Pdf solving transportation problem using vogels approximation. Hitung nilai pinalti selisih 2 ongkos terkecil pada semua baris dann kolom. The amount allocated is the most possible,subject tothe supply and demand constraints for that cell. Only transportationtype problems and models will be discussed in any detail. Ed dansereau linear programming transportation problem and. Northwest corner, least cost method or vogels approximation method. Metodevam vogels approximation method pada sesi ini hanya akan dibahas mengenai metode transportasi dengan metode stepping stone, sedangkan metode modi dan vam akan dibahas pada sesi tulisan yang lain. A new method to solve transportation problem harmonic mean. Practically, variables of transportation problems may vary that emerges more than single.
The two methods for solving a transportation model are the steppingstone method and the modified distribution method also known as modi. Watch this video first and then move on to stepping stone and modi. The initial basic feasible solution was obtained using the vogels approximation method and the stepping stone method was used to test and solve for optimality. Stepping stone method it is a method for computing optimum solution of a transportation problem. Nov 07, 2012 the stepping stone method is the second video in the series and is a good teaching tool to aid in the understanding of how to reach an optimal solution. Dantzig 1963 used the simplex method in the transportation problem as the primal simplex transportation method.
Module b transportation and assignment solution methods. In this section, we provide another example to boost your understanding. This method typically gets you closer to a solution than the northwest corner method. Journal of operational research society 406 581 590. Pdf optimal solution for fuzzy transportation problem using. Stepping stone method is one of the method used to find the optimal solution for the transportation problem. In this paper a new algorithm namely fuzzy stepping stone method is proposed for finding a fuzzy optimal solution for a fuzzy transportation problem where the transportation cost, supply and. The stepping stone method is the second video in the series and is a good teaching tool to aid in the. If you continue browsing the site, you agree to the use of cookies on this website. Stepbystep guide on how to solve a balanced minimization transportation problem. A procedure for solving a transportation problem based on a simplification of the simplex method as applied to the constraint structure that defines a transportation problem. It starts with an initial basic feasible solution and then evaluates, for every nonbasic variable, whether an improved solution can be obtained by introducing one of the.
Solving a balanced minimization transportation problem youtube. Jika matriks solusi awal menggunakan metode vam dan penyelesaian optimalnya menggunakan stepping stone, dapat dilakukan sebagai berikut. When applying it, we test each unused cell, or square, in the transportation. Progressing toward an optimal solution after having constructed an initial basic feasible solution, our next task is to progress toward an optimal solution. The matlab coding method is better than analytical method for solving tp. We need to work on step by step procedure to solve the transportation problem. Again, we will use the previous example to illustrate the method. The stepping stone method the stepping stone methodwill help us move from an initial feasible solution to an optimal solution. Pdf the issue of transportation is a linier program. Again, we will describe two methods for doing this. The transportation tableau associated with the basic feasible. For clarity of exposition, consider the following transportation problem. Mar 04, 2019 thus, the stepping stone method is a procedure for finding the potential of any nonbasic variables empty cells in terms of the objective function.
Transportation method of linear programming definition. Application of stepping stone method for an optimal solution. Nov 14, 20 stepping stone method to find the optimum solution in a transportation problem slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Transportation problem stepping stone method stepping stone method this is a one of the methods used to determine optimality of an initial basic feasible solution i. 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. May 03, 20 transportation problem stepping stone method pamantasan ng lungsod ng maynilagraduate school of engineeringgem 805 optimization techniques 2. The cells at the turning points are referred to as stepping stones. We shall illustrate this with the help of an example. The stepping stone method of explaining linear programming. The stepping stone method for explaining linear programming. The stepping stone and the modified distribution method modi stepping stone.
It has manufacturing plants at places a, b and c with daily production of 50, 40 and 60 units respectively. Thus, well have to evaluate each unoccupied cell represents unused routes in the transportation table in terms of an opportunity of reducing total transportation cost. Stepping stone method to find the optimum solution in a transportation problem slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. A transportation problem can be solved by two methods, using a simplex method and b transportation method.
For clarity of exposition, consider the following transportation problem example 1. Procedure for finding optimal transportation tableau. Stepping stone method this is a one of the methods used to determine optimality ofan initial basic feasible solution i. Stepping stone number of basic allocated cells must be s.
Northwest corner rule, least cost or vogels approximation the method is derived from the analogy of crossing a pond using stepping stones. Transportation problem using stepping stone method and its applications. Only transportation type problems and models will be discussed in any detail. Aug 18, 2017 stepbystep guide on how to solve a balanced minimization transportation problem. If this indicates a better solution is possible, use the steppingstone path to move from this solution to improved solutions until an optimal solution is found. Stepping stone method transportation problem mathematical. Mat lab commands, modi method, transportation problem, northwest corner method, least cost method, vogels approximation method. With the help of this method, we come to know whether the solution is optimal or not. The transportation method of linear programming is applied to the problems related to the study of the efficient transportation routes i. Stepping stone method examples, transportation problem.
Northwest corner rule, leastcost or vogels approximation the. Pdf balance an unbalanced transportation problem by a. Solving a balanced minimization transportation problem. The stepping stone method is the second video in the series and is a good teaching tool to aid in the understanding of how to reach an optimal solution. To achive optimum value, there are several methods, the steppingstone method, assignment method. In this work, a transportation problem of the distribution of big treat bread happy chef was solved using the transportation tableau approach.
This model gives us good result in transportation problem. One of these tools, which has already proved its worth in practical applications, is linear programming. During this time, the method of solving transportation problem was conducted by northwestcorner nwc, leastcost lc, and vogel approximation vam. Stepping stone method transportation problem free download as pdf file. Stepping stone method calculator transportation problem. It is not the purpose of this article to explore the full ramifications of these research developments or even to explore the general field of linear programming. The new global approach to a transportation problem. The series of steps are involved in checking the optimality of the initial feasible solution using the stepping. The two methods for solving a transportation model are the stepping stone methodand the modified distribution method also known as modi. This method is designed on the analogy of crossing the pond using the stepping stone. What is transportation method of linear programming.
Given the s 3 supply and d 3 demands tableau below, first create feasible tableau by using the northwest, vam, minimum cell, or russell method. It is used to evaluate the cost effectiveness of shipping goods via transportation routes not currently in the solution. The stepping stone method is used to check the optimality of the initial feasible solution determined by using any of the method viz. Suplimental chapter c pages 10 to 12 see moodle for pdf file. A company has three factories a, b, and c with production capacity 700, 400, and 600 units per week respectively. When applying the stepping stone method, we test each unused cell in transportation modeling, what has as its purpose to summarize all relevant data and to keep track of algorithm computations. Transportation problem using stepping stone method. In an s x d tableau, the number of basic allocated cells. Transportation problem in the previous section, we used the stepping stone method to find the optimal solution of a transportation problem. Find an initial basic feasible solution using any one of the three methods nwcm, lcm or vam. Transportation problem least cost method to find the initial feasible solution video. Thus, the stepping stone method is a procedure for finding the potential of any nonbasic variables empty cells in terms of the objective function. Through stepping stone method, we determine that what effect on the transportation cost would be in case one unit is assigned to the empty cell.
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