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What is Traveling Salesman Problem

Handbook of Research on Swarm Intelligence in Engineering
Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city? It is an NP-hard problem in combinatorial optimization, important in operations research and theoretical computer science. The TSP has several applications even in its purest formulation, such as planning, logistics, and the manufacture of microchips. Slightly modified, it appears as a sub-problem in many areas, such as DNA sequencing. In these applications, the concept city represents, for example, customers, soldering points, or DNA fragments, and the concept distance represents travelling times or cost, or a similarity measure between DNA fragments. In many applications, additional constraints such as limited resources or time windows may be imposed.
Published in Chapter:
Studies of Computational Intelligence Based on the Behaviour of Cockroaches
Amartya Neogi (Dr. B. C. Roy Engineering College, India)
Copyright: © 2015 |Pages: 48
DOI: 10.4018/978-1-4666-8291-7.ch004
Abstract
In this chapter, the author expands the notion of computational intelligence using the behavior of cockroaches. An introduction to cockroach as swarm intelligence emerging research area and literature review of its growing concept is explained in the beginning. The chapter also covers the ideas of hybrid cockroach optimization system. Next, the author studies the applicability of cockroach swarm optimization. Thereafter, the author presents the details of theoretical algorithm and an experimental result of integration of robot to some cockroaches to make collective decisions. Then, the author proposes his algorithm for traversing the shortest distance of city warehouses. Then, a few comparative statistical results of the progress of the present work on cockroach intelligence are shown. Finally, conclusive remarks are given. At last, the author hopes that even researchers with little experience in swarm intelligence will be enabled to apply the proposed algorithm in their own application areas.
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More Results
Routing
The most prominent problem in combinatorial optimization, defined as the routing problem where a hypothetical salesman must find the most efficient sequence of destinations in his territory, stopping only once at each, and end up at the initial starting location.
Published in Chapter: Routing; From: Handbook of Research on Geoinformatics
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Improvement of the Optimization of an Order Picking Model Associated With the Components of a Classic Volkswagen Beetle Using an Ant Colony Approach
A classic optimization problem that consists of a salesman and a set of cities. The salesman must visit the entire set of cities given the same starting and closing point.
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Exploring the Unknown Nature of Data: Cluster Analysis and Applications
Given a complete undirected graph G, where each edge between a pair of vertices is weighted with a non-negative integer cost, the common form of the travelling salesman problem is equivalent to finding the shortest Hamiltonian cycle, which is a tour over G that begins and ends at the same vertex and visits other vertices exactly once.
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Order Picking Optimization Based on a Picker Routing Heuristic: Minimizing Total Traveled Distance in Warehouses
A problem formulated to find the shortest possible route to visit a given a list of storage positions in a warehouse or distribution center and returning to the depot.
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