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Table 7 Input data of various test problems
Test problem no. | Problem no./type | Order of | Original availability and demand of the transshipment problem | Buffer stock (T) | Availability and demand of the transformed transportation problem with dummy point source/destination | |
|---|---|---|---|---|---|---|
Original transshipment problem | Transformed transportation problem | |||||
 7.1 | Impaired Flow (P4) P ′ = 40 | 2 × 2 | 5 × 5 | a 1 = 4, a 2 = 5, b 3 = 3, b 4 = 6 | 9 | a 1 = 13, a 2 = 14, a 3 = 9, a 4 = 9, b 1 = 9, b 2 = 9, b 3 = 12, b 4 = 15, a 5 = 5, b 6 = 5 |
 7.2 | Enhanced Flow (P6) P ′ = 48 | |||||
 7.3 | Impaired Flow (P4) P ′ = 115 | 2 × 2 | 5 × 5 | a 1 = 8, a 2 = 12, b 3 = 15, b 4 = 10 | 25 | a 1 = 33, a 2 = 37, a 3 = 25, a 4 = 25, b 1 = 25, b 2 = 25, b 3 = 40, b 4 = 35, a 5 = 10, b 6 = 5 |
 7.4 | Enhanced Flow (P6) P ′ = 130 | |||||
 7.5 | Impaired Flow (P4) P ′ = 540 | 5 × 5 | 11 × 11 | a 1 = 10, a 2 = 12, a 3 = 5, a 4 = 15, a 5 = 8, b 6 = 8, b 7 = 11, b 8 = 9, b 9 = 10, b 10 = 4 | 50 | a 1 = 60, a 2 = 62, a 3 = 55, a 4 = 65, a 5 = 58, a 6 = 50, a 7 = 50, a 8 = 50, a 9 = 50, a 10 = 50, b 1 = 50, b 2 = 50, b 3 = 50, b 4 = 50, b 5 = 50, b 6 = 58, b 7 = 61, b 8 = 59, b 9 = 60, b 10 = 54, a 11 = 2, b 11 = 10 |
 7.6 | Enhanced Flow (P6) P ′ = 555 | All values are same as impaired flow except dummy points a 11 = 5, b 11 = 13 | ||||
 7.7 | Case-I (P8) | 2 × 2 | 4 × 5 | a 1 = 7, a 2 = 5, b 3 = 3, b 4 = 6 | 12 | a 1 = 19, a 2 = 17, a 3 = 12, a 4 = 12, b 1 = 12, b 2 = 12, b 3 = 15, b 4 = 18, b 5 = 3 |
 7.8 | (P10) | 2 × 2 | 5 × 4 | a 1 = 4, a 2 = 5, b 3 = 8, b 4 = 6 | 14 | a 1 = 18, a 2 = 19, a 3 = 14, a 4 = 14, b 1 = 14, b 2 = 14, b 3 = 22, b 4 = 20, a 5 = 5 |
 7.9 | Case-II (P12) | 2 × 2 | 5 × 4 | a 1 = 4, a 2 = 5, b 3 = 7, b 4 = 10 | 17 | a 1 = 21, a 2 = 22, a 3 = 17, a 4 = 17, b 1 = 17, b 2 = 17, b 3 = 24, b 4 = 27, a 5 = 8 |
 7.10 | (P13) | 2 × 2 | 4 × 5 | a 1 = 8, a 2 = 7, b 3 = 3, b 4 = 6 | 15 | a 1 = 23, a 2 = 22, a 3 = 15, a 4 = 15, b 1 = 15, b 2 = 15, b 3 = 18, b 4 = 21, b 5 = 6 |
 7.11 | Case-III (P14) | 2 × 2 | 4 × 5 | a 1 = 8, a 2 = 12, b 3 = 4, b 4 = 7 | 20 | a 1 = 28, a 2 = 32, a 3 = 20, a 4 = 20, b 1 = 20, b 2 = 20, b 3 = 24, b 4 = 27, b 5 = 9 |
 7.12 | (P15) | 2 × 2 | 5 × 4 | a 1 = 4, a 2 = 10, b 3 = 10 b 4 = 15 | 25 | a 1 = 29, a 2 = 35, a 3 = 25, a 4 = 25, b 1 = 25, b 2 = 25, b 3 = 35, b 4 = 40, a 5 = 11 |