The steps involved in determining an initial solution using north west corner rule are as. North west corner method transportation problem tutorial 3. Its major disadvantage, however, is that it is not sensitive to costs and consequently yields poor initial solutions. The name northwest corner is given to this method because the basic variables are selected from the extreme left corner. Jul 28, 2011 the socalled northwest corner rule appears in virtually every textbook chapter on the transportation problem.
Develop an initial feasible solution to the problem by any of these methods 4. Identify the cell at north west corner of the transportation matrix. Begin with upper left corner cell c1,w1 of the transportation table. Step 1 start with the cell in the upper left hand corner north west corner. Vogels approximation method vam or penalty method lets dive into each method. Page 2 transportation problem north west corner method 3. In this paper the best optimality condition has been checked. The supply at that cell is 40 and the demand is 30. With a few exceptions the various manual methods for solving the problem differ in the way the initial basic feasible solution is obtained. The northwest corner rule the northwest corner rule requires that we start in the upper lefthand cell or northwest corner of the table and allocate units to shipping routes. The north west corner rule is a method adopted to compute the initial feasible solution of the transportation problem. The least cost method is considered to produce more optimal results than the north west corner because it considers the shipping cost while making the allocation, whereas the north west corner method only considers the availability and supply requirement and allocation begin with the extreme left corner, irrespective of the shipping cost. Solving transportation problem with north west corner rule.
Determine basic feasible solution to the following transportation problem using north west corner rule. In transportation problem, which method gives the best. The standard instructions for a transportation model are paraphrased below. Reduce the amount of corresponding supply or demand which is more by allocated amount. Muhammad daniyal ashfaq 051 muhammad waleed aslam 014 javeria khalid hassan 047 shahrukh hussain 032 course instructor. Sep 23, 2020 here, northwest corner method will be used. Uv method to optimize the initial basic feasible solution.
Initial tableau developed using northwest corner method. Allocate as many units as possible to that cell without exceeding supply or demand. Optimum basic solution stepping stone method modified distribution method a. Other methods can be found in standard texts on linear programming. We present the five methods and an illustrative example is solved by these five methods.
Allocate as much as possible to the cell in the upper lefthand corner, subject to the supply and demand constraints. North west corner method transportation problem tutorial 3other popular and amazing videos from ujjwal kumar senall sfd and bmd tutorials. Mar 04, 2019 the north west corner rule is a method adopted to compute the initial feasible solution of the transportation problem. The major advantage of the north west corner rule method is that it is very simple and easy to apply. It is very simple to obtain optimum solution through this method. Pdf transportation problem in operational research. Using i north west corner rule ii least cost method iii vogels approximation method. Allocate as much as possible to the next adjacent feasible cell. Minimum transportation cost calculator using north west. In 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. These units are to be shipped to four warehouses w 1, w 2, w 3, and w 4 with requirement of 20, 40, 30, and 10 units per week respectively.
North west corner method nwcm the north west corner rule is a method for computing a basic feasible solution of a transportation problem where the basic variables are selected from the north west corner i. Some simple methods to obtain the initial basic feasible solution are 1. Am70 010 60 cl 60 80 20 40 the solution may not be. And according to the northwest corner method this is the final initial basic feasible solution. In general, we let the modi method then requires five.
This method doesnt take the shipping cost shipping cost into consideration. Some simple methods to obtain the initial basic feasible solution are. Transportation problems transportation problems pearson. Lowest cost entry method matrix minima method step 1 determine the smallest cost in the cost matrix of the transportation table. Given here is the minimum transportation cost calculator using north west corner method to determine the transportation cost. Penyelesaian dengan north west corner dan modi sebuah perusahaan saat ini beroperasi dengan 3 buah pabrik serta jumlah permintaan dari 3 kota dengan kapasitas masingmasing sebagai berikut. There are several methods available to obtain an initial basic feasible solution of a transportation problem. According to the least cost cell method, the least cost among all the cells in the table has to be found which is 1 i.
Repeat step 2 until all rim requirements have been met. In this article, the least cost cell method will be discussed solution. Methods for initial basic feasible solution lecture 15 transportation. Vogels approximation method unit cost penalty method north west corner rule step 1 the first assignment is made in the cell occupying the upper lefthand north west corner of the table. Solving transportation problem by various methods and their. One disadvantage of using northwest corner rule to find initial solution to the transportation problem is that it does not take into account cost of transportation.
North west corner rule in transportation problem in hindi. Reduce the amount of corresponding supply or demand which is more by allocated. We will consider only the north west corner rule of developing an initial solution. Transportation method north west corner rule youtube. Pabrik produksi kota permintaan a 90 ton solo 50 ton b 60 ton kudus 110 ton c 50 ton tegal 40 ton total 200 ton total 200 ton. The standard north west corner rule instructions are paraphrased below. This method does not take into consider the important factor viz, cost which is sought to be minimized. Example 2 luminous lamps has three factories f 1, f 2, and f 3 with production capacity 30, 50, and 20 units per week respectively. Intuitive method a costbased approach to finding an initial solution to a transportation problem. Initial basic feasible solution of a transportation.
