The procedure for constructing an initial basic feasible solution selects the basic variables one at a time. 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. Model transportasi dengan metode northwest corner mari berbagi. Mechanical engineering explained official 48,540 views 5. Transportation problem set 2 northwest corner method. 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. Model transportasi dengan metode northwest corner mari. Find an initial basic feasible solution of the given transportation problem using northwest corner rule. Although the north west corner rule is the easiest, it is not the most attractive because our objective is not included in the process. Identify the cell at north west corner of the transportation matrix. 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. Exhaust the supply factory capacity of each row before moving down to the next row. The amount allocated is the most possible,subject tothe supply and demand constraints for that cell.
Test for optimality modified distribution method modi modified distribution method modi it is a method for computing optimum solution of a transportation problem. The name north west corner is given to this method because the basic variables are selected from the extreme left corner. Feb 19, 2012 phases of solution of transportation problem phase i obtains the initial basic feasible solution phase iiobtains the optimal basic solution 9. First, we consider the cell when the unit cost of transportation is the least. The standard procedure for north west corner method is as follows. We provide step by step north west corner method nwcm questions answers with 100% plagiarism free content. 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. Straight lines connecting sixteenth corners complete the job. The northwest corner rule is easy to use, but it totally ignores costs.
Mar 15, 2018 north west corner rule transportation problems. North west is an easy way to find a solution and works efficiently most of the time. North west corner rule the major advantage of the north west corner rule method is that it is very simple and easy to apply. We will consider only the north west corner rule of developing an initial solution. Allocate as many units as possible to that cell without exceeding supply or demand. North west corner rule for finding the initial basic. Use horizontal scrollbar to view full table calculation. 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. Page 2 transportation problem north west corner method 3. These units are to be shipped to four warehouses w 1, w 2, w 3, and w 4 with requirement. 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. 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.
North west corner rule for finding the initial basic feasible. We prepare quality content and notes for north west corner method nwcm topic under operations management theory and study material. The first assignment is made in the cell occupying the upper left hand north west corner of the transportation table. North west corner rule matrix minimum method vogel approximation method. Aug 14, 2014 north west is the direction of creativity, prosperity, luck and social circle and the ruler of this direction is moon. Initial basic feasible solution of a transportation problem. The vogels approximation method vam is an iterative procedure for computing a basic feasible solution of a transportation problem. One disadvantage of using northwest corner rule to find. 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. The northwest corner rule requires that we start in the upper lefthand corner and allocate units. During this time, the method of solving transportation problem was conducted by northwestcorner nwc, leastcost lc, and vogel approximation vam. Minimum transportation cost calculator using north west. These are avail for subscribed users and they can get advantages anytime.
In transportation problem, which method gives the best result. Vam generally yields an optimum or close to optimum solution. Initial basic feasible solution north west corner rule nwcr row minima method column minima method least cost method vogle approximation method vam 10. Begin with upper left corner cell c1,w1 of the transportation table. 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. Transportation problem solution by using northwest corner method. Given here is the minimum transportation cost calculator using north west corner method to determine the transportation cost. Like least cost method, here also the shipping cost is taken into consideration, but in a relative sense. Northwest corner method transportation algorithm in lp. 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. Note that the distance measured from the northeast section corner to the north quarter corner is 40. North west corner method the method starts at the northwest corner cell route of the tableau variable x11.
North west is the direction of creativity, prosperity, luck and social circle and the ruler of this direction is moon. We state some of the results of evans 6 which are needed in the sequel. The northwest corner rule is a method adopted to compute the initial feasible solution of the transportation problem. The possible number of goods that can be assigned to the cell f 3, w 1 is 100 step 3. The vogels approximation method or vam is an iterative procedure calculated to find out the initial feasible solution of the transportation problem. Start from the new north west corner of the transportation table and repeat steps 1 an d2 until all the requirements are satisfied. 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. Dalam metode nwc ini, sumber dan lokasi tujuan diurutkan dari sisi kiri ke kanan dan dari atas ke bawah dalam peta data matriks. North west corner method page 1 page 2 transportation problem north west corner method page 3 group members. Untuk lebih memperjelas, mari kita jawab soal beeikut. Start by selecting the cell in the most \ north west corner of the table. Solving transportation problem with north west corner rule. Furthermore, if someone lives in a home that has vastu dosh in north west direction.
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. Muhammad daniyal ashfaq 051 muhammad waleed aslam 014 javeria khalid hassan 047 shahrukh hussain 032 course instructor. During this time, the method of solving transportation problem was conducted by northwest corner nwc, leastcost lc, and vogel approximation vam. Tentukan total biaya transportasi dengan penentuan pemecahan awal solusi awal menggunakan. The name northwest corner is given to this method because the basic variables are selected from the extreme left corner.
