What is the transportation simplex method?

What is the transportation simplex method?

The transportation simplex method uses linear programming to solve transportation problems. The goal is to create the optimal solution when there are multiple suppliers and multiple destinations. The data required includes the unit shipping costs, how much each supplier can produce, and how much each destination needs.

Is Modi method and UV method same?

The modified distribution method, is also known as MODI method or (u – v) method provides a minimum cost solution to the transportation problems. MODI method is an improvement over stepping stone method.

What is basic variable in transportation problem?

Number of basic variables = m + n – 1 = 3 + 4 – 1 = 6. Number of basic variables = m + n –1 = 3 + 4 – 1 = 6. The initial basic feasible solution is x12=20, x13=30, x21=20, x24=55, x233=20, x34=5 and minimum cost of transportation=20 X 2 + 20 X 5 + 30 X 7 + 55 X 2 + 20 X 9 + 5 X 2 = 650.

What is the formula for UI and VJ values?

There is a separate formula to find ui and vj, ui + vj = Cij where Cij is the cost value only for the allocated cell.

What is the approach of operation research?

Operations research (OR) is an analytical method of problem-solving and decision-making that is useful in the management of organizations. In operations research, problems are broken down into basic components and then solved in defined steps by mathematical analysis.

What is the transportation problem in operational research?

The transportation problem is a special type of linear programming problem where the objetive consists in minimizing transportation cost of a given commodity from a number of sources or origins (e.g. factory, manufacturing facility) to a number of destinations (e.g. warehouse, store).

What is north west corner method?

Definition: The North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. The name North-west corner is given to this method because the basic variables are selected from the extreme left corner. The transportation costs are also given in the matrix.

Why Modi method is used?

The MODI (modified distribution) method allows us to compute improvement indices quickly for each unused square without drawing all of the closed paths. Because of this, it can often provide considerable time savings over other methods for solving transportation problems.

How is U and V calculated in Modi method?

What is VAM in transportation problem?

Definition: The Vogel’s Approximation Method or VAM is an iterative procedure calculated to find out the initial feasible solution of the transportation problem. Like Least cost Method, here also the shipping cost is taken into consideration, but in a relative sense.

What is UV method in transportation problem?

distribution method is also known as MODI method. or u-v method, which provides a minimum bono cost. solution Coptimum solution) to the transportation. problem following are the steps invalued in this. method.

When do you get a loop in a transportation problem?

In transportation problem we get a loop when solution is not optimal. We find delta value (opportunity cost) for each unoccupied cell. Delta = C – (U + V). If any delta is negative, solution is not optimal.

What is operation research and what is its purpose?

Operation Research is concerned with the application of the principles and the methods of science to the problems of strategy. The subject of operation research was born during Second World War in U.K., and was used for military strategy.

What are the phases of an operation research study?

Phases in Operation Research Study 3. Scope 4. Characteristics 5. Methodology 6. Models 7. Techniques 8. Applications 9. Limitations. It is the method of analysis by which management receives aid for their decisions.

What are some problems that can be analysed by Operation Research?

Some of the problems which can be analysed by operations research are given hereunder: 1. Finance, Budgeting and Investment: i. Cash flow analysis, long range capital requirement, investment portfolios, divi­dend policies, ii. Claim procedure, and . iii. Credit policies. 2. Marketing:

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