such that certain constraints are respected, and a given objective function is maximized. Even though extant research…

Social and Information Networks · Computer Science 2019-05-09 Sanaz Bahargam , Theodoros Lappas , Evimaria Terzi
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