M et al2016 in their paper a new approach to solve transportation problems discussed a solution for solving the initial basic feasible solution of a transportation problem which. In \a new approach to solve transportation problem, a new technique using allocation table method atm was discussed to get initial basic feasible solution by mollah mesbahuddhin ahmed et. A new method for the optimum solution of a transportation problem. Hindi transportation problem modi method uv method optimal.
Mar 15, 2016 because of this, it can often provide considerable time savings over other methods for solving transportation problems. Here is the video about transportation problem in modi method u v method using north west corner method, optimum solution in operation research, with sample problem in. The modified distribution method is an improvement over the stepping stone method since. A transportation problem is one of the most important applications of linear programming problem. Related works this is work is alternative for existing modi modified distribution method method 3 in which the number of iteration is minimized. Transportationproblem problem is often an integer programme as the quantity of good delivered along the arcs must be integer.
Each cell in the tableau represents the amount transported from one source to one des. Transportation models are solved manually within the context of a tableau, as in the simplex method. Test for optimal solution to a transportation problem learning objective. Supply 911 20 3 4 6 9 8 1022 2 8 1 5 30 7 11 20 9 40 6 3 15 7 2 6 1 9 14 16 demand 40 6 8 18 6 total78. Transportation algorithm for minimization problem modi method step 1. The classic statement of the transportation problem uses a matrix with the rows representing sources and columns representing destinations. To get an optimal solution for the transportation problem, we use the modi method modified distribution method. Moreover sultan 1988 and sultan and goyal 1988 studied initial basic feasible solution and resolution of degeneracy in transportation problem. It deals with sources where a supply of some commodity is available and destinations where the commodity is demanded. Here is the video about unbalanced transportation problem by using northwest corner cell method, least cost cell method and vogels approximation method. Charnes and cooper 1 developed the stepping stone method, which provides. Pdf transportation problem in operational research download. Method in section 3 is same as the optimal value obtained by modi method. A new approach for solving solid transportation problems.
The amount allocated is the most possible,subject tothe supply and demand constraints for that cell. Transportation problem modi method u v method with optimal. If you continue browsing the site, you agree to the use of cookies on this website. In this paper, we propose a new method using the concept of zero point method 10 for finding an optimal solution to a stp.
Transportation problem modi method uv method optimal solution video lecture in hindi. Lecture notes on transportation and assignment problem bbe h qtm paper of delhi. The optimal solution is coincide with the modi method. Test for optimal solution to a transportation problem using.
Solution of the transportation model b2 module b transportation and assignment solution methods. The method is also illustrated with numerical examples. Taking the initial bfs by any method discussed above, this method find the optimal solution to the transportation problem. Transportation problem set 6 modi method uv method there are two phases to solve the transportation problem.
Modi calculator transportation problem using modi method. The modi modified distribution method allows us to compute improvement indices quickly for each unused square without drawing all of the closed paths. The least cost method is considered to produce more optimal results than the northwest corner because it considers the shipping cost while making the allocation, whereas the northwest corner method only considers the availability and supply requirement and allocation begin with the extreme left corner, irrespective of the shipping cost. Because of this, it can often provide considerable time savings over other methods for solving transportation problems. 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. However, if the supply, demand and variable bounds are integer, then the transportation problem will have naturally integer solutions. Modi provides a new means of finding the unused route with the largest. Modi uv method optimal solution in transportation problem. Use of linear programming to solve transportation problem in. Pdf a new approach to solve transportation problems. Conclusion thus it can be concluded that asm method provides an optimal solution directly, in fewer iterations, for the transportation problems.
Unbalanced transportation problemnorthwestleast costvam. On optimal solution of a transportation problem 6205 after applying the least cost method, for initial basic feasible solution, the allocations are as follows. Here is the video about transportation problem in modi methodu v method using north west corner method, optimum solution in operation. These types of problems can be solved by general network methods, but here we use a specific transportation algorithm. Vam is an improved version of the least cost method. Modi method transportation algorithm for minimization problem. The transportation problem in operational research is concerned with finding the minimum cost of transporting a single commodity from a given number of sources e. The modi and vam methods of solving transportation problems. Here is the video about transportation problem in modi method u v method using north west corner method, optimum solution in operation research, with sample problem in simple manner. It is worth noting that sometimes problems that are solved using the transportation method have nothing to do with an actual movement.
