# Introduction Of Assignment

(iii) Step 3, (i) and 3 (ii) are repeated till all the zeros are either marked or crossed out.

(iii) Step 3, (i) and 3 (ii) are repeated till all the zeros are either marked or crossed out.

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Having performed the step 1 and step 2, we will be getting at least one zero in each column in the reduced cost table. Now, the assignments are made for the reduced table in following manner.

(i) Rows are examined successively, until the row with exactly single (one) zero is found.

Starting from first column locate the smallest cost element in each column.

Now subtract this smallest element from each element of that column.

The total assignment cost will be given by The above definition can be developed into mathematical model as follows: Determine x is either zero or one.

Consider the objective function of minimization type.Any basic feasible solution of an Assignment problem consists (2n – 1) variables of which the (n – 1) variables are zero, n is number of jobs or number of facilities.Due to this high degeneracy, if we solve the problem by usual transportation method, it will be a complex and time consuming work. Before going to the absolute method it is very important to formulate the problem. Now as the problem forms one to one basis or one job is to be assigned to one facility or machine.Now, this smallest element is subtracted form each element of that row.So, we will be getting at least one zero in each row of this new table. Having constructed the table (as by step-1) take the columns of the table.It was created to support the course POSC003 Introduction to Political and Policy Studies.The purpose of the introduction is to give your reader a clear idea of what your essay will cover.Assignment problem is a special type of linear programming problem which deals with the allocation of the various resources to the various activities on one to one basis.It does it in such a way that the cost or time involved in the process is minimum and profit or sale is maximum.Assignment is made to this single zero by putting square □ around it and in the corresponding column, all other zeros are crossed out (x) because these will not be used to make any other assignment in this column. (ii) Step 3 (i) in now performed on the columns as follow:- columns are examined successively till a column with exactly one zero is found.Now , assignment is made to this single zero by putting the square around it and at the same time, all other zeros in the corresponding rows are crossed out (x) step is conducted for each column.

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