Hungarian Method for Assignment Problems
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Questions and Answers

Who developed and published the Hungarian method?

  • Resource Allocation Experts
  • Harold Kuhn (correct)
  • Management Scientists
  • Dénes Kőnig and Jenő Egerváry
  • What is a characteristic of assignment problems?

  • Total demand is greater than total supply
  • Total supply and demand are equal to 1 (correct)
  • Total supply is greater than total demand
  • Total supply is equal to total demand squared
  • What is the goal of assignment problems?

  • To optimize resource allocation and minimize costs
  • To balance the total supply and demand
  • To maximize the total cost of assignments
  • To minimize the total cost of assignments (correct)
  • What is the first step in the Hungarian method?

    <p>Finding the minimum element in each row and column</p> Signup and view all the answers

    What is the Hungarian method used for?

    <p>Optimizing resource allocation and minimizing costs</p> Signup and view all the answers

    Study Notes

    The Hungarian Method

    • A computational optimization technique used to solve assignment problems efficiently.
    • Named after Hungarian mathematicians Dénes Kőnig and Jenő Egerváry.
    • Developed and published in 1955 by Harold Kuhn.

    Assignment Problems

    • A special type of transportation problem where the total supply and demand are equal to 1.
    • Involve assigning resources or tasks to specific individuals or groups.
    • The goal is to minimize the total cost of these assignments.

    Steps to Solve Assignment Problems using the Hungarian Method

    • Find the minimum element in each row and column of the cost matrix.
    • Cover all zeros in the reduced cost matrix.
    • Find the smallest uncovered element to update the matrix.

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    Description

    The Hungarian method is a computational optimization technique used to solve assignment problems efficiently. Learn how it's used to optimize resource allocation and minimize costs in various fields.

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