Vogel approximation method examples, transportation problem. Like least cost method, here also the shipping cost is taken into consideration, but in a relative sense. From the investigations and the results given in table 1, it is clear that mvam is better than mmm and vam for solving the fuzzy transportation problem. Pdf modified vogels approximation method for solving. Approximation methodvam and to find the optimality. View notes vogels approximation method lecture 3 from mgtop 340 at washington state university. Transportation problem, vogels approximation method vam. Pdf an efficient alternative approach to solve a transportation. Therefore, the vogels method solution is the same as the leastcost method solution. Vogels approximation method vam matlab central mathworks. Transportation problemvogels approximationvamnorthwest cornerleast costusing simple method. This gives us the tiebreaker mechanism currently specified for this task.
Vogel s approximation method vam is the very efficient algorithm to solve the transportation problem for feasible solution which is nearer. 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. In operation research, obtaining significant result for transportation problems is very important nowadays. A improved vogels approximatio method for the transportation problem article pdf available in mathematical and computational applications 162. Transportation problem in the previous section, we used vogel approximation method unit cost penalty method to solve a transportation problem.
Also, the solution of a fuzzy transportation problem given by mvam is very near to the optimal solution. For our prototype example, vogels method solution is 1 2 3. In this section, we provide another example to enhance your knowledge. View notes vogels approximation from stat stat3606 at hku. A variant of vam was proposed by using total opportunity cost and regarding alter native allocation costs. Vogels approximation method vam business mathematics and. The modi and vam methods of solving transportation problems. With the northwest corner method, an initial allocation is made to the cell in the upper lefthand corner of the tableau i. The vogel s approximation method or vam is an iterative procedure calculated to find out the initial feasible solution of the transportation problem. Vogels approximation method lecture 3 34 operations. Vogels approximation method for solving an unbalanced.
Because of this, it can often provide considerable time savings over other methods for solving transportation problems. Juman and others published an efficient alternative approach to solve a transportation problem find. A new approach to determine penalty cost for better feasible solution of transportation problem article pdf available january 2014 with 4,926 reads. Logicaldevelopmentofvogelsapproximationmethodldvaman. For the love of physics walter lewin may 16, 2011 duration. The amount allocated is the most possible, subject to the supply and demand constraints for that cell.
Vogels approximation method vam modified distribution method modi. Logicaldevelopmentofvogelsapproximationmethodldvamanapproachtofindbasicfeasiblesolutionoftransportationproblem. In this study, vogel s approximation method vam which is one of well known transportation methods in the literature was investigated to obtain more efficient initial solut ions. Vogels approximation ch 4 transportation problem vogels. Vogel approximation method the vogel approximation method unit cost penalty method is an iterative procedure for computing a basic feasible solution of a transportation problem. Illustration of a numerical example problem by new. The document vogels approximation method vam business.
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