The transportation problem a simple example a compressor company has plants in three locations. Keywords transportation problem, transportation cost, initial basic feasible solution, optimal solution 1. Modeling transportation algorithmusing rnorth west corner. Muhammad daniyal ashfaq 051 muhammad waleed aslam 014 javeria khalid hassan 047 shahrukh hussain 032 course instructor. Transportation models are solved manually within the context of a tableau, as in the simplex method. Vam is not quite as simple as the northwest corner approach, but it facilitates a very good initial solutionas a matter of fact, one that is often the optimal solution. Other methods for obtaining an initial basic solution are the minimum cell cost method and the vogel approximation model.
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. Northwestcornermethod questions and answers math discussion. There are three methods to determine the solution for balanced transportation problem. Mar 15, 2018 transportation problem solution by using northwest corner method transportation problem solution by using least cost method s. Approximation method vam, north west corner nwc method, and matrix minima method. In transportation problem, which method gives the best result. Starting from the north west corner, we allocate min 50, 20 to. In all methods, the supply and demand must be equal. Modeling transportation algorithmusing rnorth west corner method. Development of a new optimal method for solution of. The standard instructions for a transportation model are paraphrased below.
The northwest corner rule is a method adopted to compute the initial feasible solution of the transportation problem. So the new method will be used to get the ibf along with the optimal solution. During this time, the method of solving transportation problem was conducted by northwest corner nwc, leastcost lc, and vogel approximation vam. Oct 26, 2015 the northwest corner method or upper lefthand corner is a heuristic that is applied to a special type of linear programming problem structure called the transportation model, which ensures that there is an initial basic feasible solution non artificial. The northwest corner rule revisited mathematics tu graz. Transportation model initial basic feasible solution north west corner rule method vogels approximation method least cost method optimum solution modi method simple problems assignment problem hungarian model block iii queuing theory elements of queuing system characteristics of queuing system. Use horizontal scrollbar to view full table calculation. Starting from the north west corner, we allocate 20 units to f 1 w 1. On the other hand, the northwest corner rule consumes much time to get the optimal. We shall illustrate this with the help of an example.
Pdf during this time, the method of solving transportation problem was conducted by northwestcorner nwc, leastcost lc, and vogel approximation. Use the northwest corner method to find an initial solution to the problem described in example 1 and shown in the table. Other methods for obtaining an initial basic solution are the minimum cell cost method. View transportation problem research papers on academia.
The northwest corner rule the northwest corner rule requires that we start in the upper lefthand cell or northwest corner of the table and allocate units to shipping routes. In generally, the best initial basic feasible solution is found by vogels approximation method and the worst ibfs is generated by northwest corner method. The northwest corner method or upper lefthand corner is a heuristic that is applied to a special type of linear programming problem structure called the transportation model, which ensures that there is an initial basic feasible solution non artificial. Transportation problem solution by using northwest corner. In the next section, we present two methods proposed to find a basic feasible solution for a transportation problem. Introduction transportation problem is famous in operation research for its wide application in real life. Page 2 transportation problem north west corner method 3. Transportation problem solution by using northwest corner method. The initial solution is complete when rim requirements are satisfied. Meanwhile the least number of calculations is related to northwest corner 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. Because of the simplicity of this method one can easily adopt it among the existing methods. The amount allocated is the most possible,subject tothe supply and demand constraints for that cell. The northwest corner rule is easy to use, but it totally ignores costs. This method will be very lucrative for those decision makers who are dealing with logistics and supply chain related issues. In this method, the basic variables are usually chosen from the top left corner commonly referred to as the northwest corner. Transportation problem solution by using northwest corner method transportation problem solution by using least cost method s. With the northwest corner method, an initial allocation is made to the cell in the.
A method often called the northwest corner method is used. During the past week, the total production of a special compressor unit out of each plant has been 35, 50, and 40 units respectively. With the northwest corner method, an initial allocation is made to the cell in the upper lefthand corner of the tableau i. A new method for solving transportation problems considering. Afterwards many researchers provide many methods and algorithms to solve transportation problems. Feb 08, 2017 north west corner method transportation problem operation research, north west corner rule, north west corner method transportation problem, north west corne.
Solving transportation problem by various methods and their. Lecture notes on transportation and assignment problem bbe. The ibf obtained using the russell method does not give enough number of entries to start the transportation simplex algorithm. 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 i. Transportation problem set 2 northwest corner method. But instead of direct shipments to destinations, the commodity can be transported to a particular destination through one or more intermediate or transshipment points. The name northwest corner is because the basic variables are selected from the extreme left corner.
Test for optimal solution to a transportation problem learning objective. Minimum transportation cost calculator using north west. Northwest, row minima, column minima, least cost or vogels approximation vam. Pdf the north west corner method nwcm, the south east corner method secm, the north east corner method necm and the south east. Find an initial basic feasible solution of the given transportation problem using northwest corner rule. This content was copied from view the original, and get the alreadycompleted solution here.
We can now use the northwest corner rule to find an initial feasible solution to the problem. Transportation model initial basic feasible solution north. In a transportation model, an initial feasible solution can be found by several alternative methods, including the northwest corner method, the minimum cell cost method, and vogels approximation model. Northwest corner method example with solution creative. Module b transportation and assignment solution methods.
Keywords transportation problem, optimal solution and asm method. Vam and matrix minima method always provide ibfs of a transportation problem. The following steps are followed to obtain this feasible solution 1 northwest corner, modi, vogel and least cost. Intuitive method a costbased approach to finding an initial solution to a transportation problem. The transportation problem is a special type of linear programming problem, where the. Applied statistics assignment help, transpotation problem, history of north west corner method. The transportation problem is a special type of lpp where the objective is to minimize the cost of distributing a product from a number of sources or origins to a number of destinations. Optimization techniques for transportation problems of three.
The tableau for our wheat transportation model is shown in table b1. Test for optimality stepping stone method before learning the methods to find the optimal solution try and practice few more. To achive optimum value, there are several methods, the steppingstone method, assignment method. After finding feasible solution the two methods for solving a transportation model are the steppingstone method and the modified distribution method also known as modi.
Learn vocabulary, terms, and more with flashcards, games, and other study tools. Northwest corner method uses largest possible allocation is made in the cell upper left hand corner of the table by allocation to adjacent feasible cells. A transportation problem involves the following costs, supply, and demand. The basic solution principle in a transportation problem is to determine whether. Three new methods to find initial basic feasible solution of. An introduction to transportation problem has been discussed in the previous article, in this article, finding the initial basic feasible solution using the northwest corner cell method will be. In addition to the northwest corner and intuitive lowestcost methods of setting an initial solution to transportation problems, we introduce one other important techniquevogels. Because of its special structure the usual simplex method is not suitable for solving transportation problems.
Transportation problems transportation problems pearson. Minimum transportation cost calculator using north west corner method. I am new to r and i model transportation problem using rnorth west corner method codes are. The method is also illustrated with numerical examples. A study of transportation problem for an essential item of. The modi and vam methods of solving transportation problems. A study of transportation problem for an essential item of southern part. Vogels approximation method tackles the problem of finding a good initial solution by taking into account the costs associated with each route alternative.