Charnes and cooper developed the stepping stone method which provides an alternative way of determining the simplex method information. In this paper, a new algorithm is proposed to find an initial basic feasible solution for the transportation problems. Now a days transportation problem has become a standard application for industrial organizations having several manufacturing units, warehouses and distribution centers. Achieving community objectives through infrastructure design. The balanced model will be used to demonstrate the solution of a transportation problem. Typicalwellknown transportation methods include the. Transportation problem set 6 modi method uv method. Dantzig and thapa used the simplex method to the transportation problem as the primal simplex transportation method. Strategic analysis of the dairy transportation problem.
A comparative study is also carried out by solving a good number of transportation problems which shows that the proposed method gives better result in comparison to the other existing heuristics available in the literature. We need to work on step by step procedure to solve the transportation problem. Stepping stone method examples, transportation problem. In this section, we provide another example to boost your understanding. Network representation and mathematical model of transportation problem generally the transportation model is represented by the network in figure 1. Minimum matrix method mmm matrix minimum method is a method for computing a basic feasible solution of a transportation problem where the basic variables are chosen according to the unit cost of transportation. Also introduced is a solution procedure for assignment problems alternatively called. How to solve transportation problem using the voge.
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. This code has been designed to solve the transportation problem with northwest corner rule. Stepping stone method calculator transportation problem. 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. Stepping over method without symbols stack overflow. Typicalwellknown transportation methods include the stepping stone method 2 charnes and. Ops 301 chapter c transportation models flashcards quizlet. This method is designed on the analogy of crossing the pond using the stepping stone. The problem will require a dummy supply with a capacity of 10 units. 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.
He has been a professor of civil engineering and the director of the transportation and infrastructure program at the illinois. For obtaining an optimal solution for transportation. A new method for solving fuzzy transportation problems using. Jan 12, 2018 stepping stone method this is a procedure to be followed to find improved solution and the optimal solution in turn of a transportation problem after getting its initial solution by applying.
Various methods are available to solve the transportation problem to obtain an optimal solution 16. Determine an initial basic feasible solution using any one of the following. Shores the transportation problem and the vogels approximation method 3. There are two phases to solve the transportation problem. The stepping stone method of explaining linear programming. Stepping stone method, assignment help, transportation. Apr 19, 2018 this code has been designed to solve the transportation problem with northwest corner rule. Destinations c and d must each receive 5 units less than they require. Transportation engineering is taught in the junior year as a required course for all civil engineering students.
The cells at the turning points are referred to as stepping stones. Project cost cost escalation, changes to project scope. Procedure for finding optimal transportation tableau. Use horizontal scrollbar to view full table calculation. Problembased approach to teaching transportation engineering. Each cell in the tableau represents the amount transported from one source to one des. Transportation problem in the previous section, we used the stepping stone method to find the optimal solution of a transportation problem. With the help of this method, we come to know whether the solution is optimal or not. An initial basic feasible solution ibfs for the transportation problem can be obtained by. A new method for solving transportation problems considering. Stepping stone number of basic allocated cells must be s. In this paper we are changing the transportation problem in linear programming problem and solving this. Problem here the transportation problem can be stated as a linear programming problem as. The two methods for solving a transportation model are the steppingstone method and the modified distribution method also known as modi.
Optimal solution of transportation problem by stepping step. The problem will require a dummy demand with a capacity of 10 units. Sep 07, 2016 optimal solution of transportation problem by stepping step method. A specialpurpose solution procedure 2 transportation, assignment, and transshipment problems a network model is one which can be represented by a set of nodes, a set of arcs, and functions e. In the first phase, the initial basic feasible solution has to be found and the second phase involves. Transportation problem stepping stone method pamantasan ng lungsod ng maynilagraduate school of engineeringgem 805 optimization techniques 2. To present the dtp we di erentiate between the theoretical transportation plan and the daily transportation plan. Transportation problems transportation problems pearson.
