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Online Resource Allocation problem is a central problem in many areas of Computer Science, Operations Research, and Economics. In this problem, we sequentially receive $n$ stochastic requests for $m$ kinds of shared resources, where each…

Data Structures and Algorithms · Computer Science 2025-05-07 Rohan Ghuge , Sahil Singla , Yifan Wang

In this paper, we study the Maximum-Profit Routing Problem with Variable Supply (MPRP-VS). This is a more general version of the Maximum-Profit Public Transportation Route Planning Problem, or simply Maximum-Profit Routing Problem (MPRP),…

Data Structures and Algorithms · Computer Science 2020-07-21 Bogdan Armaselu

In the random-order online set cover problem, the instance with $m$ sets and $n$ elements is chosen in a worst-case fashion, but then the elements arrive in a uniformly random order. Can this random-order model allow us to circumvent the…

Data Structures and Algorithms · Computer Science 2025-11-11 Anupam Gupta , Marco Molinaro , Matteo Russo

We consider a natural scheduling problem which arises in many distributed computing frameworks. Jobs with diverse resource requirements (e.g. memory requirements) arrive over time and must be served by a cluster of servers, each with a…

Networking and Internet Architecture · Computer Science 2019-01-21 Konstantinos Psychas , Javad Ghaderi

We study the Feedback Vertex Set and the Vertex Cover problem in a natural variant of the classical online model that allows for delayed decisions and reservations. Both problems can be characterized by an obstruction set of subgraphs that…

Data Structures and Algorithms · Computer Science 2023-07-17 Elisabet Burjons , Fabian Frei , Matthias Gehnen , Henri Lotze , Daniel Mock , Peter Rossmanith

Machine scheduling problems involving conflict jobs can be seen as a constrained version of the classical scheduling problem, in which some jobs are conflict in the sense that they cannot be proceeded simultaneously on different machines.…

Data Structures and Algorithms · Computer Science 2021-02-12 Minh Hoàng Hà , Dinh Quy Ta , Trung Thanh Nguyen

When a computer system schedules jobs there is typically a significant cost associated with preempting a job during execution. This cost can be from the expensive task of saving the memory's state and loading data into and out of memory. It…

Data Structures and Algorithms · Computer Science 2018-03-01 Giorgio Lucarelli , Benjamin Moseley , Nguyen Kim Thang , Abhinav Srivastav , Denis Trystram

We study a pickup-and-delivery problem that arises when customers randomly submit requests over the course of a day from a choice of vendors on a collaborative e-commerce portal. Based on the attributes of a customer request, a dispatcher…

Optimization and Control · Mathematics 2024-08-15 Sara Stoia , Demetrio Laganà , Jeffrey W. Ohlmann

The Container Relocation Problem (CRP) is concerned with finding a sequence of moves of containers that minimizes the number of relocations needed to retrieve all containers respecting a given order of retrieval. While the problem is known…

Data Structures and Algorithms · Computer Science 2015-10-08 Setareh Borjian , Virgile Galle , Vahideh H. Manshadi , Cynthia Barnhart , Patrick Jaillet

In classical scheduling problems, we are given jobs and machines, and have to schedule all the jobs to minimize some objective function. What if each job has a specified profit, and we are no longer required to process all jobs -- we can…

Data Structures and Algorithms · Computer Science 2015-05-13 Anupam Gupta , Ravishankar Krishnaswamy , Amit Kumar , Danny Segev

In this paper, we study an optimal online resource reservation problem in a simple communication network. The network is composed of two compute nodes linked by a local communication link. The system operates in discrete time; at each time…

Optimization and Control · Mathematics 2024-04-04 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Shima Kheradmand

This paper addresses an Electric Vehicle Relocation Problem (E-VReP), in one-way carsharing systems, based on operators who move through folding bicycles between a delivery request and one of pickup. In order to deal with its economical…

Optimization and Control · Mathematics 2015-04-10 Maurizio Bruglieri , Ferdinando Pezzella , Ornella Pisacane

Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

Machine Learning · Computer Science 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

We introduce and study the online pause and resume problem. In this problem, a player attempts to find the $k$ lowest (alternatively, highest) prices in a sequence of fixed length $T$, which is revealed sequentially. At each time step, the…

Data Structures and Algorithms · Computer Science 2024-01-17 Adam Lechowicz , Nicolas Christianson , Jinhang Zuo , Noman Bashir , Mohammad Hajiesmaili , Adam Wierman , Prashant Shenoy

We tackle in this paper an online network resource allocation problem with job transfers. The network is composed of many servers connected by communication links. The system operates in discrete time; at each time slot, the administrator…

Machine Learning · Statistics 2023-11-17 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Amirhossein Asgharnia

Motivated by cloud computing applications, we study the problem of how to optimally deploy new hardware subject to both power and robustness constraints. To model the situation observed in large-scale data centers, we introduce the Online…

Data Structures and Algorithms · Computer Science 2022-09-05 Konstantina Mellou , Marco Molinaro , Rudy Zhou

The Resource-Constrained Project Scheduling Problem (RCPSP) is a classical scheduling problem that has received significant attention due to of its numerous applications in industry. However, in practice, task durations are subject to…

Artificial Intelligence · Computer Science 2025-11-18 Guillaume Infantes , Stéphanie Roussel , Antoine Jacquet , Emmanuel Benazera

We study the classic online bipartite matching problem with a twist: offline vertices, called resources, are $\textit{reusable}$. In particular, when a resource is matched to an online vertex it is unavailable for a deterministic time…

Data Structures and Algorithms · Computer Science 2022-10-25 Steven Delong , Alireza Farhadi , Rad Niazadeh , Balasubramanian Sivan , Rajan Udwani

In this paper we prove the efficacy of a simple greedy algorithm for a finite horizon online resource allocation/matching problem, when the corresponding static planning linear program (SPP) exhibits a non-degeneracy condition called the…

Data Structures and Algorithms · Computer Science 2022-07-26 Varun Gupta

In this paper, we construct and compare algorithmic approaches to solve the Preference Consistency Problem for preference statements based on hierarchical models. Instances of this problem contain a set of preference statements that are…

Logic in Computer Science · Computer Science 2024-11-01 Anne-Marie George , Nic Wilson , Barry O'Sullivan
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