A feasible solution to a transportation problem is basic if and only if the corresponding cells in the transportation table do not contain a loop to find an initial basic feasible solution we apply: the north-west corner rule. The optimal solution, we have to explore a promising initial basic feasible solution, so that we can teach the optimal solution to the problem with minimum number of iterations 169. Initial basic feasible solution methods and optimal methods there are several initial basic feasible solution methods and optimal methods for solving transportation problems satisfying supplying and demand.
Must be met in solving a transportation modelin a transportation model, an initial feasi- ble solution can be found by several alternative methods, including the northwest corner method, the minimum cell cost method, and vogel's approximation model. Feasible solution of transportation problem, so tdm1 uses all costs for each row instead to calculate penalties of each row by tdm1 just a simple code in matlab. Solving transportation problem using the new technique, results in minimum transportation cost than the least cost method (either less than or equal to minimum cost.
Home → degeneracy in the transportation problem we have seen that an initial feasible solution to an m resources/origins and n destination problem consists of (m + n -1) basic variables which is the same as the number of occupied cells. To solve a transportation problem first we need to find an initial basic feasible solution and then get an optimum solution since there are m + n - 1 independent equations, any basic feasible solution will contain m + n - 1 basic variables. 151 methods for initial basic feasible solution some simple methods to obtain the initial basic feasible solution are 1 north-west corner rule. Example 2 the transportation problem there are i ports, or produc-tion plants, p 1 ,p i,thatsupplyacertaincommodity,andtherearej markets, m 1 ,m j.
Finding an initial feasible solution there are number of methods available for generating an initial feasible solution for a transportation problem an initial basis feasible solution can be constructed by selecting the (m+n-1) basic variable (allocations) x ij one at a time. Transportation problem is known as time minimizing transportation problem where the objective is to minimize the transporting time rather than the cost of transportation an initial basic feasible solution for minimizing the time of transportation can be obtained by us ing any well. With one equation removed (conceptually, that is), a basic feasible solution will have 5 basic variables and 4 nonbasic variables if we are to solve this problem by the standard. A new heuristic for obtaining an initial basic feasible solution of a transportation problem (tp) is introduced in this paper generate a feasible solution to the.
72 balancing a transportation problem if total supply is less than total demand in this case the problem has no feasible solution: demand cannot be satisfied. In linear programming (lp) a basic feasible solution is one that also belong to the feasible region or problem area can be represented by a feasible solution in implementing the simplex method satisfying nonnegative conditions. In this video you will learn how to find the initial basic feasible solution of a transportation problem using the north west corner rule in the most efficient and easy to understand way category. A novel approach for the fuzzy optimal solution of fuzzy transportation problem international journal of engineering research and applications , 3 , 1416 - 1421 [google scholar] ) studied a novel approach for the fuzzy optimal solution of fuzzy transportation problems.
Basic feasible solution(bfs) - for [math]mn [/math] transportation problem if number of allocations are [math]m+n-1 [/math] ten it is called as basic feasible solution non degenerate bfs- when all allocation are not forming a loop (independent position) and total allocations are [math]m+n-1. In order to proceed with a minimal total cost solution technique, it is necessary to start with an initial feasible solution (ifs) thus ifs acts as a foundation to a minimal total cost solution technique to the transportation problem. 4] is a transportation type linear programming problem with upper bound restrictions on some variables, therefore its global maximum exists at a basic feasible solution of its constraints as none of the constraints in the original system is redundant, a basic feasible solution to the original system shall contain (m+n) basic variables. The solution of a balanced transportation problem of minimization is divided in two parts - in part one we find out an initial solution to the given transportation problems this is known as initial basic feasible solution (ibfs.
Bto generate an initial feasible solution to a transportation problem c to minimize the total shipping cost from several origins to several destinations d to calculate whether a feasible solution is also an optimal solution. Initial basic feasible solution by vam (vogel's approximation method) of transportation problem gourav manjrekar transportation problem. The north west corner rule is a method for computing a basic feasible solution of a transportation problem where the basic variables are selected from the north - west corner (ie, top left corner.