Lets say that we want to solve a classic transportation problem without capacities using the stepping stone method. Solving transportation problem with north west corner rule. Minimise total cost z ij m i n j cijx 1 1 subject to i n j. Transportation method when transportation method is employed in solving a transportation problem, the very initial step that has to be undertaken is to obtain a feasible solution satisfying demand and supply requirement lu 2010. Stepping stone method this is a procedure to be followed to find improved solution and the optimal solution in turn of a transportation problem after getting its initial solution by applying. Surapati and roy 11, wahead and lee 12 and zangibadi and maleki presented a fuzzy goal programming approach to determine an optimal solution for the multiobjective transportation problem etc. What is the restriction matrix used for in the stepping stone. Optimal solution of transportation problem by stepping step method. Stepping stone method is one of the method used to find the optimal solution for the transportation problem. The stepping stone and the modified distribution method modi stepping stone. In the video, i have explained solving transportation problem using stepping stone. Stepping stone method this is a one of the methods used to determine optimality ofan initial basic feasible solution i. Northwest corner rule, least cost or vogels approximation the method is derived from the analogy of crossing a pond using stepping stones.
If you continue browsing the site, you agree to the use of cookies on this website. The stepping stone method is a way to evaluate the current solution of a transportation model to see if it is. In the stepping stone method, we have to draw as many. To find the area under the graph of fx and above the xaxis between x aand x b how. The problem is unbalanced and cannot be solved by the transportation method. 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. The transportation problem is a special type of linear programming problem, where the objective is to. A 14 a transportation problem with a total supply of 500 and a total demand of 400 will have an optimal solution that leaves 100 units of supply unused. Programming and implementing projects using stpda funds. How to solve transportation problem using the mini. Transportation problem using stepping stone method. Dantzig 3 formulated the transportation problem as linear programming problem and also provided the solution method. 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. If user have some questions please contact me on 1.
Northwest corner rule, leastcost or vogels approximation. If a state dot assumes those responsibilities for a project, the state dot is treated as a federal agency in any nepa litigation involving that project. The second iteration of the steppingstone method 49. There are msources and destn inations, each represented by a node. Find an initial basic feasible solution of the given transportation problem using northwest corner rule. The java programming language, developed by sun microsystems, is a language aimed at allowing highperformance, virtual application development. Optimization techniques for transportation problems of three. This video explains how to apply stepping stone method for finding an optional solution in transportation problem. Transportation and assignment solution methods student portal. The demand for the first column is completely satisfied. In industry, people are concerned with efficiency and. How to solve transportation problem using the nort. Transportation 22 stepping stone method part 1 of 3. Transportation problem in linear programming stepping stone method stepping stone method after computing the initial solution by using any of the three methods explained above, the solution needs to be tested to see whether the solution is optimum or not, by using the stepping stone method.
In case of degeneracy problem, it can resolve with the corrective degeneracy method. Optimization techniques for transportation problems of. Stepping stone method in transportation problem in hindi lecture. Find a flow which satisfies the demand of all b nodes at minimal cost. An assignment problem can be regarded as a special case of transportation problems of the hitchcock type defined above, in which mn atbjl for every i and j. The theoretical plan is the basis for creating the contracts with transporters and determining the cost, while the daily plans accounts for dayto. Mar 15, 2016 a read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. He has been a professor of civil engineering and the director of the transportation and infrastructure program at the illinois institute of technology im, chicago, since 1990. A modification of vogels approximation method through the use of heuristics 4 by d. Northwest corner rule, leastcost or vogels approximation the. The rest of the solution procedure for this transportation problem proceeds in the same manner as what was done earlier using the steppingstone method. Transportation problem initial feasible solution what is the best skype alternative in the saudi a.
Level of engineering analysis greater investigation generally means fewer unknowns. The tableau for our wheat transportation model is shown in table b1. In an s x d tableau, the number of basic allocated cells. Several methods will be used in this paper to obtain this initial feasible problem. A method for solving the transportation problem 6 august 2018 journal of statistics and management systems, vol. The series of steps are involved in checking the optimality of the initial feasible solution using the stepping. Use rectangles to approximate the area curved sides math 103 rimmer 5. Problem based approach to teaching transportation engineering. 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. When an analyzer is routinely calibrated with a calibration span of less than or equal to 20 ppmv, the manufacturers stability test mst is required table 7e5 of the method prior to testing and documentation will be included in the test report.
Dot for purposes of compliance with nepa and related laws. Setting up a transportation problem the executive furniture corporation. Solved the stepping stone method is a way to evaluate the. The simplex method is not suitable for the transportation problem especially for large scale transportation problem due to its special structure of the model in 1954 charnes and cooper was developed stepping stone method for the efficiency reason. Programming and implementing projects using stpda funds description the purpose of this procedure is to outline the process for the programming and administration of surface transportation direct attributable stpda projects by local entities. Transportation models are solved manually within the context of a tableau, as in the simplex method.
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