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

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

Define big theta notation, Define Big Theta notation Big Theta notati...

Define Big Theta notation Big Theta notation (θ) : The upper and lower bound for the function 'f' is given by the big oh notation (θ). Considering 'g' to be a function from t

Algorithm that inputs the codes for all items in stock, A shop sells books,...

A shop sells books, magazines and maps. Every item is identified by a unique 4 - digit code. All books have a code which starts with 1, all maps have a code starting with 2 and all

Dijkstras algorithm, Djikstra's algorithm (named after it is discovered by ...

Djikstra's algorithm (named after it is discovered by Dutch computer scientist E.W. Dijkstra) resolves the problem of finding the shortest path through a point in a graph (the sour

Algorithms, b) The user will roll two (six-sided) dices and the user will l...

b) The user will roll two (six-sided) dices and the user will lose the game if (s)he gets a value 1 on either any of the two dices & wins otherwise. Display a message to the user w

Define rule-based expert system, 1. Define the following terms in a rule-ba...

1. Define the following terms in a rule-based expert system? a) Knowledge base b) Inference engine 2. What is a fuzzy rule? Explain the difference between classical and fuzzy

Define different types of sparse matrix, Q1. Define a sparse matrix. Explai...

Q1. Define a sparse matrix. Explain different types of sparse matrices? Evaluate the method to calculate address of any element a jk of a matrix stored in memory. Q2. A linear

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

Convertion, how we can convert a graph into tree

how we can convert a graph into tree

State cmy model, CMY Model  The cyan, magenta, yellow (CMY) colour mode...

CMY Model  The cyan, magenta, yellow (CMY) colour model is a subtractive model based on the colour absorption properties of paints and inks. As such it has become the standard

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