Web Reference: Now we will examine a few highly simplified illustrations of Hungarian Method for solving an assignment problem. Later in the chapter, you will find more practical versions of assignment models like Crew assignment problem, Travelling salesman problem, etc. One way to solve it is to invent a fourth dummy task, perhaps called "sitting still doing nothing", with a cost of 0 for the taxi assigned to it. This reduces the problem to a balanced assignment problem, which can then be solved in the usual way and still give the best solution to the problem. The Hungarian Method: The following algorithm applies the above theorem to a given n × n cost matrix to find an optimal assignment. Step 1. Subtract the smallest entry in each row from all the entries of its row. Step 2. Subtract the smallest entry in each column from all the entries of its column.
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