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Prevailing methods of course allocation at undergraduate institutions involve reserving seats to give priority to designated groups of students. We introduce a competitive equilibrium-based mechanism that assigns course seats using student…

Theoretical Economics · Economics 2025-12-24 Daniel Kornbluth , Alexey Kushnir

Allocation tasks represent a class of problems where a limited amount of resources must be allocated to a set of entities at each time step. Prominent examples of this task include portfolio optimization or distributing computational…

Artificial Intelligence · Computer Science 2024-09-30 David Winkel , Niklas Strauß , Maximilian Bernhard , Zongyue Li , Thomas Seidl , Matthias Schubert

This paper discusses various types of constraints, difficulties and solutions to overcome the challenges regarding university course allocation problem. A hybrid evolutionary algorithm has been defined combining Local Repair Algorithm and…

Neural and Evolutionary Computing · Computer Science 2023-07-25 Dibyo Fabian Dofadar , Riyo Hayat Khan , Shafqat Hasan , Towshik Anam Taj , Arif Shakil , Mahbub Majumdar

The Teacher Assignment Problem is a combinatorial optimization problem that involves assigning teachers to courses while guaranteeing that all courses are covered, teachers do not teach too few or too many hours, teachers do not switch…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Moa Johannesson , Lina Brink , Alvin Combrink , Sabino Francesco Roselli , Martin Fabian

In this work, we introduce a learning model designed to meet the needs of applications in which computational resources are limited, and robustness and interpretability are prioritized. Learning problems can be formulated as constrained…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Christos Mavridis , John Baras

Quantum annealing method has been widely attracted attention in statistical physics and information science since it is expected to be a powerful method to obtain the best solution of optimization problem as well as simulated annealing. The…

Disordered Systems and Neural Networks · Physics 2017-08-23 Shu Tanaka , Ryo Tamura

We consider the problem of assigning students to schools, when students have different utilities for schools and schools have capacity. There are additional group fairness considerations over students that can be captured either by concave…

Data Structures and Algorithms · Computer Science 2025-04-24 Santhini K. A. , Kamesh Munagala , Meghana Nasre , Govind S. Sankar

Information processing techniques based on sparseness have been actively studied in several disciplines. Among them, a mathematical framework to approximately express a given dataset by a combination of a small number of basis vectors of an…

Information Theory · Computer Science 2016-05-04 Tomoyuki Obuchi , Yoshiyuki Kabashima

This article addresses the logistics of implementing projects in an undergraduate mathematics class and is intended both for new instructors and for instructors who have had negative experiences implementing projects in the past. Project…

History and Overview · Mathematics 2017-01-06 R. Corban Harwood

We report our experience in two installations of a course on data visualization that featured project-based learning. Given the rationale of this approach, we show which input was provided when necessary for the students to achieve their…

Computers and Society · Computer Science 2021-11-09 Dietrich Kammer , Elena Stoll , Adam Urban

Universities regularly face the challenging task of assigning classes to thousands of students while considering their preferences, along with course schedules and capacities. Ensuring the effectiveness and fairness of course allocation…

Computer Science and Game Theory · Computer Science 2025-02-18 George Bissias , Cyrus Cousins , Paula Navarrete Diaz , Yair Zick

In this pedagogical work we reviewed the mathematical formalism and the physical interpretation, based on statistical mechanics, of the meta-heuristics called simulated annealing. Moreover, we presented the mathematical formulation of the…

Statistical Mechanics · Physics 2021-04-09 Paulo J. P. de Souza

Hierarchical learning algorithms that gradually approximate a solution to a data-driven optimization problem are essential to decision-making systems, especially under limitations on time and computational resources. In this study, we…

Machine Learning · Computer Science 2023-03-22 Christos Mavridis , John Baras

We explore the applicability of quantum annealing to the approximation task of curve fitting. To this end, we consider a function that shall approximate a given set of data points and is written as a finite linear combination of…

Optimization and Control · Mathematics 2026-02-27 Philipp Isserstedt , Daniel Jaroszewski , Wolfgang Mergenthaler , Felix Paul , Bastian Harrach

This paper presents a simulation approach to enhance the performance of heuristics for multi-project scheduling. Unlike other heuristics available in the literature that use only one priority criterion for resource allocation, this paper…

Portfolio Management · Quantitative Finance 2024-06-05 Pablo Alvarez-Campana , Felix Villafanez , Fernando Acebes , David Poza

This research concerns design optimization problems involving numerous design parameters and large computational models. These problems generally consist in non-convex constrained optimization problems in large and sometimes complex search…

Optimization and Control · Mathematics 2024-12-20 A. Batou

Using a specially constructed set of hard 2-SAT problems with four satisfying assignments, we study the scaling and sampling performance of numerical simulation of quantum annealing as well as that of the physical quantum annealers offered…

Quantum Physics · Physics 2025-11-04 Vrinda Mehta , Hans De Raedt , Kristel Michielsen , Fengping Jin

Quantum annealers of D-Wave Systems, Inc., offer an efficient way to compute high quality solutions of NP-hard problems. This is done by mapping a problem onto the physical qubits of the quantum chip, from which a solution is obtained after…

Quantum Physics · Physics 2022-11-30 Elijah Pelofske , Georg Hahn , Hristo N. Djidjev

We study the problem of distributed task allocation inspired by the behavior of social insects, which perform task allocation in a setting of limited capabilities and noisy environment feedback. We assume that each task has a demand that…

Multiagent Systems · Computer Science 2018-05-15 Anna Dornhaus , Nancy Lynch , Frederik Mallmann-Trenn , Dominik Pajak , Tsvetomira Radeva

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

Optimization and Control · Mathematics 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo