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This paper introduces a variant of the Set Orienteering Problem (SOP), the multi-Depot multiple Set Orienteering Problem (mDmSOP). It generalizes the SOP by grouping nodes into mutually exclusive sets (clusters) with associated profits.…

Optimization and Control · Mathematics 2024-08-20 Ravi Kant , Salmaan Shahid , Anuvind Bhat , Abhishek Mishra

We consider several Vehicle Routing Problems (VRP) with profits, which seek to select a subset of customers, each one being associated with a profit, and to design service itineraries. When the sum of profits is maximized under distance…

Data Structures and Algorithms · Computer Science 2014-07-29 Thibaut Vidal , Nelson Maculan , Puca Huachi Vaz Penna , Luis Satoru Ochi

This paper introduces an extension to the Orienteering Problem (OP), called Clustered Orienteering Problem with Subgroups (COPS). In this variant, nodes are arranged into subgroups, and the subgroups are organized into clusters. A reward is…

Artificial Intelligence · Computer Science 2023-12-29 Luciano E. Almeida , Douglas G. Macharet

Traveling Salesman Problem (TSP) is one of the most common studied problems in combinatorial optimization. Given the list of cities and distances between them, the problem is to find the shortest tour possible which visits all the cities in…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-27 Harun Rasit Er , Nadia Erdogan

Orienteering problems (OPs) are a variant of the well-known prize-collecting traveling salesman problem, where the salesman needs to choose a subset of cities to visit within a given deadline. OPs and their extensions with stochastic travel…

Artificial Intelligence · Computer Science 2012-10-19 Hoong Chuin Lau , William Yeoh , Pradeep Varakantham , Duc Thien Nguyen , Huaxing Chen

This paper proposes a hybrid genetic algorithm for solving the Multiple Traveling Salesman Problem (mTSP) to minimize the length of the longest tour. The genetic algorithm utilizes a TSP sequence as the representation of each individual,…

Neural and Evolutionary Computing · Computer Science 2023-10-31 Sasan Mahmoudinazlou , Changhyun Kwon

Dynamic Multi-objective Optimization Problems (DMOPs) refer to optimization problems that objective functions will change with time. Solving DMOPs implies that the Pareto Optimal Set (POS) at different moments can be accurately found, and…

Artificial Intelligence · Computer Science 2019-10-22 Min Jiang , Weizhen Hu , Liming Qiu , Minghui Shi , Kay Chen Tan

The generalized multiple depot traveling salesmen problem (GMDTSP) is a variant of the multiple depot traveling salesmen problem (MDTSP), where each salesman starts at a distinct depot, the targets are partitioned into clusters and at least…

Data Structures and Algorithms · Computer Science 2015-08-11 Kaarthik Sundar , Sivakumar Rathinam

When vehicle routing decisions are intertwined with higher-level decisions, the resulting optimization problems pose significant challenges for computation. Examples are the multi-depot vehicle routing problem (MDVRP), where customers are…

Neural and Evolutionary Computing · Computer Science 2024-09-10 Abhay Sobhanan , Junyoung Park , Jinkyoo Park , Changhyun Kwon

This paper deals with generating of an optimized route for multiple Vehicle routing Problems (mVRP). We used a methodology of clustering the given cities depending upon the number of vehicles and each cluster is allotted to a vehicle. k-…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-01-26 R. Nallusamy , K. Duraiswamy , R. Dhanalaksmi , P. Parthiban

Given a graph with a source vertex $s$, the Single Source Replacement Paths (SSRP) problem is to compute, for every vertex $t$ and edge $e$, the length $d(s,t,e)$ of a shortest path from $s$ to $t$ that avoids $e$. A Single-Source Distance…

Data Structures and Algorithms · Computer Science 2021-07-01 Davide Bilò , Sarel Cohen , Tobias Friedrich , Martin Schirneck

A sport tournament problem is considered the Traveling Tournament Problem (TTP). One interesting type is the mirrored Traveling Tournament Problem (mTTP). The objective of the problem is to minimize either the total number of traveling or…

Neural and Evolutionary Computing · Computer Science 2017-04-18 Tinnaluk Rutjanisarakul , Thiradet Jiarasuksakun

Multi-objective orienteering problems (MO-OPs) are classical multi-objective routing problems and have received a lot of attention in the past decades. This study seeks to solve MO-OPs through a problem-decomposition framework, that is, a…

Neural and Evolutionary Computing · Computer Science 2022-06-22 Wei Liu , Rui Wang , Tao Zhang , Kaiwen Li , Wenhua Li , Hisao Ishibuchi

Given a graph, the minimum dominating set (MinDS) problem is to identify a smallest set $D$ of vertices such that every vertex not in $D$ is adjacent to at least one vertex in $D$. The MinDS problem is a classic $\mathcal{NP}$-hard problem…

Social and Information Networks · Computer Science 2023-08-01 Enqiang Zhu , Yu Zhang , Shengzhi Wang , Darren Strash , Chanjuan Liu

In Internet Routing, the static shortest path (SP) problem has been addressed using well known intelligent optimization techniques like artificial neural networks, genetic algorithms (GAs) and particle swarm optimization. Advancement in…

Neural and Evolutionary Computing · Computer Science 2011-07-12 T. R. Gopalakrishnan Nair , Kavitha Sooda , M. B. Yashoda

In this paper, we study the Orienteering Aisle-graphs Single-access Problem (OASP), a variant of the orienteering problem for a robot moving in a so-called single-access aisle-graph, i.e., a graph consisting of a set of rows that can be…

Multiple-TSP, also abbreviated in the literature as mTSP, is an extension of the Traveling Salesman Problem that lies at the core of many variants of the Vehicle Routing problem of great practical importance. The current paper develops and…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Vlad-Ioan Lupoaie , Ivona-Alexandra Chili , Mihaela Elena Breaban , Madalina Raschip

The inventory routing problem (IRP) focuses on jointly optimizing inventory and distribution operations from a supplier to retailers over multiple days. Compared to other problems from the vehicle routing family, the interrelations between…

Neural and Evolutionary Computing · Computer Science 2025-11-25 Jingyi Zhao , Claudia Archetti , Tuan Anh Pham , Thibaut Vidal

Different applications, such as environmental monitoring and military operations, demand the observation of predefined target locations, and an autonomous mobile robot can assist in these tasks. In this context, the Orienteering Problem…

Robotics · Computer Science 2020-10-23 Douglas G. Macharet , Armando Alves Neto , Daigo Shishika

Mobile robotic platforms are an indispensable tool for various scientific and industrial applications. Robots are used to undertake missions whose execution is constrained by various factors, such as the allocated time or their remaining…

Robotics · Computer Science 2018-01-12 Nikolaos Tsiogkas , David M. Lane
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