In transportation problem, which method gives the best result. 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. 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. The vogels approximation method vam is an iterative procedure for computing a basic feasible solution of a transportation problem. Model transportasi dengan metode northwest corner mari. According to north west corner method, o1, d1 has to be the starting point i.
The northwest corner rule is easy to use, but it totally ignores costs. Assign the maximum amount to this cell that is allowable based on the requirements and the capacity constraints. Dalam permasalahan model transportasi pada program linier, ada banyak cara yang dapat digunakan untuk menemukan solusi, salah satunya dengan metode northwest corner. Since the supply from row o1 is completed cancel the row o1. Northwest 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. Dalam metode nwc ini, sumber dan lokasi tujuan diurutkan dari sisi kiri ke kanan dan dari atas ke bawah dalam peta data matriks.
Test for optimality modified distribution method modi modified distribution method modi it is a method for computing optimum solution of a transportation problem. There are three common methods to find an initial basic feasible solution to the transportation problems. Metode north west corner metode northwest corner nwc adalah salah satu metode transportasi yang paling mudah dilakukan, tetapi hasilnya belum tentu optimal. Find the basic feasible solution bfs using north west corner rule. Exhaust the supply factory capacity of each row before moving down to the next row. Like least cost method, here also the shipping cost is taken into consideration, but in a relative sense. One disadvantage of using northwest corner rule to find. Hence any vastu defect or dosh in north west direction leads to tension and clashes with neighbors, legal matters, court cases even imprisonment in some cases.
Mar 15, 2018 north west corner rule transportation problems. O1, d2 and allocate the minimum among the supply for the respective column and the rows. Solving transportation problem using objectoriented model. Use horizontal scrollbar to view full table calculation. The name north west corner is because the basic variables are selected from the extreme left corner. Transportation problem solution by using northwest corner. Straight lines connecting sixteenth corners complete the job. Tentukan total biaya transportasi dengan penentuan pemecahan awal solusi awal menggunakan. The amount allocated is the most possible,subject tothe supply and demand constraints for that cell. Matlab code for rolling style analysis in portfolio performance analysis. Southeast corner method and a comparative study on the north west corner, southeast corner, north east corner and south west corner methods article pdf available may. The north west corner rule is a method adopted to compute the initial feasible solution of the transportation problem.
The procedure for constructing an initial basic feasible solution selects the basic variables one at a time. Oct 26, 2015 northwest corner method transportation algorithm in linear programming by linear programming webmaster on october 26, 2015 in linear programming lp the northwest corner method or upper lefthand corner is a heuristic that is applied to a special type of linear programming problem structure called the transportation model, which ensures. The north west corner rule is a method for computing the basic feasible solution of a transportation problem, where the basic variables are selected from the north west corner i. The north west corner method usually provides the worst solution as it does not consider cost in the sense the solution found by nw is probably worse than those found by the other methods. North west corner method in an easy way from transportation problem duration. I 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. These are avail for subscribed users and they can get advantages anytime. The possible number of goods that can be assigned to the cell f 3, w 1 is 100 step 3. Module b transportation and assignment solution methods. North west corner rule matrix minimum method vogel approximation method. Other methods for obtaining an initial basic solution are the minimum cell cost method and the vogel approximation model. Start by selecting the cell in the most \ north west corner of the table.
These units are to be shipped to four warehouses w 1, w 2, w 3, and w 4 with requirement. 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. Northwest corner method mill 1 mill 2 mill 3 mill 4 silo1 10 x11 5 2 x12 10 20 11 silo 2 12 7 x22 5 9 x23 15 20 x24 5 silo 3 4 14 16 18 x34 10 working with the simplex method would require 12 variables, of which 6 are basic variables. The northwest corner rule is a method adopted to compute the initial feasible solution of the transportation problem. 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. Exhaust the supply of each row before moving down to the next row.
