0
Add your answer:
Earn +20 pts
What are some effective heuristics for solving the traveling salesman problem efficiently?
Some effective heuristics for solving the traveling salesman problem efficiently include the nearest neighbor algorithm, the genetic algorithm, and the simulated annealing algorithm. These methods help to find approximate solutions by making educated guesses and refining them iteratively.
How can the traveling salesman problem be efficiently solved using dynamic programming?
The traveling salesman problem can be efficiently solved using dynamic programming by breaking down the problem into smaller subproblems and storing the solutions to these subproblems in a table. This allows for the reuse of previously calculated solutions, reducing the overall computational complexity and improving efficiency in finding the optimal route for the salesman to visit all cities exactly once and return to the starting point.
What is the 2-approximation algorithm for solving the Traveling Salesman Problem?
The 2-approximation algorithm for the Traveling Salesman Problem is a method that provides a solution that is at most twice the optimal solution. This algorithm works by finding a minimum spanning tree of the given graph and then traversing the tree to form a tour that visits each vertex exactly once.
What are some examples of famous NP-complete problems and how do they impact the field of computer science?
Some examples of famous NP-complete problems include the traveling salesman problem, the knapsack problem, and the Boolean satisfiability problem. These problems are considered difficult to solve efficiently, as their solutions require checking all possible combinations. Their impact on computer science is significant, as they have practical applications in areas such as optimization, cryptography, and algorithm design. Researchers continue to study these problems to develop more efficient algorithms and understand the limits of computation.
Can you provide an example of an NP-complete reduction?
An example of an NP-complete reduction is reducing the subset sum problem to the knapsack problem. This reduction shows that if we can solve the knapsack problem efficiently, we can also solve the subset sum problem efficiently.
What has the author Robert W Starr written?
Robert W. Starr has written: 'A multi-tour heuristic for the traveling salesman problem' -- subject(s): Traveling-salesman problem
How do you wrte a program for traveling salesman?
There are several free programs available for this sort of problem
What are some effective heuristics for solving the traveling salesman problem efficiently?
Some effective heuristics for solving the traveling salesman problem efficiently include the nearest neighbor algorithm, the genetic algorithm, and the simulated annealing algorithm. These methods help to find approximate solutions by making educated guesses and refining them iteratively.
How can the traveling salesman problem be efficiently solved using dynamic programming?
The traveling salesman problem can be efficiently solved using dynamic programming by breaking down the problem into smaller subproblems and storing the solutions to these subproblems in a table. This allows for the reuse of previously calculated solutions, reducing the overall computational complexity and improving efficiency in finding the optimal route for the salesman to visit all cities exactly once and return to the starting point.
What is an intractable problem in computer limitations and can give the example?
An intractable problem is one for which there is an algorithm that produces a solution - but the algorithm does not produce results in a reasonable amount of time. Intractable problems have a large time complexity. The Travelling Salesman Problem is an example of an intractable problem.
What are the qualities required for a Good salesman?
A good salesman is a good problem solver.
What has the author Robert A Luenberger written?
Robert A. Luenberger has written: 'A traveling-salesman-based approach to aircraft scheduling in the terminal area' -- subject(s): Scheduling, Terminal facilities, Traffic control, Algorithms, Traveling salesman problem
In math what is traveling sales man problem?
The "travelling salesman problem" is the problem where you have to find the shortest route to visit each of several cities. Even if the distances between the cities are known, the solution is actuall quite complicated; a lot of different algorithms (methods) have been developed to optimize the problem under certain circumstances.
Difference between np hard and np complete?
All NP complete problems are NP hard problems when solved in a different way. But, all NP hard problems are not NP complete. Ex: 1. Traveling salesman problem. It is both NP hard and NP complete. We can find that whether the solution is correct or not in the given period of time. In this way, it is NP complete. But, to find the shortest path, i.e. optimization of Traveling Salesman problem is NP hard. If there will be changing costs, then every time when the salesperson returns to the source node, then he will be having different shortest path. In this way, it is hard to solve. It cannot be solved in the polynomial time. In this way, it is NP hard problem. 2. Halting problem. 3. Sum of subset problem.
What has the author Robert Plante written?
Robert Plante has written: 'Comparative performance of multinomial, cell, and stringer bounds' -- subject(s): Auditing, Statistical methods 'Partitioning and balancing for the assembly of vanes in gas turbine engines' -- subject(s): Aircraft gas-turbines, Blades, Maintenance and repair, Mathematical models 'The product matrix traveling salesman problem' -- subject(s): Heuristic programming, Traveling-salesman problem 'The effects of order of monetary-unit taints in estimating an upper bound on total overstatement error with monetary-unit sampling' -- subject(s): Auditing, Sampling (Statistics)
What are the differences between Chinese postman problem and travelling salesman problem?
Imagine an island with a road network joining several towns. You want to visit each town before returning to your start point. Finding the best solution to this is the travelling salesman problem. now imagine you want to resurface every road on the network. To do this in the shortest distance is the Chinese postman problem. Essentially for the travelling salesman problem you have to visit every vertex. For the Chinese postman problem every edge must be visited.
What is a problem that willy has at the end of act 1?
Willie Loman is a salesman in "Death of a Salesman" by Arthur Miller. At the end of Act 1 Willy's problem is that he is dissatisfied with how his neighborhood has developed and gotten crowded. He yearns for how things were in the past.
