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The paper attempts to find numerical solutions of Diophantine equations, a challenging problem as there are no general methods to find solutions of such equations. It uses the metaphor of foraging habits of real ants. The ant colony…

Neural and Evolutionary Computing · Computer Science 2013-06-06 Siby Abraham , Sugata Sanyal , Mukund Sanglikar

An ant colony optimization approach for partitioning a set of objects is proposed. In order to minimize the intra-variance, or within sum-of-squares, of the partitioned classes, we construct ant-like solutions by a constructive approach…

Machine Learning · Statistics 2019-12-04 Jeffry Chavarria-Molina , Juan Jose Fallas-Monge , Javier Trejos-Zelaya

We propose a new hybrid quantum algorithm based on the classical Ant Colony Optimization algorithm to produce approximate solutions for NP-hard problems, in particular optimization problems. First, we discuss some previously proposed…

Quantum Physics · Physics 2022-06-30 Mikel Garcia de Andoin , Javier Echanobe

We present a dynamic algorithm for solving the Longest Common Subsequence Problem using Ant Colony Optimization Technique. The Ant Colony Optimization Technique has been applied to solve many problems in Optimization Theory, Machine…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri

Ant Colony Optimization algorithm is a magnificent heuristics technique based on the behavior of ants. Parallel computing is a means to achieve the desired results in commensurable execution time. Parallelization of Ant Colony Optimization…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-23 Sandeep U Mane , Pooja S. Lokare , Harsha R. Gaikwad

Ant colony optimization (ACO) is a commonly used meta-heuristic to solve complex combinatorial optimization problems like traveling salesman problem (TSP), vehicle routing problem (VRP), etc. However, classical ACO algorithms provide better…

Emerging Technologies · Computer Science 2021-11-05 Mrityunjay Ghosh , Nivedita Dey , Debdeep Mitra , Amlan Chakrabarti

To find all extreme points of multimodal functions is called extremum problem, which is a well known difficult issue in optimization fields. Applying ant colony optimization (ACO) to solve this problem is rarely reported. The method of…

Artificial Intelligence · Computer Science 2009-11-18 Chao-Yang Pang , Hui Liu , Xia Li , Yun-Fei Wang , Ben-Qiong Hu

Nowadays swarm intelligence-based algorithms are being used widely to optimize the dynamic traveling salesman problem (DTSP). In this paper, we have used mixed method of Ant Colony Optimization (AOC)and gradient descent to optimize DTSP…

Neural and Evolutionary Computing · Computer Science 2013-07-30 Farhad Soleimanian Gharehchopogh , Isa Maleki , Seyyed Reza Khaze

In this paper we focus on finding high quality solutions for the problem of maximum partitioning of graphs with supply and demand (MPGSD). There is a growing interest for the MPGSD due to its close connection to problems appearing in the…

Artificial Intelligence · Computer Science 2016-02-01 Raka Jovanovic , Milan Tuba , Stefan Voss

Ant Colony Optimization (ACO) is a well-known method inspired by the foraging behavior of ants and is extensively used to solve combinatorial optimization problems. In this paper, we first consider a general framework based on the concept…

Data Structures and Algorithms · Computer Science 2025-01-22 Bodo Manthey , Jesse van Rhijn , Ashkan Safari , Tjark Vredeveld

Solving Sudoku puzzles is one of the most popular pastimes in the world. Puzzles range in difficulty from easy to very challenging; the hardest puzzles tend to have the most empty cells. The current paper explains and compares three…

Optimization and Control · Mathematics 2013-05-17 Eric C. Chi , Kenneth Lange

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

Ant-based algorithms are successful tools for solving complex problems. One of these problems is the Linear Ordering Problem (LOP). The paper shows new results on some LOP instances, using Ant Colony System (ACS) and the Step-Back Sensitive…

Artificial Intelligence · Computer Science 2012-08-28 Camelia-M. Pintea , Camelia Chira , D. Dumitrescu

This paper introduces an enhanced meta-heuristic (ML-ACO) that combines machine learning (ML) and ant colony optimization (ACO) to solve combinatorial optimization problems. To illustrate the underlying mechanism of our ML-ACO algorithm, we…

Neural and Evolutionary Computing · Computer Science 2021-11-09 Yuan Sun , Sheng Wang , Yunzhuang Shen , Xiaodong Li , Andreas T. Ernst , Michael Kirley

The Thief Orienteering Problem (ThOP) is a multi-component problem that combines features of two classic combinatorial optimization problems: Orienteering Problem and Knapsack Problem. The ThOP is challenging due to the given time…

Artificial Intelligence · Computer Science 2020-09-01 Jonatas B. C. Chagas , Markus Wagner

It is not rare that the performance of one metaheuristic algorithm can be improved by incorporating ideas taken from another. In this article we present how Simulated Annealing (SA) can be used to improve the efficiency of the Ant Colony…

Artificial Intelligence · Computer Science 2017-05-03 Rafał Skinderowicz

This paper introduces a new optimisation algorithm, called Adaptive Bacterial Colony Optimisation (ABCO), modelled after the foraging behaviour of E. coli bacteria. The algorithm follows three stages--explore, exploit and reproduce--and is…

Neural and Evolutionary Computing · Computer Science 2025-05-05 Barisi Kogam , Yevgeniya Kovalchuk , Mohamed Medhat Gaber

Solving large traveling salesman problem (TSP) in an efficient way is a challenging area for the researchers of computer science. This paper presents a modified version of the ant colony system (ACS) algorithm called Red-Black Ant Colony…

Artificial Intelligence · Computer Science 2013-04-16 Md. Rakib Hassan , Md. Kamrul Hasan , M. M. A. Hashem

Ant colony optimization (ACO) has been applied to the field of combinatorial optimization widely. But the study of convergence theory of ACO is rare under general condition. In this paper, the authors try to find the evidence to prove that…

Neural and Evolutionary Computing · Computer Science 2009-10-25 Chao-Yang Pang , Chong-Bao Wang , Ben-Qiong Hu

This paper is concerned with the popular Sudoku problem. We proposed a warm restart strategy for solving Sudoku puzzles, based on the sparse optimization technique. Furthermore, we defined a new difficulty level for Sudoku puzzles. The…

Optimization and Control · Mathematics 2018-03-16 Yuchao Tang , Zhenggang Wu , Chuanxi Zhu
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