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How to design tolls that induce socially optimal traffic loads with dynamically arriving travelers who make selfish routing decisions? We propose a two-timescale discrete-time stochastic dynamics that adaptively adjusts the toll prices on a…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

The Traveling Salesperson Problem (TSP) is one of the best-known combinatorial optimisation problems. However, many real-world problems are composed of several interacting components. The Traveling Thief Problem (TTP) addresses such…

Neural and Evolutionary Computing · Computer Science 2020-06-08 Jakob Bossek , Aneta Neumann , Frank Neumann

We revisit the well-known online traveling salesman problem (OLTSP) and its extension, the online dial-a-ride problem (OLDARP). A server starting at a designated origin in a metric space, is required to serve online requests, and return to…

Data Structures and Algorithms · Computer Science 2025-07-18 Ya-Chun Liang , Meng-Hsi Li , Chung-Shou Liao , Clifford Stein

Stochastic Optimization (SO) is a classical approach for optimization under uncertainty that typically requires knowledge about the probability distribution of uncertain parameters. As the latter is often unknown, Distributionally Robust…

The dynamic programming solution to the traveling salesman problem due to Bellman, and independently Held and Karp, runs in time $O(2^n n^2)$, with no improvement in the last sixty years. We break this barrier for the first time by…

Data Structures and Algorithms · Computer Science 2024-05-28 Mihail Stoian

We consider the stochastic $k$-TSP problem where rewards at vertices are random and the objective is to minimize the expected length of a tour that collects reward $k$. We present an adaptive $O(\log k)$-approximation algorithm, and a…

Data Structures and Algorithms · Computer Science 2016-10-05 Alina Ene , Viswanath Nagarajan , Rishi Saket

The nonlinear filtering problem is concerned with finding the conditional probability distribution (posterior) of the state of a stochastic dynamical system, given a history of partial and noisy observations. This paper presents a…

Optimization and Control · Mathematics 2024-03-26 Mohammad Al-Jarrah , Bamdad Hosseini , Amirhossein Taghvaei

With applications to many disciplines, the traveling salesman problem (TSP) is a classical computer science optimization problem with applications to industrial engineering, theoretical computer science, bioinformatics, and several other…

Artificial Intelligence · Computer Science 2017-05-26 Yihui He , Ming Xiang

Computing shortest paths is one of the most researched topics in algorithm engineering. Currently available algorithms compute shortest paths in mere fractions of a second on continental sized road networks. In the presence of…

Data Structures and Algorithms · Computer Science 2014-08-01 Moritz Kobitzsch , Samitha Samaranayake , Dennis Schieferdecker

This work develops a compute-efficient algorithm to tackle a fundamental problem in transportation: that of urban travel demand estimation. It focuses on the calibration of origin-destination travel demand input parameters for…

Multiagent Systems · Computer Science 2024-12-19 Suyash Vishnoi , Akhil Shetty , Iveel Tsogsuren , Neha Arora , Carolina Osorio

While conventional shared demand-responsive transportation (SDRT) systems mostly operate on a door-to-door policy, the usage of meeting points for the pick-up and drop-off of user groups can offer several advantages, like fewer stops and…

Privacy has traditionally been a major motivation for distributed problem solving. Distributed Constraint Satisfaction Problem (DisCSP) as well as Distributed Constraint Optimization Problem (DCOP) are fundamental models used to solve…

Ridepooling services require efficient optimization algorithms to simultaneously plan routes and pool users in shared rides. We consider a static dial-a-ride problem (DARP) where a series of origin-destination requests have to be assigned…

Optimization and Control · Mathematics 2024-07-29 Daniela Gaul , Kathrin Klamroth , Michael Stiglmayr

Many real-world problems can be formulated as a constrained Traveling Salesman Problem (TSP). However, the constraints are always complex and numerous, making the TSPs challenging to solve. When the number of complicated constraints grows,…

Artificial Intelligence · Computer Science 2024-03-11 Jingxiao Chen , Ziqin Gong , Minghuan Liu , Jun Wang , Yong Yu , Weinan Zhang

The field of Multi-Agent System (MAS) is an active area of research within Artificial Intelligence, with an increasingly important impact in industrial and other real-world applications. Within a MAS, autonomous agents interact to pursue…

Artificial Intelligence · Computer Science 2018-05-11 Ferdinando Fioretto , Enrico Pontelli , William Yeoh

The Ride-Pool Matching Problem (RMP) is central to on-demand ride-pooling services, where vehicles must be matched with multiple requests while adhering to service constraints such as pickup delays, detour limits, and vehicle capacity. Most…

Robotics · Computer Science 2025-03-12 Hao Jiang , Yixing Xu , Pradeep Varakantham

In this paper, we tackle the problem of risk-averse route planning in a transportation network with time-dependent and stochastic costs. To solve this problem, we propose an adaptation of the A* algorithm that accommodates any risk measure…

Artificial Intelligence · Computer Science 2017-01-04 Dajian Li , Paul Weng , Orkun Karabasoglu

The Travelling Salesman and its variations are some of the most well known NP hard optimisation problems. This paper looks to use both centralised and decentralised implementations of Evolutionary Algorithms (EA) to solve a dynamic variant…

Neural and Evolutionary Computing · Computer Science 2019-06-14 Thomas E. Kent , Arthur G. Richards

This paper considers the decentralized (discrete) optimal transport (D-OT) problem. In this setting, a network of agents seeks to design a transportation plan jointly, where the cost function is the sum of privately held costs for each…

Optimization and Control · Mathematics 2024-09-23 Ivan Lau , Shiqian Ma , César A. Uribe

Traditional navigation services find the fastest route for a single driver. Though always using the fastest route seems desirable for every individual, selfish behavior can have undesirable effects such as higher energy consumption and…

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