Advertisements
Advertisements
प्रश्न
What is transportation problem?
Advertisements
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 do you mean by balanced transportation problem?
Obtain an initial basic feasible solution to the following transportation problem by using least-cost method.
| D1 | D2 | D3 | Supply | |
| O1 | 9 | 8 | 5 | 25 |
| O2 | 6 | 8 | 4 | 35 |
| O3 | 7 | 6 | 9 | 40 |
| Demand | 30 | 25 | 45 |
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
Obtain an initial basic feasible solution to the following transportation problem by north west corner method.
| D | E | F | C | Available | |
| A | 11 | 13 | 17 | 14 | 250 |
| B | 16 | 18 | 14 | 10 | 300 |
| C | 21 | 24 | 13 | 10 | 400 |
| Required | 200 | 225 | 275 | 250 |
Choose the correct alternative:
The transportation problem is said to be unbalanced if ______
Choose the correct alternative:
In a non – degenerate solution number of allocation is
Choose the correct alternative:
In a degenerate solution number of allocations is
Consider the following transportation problem
| Destination | Availability | ||||
| D1 | D2 | D3 | D4 | ||
| O1 | 5 | 8 | 3 | 6 | 30 |
| O2 | 4 | 5 | 7 | 4 | 50 |
| O3 | 6 | 2 | 4 | 6 | 20 |
| Requirement | 30 | 40 | 20 | 10 | |
Determine an initial basic feasible solution using Vogel’s approximation method
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 | ||
