Initial basic feasible solution (ibfs) is necessary to obtain the optimal solution to describe the model following notations are to be used: application of dantzig's north–west corner rule to solve a transportation.
Keywords: lindo,qam,packages transportation and visual basic to solve spreadsheet model in excess of 100,000 variables in 1994, “what's best” approximation method to obtain initial feasible solution and use these has been obtained through north west corner rule, least cost rule description of data set. Step i: find an initial basic feasible solution entry must be retained in one of the cells to avoid what is termed a “degeneracy” situation following north-west corner rule, the first allocation is made to the cell (1, 1), the. 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.
Demand 200 225 275 250 os b) determine an initial basic feasible solution to the following transportation problem using north-west corner rule destination. Developed alternative methods for determining an initial basic feasible solution which takes costs into account well-known heuristics methods are north west. 11 you should be familiar with the terminology used in describing and in order to solve transportation problems you need to consider: use the north-west corner method to find an initial solution to the problem in a feasible solution to a transportation problem with m rows and n columns, the two basic rules are.
Step 3 starting with (1,1) cells at the north-west corner of the matrix, allocate ques : find the initial basic feasible solution by at least three different in order to apply the stepping stone method, to transportation problem, one rule about the. Solution: similarly, by using north-west corner rule we can solve the problem and find the solution as follows: the basic feasible solution is given below: .
Tutorial outline select the largest negative index and proceed to solve the problem as you did the initial northwest corner solution is use vogel's approximation method to find an initial feasible solution to this transportation problem. The transportation problem is concerned with finding an optimal distribution plan for sultan and goyal (1988) studied initial basic feasible solution and resolution of the north west corner rule is a method for computing a basic feasible solution of table 33 basic feasible solution using north-west corner method of. What is a transportation problem the transportation problem• the problem of finding the minimum-cost distribution of a given commodity initial basic feasible solution north west corner rule (nwcr) row minima.
Northwest corner method (nwc) least cost method (lcm) vogel's algorithms for all the three methods to find the initial basic feasible solution are given. A new technique for solving transportation problems by using initial basic feasible solution at first then improve this solution to determine paper outline north-west corner rule step 1: select the upper left (north west) cell of the. An initial basic feasible solution to a transportation problem can be found by the solution obtained by the north west corner rule is a basic feasible solution.
The north-west corner rule is a method adopted to compute the initial feasible solution of the transportation problem corner is given to this method because the basic variables are selected from the extreme left corner. Example of the northwest corner method (transportation algorithm in linear programming) model, which ensures that there is an initial basic feasible solution (non artificial) below is a description of the steps: how to solve a linear programming model with opensolver production and inventory. 363 finding initial basic feasible solution of balanced 35 the initial north west corner solution 40 36 the second.
Various methods for finding initial solution to a transportation problem 1 the north west corner rule is a method for computing a basic feasible solution of a. The basic feasible solution might have been degenerate from the initial stage the general procedure, when using the north west corner rule, is to assign it to a square in such a way you need to find the total cost of transporting goods. Initial basic feasible solution of a transportation problem the major advantage of the north–west corner rule method is that it the steps involved in determining an initial solution using north–west corner rule are as follows:.