Introduction the transportation problem involves finding the lowestcost plan for distributing stocks of goods or supplies from. In this paper, an optimal solution of transportation programming problem has been considered. In this method, we need not to find an initial basic feasible solution to the given stp and dont use the modi. Scribd is the worlds largest social reading and publishing site. Mat lab commands, modi method, transportation problem, northwest corner method, least cost method, vogels approximation method. Oct 25, 2017 maths test for optimal solution to a transportation problem using. Few researchers have tried to give their alternate method for over coming major obstacles over modi and ss method. Module b transportation and assignment solution methods. Jun 17, 2017 first watch initial basic feasible solution by vogels approximation method vam s. In this class, we continue the discussion on the modified distribution. This means that any solution found using linear programming will have integer values. Least cost method vogels approximation method northwest corner method 2. For the simplicity point of view of this method is that any one can easily apply.
This tutorial deals with two techniques for solving transportation problems. The modified distribution method, also known as modi method or u v method provides a minimum cost solution to the transportation problem. A new method for the optimum solution of a transportation problem 6neetu m. Dec 28, 2011 modi method slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising.
The video explains the uv method on an excel sheet so that you can learn easily. This modi calculator calculates the minimum transportation cost using the modi modified distribution method. Pdf the modi modified distribution method allows us to compute improvement indices quickly for each unused square without drawing all. Revised distribution method of finding optimal solution for. Test for optimality modified distribution method modi modified distribution method modi it is a method for computing optimum solution of a transportation problem. Intuitive method a costbased approach to finding an initial solution to a. Operations research management science is a scientific approach to decision making that seeks to best design and operate a system, usually under conditions requiring the allocation of scarce resources. The basic solution principle in a transportation problem is to determine whether. Transportation problem in the previous section, we provided the steps in modi method modified distribution method to solve a transportation problem. The tableau for our wheat transportation model is shown in table b1.
Use of linear programming to solve transportation problem in quantitative techniques for management use of linear programming to solve transportation problem in quantitative techniques for management courses with reference manuals and examples pdf. Modi method of solving transportation problem answers. Solve the transportation problem using modi method and calculate the total minimum cost and generate iterations for your transportation problem using the below modi calculator. Introduction transportation problem is famous in operation research for its wide application in real life.
The new global approach to a transportation problem. To obtain initial basic feasible solution ibfs, the work shown here is donewith vogel s approximation method vam. This model gives us good result in transportation problem. Pdf transportation problem in operational research. If not add a dummy column or dummy row as the case may be and balance the problem.
Transportation problem example, in detail warehouses a, b, and c have 18, 25, and 12 units of a certain commodity, respectively. The modi and vam methods of solving transportation problems tutorial outline modi method how to use the modi method solving the arizona plumbing problem with modi vogels approximation method. Determine an initial basic feasible solution by vogels technique or by any of the known. The linear programming model for this problem is formulated in the equations that follow. Online tutorial 4 the modi and vam methods of solving transportation problems tutorial outline modi method how to use the modi method solving the arizona plumbing problem with modi vogels approximation method. The transportation method although the transportation problem can be solved as an ordinary linear programming problem, its special structure can be exploited, resulting in a specialpurpose algorithm, the socalled transportation method. Dual of the transportation problem and the optimality of the modi. Keywords transportation problem, transportation cost, initial basic feasible solution, optimal solution 1. Transportation problem, optimal solution, ibfs, degeneracy. There are two phases to solve the transportation problem. 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. Solving transportation problem are special type of lp problem, they can be solved by the simplex method because the coefficients in the functional constraints are 0 or 1, transportation problems are solved far more quickly using transportation simplex method other distributionnetwork problems are solved using the network simplex method. Transportation problem set 6 modi method uv method. Make the transportation table entering the origin capacities a i, the cost c ij and destination requirement b j.
Transportation problems transportation problem network representation general lp formulation transportation simplex method. Lecture notes on transportation and assignment problem bbe. In the first phase, the initial basic feasible solution has to be found and the second phase involves optimization of the initial basic feasible solution that was obtained in the first phase. The transportation algorithm is the simplex method specialized to the format of table it involves.
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