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In this work we focus on efficient heuristics for solving a class of stochastic planning problems that arise in a variety of business, investment, and industrial applications. The problem is best described in terms of future buy and sell…

Artificial Intelligence · Computer Science 2013-01-14 Milos Hauskrecht , Eli Upfal

In logistic applications that require the pickup and delivery of items, route optimization problems can be modeled as precedence constrained traveling salesperson problems. The combinatorial nature of this problem restricts the application…

Combinatorics · Mathematics 2024-08-23 Mithun Goutham , Stephanie Stockar

In this paper we investigate the problem of order batching for picker routing. Our approach is applicable to warehouses (storage areas) arranged in the standard rectangular grid layout, so with parallel aisles and two or more cross-aisles.…

Optimization and Control · Mathematics 2020-01-03 Cristiano Arbex Valle , John E Beasley

Supply chain network is critical to serving customers, so the most common practices are to determine the number, location, and capacity of facilities. But at the same time, uncertainties and risks must be taken into account in order to…

Physics and Society · Physics 2022-01-19 Khadija Ait Mamoun , Lamia Hammadi , Abdessamad El Ballouti , Eduardo Souza De Cursi

We consider several variants of a car-sharing problem. Given are a number of requests each consisting of a pick-up location and a drop-off location, a number of cars, and nonnegative, symmetric travel times that satisfy the triangle…

Data Structures and Algorithms · Computer Science 2020-07-08 Kelin Luo , Frits C. R. Spieksma

Scheduling and managing queues with bounded buffers are among the most fundamental problems in computer networking. Traditionally, it is often assumed that all the properties of each packet are known immediately upon arrival. However, as…

Networking and Internet Architecture · Computer Science 2020-01-01 Itamar Cohen , Gabriel Scalosub

We investigate two new optimization problems -- minimizing a submodular function subject to a submodular lower bound constraint (submodular cover) and maximizing a submodular function subject to a submodular upper bound constraint…

Data Structures and Algorithms · Computer Science 2013-11-12 Rishabh Iyer , Jeff Bilmes

Scheduling control problems for a family of unitary networks under heavy traffic with general interarrival and service times, probabilistic routing and an infinite horizon discounted linear holding cost are studied. Diffusion control…

Probability · Mathematics 2012-05-07 Amarjit Budhiraja , Arka P. Ghosh

Ride-sharing is an essential aspect of modern urban mobility. In this paper, we consider a classical problem in ride-sharing - the Multi-Vehicle Dial-a-Ride Problem (Multi-Vehicle DaRP). Given a fleet of vehicles with a fixed capacity…

Data Structures and Algorithms · Computer Science 2023-04-25 Kelin Luo , Alexandre M. Florio , Syamantak Das , Xiangyu Guo

Urban air mobility is a concept that promotes aerial modes of transport in urban areas. In these areas, the location and capacity of the vertiports--where the travelers embark and disembark the aircraft--not only affect the flight delays of…

Optimization and Control · Mathematics 2022-07-04 Yue Yu , Mengyuan Wang , Mehran Mesbahi , Ufuk Topcu

The domination problem and several of its variants (total domination, 2-domination and secure domination) are considered. These problems have various real-world applications, but are NP-hard to solve to provable optimality, making fast…

Optimization and Control · Mathematics 2023-09-18 Ryan Burdett , Michael Haythorpe , Alex Newcombe

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

We study extensions of the classic \emph{Line Cover} problem, which asks whether a set of $n$ points in the plane can be covered using $k$ lines. Line Cover is known to be NP-hard, and we focus on two natural generalizations. The first is…

Computational Geometry · Computer Science 2026-03-26 Matthias Bentert , Fedor v. Fomin , Petr A. Golovach , Souvik Saha , Sanjay Seetharaman , Kirill Simonov , Anannya Upasana

The parameterized complexity of problems is often studied with respect to the size of their optimal solutions. However, for a maximization problem, the size of the optimal solution can be very large, rendering algorithms parameterized by it…

Data Structures and Algorithms · Computer Science 2015-03-24 Meirav Zehavi

This article is devoted to propose some lower and upper bounds for the coupled-tasks scheduling problem in presence of compatibility constraints according to classical complexity hypothesis ($\mathcal{P} \neq \mathcal{NP}$,…

Computational Complexity · Computer Science 2017-06-08 Rodolphe Giroudeau , Jean-Claude König , Benoit Darties , Gilles Simonin

We consider a hierarchical edge-cloud architecture in which services are provided to mobile users as chains of virtual network functions. Each service has specific computation requirements and target delay performance, which require placing…

Networking and Internet Architecture · Computer Science 2022-02-21 Itamar Cohen , Carla Fabiana Chiasserini , Paolo Giaccone , Gabriel Scalosub

The subpath planning problem is a branch of the path planning problem, which has widespread applications in automated manufacturing process as well as vehicle and robot navigation. This problem is to find the shortest path or tour subject…

Robotics · Computer Science 2016-03-22 Masoud Safilian , S. Mehdi Tashakkori , Sepehr Eghbali , Aliakbar Safilian

We introduce in this paper a new variant of a location routing problem, to decide, the number and location of drop-off points to install based on the demands of a set of pick-up points, according to a given set-up budget for installing…

Optimization and Control · Mathematics 2025-05-09 Maria Albareda-Sambola , Víctor Blanco , Yolanda Hinojosa

Covering problems belong to the foundation of graph theory. There are several types of covering problems in graph theory such as covering the vertex set by stars (domination problem), covering the vertex set by cliques (clique covering…

Combinatorics · Mathematics 2018-07-30 Paul Manuel

We consider the classic correlation clustering problem in the hierarchical setting. Given a complete graph $G=(V,E)$ and $\ell$ layers of input information, where the input of each layer consists of a nonnegative weight and a labeling of…

Data Structures and Algorithms · Computer Science 2025-04-10 Hyung-Chan An , Mong-Jen Kao , Changyeol Lee , Mu-Ting Lee
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