Northwest corner method transportation algorithm in linear programming the northwest corner method or upper lefthand corner is a heuristic that is applied to a special type of linear programming problem structure called the transportation model, which ensures that there is an initial basic feasible solution non artificial. The procedure for constructing an initial solution using the north west corner rule is as follows. Initial basic feasible solution of a transportation problem can be obtained by any of the following methods. During this time, the method of solving transportation problem was conducted by northwest corner nwc, leastcost lc, and vogel approximation vam. 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.
North west is an easy way to find a solution and works efficiently most of the time. Steps step 1 determine an initial basic feasible solution using any one of the three methods given below. Note that the distance measured from the northeast section corner to the north quarter corner is 40. Each and every value in the cell is considered as the cost per transportation. North west corner method the method starts at the northwest corner cell route of the tableau variable x11. 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. Next, we move to that cell where the next higher unit cost of transportation exists and assign the. Other methods can be found in standard texts on linear programming. Aug 14, 2014 north west is the direction of creativity, prosperity, luck and social circle and the ruler of this direction is moon. Initial tableau developed using northwest corner method. B4 module b transportation and assignment solution methods the northwest corner method with the northwest corner method, an initial allocation is made to the cell in the upper lefthand corner of the tableau i. North west corner rule the major advantage of the north west corner rule method is that it is very simple and easy to apply.
To achive optimum value, there are several methods, the steppingstone method, assignment method. Vogel approximation method improved version of leastcost method northwest corner method. Although the north west corner rule is the easiest, it is not the most attractive because our objective is not included in the process. The following is the flow chart showing the steps involved in solving the. In case of degeneracy problem, it can resolve with the corrective degeneracy method. We state some of the results of evans 6 which are needed in the sequel. The five methods differ in the quality of the starting basic solution they produce and better starting solution yields a smaller objective value. During this time, the method of solving transportation problem was conducted by northwestcorner nwc, leastcost lc, and vogel approximation vam. The vogels approximation method or vam is an iterative procedure calculated to find out the initial feasible solution of the transportation problem. May 26, 2011 dalam permasalahan model transportasi pada program linier, ada banyak cara yang dapat digunakan untuk menemukan solusi, salah satunya dengan metode northwest corner. The basic variables are selected from the north west corner of the transportation matrix. Some simple methods to obtain the initial basic feasible solution are 1. 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.
Abstractrecently a new method has been developed for arriving at an initial basic. North west corner rule nwc and least cost method lcm. Vam generally yields an optimum or close to optimum solution. The north west corner rule begins with an allocation at the top lefthand. Reduce the amount of corresponding supply or demand which is more by allocated.
Page 2 transportation problem north west corner method 3. Muhammad daniyal ashfaq 051 muhammad waleed aslam 014 javeria khalid hassan 047 shahrukh hussain 032 course instructor. They provide foundations for life on earth through ecological functions, by regulating the climate and water resources and by serving as habitats for plants and animals. The vogels approximation method in addition to the north west corner and intuitive lowest cost methods for setting an initial solution. Contoh soal dan jawaban model transportasi judul situs. North west corner rule for finding the initial basic feasible. Solving transportation problem with north west corner rule. We prepare quality content and notes for north west corner method nwcm topic under operations management theory and study material.
North west is the direction of creativity, prosperity, luck and social circle and the ruler of this direction is moon. The northwest corner method or upper lefthand corner is a heuristic that is applied to a special type of linear programming problem structure called the transportation model, which ensures that there is an initial basic feasible solution non artificial. A comparative study of initial basic feasible solution methods. Allocate as many units as possible to that cell without exceeding supply or demand. If user have some questions please contact me on 1. North west corner method page 1 page 2 transportation problem north west corner method page 3 group members.
Code for northwest corner rule in matlab codes and scripts downloads free. Subdivision of sections california state polytechnic. Find an initial basic feasible solution of the given transportation problem using northwest corner rule. Mechanical engineering explained official 48,540 views 5.
Pabrik produksi kota permintaan a 90 ton solo 50 ton b 60 ton kudus 110 ton c 50 ton tegal 40 ton. Feb 08, 2017 north west corner method transportation problem operation research, north west corner rule, north west corner method transportation problem, north west corner rule, north west corner method, north. Select the north west upper lefthand corner cell of the transportation table and allocate as many. The name northwest corner is given to this method because the basic variables are selected from the extreme left corner. One disadvantage of using north west corner rule to find initial solution to the transportation problem is that it does not take into account cost of transportation.
