Travelling salesman problem, Data Structure & Algorithms

Assignment Help:

Example 3: Travelling Salesman problem

Given: n associated cities and distances among them

Find: tour of minimum length that visits all of city.

Solutions: How several tours are possible?

n*(n -1)...*1 = n!

Because  n! > 2(n-1)

Therefore n! = ? (2n) (lower bound)

As of now, there is no algorithm that determines a tour of minimum length plus covers all of the cities in polynomial time.  But, there are many very good heuristic algorithms.


Related Discussions:- Travelling salesman problem

Stacks, Q. Explain w hat are the stacks? How can we use the stacks  to chec...

Q. Explain w hat are the stacks? How can we use the stacks  to check whether an expression is correctly parentheses or not. For example (()) is well formed but (() or )()( is not w

Algorithm for multiplication of two sparse matrices using li, algorithm for...

algorithm for multiplication of two sparse matrices using linked lists..

Aa-trees, Red-Black trees have introduced a new property in the binary sear...

Red-Black trees have introduced a new property in the binary search tree that means an extra property of color (red, black). However, as these trees grow, in their operations such

Algorithm for sorting a deck of cards, What is wrong with the following alg...

What is wrong with the following algorithm for sorting a deck of cards (considering the basic properties of algorithms)? I. Put the cards together into a pile II. For each ca

Multiple queue, #questionalgorithm for implementing multiple\e queues in a ...

#questionalgorithm for implementing multiple\e queues in a single dimensional array

What are the different ways of representing a graph, What are the different...

What are the different ways of representing a graph? The different ways of representing a graph is: Adjacency list representation: This representation of graph having of an

Queue, what''s queue ?

what''s queue ?

Rooted tree, It does not have any cycles (circuits, or closed paths), which...

It does not have any cycles (circuits, or closed paths), which would imply the existence of more than one path among two nodes. It is the most general kind of tree, and might be co

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd