Advertisements
Advertisements
प्रश्न
What is transportation problem?
उत्तर
The transportation problem deals with transporting goods from a source to a destination by a minimum cost.
Description: A Manufacturer has a number of factories which produces goods at a fixed rate.
He also has a number of warehouses, each of which has a fixed storage capacity.
There is a cost to transport goods from a factory to a warehouse.
Find the transportation of goods from factory to the warehouse that has the lowest possible cost.
Example:
Factories: A1 makes 5 units
A2 makes 4 units
A3 makes 6 units
Warehouses: b1 can store 5 units
b2 can store 3 units
b3 can store 5 units
b4 can store 2 units
Transportation costs:
| b1 | b2 | b3 | b4 | |
| A1 | 5 | 4 | 7 | 6 |
| A2 | 2 | 5 | 3 | 2 |
| A3 | 6 | 3 | 4 | 4 |
APPEARS IN
संबंधित प्रश्न
What is feasible solution and non degenerate solution in transportation problem?
Determine an initial basic feasible solution of the following transportation problem by north west corner method.
| Bangalore | Nasik | Bhopal | Delhi | Capacity | |
| Chennai | 6 | 8 | 8 | 5 | 30 |
| Madurai | 5 | 11 | 9 | 7 | 40 |
| Trickly | 8 | 9 | 7 | 13 | 50 |
| Demand (Units/day) |
35 | 28 | 32 | 25 |
Explain Vogel’s approximation method by obtaining initial feasible solution of the following transportation problem.
| D1 | D2 | D3 | D4 | Supply | |
| O1 | 2 | 3 | 11 | 7 | 6 |
| O2 | 1 | 0 | 6 | 1 | 1 |
| O3 | 5 | 8 | 15 | 9 | 10 |
| Demand | 7 | 5 | 3 | 2 |
Consider the following transportation problem.
| D1 | D2 | D3 | D4 | Availability | |
| O1 | 5 | 8 | 3 | 6 | 30 |
| O2 | 4 | 5 | 7 | 4 | 50 |
| O3 | 6 | 2 | 4 | 6 | 20 |
| Requirement | 30 | 40 | 20 | 10 |
Determine initial basic feasible solution by VAM.
Find the initial basic feasible solution of the following transportation problem:
| I | II | III | Demand | |
| A | 1 | 2 | 6 | 7 |
| B | 0 | 4 | 2 | 12 |
| C | 3 | 1 | 5 | 11 |
| Supply | 10 | 10 | 10 |
Using North West Corner rule
Find the initial basic feasible solution of the following transportation problem:
| I | II | III | Demand | |
| A | 1 | 2 | 6 | 7 |
| B | 0 | 4 | 2 | 12 |
| C | 3 | 1 | 5 | 11 |
| Supply | 10 | 10 | 10 |
Using Least Cost method
Find the initial basic feasible solution of the following transportation problem:
| I | II | III | Demand | |
| A | 1 | 2 | 6 | 7 |
| B | 0 | 4 | 2 | 12 |
| C | 3 | 1 | 5 | 11 |
| Supply | 10 | 10 | 10 |
Using Vogel’s approximation method
Choose the correct alternative:
The Penalty in VAM represents difference between the first ______
Determine an initial basic feasible solution to the following transportation problem by using north west corner rule
| Destination | Supply | ||||
| D1 | D2 | D3 | |||
| S1 | 9 | 8 | 5 | 25 | |
| Source | S2 | 6 | 8 | 4 | 35 |
| S3 | 7 | 6 | 9 | 40 | |
| Requirement | 30 | 25 | 45 | ||
Explain Vogel’s approximation method by obtaining initial basic feasible solution of the following transportation problem.
| Destination | ||||||
| D1 | D2 | D3 | D4 | Supply | ||
| O1 | 2 | 3 | 11 | 7 | 6 | |
| Origin | O2 | 1 | 0 | 6 | 1 | 1 |
| O3 | 5 | 8 | 15 | 9 | 10 | |
| Demand | 7 | 5 | 3 | 2 | ||
