Self Test Questions

Theory

1. Describe the transportation problem with its general mathematical formulation.

2. Explain the following:

• North west corner rule
• Matrix minimum method
• Vogel approximation method

3. Explain the following with the help of an example:

• Unbalanced transportation problem
• Maximization in a transportation problem
• Degeneracy
• Prohibited routes

4. Discuss the similarities and differences between the stepping stone method and the MODI method in solving a transportation problem.

5. Fill in the blanks

1. The objective of a transportation problem is to …………………. the transportation cost.
2. The constraints of a transportation problem are ………………….
3. If a transportation problem has m factories and n retail shops the number of variables is …………………. and the number of constraints is …………………

Practical

1. A factory has three warehouses W1, W2 and W3 which supply to four stores S1, S2, S3 and S4. Monthly capacities of the warehouses are W1 = 100 units, W2 = 40 units and W3 = 60 units. Monthly demands at the stores are S1 = 30 units, S2 = 50 units, S3 = 65 units and S4= 55 units.
The shipping cost in terms of rupees from warehouses to stores is as given below:

The problem here is to determine the optimum distribution for the factory to minimize shipping costs.

2. Solve the following transportation problems.

(a)

(b)

Use Horizontal Scrollbar to View Full Table Calculation.

(c)

(d)

(e)

(f)

(g)

3. Solve the following transportation problems by Stepping Stone Method and MODI method:

(a)

(b)

(c)

(d)

(e)

(f)

4. Solve the following transportation problem.