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

Darw a flowchart to inputs top speeds of 5000 cars, Write an algorithm in t...

Write an algorithm in the form of a flowchart that: inputs top speeds (in km/hr.) of 5000 cars Outputs fastest speed and the slowest speed Outputs average (mean) s

State hsv colour model, HSV Colour Model Instead of a set of colour pri...

HSV Colour Model Instead of a set of colour primaries, the HSV model uses colour descriptions that have a more intuitive appeal to a user. To give a colour specification, a use

ERM, Hi, can you give me a quote for an E-R diagram

Hi, can you give me a quote for an E-R diagram

Explain backtracking, Explain Backtracking The  principal idea is to co...

Explain Backtracking The  principal idea is to construct solutions single component  at a time  and evaluate such  partially constructed candidates as follows. If a partiall

Define linked list ?, Linked lists are among the most common and easiest da...

Linked lists are among the most common and easiest data structures. They may be used to implement various other common abstract data types, including queues, stacks, symbolic expre

What is algorithm, What is Algorithm A finite sequence of steps for a...

What is Algorithm A finite sequence of steps for accomplishing some computational task. An algorithm should Have steps which are simple and definite enough to be done

Delete a given specific node from a doubly linked list. , D elete a specif...

D elete a specific Node from Double Linked List as follows DELETEDBL(INFO, FORW, BACK, START, AVAIL,LOC) 1. [Delete Node] Set FORW [ BACK [LOC]]:= FORW[LOC]& BACK [FORW[

Worst case and average case, Worst Case: For running time, Worst case runn...

Worst Case: For running time, Worst case running time is an upper bound with any input. This guarantees that, irrespective of the type of input, the algorithm will not take any lo

Merging, merging 4 sorted files containing 50 10 25 and 15 records will tak...

merging 4 sorted files containing 50 10 25 and 15 records will take time

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