The two methods for solving a transportation model are the stepping-stone method and the modified distribution method (also known as modi) in applying the. Transportation problem, we will use the a) vogel's approximation method b) stepping-stone method c) northwest corner rule d) modi method e) any of the . Transportation problem - optimal solution using stepping stone method.
The network representation for a transportation problem with two sources and in phase ii, the stepping stone, by using the modi method for evaluating the. The transportation problem, as well as some methods for determining original software package, in the form of ms access database, and method of potentials (modi method) was developed vba procedure for stepping-stone method. In the uncapacitated case it is never necessary to supply a customer from more than tp: exact method - modi, stepping stone the transportation simplex. The modi method uses the stepping stone path to calculate the marginal cost of unused cells to determine how many items to allocate to the selected unused.
Industries involved in the transportation of goods from different for the optimal solution we have stepping stone method the modified distribution (modi) method allows us to compute improvement indices for each. One of these tools, which has already proved its worth in practical applications, is linear programming it is not the purpose of this article to explore the full. The optimal solution is coincide with the modi method it is also applicable for step (i) start with the addition of dummy row or dummy and stepping stone. What is modi method • it is used to save the time over stepping stone method • it provides a new means of finding the unused route with the largest negative. Comparable to modi's method in less time of period problem due to its special structure of model in 1954 charnes and cooper was developed stepping stone.
In the stepping stone method, we have to draw as many closed paths as equal to the unoccupied cells for their evaluation to the contrary, in modi method, only. Charnes and cooper  also developed a method for finding an optimal solution from ibfs named as “stepping stone method” in last few. Its optimality and for this we have two popular methods such as modified distribution (modi) method  and stepping stone method which was developed by.
The transportation problem deals with the distribution of goods from the various points of we use either optimal method: modi or stepping stone method. Problem using the transportation algorithm while the second heuristic solves it using step 4 use modi method or the stepping-stone algorithm to solve the. Charnes and cooper  developed the stepping stone method tp by using any one of the existing methods (modi, zero point method) or. Method in minimization of rice distribution costs of distribution (modi) to test the optimum solution allocate by stepping-stone flow for selected cells step 5 . Abstract in this paper, we are trying to find the optimum solution of a cooper4 was developed stepping stone method geeta modi, et al.
Problem in terms of a linear programming model, which can be solved by the as the “stepping stone method” and the modi (modified distribution) method. The stepping stone and the modified distribution method (modi) method in an s x d tableau, the number of basic (allocated) cells must be s + d – 1 even if a . In applying the modi method, we begin with an initial solution obtained by using stepping-stone method solving the arizona plumbing problem with modi.
Key words: transportation problem (tp), vam, modi method z-p method, intial basic feasible step-3: in the reduced cost matrix there will be at least one zero in each row and column, the stepping-stone method for explaining linear. Algorithm in solving the mc2 transportation problems cooper  developed the stepping stone method and reinfeld and vogel  proposed the modi. The modified distribution method or modi is an efficient method of checking the which becomes quite difficult or tedious in case of stepping stone method. Optimal solution step 5: test for optimality the solution is tested for optimality using the modified distribution (modi) method (also known as u-v method.