Lec-33 Travelling Salesman Problem | In Operation Research | In Hindi

#travellingsalesmanproblem
#operationresearch
Hii....Today our topic is traveling salesman problem. In this video we are going to solve an example related to TSP in operation Research.
The Traveling Salesman Problem (TSP) is a problem in combinatorial optimization studied in operations research and theoretical computer science. Given a list of cities and their pair wise distances, the task is to find a shortest possible tour that visits each city exactly once.
Two conditions of TSP is a salesman visit each city once. No city can be visit twice and visit to city i to i is not permitted.
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hello ma'am , i have a doubt --> At 12.04 why didn't you draw lines of that table and modify it ? why did you take the other already drawn table at 12.29?. we are supposed to edit the current table right?

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Same doubt ma'am.

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[@vaishnavityagi5592]

mam is the method same for both minimization and maximization problems? also, is it mandatory that the salesman has to go in an certain order only, like from a to b and b to c and then c to d?

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[@yogithasumana8391]

In the step after the columns reduction matrix, we are drawing two horizontal lines & two vertical lines. Why can't we draw 4 horizontal lines, even that is covering all zeros. If horizontal rows are covered, in the next step, we will not be able to find the matrix based on uncovered elements. Could u please explain how to find a solution for this Mam?

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[@borntocreate5149]

is anyone had cleared this doubt as i had also same problem plz help how to select which one to cover or not?

[@aashiverma5458]

There is no problem any way you can draw the lines but keep in mind that all zeros should be covered. This will not affect the cost. The cost will be the same.

[@aashiverma5458]

We will create the modified matrix with the help of these lines and after that we will create the assignment by selecting the minimum element and repeating this procedure till we get the optimal solution to the traveling salesman problem.

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@@borntocreate5149if we cover all elements of the problem then we will not able to find the lowest element in the question to make the solution optimal

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Ma'am agr jha per infinite diya hai waha kuch bhi nhi diya ho ( i.e --- only dash line given ho infinity ki jagah per ) toh us case mein kya krenge ...btaye?

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17:08
Isme 4 ko asign kar k row or column dono k zero cancel kyo kiye...Kabhi sirf row k zero cancel karte ho or kabhi row column dono k...kaise ??

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Thank u maam

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One video on air crew problem

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Mam can u do cutting plane method of TSP

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KYA HUM ISKA USE DAA(DESIGN ANALYSIS OF ALGORITHM MEIN BHI KR SKTE H KYA ??

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Ma'am what to do when you get more than 1 zero in each row and column?

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Hello

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Is u r using nearest neighbour method?

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maam i have a doubt please clear kr dijiye apne colum deduction ke bad jo zero ko vertically amd horizontally cut kiaa wo samajh ni aya… row me 2 zero tha to jada 2 zero rehta hai usko skip karte hai na or 1 zero ko cut krte hai… apne row column dono k kesee cut kia samajh ni aya.. apne marji se kuch b le sakte hai kyaa kuch b cut kar skte h kya ? bas zero ko jesee b kahin se b cut krna hai ?

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