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We propose combined allocation, assignment, sequencing, and scheduling problems under uncertainty involving multiple operation rooms (ORs), anesthesiologists, and surgeries, as well as methodologies for solving such problems. Specifically,…

Optimization and Control · Mathematics 2024-01-15 Man Yiu Tsang , Karmel S. Shehadeh , Frank E. Curtis , Beth Hochman , Tricia E. Brentjens

In the resource allocation problem (RAP), the goal is to divide a given amount of resource over a set of activities while minimizing the cost of this allocation and possibly satisfying constraints on allocations to subsets of the…

Optimization and Control · Mathematics 2023-02-28 Martijn H. H. Schoot Uiterkamp , Marco E. T. Gerards , Johann L. Hurink

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

This paper introduces a new method of partitioning the solution space of a multi-objective optimisation problem for parallel processing, called Efficient Projection Partitioning. This method projects solutions down into a single dimension,…

Optimization and Control · Mathematics 2017-11-23 William Pettersson , Melih Ozlen

Allocation of scarce resources is a recurring challenge for the public sector: something that emerges in areas as diverse as healthcare, disaster recovery, and social welfare. The complexity of these policy domains and the need for meeting…

Computers and Society · Computer Science 2023-10-11 Saba Esnaashari , Jonathan Bright , John Francis , Youmna Hashem , Vincent Straub , Deborah Morgan

The resource allocation problem consists of the optimal distribution of a budget between agents in a group. We consider such a problem in the context of open systems, where agents can be replaced at some time instances. These replacements…

Multiagent Systems · Computer Science 2022-07-20 Renato Vizuete , Charles Monnoyer de Galland , Julien M. Hendrickx , Paolo Frasca , Elena Panteley

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

Resource allocation and task prioritisation are key problem domains in the fields of autonomous vehicles, networking, and cloud computing. The challenge in developing efficient and robust algorithms comes from the dynamic nature of these…

Artificial Intelligence · Computer Science 2021-02-17 Niall Creech , Natalia Criado Pacheco , Simon Miles

In this paper we present efficient algorithmic solutions for several constrained resource allocation, management and discovery problems. We consider new types of resource allocation models and constraints, and we present new geometric…

Data Structures and Algorithms · Computer Science 2009-06-09 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Daniel Ardelean

Allocating scarce resources among agents to maximize global utility is, in general, computationally challenging. We focus on problems where resources enable agents to execute actions in stochastic environments, modeled as Markov decision…

Multiagent Systems · Computer Science 2011-10-13 D. A. Dolgov , E. H. Durfee

Resource allocation with quality of service constraints is one of the most challenging problems in elastic optical networks which is normally formulated as an MINLP optimization program. In this paper, we focus on novel properties of…

Information Theory · Computer Science 2017-05-04 Mohammad Hadi , Mohammad Reza Pakravan

A number of problems in relational Artificial Intelligence can be viewed as Stochastic Constraint Optimization Problems (SCOPs). These are constraint optimization problems that involve objectives or constraints with a stochastic component.…

Artificial Intelligence · Computer Science 2018-07-04 Anna L. D. Latour , Behrouz Babaki , Siegfried Nijssen

Evolutions of the trading landscape lead to the capability to exchange the same financial instrument on different venues. Because of liquidity issues, the trading firms split large orders across several trading destinations to optimize…

Trading and Market Microstructure · Quantitative Finance 2010-07-28 Sophie Laruelle , Charles-Albert Lehalle , Gilles Pagès

It has been found that stochastic algorithms often find good solutions much more rapidly than inherently-batch approaches. Indeed, a very useful rule of thumb is that often, when solving a machine learning problem, an iterative technique…

Machine Learning · Computer Science 2013-08-19 Andrew Cotter

There are numerous applications which require the ability to take certain actions (e.g. distribute money, medicines, people etc.) over a geographic region. A disaster relief organization must allocate people and supplies to parts of a…

Data Structures and Algorithms · Computer Science 2013-03-20 Paulo Shakarian , V. S. Subrahmanian

Real-world distributed systems and networks are often unreliable and subject to random failures of its components. Such a stochastic behavior affects adversely the complexity of optimization tasks performed routinely upon such systems, in…

Artificial Intelligence · Computer Science 2012-12-12 Milos Hauskrecht , Tomas Singliar

In this paper, we introduce a technique to enhance the computational efficiency of solution algorithms for high-dimensional discrete simulation-based optimization problems. The technique is based on innovative adaptive partitioning…

Optimization and Control · Mathematics 2024-12-04 Jing Lu , Tianli Zhou , Carolina Osorio

Optimization problems aim to find the optimal solution, which is becoming increasingly complex and difficult to solve. Traditional evolutionary optimization methods always overlook the granular characteristics of solution space. In the real…

Machine Learning · Computer Science 2025-02-19 Shuyin Xia , Xinyu Lin , Guan Wang , De-Gang Chen , Sen Zhao , Guoyin Wang , Jing Liang

A number of prototypical optimization problems in multi-agent systems (e.g., task allocation and network load-sharing) exhibit a highly local structure: that is, each agent's decision variables are only directly coupled to few other agent's…

Multiagent Systems · Computer Science 2020-03-04 Robin Brown , Federico Rossi , Kiril Solovey , Michael T. Wolf , Marco Pavone

We develop a rounding method based on random walks in polytopes, which leads to improved approximation algorithms and integrality gaps for several assignment problems that arise in resource allocation and scheduling. In particular, it…

Data Structures and Algorithms · Computer Science 2017-12-19 Barna Saha , Aravind Srinivasan