Metode North West Corner
The Northwest Corner Method (or upper left-hand corner) is a heuristic that is applied to a special type of problem structure called the, which ensures that there is an initial basic feasible solution (non artificial). Other methods for obtaining an initial basic solution are the Minimum Cell Cost Method and the Vogel Approximation Model. Generally, Vogel’s Model produces the best initial basic solution and the Northwest Corner the worst; nevertheless, the Northwest Corner Method involves the least number of calculations.The Northwest Corner Method starts in the cell (route) corresponding to the northeast corner, or the upper left, of the tableau (variable ). Below is a description of the steps:. Step 1: Allocate the maximum amount available to the selected cell and adjust the associated supply and demand quantities by subtracting the allocated quantity. Step 2: Exit the row or the column when the supply or demand reaches zero and cross it out, to show that you cannot make any more allocations to that row or column.
Contoh Soal Metode North West Corner Rule
If a row or a column simultaneously reach zero, only cross out one (the row or the column) and leave a zero supply (demand) in the row (column) that is not crossed out. Step 3: If exactly one row or column is left that is not crossed out, stop.
Otherwise, advance to the cell to the right if a column has just been crossed out, or to the cell below if a row was crossed out. Continue with Step 1.Northwest Corner Method ExampleIn order to illustrate how to apply the Northwest Corner Method we will consider the following balanced transportation model that takes into account 3 silos products (supply) that satisfy the needs of 4 mills (demand). The transportation algorithm is based on the hypothesis that the model is balanced, in other words, that the total demand is equal to the total supply (if the model is not balanced it can always be increased with a fictitious source or a fictitious destination to restore the equilibrium or balance).
The per unit transport costs from silo i to mill j ( ) is represented in the upper right-hand corner of each box. For example the unit cost of sending one product unit from silo 1 to mill 1 is $10. Furthermore silos 1, 2 and 3 have a capacity and supply of 15, 25 and 10 units, respectively. On the other hand mills 1, 2, 3 and 4 have requirements or demands of 5, 15, 15 and 15 units, respectively.
Contoh Soal Metode North West Corner
The model is balanced ( sum of the supply = sum of the demand = 50 units). By applying the Northwest Corner Model to the previous example the following results are obtained.
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