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In this paper we deal with stochastic optimization problems where the data distributions change in response to the decision variables. Traditionally, the study of optimization problems with decision-dependent distributions has assumed…

Optimization and Control · Mathematics 2023-10-05 Zifan Wang , Changxin Liu , Thomas Parisini , Michael M. Zavlanos , Karl H. Johansson

In this paper, we propose a novel sampling-based planner for multi-goal path planning among obstacles, where the objective is to visit predefined target locations while minimizing the travel costs. The order of visiting the targets is often…

Robotics · Computer Science 2025-05-13 Jaroslav Janoš , Vojtěch Vonásek , Robert Pěnička

We study a robust selling problem where a seller attempts to sell one item to a buyer but is uncertain about the buyer's valuation distribution. Existing literature shows that robust screening provides a stronger theoretical guarantee than…

Theoretical Economics · Economics 2024-09-27 Shixin Wang

We present a unified probabilistic framework for simultaneous trajectory estimation and planning (STEAP). Estimation and planning problems are usually considered separately, however, within our framework we show that solving them…

Robotics · Computer Science 2018-07-30 Mustafa Mukadam , Jing Dong , Frank Dellaert , Byron Boots

Evolving diverse sets of high quality solutions has gained increasing interest in the evolutionary computation literature in recent years. With this paper, we contribute to this area of research by examining evolutionary diversity…

Neural and Evolutionary Computing · Computer Science 2021-10-04 Anh Viet Do , Jakob Bossek , Aneta Neumann , Frank Neumann

In a near future drones are likely to become a viable way of distributing parcels in a urban environment. In this paper we consider the parallel drone scheduling traveling salesman problem, where a set of customers requiring a delivery is…

Optimization and Control · Mathematics 2022-10-31 Mauro Dell'Amico , Roberto Montemanni , Stefano Novellani

The considered model will be formulated as related to "the fishing problem" even if the other applications of it are much more obvious. The angler goes fishing. He uses various techniques and he has at most two fishing rods. He buys a…

Probability · Mathematics 2011-12-13 Anna Karpowicz , Krzysztof Szajowski

In this paper we discuss the application of Artificial Intelligence (AI) to the exemplary industrial use case of the two-dimensional commissioning problem in a high-bay storage, which essentially can be phrased as an instance of Traveling…

Neural and Evolutionary Computing · Computer Science 2024-04-16 Stefan Wintersteller , Martin Uray , Michael Lehenauer , Stefan Huber

This paper studies bipedal locomotion as a nonlinear optimization problem based on continuous and discrete dynamics, by simultaneously optimizing the remaining step duration, the next step duration and the foot location to achieve…

Robotics · Computer Science 2018-05-08 Wenbin Hu , Iordanis Chatzinikolaidis , Kai Yuan , Zhibin Li

We consider an autonomous navigation problem, whereby a traveler aims at traversing an environment in which an adversary tries to set an ambush. A two players zero sum game is introduced. Players' strategies are computed as random path…

Robotics · Computer Science 2016-12-08 Emmanuel Boidot , Aude Marzuoli , Eric Feron

The 2-Opt heuristic is a simple improvement heuristic for the Traveling Salesman Problem. It starts with an arbitrary tour and then repeatedly replaces two edges of the tour by two other edges, as long as this yields a shorter tour. We will…

Data Structures and Algorithms · Computer Science 2021-01-26 Ulrich A. Brodowsky , Stefan Hougardy

The chance constrained travelling thief problem (chance constrained TTP) has been introduced as a stochastic variation of the classical travelling thief problem (TTP) in an attempt to embody the effect of uncertainty in the problem…

Neural and Evolutionary Computing · Computer Science 2025-05-02 Thilina Pathirage Don , Aneta Neumann , Frank Neumann

We consider pessimistic bilevel stochastic programs in which the follower maximizes over a fixed compact convex set a strictly convex quadratic function, whose Hessian depends on the leader's decision. The resulting random variable is…

Optimization and Control · Mathematics 2021-11-30 Johanna Burtscheidt , Matthias Claus , Sergio Conti , Martin Rumpf , Josua Sassen , Rüdiger Schultz

Motivated by applications to poaching and burglary prevention, we define a class of weighted Traveling Salesman Problems on metric spaces. The goal is to output an infinite (though typically periodic) tour that visits the n points…

Data Structures and Algorithms · Computer Science 2018-08-03 David Kempe , Mark Klein

Consider the Euclidean traveling salesman problem with $n$ random points on the plane. Suppose that one of the points is shifted to a new random location. This gives us a new optimal path. Consider such shifts for each of the $n$ points. Do…

Probability · Mathematics 2024-10-30 Sourav Chatterjee , Souvik Ray

Combinatorial optimization problems like the Traveling Salesman Problem are critical in industry yet NP-hard. Neural Combinatorial Optimization has shown promise, but its reliance on online reinforcement learning (RL) hampers deployment and…

Machine Learning · Computer Science 2026-03-27 Hironori Ohigashi , Shinichiro Hamada

We examine two-sided markets where players arrive stochastically over time and are drawn from a continuum of types. The cost of matching a client and provider varies, so a social planner is faced with two contending objectives: a) to reduce…

Computer Science and Game Theory · Computer Science 2020-01-06 Panayotis Mertikopoulos , Heinrich H. Nax , Bary S. R. Pradelski

Random walks can be used to search complex networks for a desired resource. To reduce search lengths, we propose a mechanism based on building random walks connecting together partial walks (PW) previously computed at each network node.…

Networking and Internet Architecture · Computer Science 2013-04-19 Víctor M. López Millán , Vicent Cholvi , Luis López , Antonio Fernández Anta

The Multiple Traveling Salesman Problem (MTSP) extends the traveling salesman problem by assigning multiple salesmen to visit a set of targets from a common depot, with each target visited exactly once while minimizing total tour length. A…

Optimization and Control · Mathematics 2026-04-28 Abhay Singh Bhadoriya , Deepjyoti Deka , Kaarthik Sundar

In order for an e-commerce platform to maximize its revenue, it must recommend customers items they are most likely to purchase. However, the company often has business constraints on these items, such as the number of each item in stock.…

Optimization and Control · Mathematics 2019-11-19 Andrea Boskovic , Qinyi Chen , Dominik Kufel , Zijie Zhou