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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

We consider vehicle-routing problems (VRPs) that incorporate the notion of {\em regret} of a client, which is a measure of the waiting time of a client relative to its shortest-path distance from the depot. Formally, we consider both the…

Data Structures and Algorithms · Computer Science 2013-11-26 Zachary Friggstad , Chaitanya Swamy

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

Numerical Analysis · Computer Science 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso

We investigate the capacitated vehicle routing problem (CVRP) under a robotics context, where a vehicle with limited payload must complete delivery (or pickup) tasks to serve a set of geographically distributed customers with varying…

Robotics · Computer Science 2021-07-27 Kai Gao , Jingjin Yu

In reinforcement learning, robust policies for high-stakes decision-making problems with limited data are usually computed by optimizing the percentile criterion, which minimizes the probability of a catastrophic failure. Unfortunately,…

Machine Learning · Computer Science 2021-03-01 Elita A. Lobo , Mohammad Ghavamzadeh , Marek Petrik

A central problem in business concerns the optimal allocation of limited resources to a set of available tasks, where the payoff of these tasks is inherently uncertain. In credit card fraud detection, for instance, a bank can only assign a…

Machine Learning · Computer Science 2022-02-10 Toon Vanderschueren , Bart Baesens , Tim Verdonck , Wouter Verbeke

We consider a problem of placing generators of rewards to be collected by randomly moving agents in a network. In many settings, the precise mobility pattern may be one of several possible, based on parameters outside our control, such as…

Multiagent Systems · Computer Science 2024-06-04 Petros Petsinis , Kaichen Zhang , Andreas Pavlogiannis , Jingbo Zhou , Panagiotis Karras

"The Price of Robustness" by Bertsimas and Sim represented a breakthrough in the development of a tractable robust counterpart of Linear Programming Problems. However, the central modeling assumption that the deviation band of each…

Optimization and Control · Mathematics 2014-10-24 Christina Büsing , Fabio D'Andreagiovanni

We investigate the benefit of using contextual information in data-driven demand predictions to solve the robust capacitated vehicle routing problem with time windows. Instead of estimating the demand distribution or its mean, we introduce…

Optimization and Control · Mathematics 2023-10-27 Ali İrfan Mahmutoğulları , Tias Guns

A key challenge in solving a combinatorial optimization problem is how to guide the agent (i.e., solver) to efficiently explore the enormous search space. Conventional approaches often rely on enumeration (e.g., exhaustive, random, or tabu…

Artificial Intelligence · Computer Science 2020-08-11 Xingwen Zhang , Shuang Yang

A significant amount of recent research work has addressed the problem of solving various data management problems in the cloud. The major algorithmic challenges in map-reduce computations involve balancing a multitude of factors such as…

Databases · Computer Science 2012-04-10 Foto N. Afrati , Anish Das Sarma , Semih Salihoglu , Jeffrey D. Ullman

The global objective of this work is to provide practical optimization methods to companies involved in inventory routing problems, taking into account this new type of data. Also, companies are sometimes not able to deal with changing…

Artificial Intelligence · Computer Science 2011-03-01 Martin Josef Geiger , Marc Sevaux

Rapidly Exploring Random Tree (RRT) algorithms, notably used for nonholonomic vehicle navigation in complex environments, are often not thoroughly evaluated for their specific challenges. This paper presents a first such comparison study of…

Robotics · Computer Science 2025-01-14 Trym Tengesdal , Tom Arne Pedersen , Tor Arne Johansen

Vehicle routing problems (VRPs) form a class of combinatorial problems with wide practical applications. While previous heuristic or learning-based works achieve decent solutions on small problem instances of up to 100 cities, their…

Machine Learning · Computer Science 2021-10-29 Sirui Li , Zhongxia Yan , Cathy Wu

We introduce a transparent, encoding-agnostic framework for determining when the Capacitated Vehicle Routing Problem (CVRP) can achieve early quantum advantage. Our analysis shows this is unlikely on noisy intermediate scale quantum (NISQ)…

Quantum Physics · Physics 2026-05-20 Chinonso Onah , Kristel Michielsen

In this paper, a novel approach to define the optimal bidding of renewable-only virtual power plants (RVPPs) in the day-ahead, secondary reserve, and intra-day markets is proposed. To this aim, a robust optimization algorithm is developed…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Hadi Nemati , Pedro Sánchez-Martín , Álvaro Ortega , Lukas Sigrist , Enrique Lobato , Luis Rouco

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

Classification algorithms face difficulties when one or more classes have limited training data. We are particularly interested in classification trees, due to their interpretability and flexibility. When data are limited in one or more of…

Methodology · Statistics 2021-06-15 Yichen Zhu , Cheng Li , David B. Dunson

During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs) have been shown to work well in practice and to possess theoretical guarantees such as probabilistic…

Robotics · Computer Science 2010-05-05 Sertac Karaman , Emilio Frazzoli

This paper presents an approach to learn the local-search heuristics that iteratively improves the solution of Vehicle Routing Problem (VRP). A local-search heuristics is composed of a destroy operator that destructs a candidate solution,…

Neural and Evolutionary Computing · Computer Science 2020-02-21 Lei Gao , Mingxiang Chen , Qichang Chen , Ganzhong Luo , Nuoyi Zhu , Zhixin Liu
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