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$\newcommand{\cala}{\mathcal{A}}$ In MAXSPACE, given a set of ads $\cala$, one wants to schedule a subset ${\cala'\subseteq\cala}$ into $K$ slots ${B_1, \dots, B_K}$ of size $L$. Each ad ${A_i \in \cala}$ has a size $s_i$ and a frequency…

Data Structures and Algorithms · Computer Science 2023-05-10 Mauro R. C. da Silva , Lehilton L. C. Pedrosa , Rafael C. S. Schouery

Motivated by a real-world vehicle routing application, we consider the maximum-weight independent set problem: Given a node-weighted graph, find a set of independent (mutually nonadjacent) nodes whose node-weight sum is maximum. Some of the…

Artificial Intelligence · Computer Science 2024-10-23 Yuanyuan Dong , Andrew V. Goldberg , Alexander Noe , Nikos Parotsidis , Mauricio G. C. Resende , Quico Spaen

Scheduling problems in manufacturing, logistics and project management have frequently been modeled using the framework of Resource Constrained Project Scheduling Problems with minimum and maximum time lags (RCPSP/max). Due to the…

Artificial Intelligence · Computer Science 2014-01-21 Na Fu , Hoong Chuin Lau , Pradeep R. Varakantham , Fei Xiao

This study presents a hybrid metaheuristic for the resource-constrained project scheduling problem (RCPSP), which integrates a genetic algorithm (GA) and a neighborhood search strategy (NS). The RCPSP consists of a set of activities that…

Optimization and Control · Mathematics 2025-09-15 Evgenii Goncharov

In this work, we study the task of scheduling jobs on a single machine with sequence dependent family setup times under the goal of minimizing the makespan, that is, the completion time of the last job in the schedule. This notoriously…

Data Structures and Algorithms · Computer Science 2025-03-25 Kaja Balzereit , Niels Grüttemeier , Nils Morawietz , Dennis Reinhardt , Stefan Windmann , Petra Wolf

In this study, we propose a reinforcement learning-based adaptive variable neighborhood search (RL-AVNS) method designed for effectively solving the Vehicle Routing Problem with Multiple Time Windows (VRPMTW). Unlike traditional adaptive…

Machine Learning · Computer Science 2025-05-30 Kuan Xu , Zhiguang Cao , Chenlong Zheng , Linong Liu

Sponsored search auctions are commonly modeled as an assignment of a fixed set of slots (positions) to a set of advertisers, with welfare maximization being reducible to a standard matching problem. Motivated by modern ad formats, we study…

Computer Science and Game Theory · Computer Science 2026-05-13 Eleni Batziou , Georgios Birmpas , Georgios Chionas , Piotr Krysta

The flexible job shop scheduling problem with sequencing flexibility and position-based learning effect is considered in the present work. In [K. A. G. Araujo, E. G. Birgin, and D. P. Ronconi, Technical Report MCDO02022024, 2024], models,…

Optimization and Control · Mathematics 2024-03-26 Kennedy A. G. Araújo , Ernesto G. Birgin , Débora P. Ronconi

The Ad Types Problem (without gap rules) is a special case of the assignment problem in which there are $k$ types of nodes on one side (the ads), and an ordered set of nodes on the other side (the slots). The edge weight of an ad $i$ of…

Computer Science and Game Theory · Computer Science 2019-07-11 Riccardo Colini-Baldeschi , Julián Mestre , Okke Schrijvers , Christopher A. Wilkens

We consider the "Offline Ad Slot Scheduling" problem, where advertisers must be scheduled to "sponsored search" slots during a given period of time. Advertisers specify a budget constraint, as well as a maximum cost per click, and may not…

Computer Science and Game Theory · Computer Science 2008-01-21 Jon Feldman , S. Muthukrishnan , Evdokia Nikolova , Martin Pal

The dynamic vehicle routing problem with time windows (DVRPTW) is a generalization of the classical VRPTW to an online setting, where customer data arrives in batches and real-time routing solutions are required. In this paper we adapt the…

Neural and Evolutionary Computing · Computer Science 2023-07-27 Mohammed Ghannam , Ambros Gleixner

In this paper, we analyze the approximation quality of a greedy heuristic for automatic map labeling. As input, we have a set of events, each associated with a label at a fixed position, a timestamp, and a weight. Let a time-window labeling…

Computational Geometry · Computer Science 2022-09-05 Annika Bonerath , Anne Driemel , Jan-Henrik Haunert , Herman Haverkort , Elmar Langetepe , Benjamin Niedermann

This study introduces a hybrid meta-heuristic for generating feasible course timetables in large-scale scenarios. We conducted tests using our university's instances. The current commercial software often struggles to meet constraints and…

Optimization and Control · Mathematics 2023-11-01 João Almeida , José Rui Figueira , Alexandre P. Francisco , Daniel Santos

Metaheuristics are known to be strong in solving large-scale instances of computationally hard problems. However, their efficiency still needs exploration in the context of instance structure, scale and numerical properties for many of…

Computational Engineering, Finance, and Science · Computer Science 2018-01-11 David Chalupa , Peter Nielsen

We consider the Continuous Energy-Constrained Scheduling Problem (CECSP). A set of jobs has to be processed on a continuous, shared resource. A schedule for a job consists of a start time, completion time, and a resource consumption…

Optimization and Control · Mathematics 2024-10-16 Roel Brouwer , Marjan van den Akker , Han Hoogeveen

We describe how to convert the heuristic search algorithm A* into an anytime algorithm that finds a sequence of improved solutions and eventually converges to an optimal solution. The approach we adopt uses weighted heuristic search to find…

Artificial Intelligence · Computer Science 2011-10-13 E. A. Hansen , R. Zhou

We propose greedy and local search algorithms for rank-constrained convex optimization, namely solving $\underset{\mathrm{rank}(A)\leq r^*}{\min}\, R(A)$ given a convex function $R:\mathbb{R}^{m\times n}\rightarrow \mathbb{R}$ and a…

Machine Learning · Computer Science 2021-01-18 Kyriakos Axiotis , Maxim Sviridenko

One of the challenges in optimization of high dimensional problems is finding appropriate solutions in a way that are as close as possible to the global optima. In this regard, one of the most common phenomena that occurs is the curse of…

Optimization and Control · Mathematics 2021-12-22 Somayeh Seifi Shalamzari , Mojtaba Banifakhr

Multi-mode resource-constrained project scheduling problems (MRCPSPs) are classified as NP-hard problems, in which a task has different execution modes characterized by different resource requirements. Estimation of distribution algorithm…

Other Computer Science · Computer Science 2014-02-25 Omar S. Soliman , Elshimaa A. R. Elgendi

In this paper, we present our heuristic solutions to the problems of finding the maximum and minimum area polygons with a given set of vertices. Our solutions are based mostly on two simple algorithmic paradigms: greedy method and local…

Computational Geometry · Computer Science 2022-12-09 Loïc Crombez , Guilherme D. da Fonseca , Yan Gerard
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