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What is meant by Travelling salesman problem?

What is meant by Travelling salesman problem?

The traveling salesman problem (TSP) is an algorithmic problem tasked with finding the shortest route between a set of points and locations that must be visited. Focused on optimization, TSP is often used in computer science to find the most efficient route for data to travel between various nodes.

What is traveling salesman problem explain with example?

For example, consider the graph shown in the figure on the right side. A TSP tour in the graph is 1-2-4-3-1. The cost of the tour is 10+25+30+15 which is 80. The problem is a famous NP-hard problem.

What is Travelling salesperson problem and what are its applications?

The traveling salesman problem (TSP) is a problem in combinatorial optimization and has several applications, such as vehicle routing problems, logistics, planning and scheduling.

Is traveling salesman problem solved?

The answer has practical applications to processes such as drilling holes in circuit boards, scheduling tasks on a computer and ordering features of a genome. The traveling salesman problem is easy to state, and — in theory at least — it can be easily solved by checking every round-trip route to find the shortest one.

Why is the Travelling salesman problem important?

The importance of the TSP is that it is representative of a larger class of problems known as combinatorial optimization problems. The TSP problem belongs in the class of such problems known as NP-complete.

What is Travelling salesman problem and how is it modeled as a graph problem?

The traveling nalesman problem (TSP) is to find a tour of minimal cost. The TSP can be modeled as a graph problem by considering a complete graph G = /V, E), and assigning each edge uu E E the cost o., A tour is then a circuit in G that meets every node. In this context, tours are sometimes called Eamiltonian c~rcuits.

What do traveling salesmen do?

What does traveling salesman mean? A traveling salesman is a man whose job is to sell products or services by traveling to different places, often within a certain region or assigned territory. A traveling salesman, though, typically meets with potential customers in person—this is often the whole point of traveling.

What is door to door salesman?

Door to door sales persons are called Direct Sales Representatives. Front desk positions are called Retail Sales Agents.

Why is the traveling salesman problem important?

Which statement is true about traveling salesman problem?

The only known way to verify that a provided solution is the shortest possible solution is to actually solve the entire TSP. Since it takes exponential time to solve NP, the solution cannot be checked in the real polynomial time. Hence, this problem is NP-hard, but not in NP.

What’s another name for a Travelling salesman?

What is another word for traveling salesperson?

traveling salesman commercial traveler
traveling woman traveling sales representative
travelerUS traveling agent
roadman drummer
traveling saleswoman travellerUK

Is there a solution to the traveling salesman problem?

Christofides’ Algorithm. In the early days of computers,mathematicians hoped that someone would come up with a much better approach to large traveling salesman problems – some algorithm that would

  • The Shortest Tree.
  • A Fractional Trip.
  • Is the traveling salesman problem solvable?

    The traveling salesman problem is important because it is NP complete.If you can find a fast way to solve it, you have proved P=NP and changed the face of computation. The latest result shows that a special type of traveling salesman (TSP) problem is solvable in polynomial time. The TSP problem is easy to state but difficult to solve efficiently .

    What is traveling salesman problem (TSP)?

    The traveling salesman problem (TSP) is an algorithmic problem tasked with finding the shortest route between a set of points and locations that must be visited . In the problem statement, the points are the cities a salesperson might visit.

    What did travelling salesmen sell?

    Travelling salesmen sold sweets, braces, drawing pins, sellotape, hoovers, rucksacks, biros, plimsoils, pants, and trousers. Traveling salesmen, on the other hand, sold candy, suspenders, thumb tacks, Scotch tape, vacuum cleaners, backpacks, ballpoint pens, tennis shoes, underwear, and pants.