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. Northwest corner method transportation algorithm in lp. 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. Select the north west upper left hand corner of the transportation matrix and assign as many units as possible equal to the minimum between available supply and given demand. Initial basic feasible solution north west corner rule nwcr row minima method column minima method least cost method vogle approximation method vam 10. With the northwest corner method, an initial allocation is made to the cell in the upper lefthand corner of the tableau i. Furthermore, if someone lives in a home that has vastu dosh in north west direction then heshe is certain to have. In transportation problem, which method gives the best. Identify the cell at north west corner of the transportation matrix. The name north west corner is given to this method because the basic variables are selected from the extreme left corner.
Least cost method lcm, assignment help, transportation. First, we consider the cell when the unit cost of transportation is the least. Begin with upper left corner cell c1,w1 of the transportation table. The supply from o1 is 50 which is less than the demand for d2 i. Feb 19, 2012 phases of solution of transportation problem phase i obtains the initial basic feasible solution phase iiobtains the optimal basic solution 9. Transportation problem set 2 northwest corner method. Minimum transportation cost calculator using north west. We will consider only the north west corner rule of developing an initial solution. The northwest corner rule requires that we start in the upper lefthand corner and allocate units. Model transportasi dengan metode northwest corner mari berbagi. We already have discussed about modi method, matrix minimum method and integer programming problem in this series. The standard procedure for north west corner method is as follows.
Initial basic feasible solution of a transportation problem. Cara penghitungan biaya transportasi dengan menggunakan metode nwc sesuai dengan. We provide step by step north west corner method nwcm questions answers with 100% plagiarism free content. Furthermore, if someone lives in a home that has vastu dosh in north west direction. Intuitive method a costbased approach to finding an initial solution to a transportation problem. We present the five methods and an illustrative example is solved by these five methods. The first assignment is made in the cell occupying the upper left hand north west corner of the transportation table. North west corner rule for finding the initial basic. This method provides a better starting solution than the north west corner rule and least cost method.
Select the north west upper lefthand corner cell of the transportation table and allocate as. Transportation problem solution by using northwest corner method. Start from the new north west corner of the transportation table and repeat steps 1 an d2 until all the requirements are satisfied. Untuk lebih memperjelas, mari kita jawab soal beeikut. Regardless of the distance recorded by the original surveyor, the sixteenth corner is placed midway between the two original monuments in a regular section. Download code for northwest corner rule in matlab source. This code has been designed to solve the transportation problem with northwest corner rule. The demand for the first column is completely satisfied. The standard instructions for a transportation model are paraphrased below. North west corner method in an easy way from transportation problem.
The maximum feasible amount is allocated there, that is x11 min a1, b1. North west corner rule define the role of supply networks, q. Starting from the north west corner, we allocate 20 units to f 1 w 1. National forest inventory field manual 2 the forest resources assessment programme forests are crucial for the well being of humanity. May 26, 2011 metode north west corner metode northwest corner nwc adalah salah satu metode transportasi yang paling mudah dilakukan, tetapi hasilnya belum tentu optimal. The northwest corner rule the northwest corner rule requires that we start with the upper left hand cell or northwest corner of the transportation matrix and allocate units to shipping routes as follows. Its major disadvantage, however, is that it is not sensitive to costs and consequently yields. Metode ini merupakan metode untuk menentukan solusi awal yang pengalokasiannya berawal dari pojok kiri atas barat laut north west hingga ke pojok kanan bawah tenggarasouth east. May 09, 2010 we already have discussed about modi method, matrix minimum method and integer programming problem in this series. Given here is the minimum transportation cost calculator using north west corner method to determine the transportation cost. The supply at that cell is 40 and the demand is 30. Vogels approximation method unit cost penalty method northwest corner rule step 1 the first assignment is made in the cell occupying the upper lefthand northwest corner of the table.
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