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Hungarian Assignment Method and Assignment Problems

Mathematics10 CardsCreated about 1 month ago

This deck covers key concepts related to the Hungarian Assignment Method and the Assignment Problem, including optimal solutions, effects on cost tables, and objectives in different cases.

Which method is specifically designed to handle Assignment Problems efficiently?

Hungarian assignment method

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Key Terms

Term
Definition
Which method is specifically designed to handle Assignment Problems efficiently?
Hungarian assignment method
What is the minimum number of lines required to cover all zeros in a cost table?
n
What indicates an optimal solution in the Hungarian Assignment Method?
The number of lines drawn is equal to n.
How does the Hungarian Assignment Method affect the total cost in the original cost table?
It does not affect the total cost.
What is the objective of the Assignment Problem in the maximization case?
To maximize the total value.
What is the condition for optimality in the maximization case of the Assignment Problem?
The number of lines covering all zeros is equal to n.

Related Flashcard Decks

TermDefinition
Which method is specifically designed to handle Assignment Problems efficiently?
Hungarian assignment method
What is the minimum number of lines required to cover all zeros in a cost table?
n
What indicates an optimal solution in the Hungarian Assignment Method?
The number of lines drawn is equal to n.
How does the Hungarian Assignment Method affect the total cost in the original cost table?
It does not affect the total cost.
What is the objective of the Assignment Problem in the maximization case?
To maximize the total value.
What is the condition for optimality in the maximization case of the Assignment Problem?
The number of lines covering all zeros is equal to n.
How does the maximization case of the Assignment Problem affect the original pay-off matrix?
It does not affect the total value.
What is the objective of the Assignment Problem in the general case?
To minimize the total cost.
What concept is the Hungarian Assignment Method based on?
Opportunity cost.
What happens when all zeros are covered in the cost table?
An optimal solution is achieved.