TSP is np- hard problem which has number of solution but it's difficult to find optimal solution . I gave here fast,easy and efficient solution on TSP using one algorithm with good explanation.Hope you understood very well.
Introduction to Dynamic Programming, Principle of OptimalityBhavin Darji
Introduction
Dynamic Programming
How Dynamic Programming reduces computation
Steps in Dynamic Programming
Dynamic Programming Properties
Principle of Optimality
Problem solving using Dynamic Programming
Dynamic Programming is a method for solving a complex problem by breaking it down into a collection of simpler subproblems, solving each of those subproblems just once, and storing their solutions using a memory-based data structure (array, map,etc).
Design and Analysis of Algorithm help to design the algorithms for solving different types of problems in Computer Science. It also helps to design and analyze the logic of how the program will work before developing the actual code for a program.
Directed Acyclic Graph Representation of basic blocks is the most important topic of compiler design.This will help for student studying in master degree in computer science.
OPERATIONAL RESEARCH , BUSINESS APPLICATIONS
OF TRAVELLING SALESMAN , ASSIGNMENT PROBLEMS ETC, LIVE EXAMPLES...
DESIGN , CONTENTS & ANALYSIS BY AKHILESH MISHRA,PGDM MARKETING, XISS RANCHI
Introduction to Dynamic Programming, Principle of OptimalityBhavin Darji
Introduction
Dynamic Programming
How Dynamic Programming reduces computation
Steps in Dynamic Programming
Dynamic Programming Properties
Principle of Optimality
Problem solving using Dynamic Programming
Dynamic Programming is a method for solving a complex problem by breaking it down into a collection of simpler subproblems, solving each of those subproblems just once, and storing their solutions using a memory-based data structure (array, map,etc).
Design and Analysis of Algorithm help to design the algorithms for solving different types of problems in Computer Science. It also helps to design and analyze the logic of how the program will work before developing the actual code for a program.
Directed Acyclic Graph Representation of basic blocks is the most important topic of compiler design.This will help for student studying in master degree in computer science.
OPERATIONAL RESEARCH , BUSINESS APPLICATIONS
OF TRAVELLING SALESMAN , ASSIGNMENT PROBLEMS ETC, LIVE EXAMPLES...
DESIGN , CONTENTS & ANALYSIS BY AKHILESH MISHRA,PGDM MARKETING, XISS RANCHI
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
A new hybrid approach for solving travelling salesman problem using ordered c...eSAT Journals
Abstract Travelling Salesman Problem is a well known NP problem. It is an optimization problem. Genetic Algorithms are the evolution techniques to solve optimization problems. In this paper a new hybrid technique using ordered cross over 1 (OX1) and greedy approach has been proposed. Experiment results shows that the proposed hybrid cross over is better than the existing cross over operator as the new operator provide a better path when executed for the same number of iterations. Keywords:- Travelling Salesman Problem, ordered cross over 1 (OX1)
Software testing is the process of evaluating and verifying that a software product or application does what it is supposed to do. The benefits of testing include preventing bugs, reducing development costs and improving performance.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
Overview of the fundamental roles in Hydropower generation and the components involved in wider Electrical Engineering.
This paper presents the design and construction of hydroelectric dams from the hydrologist’s survey of the valley before construction, all aspects and involved disciplines, fluid dynamics, structural engineering, generation and mains frequency regulation to the very transmission of power through the network in the United Kingdom.
Author: Robbie Edward Sayers
Collaborators and co editors: Charlie Sims and Connor Healey.
(C) 2024 Robbie E. Sayers
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
About
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
Technical Specifications
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
Key Features
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface
• Compatible with MAFI CCR system
• Copatiable with IDM8000 CCR
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
Application
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
2. Travelling Salesman Problem
Problem
Given a list of cities and the distances between each pair of cities,
what is the shortest possible route that visits each city exactly
once and returns to the origin city.
Travelling Salesman Problem
3. Travelling Salesman Problem
Example
Akshay has following list of cities and want to visit each city once,
return back to home:
Pune(Home)(A)
Bangalore(B)
Chennai(C)
Delhi(D)
Kolkata(E)
ShriNagae(F)
Travelling Salesman Problem
4. Travelling Salesman Problem
Matrix
A B C D E F
A 0 36 32 54 20 40
B 36 0 22 58 54 67
c 32 22 0 36 42 71
D 54 58 36 0 50 92
E 20 54 42 50 0 45
F 40 67 71 92 45 0
Let say that , These are the distances from the cities and akshay
want to go from Home-city(Pune) to ShriNagar with minimum
cost. In which order/path he do these?
Travelling Salesman Problem
5. Travelling Salesman Problem
We Solve the problem using Nearest neighbor algorithm:
Algorithm:
1 Select a city as current city.
2 Find out the shortest edge connecting the current city and an
unvisited city.
3 Set the new city as current city.
4 Mark the previous current city as visited.
5 If all the cities are visited, then terminate.
6 Go to step 2.
Travelling Salesman Problem
6. Travelling Salesman Problem
Explanation : We visit Cities As follows Using Above algorithm,
A → E = 20
E → C = 42
C → B = 22
B → D = 58
D → F = 92
F → A = 40
Total Cost = 20 + 42 + 22 + 58 + 92 + 40 = 274
Travelling Salesman Problem
7. Travelling Salesman Problem
Pseudo Code :
Home City = Visited = Current city
While(!visitedAll City)
Node = Find Shortest distance(Current node)
Add Node (Node)
Current node = Node
Result = All node + Home City[0][last Visit Node]
return Final result= Result
Travelling Salesman Problem
8. Travelling Salesman Problem
Summary
1 Complexity of this algorithm is o(n2)
which is much better than brute force algorithm.
2 It is Fast, Easy and Efficient.
Travelling Salesman Problem
9. Travelling Salesman Problem
Reference
We can solve TSP problem using genetic algorithm.
1 Research Paper on Travelling Salesman Problem And its
Solution Using Genetic Algorithm.
http://www.ijirt.org/vol1/paperpublished/IJIRT101672PAPER.pdf
2 https://thesai.org/Downloads/Volume3No7/Paper 15-
Improving the Solution of Traveling Salesman Problem
Using Genetic, Memetic Algorithm and Edge assembly Crossover.pdf
Travelling Salesman Problem