Note on instance results

These results were achieved using this algorithms described by Burke et al. (see reference 1 on the references page). This technique uses aggregations to simplify the problem, and so the solutions are not guaranteed to be optimal. The instance results consist of three parts:

Best cost: the cost of the best solution found Delivery schedules: details of the number of batches of a product delivered per period between pairs of agents: product-name (agent-sender-name->agent-receiver-name). Production schedules: details of the number of each product produced by each agent in each period: agent-name,product-name.

### Instance 1

Best Cost 288644
 Number of batches delivered per period Period 1 2 3 4 5 6 7 8 9 10 11 12 P2 (A2->A1) 0 1 1 0 0 0 2 0 0 0 0 0 P3 (A3->A1) 0 1 0 2 0 0 2 0 0 2 0 0 P4 (A4->A1) 0 0 0 0 0 0 2 0 0 0 0 0
 Number of each product manufactured in each period Period 1 2 3 4 5 6 7 8 9 10 11 12 A1, P0 41 69 66 0 75 0 0 74 0 41 65 0 A1, P1 0 0 0 128 0 0 127 0 0 64 0 0 A2, P2 61 53 59 67 60 0 0 0 0 0 0 0 A3, P3 91 83 93 79 88 0 18 81 80 0 0 0 A4, P4 0 0 26 66 47 0 0 0 0 0 0 0

### Instance 2

Best Cost 595879
 Number of batches delivered per period Period 1 2 3 4 5 6 7 8 9 10 11 12 P2 (A2->A1) 0 0 1 0 0 0 1 0 0 0 0 0 P3 (A3->A1) 0 1 0 2 0 0 3 0 0 2 0 0 P4 (A4->A1) 0 0 0 1 0 0 1 0 0 1 0 0
 Number of each product manufactured in each period Period 1 2 3 4 5 6 7 8 9 10 11 12 A1, P0 0 33 61 0 35 0 92 0 0 0 0 0 A1, P1 38 0 0 89 0 0 0 53 41 94 30 0 A2, P2 32 0 43 37 0 34 0 0 0 0 0 0 A3, P3 75 60 71 76 82 65 61 47 0 0 0 0 A4, P4 0 17 33 32 42 27 22 28 26 45 0 0

### Instance 3

Best Cost 587171
 Number of batches delivered per period Period 1 2 3 4 5 6 7 8 9 10 11 12 P2 (A2->A1) 0 0 0 0 0 0 2 0 0 0 0 0 P3 (A3->A1) 0 0 0 3 0 0 2 0 0 1 0 0 P4 (A4->A1) 0 0 0 1 0 0 0 0 0 0 0 0 P5 (A5->A2) 0 0 0 1 0 0 0 0 0 0 0 0 P6 (A6->A3) 0 1 0 1 0 0 1 0 0 0 0 0 P7 (A7->A4) 0 0 0 0 0 0 0 0 0 0 0 0
 Number of each product manufactured in each period Period 1 2 3 4 5 6 7 8 9 10 11 12 A1, P0 0 0 0 78 0 0 91 0 0 67 0 0 A1, P1 0 0 82 0 97 0 0 0 0 0 0 0 A2, P2 0 0 43 0 0 25 33 0 0 0 0 0 A3, P3 31 23 43 33 43 34 32 35 0 13 0 0 A4, P4 0 12 39 0 0 0 0 0 0 0 0 0 A5, P5 0 0 0 0 0 0 0 0 0 0 0 0 A6, P6 31 28 33 23 44 21 35 29 21 22 41 0 A7, P7 0 0 0 0 0 0 0 0 0 0 0 0

### Instance 4

Best Cost 599203
 Number of batches delivered per period Period 1 2 3 4 5 6 7 8 9 10 11 12 P2 (A2->A1) 0 0 0 0 0 0 3 0 0 1 0 0 P3 (A3->A1) 0 1 0 2 0 0 2 0 0 1 0 0 P4 (A4->A1) 0 0 0 1 0 0 0 0 0 0 0 0 P5 (A5->A2) 0 0 1 1 0 0 1 0 0 0 0 0 P6 (A6->A3) 0 0 1 1 0 0 1 0 0 0 0 0 P7 (A7->A4) 0 0 0 1 0 0 0 0 0 0 0 0
 Number of each product manufactured in each period Period 1 2 3 4 5 6 7 8 9 10 11 12 A1, P0 0 77 0 0 0 0 79 47 57 15 0 0 A1, P1 0 0 0 56 53 0 0 0 0 28 0 0 A2, P2 0 14 53 44 48 0 0 61 0 0 0 0 A3, P3 63 0 51 58 27 0 68 0 0 0 0 0 A4, P4 0 0 19 56 0 0 0 0 0 0 0 0 A5, P5 0 53 0 69 0 0 0 0 0 0 0 0 A6, P6 0 50 0 0 68 0 0 0 0 0 0 0 A7, P7 0 0 35 40 0 0 0 0 0 0 0 0

