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