N queens problem
The N Queen is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other. … The expected output is a binary matrix which has 1s for the blocks where queens are placed. For example, following is the output matrix for above 4 queen solution.
It has long been known that there are 92 solutions to the problem. Of these 92, there are 12 distinct patterns. All of the 92 solutions can be transformed into one of these 12 unique patterns using rotations and reflections.
A quantum-inspired differential evolution algorithm for solving the N – queens problem
free download
In this paper, a quantum-inspired differential evolution algorithm for solving the N – queens problem is presented. The N – queens problem aims at placing N queens on an NxN chessboard, in such a way that no queen could capture any of the others. The proposed
Solving the n – queens problem with a binary Hopfield-type network. Synchronous and asynchronous model
free download
The application of a discrete Hopfield-type neural network to solving the NP-Hard optimization problem -the N – Queens Problem (NQP) is presented. The applied network is binary, and at every moment each neuron potential is equal to either 0 or 1. The network can
Solving the n – queens problem using a tuned hybrid imperialist competitive algorithm.
free download
The n – queens problem is a classical combinatorial optimization problem which has been proved to be NP-hard. The goal is to place n non-attacking queens on an n n chessboard. In this paper, the Imperialist Competitive Algorithm (ICA), which is a recent evolutionary
Comparative Study of Different Algorithms To Solve N – Queens Problem
free download
This Paper provides a brief description of the Genetic Algorithm (GA), the Simulated Annealing (SA) Algorithm, the Backtracking (BT) Algorithm and the Brute Force (BF) Search Algorithm and attempts to explain the way as how the Proposed Genetic Algorithm (GA), the This paper presents a multivalued Hopfield-type neural network as a method for solving combinatorial optimization problems with a formulation free of fine-tuning parameters. As benchmark of the performance of the network we have used N -Queen problems. Computer
New Mathematical Models of N – Queens Problem and its Solution by a Derivative-Free Method of Optimization
free download
Most of the optimization methods do not inherit convergence proofs. One of the measures to rank them is their potential to solve challenging problems specially formulated for this purpose. In this paper the problem involves two main issues. Firstly we present new
Efficiency of parallel genetic algorithm for solving N – queens problem on multicomputer platform
free download
The paper investigates the efficiency of parallel genetic algorithm for solving N – queens problem on a multicomputer platform. The proposed parallel computational model of the genetic algorithm is based on a parallel algorithmic paradigm of synchronous iterations
A new approach to solve n – queens problem based on series
free download
The N – queens problem is a popular classic puzzle where numbers of queen were to be placed on an nxn matrix such that no queen can attack any other queen. The Branching Factor grows in a roughly linear way, which is an important consideration for the
Particle swarm optimization for N – queens problem
free download
The N -Queen is one of the prominent toy problems for performance assessment in the domain of Computational Intelligence. The problem greatly helps to examine the diverse aspects of solving techniques, counting the potential of obtaining feasible solution and
An Algebraic Method for the N – Queens Problem Based on Permutation Operation Group
free download
to analyze N – Queens problem in permutation space, this paper defines isomorphic operations of permutation to dihedral group D4. With these operations to find elements within an orbit, two operations on orbits are also defined to generate new orbit from existing
A Solution to the N – Queens Problem Using Biogeography-Based Optimization.
free download
Biogeography-based Optimization (BBO) is a global optimization algorithm based on population, governed by mathematics of biogeography, and dealing with geographical distribution of biological organisms. The BBO algorithm was used in the present study to
Basic and Hybrid Imperialist Competitive Algorithms for Solving the n – Queens Problem .
free download
The n – queens problem is a classical combinatorial optimization problem which has been proved to be NP-hard. The goal is to place n non-attacking queens on an n n chessboard. In this paper, the Imperialist Competitive Algorithm (ICA), which is a recent evolutionary
Results for the n – queens problem on the M bius board.
free download
In this paper we consider the extension of the n – queens problem to the M bius strip; that is, the problem of placing a maximum number of nonattacking queens on the mn chessboard for which the left and right edges are twisted connected. We prove the existence of solutions
Quantum algorithm for n – queens problem
free download
In the game of chess the queen piece can move in any direction (horizontal, vertical and di- agonal) and jump over any number of spaces. The n – queens problem is a classical combi- natorial problem related with the distribu- tion of n number of queens on an nxn chess board. The queens
A Novel Approach to Solving N – Queens Problem
free download
Placing n mutually non-attacking queens on an n by n chessboard is a classical problem in the artificial intelligence (AI) area. Over the past few decades, this problem has become important to computer scientists for providing solutions to many useful and practical
Common Search Strategies and Heuristics With Respect to the N – Queens Problem
free download
Page 1. Common Search Strategies and Heuristics With Respect to the N – Queens Problem by Sheldon Dealy Page 2. Topics Problem History of N – Queens Searches Used Heuristics Implementation Methods Results Discussion Page 3. Problem Given an NxN chess
An Approach to N – Queens Problem Using Chaos Neural Network-Challenge to Finding All Solutions of N – Queens Problem
free download
In this study, we investigate three different update methods of the chaos neural network in order to approach to finding all solutions of the N – Queens problem . By computer simulations for various sizes of the N – Queens problem , we confirm that the method to change the
Load Balancing using N – Queens Problem
free download
A distributed system can be viewed as a collection of computing and communication resources shared by active users. These resources are distributed and possibly owned by different agents or organization. When the demand for computing power increases the load
Investigation of the Regularities in the Formation of Solutions n – Queens Problem
free download
The n – Queens problem is considered. A description of the regularities in a sequential list of all solutions, both complete and short, is given. Determined that: 1. The fraction of total solutions in the general list of all solutions decreases, with increasing value of n . 2
A Hybrid Approach Using Particle Swarm Optimization and Parallel Simulated Annealing: A Case Study of n – Queens Problem
free download
This paper presents a hybrid approach by a combination of particle swarm optimization (PSO) and parallel simulated annealing (PSA) algorithms. PSO is a population based heuristic method that sometimes traps in local maximum. To cope with this problem , we
The worst case “brute force” solution for the N-queens puzzle has an O(n^n) time complexity. This means it will look through every position on an NxN board, N times, for N queens. It is by far the slowest and most impractical method.