Advertisements
Advertisements
प्रश्न
What is feasible solution and non degenerate solution in transportation problem?
उत्तर
Feasible Solution: A feasible solution to a transportation problem is a set of non-negative values xij (i = 1, 2, … m, j = 1, 2, … n) that satisfies the constraints.
Non-degenerate basic feasible solution: If a basic feasible solution to a transportation problem contains exactly m + n – 1 allocations in independent positions, it is called a Non-degenerate basic feasible solution.
Here m is the number of rows and n is the number of columns in a transportation problem.
APPEARS IN
संबंधित प्रश्न
What is transportation problem?
Write mathematical form of transportation problem
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 |
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 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:
Solution for transportation problem using ______ method is nearer to an optimal solution.
The following table summarizes the supply, demand and cost information for four factors S1, S2, S3, S4 Shipping goods to three warehouses D1, D2, D3.
| D1 | D2 | D3 | Supply | |
| S1 | 2 | 7 | 14 | 5 |
| S2 | 3 | 3 | 1 | 8 |
| S3 | 5 | 4 | 7 | 7 |
| S4 | 1 | 6 | 2 | 14 |
| Demand | 7 | 9 | 18 |
Find an initial solution by using north west corner rule. What is the total cost for this solution?
Consider the following transportation problem
| Detination | Availabiity | ||||
| 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 Least cost method
Determine an initial basic feasible solution to the following transportation problem by using least cost method
| 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 | ||
