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

Program for all pairs shortest paths algorithm, Program segment for All pai...

Program segment for All pairs shortest paths algorithm AllPairsShortestPaths(int N, Matrix C, Matrix P, Matrix D) { int i, j, k if i = j then C[i][j] = 0  for ( i =

Explain in brief about the container, Explain in brief about the Container ...

Explain in brief about the Container An entity which holds finitely many other entities. Just as containers such as boxes, baskets, bags, pails, cans, drawers, and so for

Road transport booking system, what algorithms can i use for the above titl...

what algorithms can i use for the above title in my project desing and implmentation of road transport booking system

Explain the stack, QUESTION Explain the following data structures: ...

QUESTION Explain the following data structures: (a) List (b) Stack (c) Queues Note : your explanation should consist of the definition, operations and examples.

Data type, Q. Define the terms data type and abstract data type. Comment up...

Q. Define the terms data type and abstract data type. Comment upon the significance of both these.   Ans: We determine the total amount of memory to reserve by determining

What is quick sort, What is quick sort?   Answer Quick sort is on...

What is quick sort?   Answer Quick sort is one of the fastest sorting algorithm used for sorting a list. A pivot point is chosen. Remaining elements are divided or portio

Algorithm for determining who won rock paper scissors game, Suppose you are...

Suppose you are given the results of 5 games of rock-paper-scissors. The results are given to you on separate pieces of paper; each piece says either 'A' if the first person won, o

Differentiate between nonpersistent and 1-persistent, Differentiate between...

Differentiate between Nonpersistent and 1-persistent Nonpersistent: If the medium is idle, transmit; if the medium is busy, wait an amount of time drawn from a probability dist

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