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Fig. 19.7. Light trail design step 2: best- rst approach. in .NET Produce pdf417 2d barcode in .NET Fig. 19.7. Light trail design step 2: best- rst approach.

Fig. 19.7. Light trail design step 2: best- rst approach. using visual .net toreceive pdf-417 2d barcode for asp.net web,windows application Data Matrix Encoding Data When there is a tie in ro visual .net PDF-417 2d barcode ute selection, the path that can accommodate most requests is chosen. It is possible to design and apply different criteria.

As mentioned earlier, sorting AllRequest[ ] in different ways yields different algorithms, namely best- t decreasing packing order and best- t increasing packing order.. 19.5.3 Discussions The pr oposed heuristic algorithm has two steps, as shown in Figs.

19.6 and 19.7.

Both the rst step and the second step would need information on the paths between. 19.5 Solution considerations Fig. 19.8. A 10-node example network. each s-d pair. Therefore, .net vs 2010 PDF 417 one can rst nd all possible paths for each s-d pair.

The worst-case complexity of an exhaustive search for each s-d pair is O(N 3 ). The total running time for nding all possible routes is O(RN3 ), where R is the number of s-d pairs (requests). In fact, instead of searching for all paths, it is preferable to search among the K -shortest paths with K being big enough.

This could reduce the complexity to O(N (E + N log N + KN )) for all node-pairs. This may be a promising choice for big networks. In the best- t packing of step 2, for each s-d pair, the best- t route is chosen among all K paths.

For path with n nodes, there are a maximum of t = (n 1) + (n 2) + + 1 = O(n 2 ) s-d pairs, where n is bounded by T lmax . Hence t = 2 O(T lmax ). The sorting takes O(t log t) loops, and packing takes another t loops.

Thus the total complexity is O(t log t) loops for each path. There are K paths, and the same procedure is performed on the selected best- t path. Therefore, a total of 2 O(K (t log t)) = O(K (T lmax log T lmax )) loops are needed for each s-d pair.

At least one s-d pair is eliminated from matrix R in Fig. 19.7 in each step and the program stops when R is empty.

. 19.5.4 Algorithm performa nce To evaluate the performance of the above ILP formulations and heuristic algorithms, experiments are performed on a physical topology given in Fig.

19.8. To simplify the problem, it is assumed that each physical link is bidirectional with the same length.

Table 19.1 gives a randomly generated traf c matrix for this example. The integer numbers indicate the requested capacity in units of OC-1 (51.

84 Mbit/s). The entire wavelength capacity is OC-48. As aforementioned, only the fractional wavelength capacity is considered for traf c grooming in light trail networks.

Intuitively, if. Light trail architecture for grooming Table 19.1. Traf c matrix for a 10-node network 1 1 2 3 4 5 6 7 8 9 10 0 VS .NET pdf417 2d barcode 3 9 6 0 11 0 0 4 0 2 5 0 3 0 6 3 2 5 5 9 3 8 8 0 8 10 4 10 6 11 9 4 11 4 7 0 4 4 2 2 8 3 5 3 0 3 2 0 3 11 3 8 7 6 8 5 10 5 2 0 5 1 2 10 7 5 1 11 5 11 2 0 11 3 1 8 7 2 8 2 10 6 1 0 1 2 9 8 3 0 1 5 8 6 5 0 1 10 10 1 6 1 2 3 0 0 5 0. Table 19.2. ILP: Resulting light trails T lmax = 4 No. 1 2 3 4 5 6 7 8 9 10 .net framework PDF417 11 12 13 Light trails {2, 3, 4, 7, 9} {3, 2, 6, 8, 10} {4, 3, 2, 1, 5} {4, 7, 6, 8, 10} {5, 1, 2, 3, 4} {5, 1, 6, 7, 9} {5, 1, 6, 8, 10} {5, 8, 7, 9, 10} {9, 7, 4, 3, 2} {9, 7, 6, 1, 5} {10, 8, 6, 2, 3} {10, 8, 6, 7, 4} {10, 9, 7, 8, 5} Hops 4 4 4 4 4 4 4 4 4 4 4 4 4 Accommodated s-d pairs (3, 7) (3, 4) (2, 7) (2, 9) (4, 9) (2, 6) (2, 8) (2, 10) (3, 6) (3, 8) (3, 10) (4, 1) (4, 3) (4, 5) (3, 5) (1, 5) (3, 1) (2, 1) (6, 8) (6, 10) (4, 6) (4, 7) (4, 8) (4, 10) (1, 2) (1, 3) (1, 4) (5, 2) (5, 3) (5, 4) (2, 4) (1, 7) (1, 9) (6, 9) (1, 8) (1, 10) (1, 6) (5, 6) (9, 10) (8, 9) (5, 9) (5, 8) (5, 7) (7, 9) (5, 10) (9, 2) (9, 3) (9, 4) (7, 3) (7, 2) (3, 2) (7, 6) (6, 5) (9, 1) (9, 6) (6, 1) (10, 3) (10, 2) (8, 3) (8, 2) (6, 3) (6, 2) (2, 3) (10, 6) (10, 4) (7, 4) (6, 4) (6, 7) (8, 4) (8, 6) (8, 7) (10, 9) (10, 8) (10, 7) (10, 5) (9, 8) (9, 7) (9, 5) (8, 5) (7, 8) (7, 5) Load 23 32 34 22 48 21 27 44 39 25 44 35 38.

every s-d pair requires a capacity greater than half of the full-wavelength capacity, no two requests can be groomed on a light trail. Thus, it is assumed that most s-d pairs request a small fractional capacity of the full-wavelength channel. Hence, integer numbers between 0 and 11 are randomly generated as requested capacities in the experiments.

The resulting traf c matrix is shown in Table 19.1..

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