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In this paper we consider the problem of scheduling on parallel machines with a presence of incompatibilities between jobs. The incompatibility relation can be modeled as a complete multipartite graph in which each edge denotes a pair of…

Data Structures and Algorithms · Computer Science 2021-09-17 Tytus Pikies , Krzysztof Turowski , Marek Kubale

This paper considers the maximization of the expected maximum value of a portfolio of random variables subject to a budget constraint. We refer to this as the optimal college application problem. When each variable's cost, or each college's…

Optimization and Control · Mathematics 2022-05-10 Max Kapur , Sung-Pil Hong

The debts' clearing problem is about clearing all the debts in a group of $n$ entities (e.g. persons, companies) using a minimal number of money transaction operations. In our previous works we studied the problem, gave a dynamic…

Data Structures and Algorithms · Computer Science 2011-11-17 C. Pătcaş

Repair mechanisms are important within resilient systems to maintain the system in an operational state after an error occurred. Usually, constraints on the repair mechanisms are imposed, e.g., concerning the time or resources required…

Systems and Control · Computer Science 2017-07-12 Christel Baier , Clemens Dubslaff , Ľuboš Korenčiak , Antonín Kučera Vojtěch Řehák

Coflow is a network abstraction used to represent communication patterns in data centers. The coflow scheduling problem in large data centers is one of the most important $NP$-hard problems. Many previous studies on coflow scheduling mainly…

Data Structures and Algorithms · Computer Science 2023-08-31 Chi-Yeh Chen

This paper addresses a complex parallel machine scheduling problem with jobs divided into operations and operations grouped in families. Non-anticipatory family setup times are held at the beginning of each batch, defined by the combination…

Optimization and Control · Mathematics 2021-02-12 Davi Mecler , Victor Abu-Marrul , Rafael Martinelli , Arild Hoff

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

Data Structures and Algorithms · Computer Science 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

This paper presents a method to approximately solve stochastic optimal control problems in which the cost function and the system dynamics are polynomial. For stochastic systems with polynomial dynamics, the moments of the state can be…

Optimization and Control · Mathematics 2017-02-24 Andrew Lamperski , Khem Raj Ghusinga , Abhyudai Singh

We are given a set of $n$ jobs and a single processor that can vary its speed dynamically. Each job $J_j$ is characterized by its processing requirement (work) $p_j$, its release date $r_j$ and its deadline $d_j$. We are also given a budget…

Data Structures and Algorithms · Computer Science 2013-09-09 Eric Angel , Evripidis Bampis , Vincent Chau

We consider the model of a transportation problem with the objective of finding a minimum-cost transportation plan for shipping a given commodity from a set of supply centers to the customers. Since the exact values of supply and demand and…

Optimization and Control · Mathematics 2023-01-31 Elif Garajová , Miroslav Rada

In this paper we consider two problems regarding the scheduling of available personnel in order to perform a given quantity of work, which can be arbitrarily decomposed into a sequence of activities. We are interested in schedules which…

Data Structures and Algorithms · Computer Science 2013-01-22 Mugurel Ionut Andreica , Romulus Andreica , Angela Andreica

Coflow is a recently proposed network abstraction for data-parallel computing applications. This paper considers scheduling coflows with precedence constraints in identical parallel networks, such as to minimize the total weighted…

Data Structures and Algorithms · Computer Science 2022-07-15 Chi-Yeh Chen

In this paper, we consider the problem of minimizing the completion delay for instantly decodable network coding (IDNC), in wireless multicast and broadcast scenarios. We are interested in this class of network coding due to its numerous…

Networking and Internet Architecture · Computer Science 2012-01-24 Sameh Sorour , Shahrokh Valaee

Many modern schedulers can dynamically adjust their service capacity to match the incoming workload. At the same time, however, unpredictability and instability in service capacity often incur operational and infrastructure costs. In this…

Optimization and Control · Mathematics 2020-05-12 Yorie Nakahira , Andres Ferragut , Adam Wierman

We study the problem of minimizing total completion time on parallel machines subject to varying processing capacity. In this paper, we develop an approximation scheme for the problem under the data stream model where the input data is…

Data Structures and Algorithms · Computer Science 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

This work addresses the challenge of using a deep learning model to prune graphs and the ability of this method to integrate explainability into spatio-temporal problems through a new approach. Instead of applying explainability to the…

Machine Learning · Computer Science 2025-10-14 Javier García-Sigüenza , Mirco Nanni , Faraón Llorens-Largo , José F. Vicent

We consider the problem of governing systemic risk in an assets-liabilities dynamical model of banking system. In the model considered each bank is represented by its assets and its liabilities.The capital reserves of a bank are the…

Risk Management · Quantitative Finance 2019-05-30 Lorella Fatone , Francesca Mariani

Motivated by applications where impatience is pervasive and evaluation times are uncertain, we study a selection model where options may expire at an unknown point in time and evaluation times are stochastic. Initially, the decision-maker…

Optimization and Control · Mathematics 2026-02-05 Yihua Xu , Rohan Ghuge , Sebastian Perez-Salazar

We study a general class of bicriteria network design problems. A generic problem in this class is as follows: Given an undirected graph and two minimization objectives (under different cost functions), with a budget specified on the first,…

Computational Complexity · Computer Science 2019-08-17 Madhav V. Marathe , R. Ravi , Ravi Sundaram , S. S. Ravi , Daniel J. Rosenkrantz , Harry B. Hunt

This paper studies a dynamic optimal reinsurance and dividend-payout problem for an insurance company in a finite time horizon. The goal of the company is to maximize the expected cumulative discounted dividend payouts until bankruptcy or…

Mathematical Finance · Quantitative Finance 2022-06-28 Chonghu Guan , Zuo Quan Xu , Rui Zhou
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