### Instance 5

Best Cost 1156312
 Number of batches delivered per period Period 1 2 3 4 5 6 7 8 9 10 11 12 P2 (A2->A1) 0 0 0 0 0 0 1 0 0 1 0 0 P3 (A3->A1) 0 0 0 1 0 0 1 0 0 1 0 0 P4 (A4->A1) 0 0 0 1 0 0 1 0 0 0 0 0 P5 (A5->A2) 0 0 1 0 0 0 1 0 0 0 0 0 P6 (A6->A3) 0 0 1 1 0 0 3 0 0 0 0 0 P7 (A7->A4) 0 0 0 0 0 0 0 0 0 0 0 0 P8 (A8->A2) 0 0 1 0 0 0 1 0 0 0 0 0 P9 (A9->A3) 0 0 0 1 0 0 1 0 0 0 0 0 P10 (A10->A4) 0 0 0 1 0 0 0 0 0 0 0 0
 Number of each product manufactured in each period Period 1 2 3 4 5 6 7 8 9 10 11 12 A1, P0 0 0 0 0 0 0 0 84 0 98 0 0 A1, P1 0 0 0 84 0 0 73 0 0 0 0 0 A2, P2 42 0 45 33 0 0 46 24 0 0 0 0 A3, P3 0 0 62 63 0 0 79 0 51 0 0 0 A4, P4 0 0 0 76 0 0 0 0 0 0 0 0 A5, P5 0 75 82 0 0 0 0 0 0 0 0 0 A6, P6 41 74 66 67 57 79 65 0 0 0 0 0 A7, P7 0 0 0 0 0 0 0 0 0 0 0 0 A8, P8 60 93 83 89 65 53 80 44 74 54 82 51 A9, P9 30 0 22 26 33 5 0 0 0 0 0 0 A10, P10 49 0 0 0 0 0 0 0 0 0 0 0

### Instance 6

Best Cost 1351505
 Number of batches delivered per period Period 1 2 3 4 5 6 7 8 9 10 11 12 P2 (A2->A1) 0 0 0 1 0 0 1 0 0 0 0 0 P3 (A3->A1) 0 0 0 1 0 0 1 0 0 1 0 0 P4 (A4->A1) 0 0 0 0 0 0 0 0 0 0 0 0 P5 (A5->A2) 0 0 0 0 0 0 0 0 0 0 0 0 P6 (A6->A3) 0 0 0 0 0 0 1 0 0 0 0 0 P7 (A7->A4) 0 0 0 0 0 0 0 0 0 0 0 0 P8 (A8->A2) 0 0 0 0 0 0 1 0 0 0 0 0 P9 (A9->A3) 0 0 0 0 0 0 1 0 0 0 0 0 P10 (A10->A4) 0 0 0 0 0 0 0 0 0 0 0 0

 Number of each product manufactured in each period Period 1 2 3 4 5 6 7 8 9 10 11 12 A1, P0 0 0 0 77 0 0 60 0 0 60 0 0 A1, P1 23 0 0 0 0 0 0 0 0 0 0 0 A2, P2 0 0 0 0 0 0 38 0 0 0 0 0 A3, P3 0 39 0 0 0 0 60 0 0 0 0 0 A4, P4 0 0 0 0 0 0 0 0 0 0 0 0 A5, P5 0 0 0 0 0 0 0 0 0 0 0 0 A6, P6 0 0 0 0 0 14 0 0 0 0 0 0 A7, P7 0 0 0 0 0 0 0 0 0 0 0 0 A8, P8 0 0 0 0 0 0 28 0 0 0 0 0 A9, P9 0 0 0 1 89 0 0 0 0 0 0 0 A10, P10 0 0 0 0 0 0 0 0 0 0 0 0