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

Proof, prove that n/100=omega(n)

prove that n/100=omega(n)

Method to add an element in circular queue, Q. Let us consider a queue is h...

Q. Let us consider a queue is housed in an array in circular fashion or trend. It is required to add new items to the queue. Write down a method ENQ to achieve this also check whet

State in detail about the integer, State in detail about the Integer ...

State in detail about the Integer Carrier set of the Integer ADT is the set {..., -2, -1, 0, 1, 2, ...}, and  operations on these values are addition, multiplication, subtrac

Rotations in binary tree, H o w can you r ot a t e a B i n a r y...

H o w can you r ot a t e a B i n a r y Tr e e? E x pl a i n r i g h t a n d l eft r ot a tion s by taking an e x a mpl e.   If after

Linked list, how to creat atm project by using linked list?

how to creat atm project by using linked list?

Process of decision making under uncertainty, (a) Describe the steps involv...

(a) Describe the steps involved in the process of decision making under uncertainty. (b) Explain the following principles of decision making: (i) Laplace, (ii) Hurwicz. (c

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

Binary search tree, Objectives The purpose of this project is to give yo...

Objectives The purpose of this project is to give you significant exposure to Binary Search Trees (BST), tree traversals, and recursive code. Background An arbitrary BST i

Insertion of a node into a binary search tree, A binary search tree is cons...

A binary search tree is constructed through the repeated insertion of new nodes in a binary tree structure. Insertion has to maintain the order of the tree. The value to the lef

Create accessors for this data structure, Create a Money data structure tha...

Create a Money data structure that is made up of amount and currency. (a) Write a constructor for this data structure (b) Create accessors for this data structure (c) Writ

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