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In this paper Hybrid Ant Colony Optimization (HAntCO) approach in solving Multi--Skill Resource Constrained Project Scheduling Problem (MS--RCPSP) has been presented. We have proposed hybrid approach that links classical heuristic priority…

Neural and Evolutionary Computing · Computer Science 2016-04-01 Paweł B. Myszkowski , Marek E. Skowroński , Łukasz P. Olech , Krzysztof Oślizło

Hybrid quantum-classical algorithms can help mitigating the physical limitations of current quantum devices, particularly the low qubit count and the reduced topological connectivity. In this paper, we propose a hybrid technique to solve a…

Quantum Physics · Physics 2026-05-12 Siwei Hu , Victor Lopata , Salvatore Sinno , Shruthi Thuravakkath , Paolo Zuliani

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

Self Organizing Migrating Algorithm (SOMA) is a meta-heuristic algorithm based on the self-organizing behavior of individuals in a simulated social environment. SOMA performs iterative computations on a population of potential solutions in…

Neural and Evolutionary Computing · Computer Science 2017-09-13 Shubham Dokania , Sunyam Bagga , Rohit Sharma

The nature has inspired several metaheuristics, outstanding among these is Ant Colony Optimization (ACO), which have proved to be very effective and efficient in problems of high complexity (NP-hard) in combinatorial optimization. This…

Artificial Intelligence · Computer Science 2013-09-23 Edson Flórez , Wilfredo Gómez , Lola Bautista

We present a physics inspired heuristic method for solving combinatorial optimization problems. Our approach is specifically motivated by the desire to avoid trapping in metastable local minima- a common occurrence in hard problems with…

Statistical Mechanics · Physics 2016-03-15 Bo Sun , Blake Leonard , Peter Ronhovde , Zohar Nussinov

The Traveling Salesman Problem (TSP) is a prototypical combinatorial optimization problem, but its quantum implementation is limited by the O(n^2)-qubit overhead of standard one-hot encodings. Here, we propose a resource-efficient…

Quantum Physics · Physics 2026-05-04 Yuefeng Lin , Chao Zheng , Cong Guo

This paper presents a novel and efficient heuristic framework for approximating the solutions to the multiple traveling salesmen problem (m-TSP) and other variants on the TSP. The approach adopted in this paper is an extension of the…

Optimization and Control · Mathematics 2016-04-15 Mayank Baranwal , Brian Roehl , Srinivasa M. Salapaka

In an era where sustainability is becoming increasingly crucial, we introduce a new Carbon-Aware Ant Colony System (CAACS) Algorithm that addresses the Generalized Traveling Salesman Problem (GTSP) while minimizing carbon emissions. This…

Optimization and Control · Mathematics 2026-03-09 Marina Lin , Laura P. Schaposnik

Investigation of detailed and complex optimisation problem formulations that reflect realistic scenarios is a burgeoning field of research. A growing body of work exists for the Travelling Thief Problem, including multi-objective…

Neural and Evolutionary Computing · Computer Science 2020-02-10 Daniel Herring , Michael Kirley , Xin Yao

In recent years, there has been much interest in phase transitions of combinatorial problems. Phase transitions have been successfully used to analyze combinatorial optimization problems, characterize their typical-case features and locate…

Artificial Intelligence · Computer Science 2011-07-04 W. Zhang

This study introduces an innovative methodology for the planning of metro network routes within the urban environment of Chennai, Tamil Nadu, India. A comparative analysis of the modified Ant Colony Optimization (ACO) method (previously…

Neural and Evolutionary Computing · Computer Science 2024-07-08 Hariram Sampath Kumar , Archana Singh , Manish Kumar Ojha

We study the application of emerging photonic and quantum computing architectures to solving the Traveling Salesman Problem (TSP), a well-known NP-hard optimization problem. We investigate several approaches: Simulated Annealing (SA),…

Quantum Physics · Physics 2025-04-03 Venkat Padmasola , Zhaotong Li , Rupak Chatterjee , Wesley Dyk

The multiple traveling salesman problem (mTSP) is a well-known NP-hard problem with numerous real-world applications. In particular, this work addresses MinMax mTSP, where the objective is to minimize the max tour length among all agents.…

Robotics · Computer Science 2022-07-08 Yuhong Cao , Zhanhong Sun , Guillaume Sartoretti

The evolution of the human society raises more and more difficult endeavors. For some of the real-life problems, the computing time-restriction enhances their complexity. The Matrix Bandwidth Minimization Problem (MBMP) seeks for a…

Artificial Intelligence · Computer Science 2012-09-18 Camelia-M. Pintea , Camelia Chira , Gloria-C. Crisan

In this paper, we present a new linear programming (LP) formulation of the Traveling Salesman Problem (TSP). The proposed model has O(n^8) variables and O(n^7) constraints, where n is the number of cities. Our numerical experimentation…

Discrete Mathematics · Computer Science 2016-10-21 Moustapha Diaby

We study a travelling salesman problem where the path is optimized with a cost function that includes its length $L$ as well as a certain measure $C$ of its distance from the geometrical center of the graph. Using simulated annealing (SA)…

Statistical Mechanics · Physics 2009-11-10 Adam Lipowski , Dorota Lipowska

The generalized traveling salesman problem (GTSP) is an extension of the well-known traveling salesman problem. In GTSP, we are given a partition of cities into groups and we are required to find a minimum length tour that includes exactly…

Data Structures and Algorithms · Computer Science 2010-03-30 Gregory Gutin , Daniel Karapetyan

The Traveling Thief Problem (TTP) is a multi-component optimization problem that captures the interplay between routing and packing decisions by combining the classical Traveling Salesperson Problem (TSP) and the Knapsack Problem (KP). The…

Data Structures and Algorithms · Computer Science 2026-04-22 Jan Eube , Kelin Luo , Aneta Neumann , Frank Neumann , Heiko Röglin

We present novel path-slicing strategies integrated with quantum local search to optimize solutions for the Traveling Salesman Problem (TSP), addressing the limitations of current Noisy Intermediate-Scale Quantum (NISQ) technologies. Our…

Quantum Physics · Physics 2024-07-19 Chen-Yu Liu , Hiromichi Matsuyama , Wei-hao Huang , Yu Yamashiro
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