Select the upper left corner cell of the transportation matrix and allocate mins1, d1. North west is an easy way to find a solution and works efficiently most of the time. North west corner rule nwc it is a simple method to obtain an initial basic feasible solution. Transportation problem set 3 least cost cell method. Allocate the maximum amount allowable by the supply and demand constraints to the variable x11 i. But now we must compute a value for each row call the values r 1, r 2, r 3 if there are three rows and for each column k 1, k 2, k 3 in the transportation table. The northwest corner rule is easy to use, but it totally ignores costs. Transportation problem set 6 modi method uv method. Starting from the north west corner, we allocate min 50, 20 to p1r1, i.
Use the north west corner method to find an initial solution to the problem described in example 1 and shown in. If x ij b j, cross out the j th column of the table and decrease a i by b j. Find initial basic feasible solution using north w. The name north west corner is given to this method because the basic variables are selected from the extreme left corner. Solving transportation problem using objectoriented model. One disadvantage of using north west corner rule to find. Module b transportation and assignment solution methods. As a result, to obtain the initial solution requires several iterations before an optimum solution is obtained. Model transportasi dengan metode northwest corner mari. Vogels approximation method or penalty method steps for north west corner method. Find initial basic feasible solution using north west corner rule column minimum method row minimum method matrix minimum method to 2 1 3 3 from 11 4 9 3 10 7 4 3 2 8 5 availability 4 8 9 7 1 12 6 t requirement 3.
The amount allocated is the most possible,subject tothe supply and demand constraints for that cell. Feb 19, 2012 initial basic feasible solution north west corner rule nwcr row minima method column minima method least cost method vogle approximation method vam 10. One disadvantage of using northwest corner rule to find. In applying the modi method, we begin with an initial solution obtained by using the northwest corner rule or any other rule. The north west corner rule is a method for computing a basic feasible solution of a transportation problem where the. Examine whether the initial solution is feasible or not. If the supply is 0, then cross strike that row and move down to the next cell. The name north west corner is because the basic variables are selected from the extreme left corner.
Jul 03, 2020 there are different methods available to obtain the initial basic feasible solution. The north west corner rule is a method for computing a basic feasible solution of a transportation problem, where the basic variables are selected from the north west corner i. Transportation problems initial basic feasible solution. Management science transportation intitial allocations. Advantage of north west corner method, business management. Northwest corner method transportation algorithm in lp. The steps of the northwest corner method are summarized here. Column minimum method the five methods differ in the quality of the starting basic solution they produce and better starting solution yields a smaller objective value. North west corner method the method starts at the northwest corner cell route. This methods is very effective as it provide step by step solution. The modi and vam methods of solving transportation. It is a standard method for computing a basic feasible solution which will be denoted bfs nw in the following, and it does so by fixing the values of the basic variables one by one and starting from the northwest corner of matrix c. For that lets consider an example problem for better understanding.
North west corner rule matrix minimum method vogel approximation method. The simplest procedure for finding an initial basic feasible solution was proposed by dantzig 1951 and was termed the northwest corner rule by charnes and. Although the north west corner rule is the easiest, it is not the most attractive because our objective is not included in the process. Transportation problem set 2 northwest corner method. Find the basic feasible solution bfs using north west corner rule. Step 3 move one cell to the right if there is any remaining supply. The northwest corner rule is a method adopted to compute the initial feasible solution of the transportation problem. This video explains north west corner rule for finding an initial basic feasible solution in transportation problem. The north west corner rule is used to compute the initial feasible solution for the transportation problem. Pabrik produksi kota permintaan a 90 ton solo 50 ton b 60 ton kudus 110 ton c 50 ton tegal 40 ton. If the supply is 0, then cross strike that row and move down to. Pabrik produksi kota permintaan a 90 ton solo 50 ton b. For finding the initial basic feasible solution total supply must be equal to total demand.
Innovative application of dantzigs north west corner rule to. North west corner rule is a method for computing a basic feasible solution of a transportation problem, where the basic variables are selected from the north. With the northwest corner method, an initial allocation is made to the cell in the upper lefthand corner of the tableau i. Penyelesaian dengan north west corner dan stepping stone sebuah perusahaan saat ini beroperasi dengan 3 buah pabrik serta jumlah permintaan dari 3 kota dengan kapasitas masingmasing sebagai berikut. Pdf the north west corner method nwcm, the south east corner method. Nov 04, 2020 the north west corner method has been discussed in the previous article. Initial basic feasible solution of a transportation problem. Untuk lebih memperjelas, mari kita jawab soal beeikut. Methods of finding initial basic feasible solutions. The vogels approximation method vam is an iterative procedure for computing a basic feasible solution of a transportation problem. Dec 05, 2017 metode sudut barat laut north west corner rule metode biaya terendah least cost rule metode aproksimasi vogel vogel approximation method vam nah, untuk solusi optimal menggunakan metode batu loncatan stepping stone rule dan modi modified distribution method.
In transportation problem, which method gives the best result. Find the initial basic feasible solution of the following transportation problem. In our example, we first allocate as much as possible to. Subtract this value from supply and demand of respective row and column. The concept of north west corner can be well understood through a transportation problem given below.
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