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We consider the vehicle routing problem with stochastic demands (VRPSD) on tree structured networks with a single depot. The problem we are concerned with in this paper is to find a set of tours for the vehicle with minimum expected length.…

Data Structures and Algorithms · Computer Science 2013-04-23 Shalabh Vidyarthi , Kaushal K Shukla

This paper introduces a new routing problem referred to as the vehicle routing problem with vector profits. Given a network composed of nodes (depot/sites) and arcs connecting the nodes, the problem determines routes that depart from the…

Optimization and Control · Mathematics 2017-10-31 Dongoo Lee , Jaemyung Ahn

The Bus Driver Scheduling Problem (BDSP) is a combinatorial optimization problem with the goal to design shifts to cover prearranged bus tours. The objective takes into account the operational cost as well as the satisfaction of drivers.…

Optimization and Control · Mathematics 2026-04-23 Lucas Kletzander , Tommaso Mannelli Mazzoli , Nysret Musliu , Pascal Van Hentenryck

We study the problem of quickly computing point-to-point shortest paths in massive road networks with traffic predictions. Incorporating traffic predictions into routing allows, for example, to avoid commuter traffic congestions. Existing…

Data Structures and Algorithms · Computer Science 2021-03-29 Ben Strasser , Dorothea Wagner , Tim Zeitz

The Periodic Event Scheduling Problem (PESP) is a fundamental model in periodic timetabling for public transport systems, assuming a common period across all events. However, real-world networks often feature heterogeneous service…

Optimization and Control · Mathematics 2025-07-24 Rolf Nelson van Lieshout , Niels Lindner

The Traveling Salesman Problem (TSP) is among the most famous NP-hard optimization problems. We design for this problem a randomized polynomial-time algorithm that computes a (1+eps)-approximation to the optimal tour, for any fixed eps>0,…

Computational Complexity · Computer Science 2016-09-09 Yair Bartal , Lee-Ad Gottlieb , Robert Krauthgamer

The Traveling Salesman Problem (TSP) is one of the classic and hard problems in combinatorial optimization. We develop a new heuristic that uses a connection between Minimum Cost Flow Problems and the TSP to improve on a given suboptimal…

Optimization and Control · Mathematics 2026-03-30 Steffen Borgwardt , Zachary Sorenson

The Metric Traveling Salesman Problem (TSP) is a classical NP-hard optimization problem. The double-tree shortcutting method for Metric TSP yields an exponentially-sized space of TSP tours, each of which approximates the optimal solution…

Data Structures and Algorithms · Computer Science 2009-07-16 Vladimir Deineko , Alexander Tiskin

Multi-Agent Path Finding (MAPF) requires computing collision-free paths for multiple agents in shared environment. Most MAPF planners assume that each agent reaches a specific location at a specific timestep, but this is infeasible to…

Multiagent Systems · Computer Science 2025-08-08 Yifan Su , Rishi Veerapaneni , Jiaoyang Li

Understanding the interactions between different combinatorial optimisation problems in real-world applications is a challenging task. Recently, the traveling thief problem (TTP), as a combination of the classical traveling salesperson…

Data Structures and Algorithms · Computer Science 2017-02-20 Frank Neumann , Sergey Polyakovskiy , Martin Skutella , Leen Stougie , Junhua Wu

In this letter, we consider the Multi-Robot Efficient Search Path Planning (MESPP) problem, where a team of robots is deployed in a graph-represented environment to capture a moving target within a given deadline. We prove this problem to…

Robotics · Computer Science 2021-01-14 Beatriz A. Asfora , Jacopo Banfi , Mark Campbell

We consider a Persistent Intelligence, Surveillance and Reconnaissance (PISR) routing problem, which includes collecting data from a set of specified task locations and delivering that data to a control station. Each task is assigned a…

Optimization and Control · Mathematics 2017-03-01 Satyanarayana G. Manyam , Steven Rasmussen , David W. Casbeer , Krishnamoorthy Kalyanam , Suresh Manickam

We study the problem of optimal multi-robot path planning on graphs MPP over four distinct minimization objectives: the makespan (last arrival time), the maximum (single-robot traveled) distance, the total arrival time, and the total…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Steven M. LaValle

The well-known Vehicle Routing Problem with Time Windows (VRPTW) aims to reduce the cost of moving goods between several destinations while accommodating constraints like set time windows for certain locations and vehicle capacity.…

Neural and Evolutionary Computing · Computer Science 2023-06-06 Gautam Siddharth Kashyap , Alexander E. I. Brownlee , Orchid Chetia Phukan , Karan Malik , Samar Wazir

This paper considers multiprocessor task scheduling in a multistage hybrid flow-shop environment. The problem even in its simplest form is NP-hard in the strong sense. The great deal of interest for this problem, besides its theoretical…

Robotics · Computer Science 2011-03-09 Asma Lahimer , Pierre Lopez , Mohamed Haouari

This paper presents an efficient algorithm, naming Centralized Searching and Decentralized Optimization (CSDO), to find feasible solution for large-scale Multi-Vehicle Trajectory Planning (MVTP) problem. Due to the intractable growth of…

Robotics · Computer Science 2024-10-24 Yibin Yang , Shaobing Xu , Xintao Yan , Junkai Jiang , Jianqiang Wang , Heye Huang

In this paper, we study the problem of map matching with travel time constraints. Given a sequence of $k$ spatio-temporal measurements and an embedded path graph with travel time costs, the goal is to snap each measurement to a close-by…

Computational Geometry · Computer Science 2025-06-24 Yannick Bosch , Sabine Storandt

The Mixed-Shelves Picker Routing Problem (MSPRP) is a fundamental challenge in warehouse logistics, where pickers must navigate a mixed-shelves environment to retrieve SKUs efficiently. Traditional heuristics and optimization-based…

Multiagent Systems · Computer Science 2025-02-17 Laurin Luttmann , Lin Xie

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

Recently, Bumpus and Meeks introduced a purely temporal parameter, called vertex-interval-membership-width, which is promising for the design of fixed-parameter tractable (FPT) algorithms for vertex reachability problems in temporal graphs.…

Computational Complexity · Computer Science 2025-07-09 Justine Cauvi , Laurent Viennot
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