National forest inventory field manual 2 the forest resources assessment programme forests are crucial for the well being of humanity. To achive optimum value, there are several methods, the steppingstone method, assignment method. If user have some questions please contact me on 1. 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. North west corner method in an easy way from transportation problem duration. Metode north west corner metode northwest corner nwc adalah salah satu metode transportasi yang paling mudah dilakukan, tetapi hasilnya belum tentu optimal. Since the supply from row o1 is completed cancel the row o1. Transportation problem solution by using northwest corner. Code for northwest corner rule in matlab codes and scripts downloads free. 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. The north west corner rule is a method adopted to compute the initial feasible solution of 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. In transportation problem, which method gives the best. 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. We already have discussed about modi method, matrix minimum method and integer programming problem in this series. The supply from o1 is 50 which is less than the demand for d2 i. Dalam permasalahan model transportasi pada program linier, ada banyak cara yang dapat digunakan untuk menemukan solusi, salah satunya dengan metode northwest corner. The supply at that cell is 40 and the demand is 30. According to north west corner method, o1, d1 has to be the starting point i. 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. Exhaust the supply of each row before moving down to the next row. Module b transportation and assignment solution methods.
Initial basic feasible solution of a transportation problem can be obtained by any of the following methods. 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. With the northwest corner method, an initial allocation is made to the cell in the upper lefthand corner of the tableau i. The maximum feasible amount is allocated there, that is x11 min a1, b1. Find the basic feasible solution bfs using north west corner rule. North west corner rule define the role of supply networks, q. Cara penghitungan biaya transportasi dengan menggunakan metode nwc sesuai dengan. Select the north west upper lefthand corner cell of the transportation table and allocate as. 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. 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. Steps step 1 determine an initial basic feasible solution using any one of the three methods given below. We present the five methods and an illustrative example is solved by these five methods. 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.
Other methods can be found in standard texts on linear programming. Starting from the north west corner, we allocate 20 units to f 1 w 1. Subdivision of sections california state polytechnic. 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.
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. May 09, 2010 we already have discussed about modi method, matrix minimum method and integer programming problem in this series. 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. North west corner method in an easy way from transportation problem. There are three common methods to find an initial basic feasible solution to the transportation problems. Solving transportation problem using objectoriented model. Select the north west upper lefthand corner cell of the transportation table and allocate as many. Least cost method lcm, assignment help, transportation. The name north west corner is because the basic variables are selected from the extreme left corner. Assign the maximum amount to this cell that is allowable based on the requirements and the capacity constraints. Initial tableau developed using northwest corner method. Matlab code for rolling style analysis in portfolio performance analysis. The procedure for constructing an initial solution using the north west corner rule is as follows. Contoh soal dan jawaban model transportasi judul situs.
This code has been designed to solve the transportation problem with northwest corner rule. The demand for the first column is completely satisfied. 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 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. Its major disadvantage, however, is that it is not sensitive to costs and consequently yields. Vogel approximation method improved version of leastcost method northwest corner method. Abstractrecently a new method has been developed for arriving at an initial basic.
The north west corner rule begins with an allocation at the top lefthand. The standard instructions for a transportation model are paraphrased below. 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. This method provides a better starting solution than the north west corner rule and least cost method.
The following is the flow chart showing the steps involved in solving the. Download code for northwest corner rule in matlab source. Other methods for obtaining an initial basic solution are the minimum cell cost method and the vogel approximation model. A comparative study of initial basic feasible solution methods. O1, d2 and allocate the minimum among the supply for the respective column and the rows. 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.
Reduce the amount of corresponding supply or demand which is more by allocated. 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. Intuitive method a costbased approach to finding an initial solution to a transportation problem. 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. North west corner rule nwc and least cost method lcm. The vogels approximation method in addition to the north west corner and intuitive lowest cost methods for setting an initial solution. Each and every value in the cell is considered as the cost per transportation. In case of degeneracy problem, it can resolve with the corrective degeneracy method. Next, we move to that cell where the next higher unit cost of transportation exists and assign the. Regardless of the distance recorded by the original surveyor, the sixteenth corner is placed midway between the two original monuments in a regular section. Furthermore, if someone lives in a home that has vastu dosh in north west direction then heshe is certain to have. The five methods differ in the quality of the starting basic solution they produce and better starting solution yields a smaller objective value.
1295 1558 1665 324 151 765 332 682 1293 922 740 57 1124 849 418 389 687 451 1466 1105 1679 262 1189 1204 1178 339 302 1110 740 683 1426 1539 1531 557 200 1197 1073 523 645 1078 1089 18 952 1072 516