### Table 5.Non-regular distributions

in Towards stochastic constraint programming: A study of online multi-choice knapsack with deadlines

2001

"... In PAGE 13: ...1, events are generated according to the distributions that are known to the algorithms. On the contrary, this section evaluates the robustness of our approaches, when based on a slightly erroneous estimation of the input distribu- tion (as in real life): wrong law ( Table5 ) or wrong average (Table 6). Table 5.... ..."

Cited by 8

### Table 2. Regular power substation distribution tasks Regular Power Distribution

"... In PAGE 5: ... In a distribution substation power is quot;stepped down quot; from the high voltages used for transmission to the lower voltages needed for customer distribution. Table2 lists the regular 4 SCADA includes all IED and other programmable devices. usage tasks for the delivery of power to customers.... ..."

### Table 3: Performance measures for a regular distribution of points of interest

2003

Cited by 14

### Table 1: BlockFactors for Various Regular Distributions

### Table 1: Index mapping for regular data distributions. Block Cyclic Cyclic(b)

1993

"... In PAGE 6: ... 0 1 2 3 4 5 10 8 9 11 6 7 12 13 14 15 16 17 18 19 20 21 22 23 12 10 11 13 14 6 8 5 7 9 15 16 17 18 19 3 0 1 2 4 B Tmp A 0 1 2 3 Proc f f f f f f f Figure 1: Illustration of execution of array statement B(0 : 12 : 2) = f(A(0 : 18 : 3)) for block distributed arrays A(0 : 23) and B(0 : 19) on four processors. between the global index, the local index and the processor index for regular data distributions are shown in Table1 . A processor is said to own the elements of the distributed array which are allocated to it.... ..."

Cited by 80

### Table 1: Index mapping functions for regular data distributions. BLOCK CYCLIC CYCLIC(b)

1994

"... In PAGE 5: ... Techniques developed in [11] can be used for the array redistribution in the general case. For identity alignments, the relationships between the global index, the local index and the processor index for regular data distributions of a one-dimensional array are shown in Table1 . The indexing for arrays A and A loc begins at zero and the processors are numbered from 0 to P ? 1.... In PAGE 8: ... For example, under a BLOCK distribution the array is partitioned into segments of size NP . The relationship between the global index k, the processor index p, and the local index l as shown in Table1 can be represented by the equality eN k = eP p eNP l ; where p = k div NP and l = k mod NP . In the above identity, the index of vector basis eP p is associated with the processor index on which element A(k) is located after being distributed using a BLOCK distribution.... In PAGE 9: ... 2.1 implies the relations between the indices illustrated in Table1 , i.... ..."

Cited by 8

### Table 1: Index mapping functions for regular data distributions. BLOCK CYCLIC CYCLIC(b)

1994

"... In PAGE 5: ... Techniques developed in [11] can be used for the array redistribution in the general case. For identity alignments, the relationships between the global index, the local index and the processor index for regular data distributions of a one-dimensional array are shown in Table1 . The indexing for arrays A and A loc begins at zero and the processors are numbered from 0 to P ? 1.... In PAGE 8: ... For example, under a BLOCK distribution the array is partitioned into segments of size NP . The relationship between the global index k, the processor index p, and the local index l as shown in Table1 can be represented by the equality eN k = eP p eNP l ; where p = k div NP and l = k mod NP . In the above identity, the index of vector basis eP p is associated with the processor index on which element A(k) is located after being distributed using a BLOCK distribution.... In PAGE 9: ... 2.1 implies the relations between the indices illustrated in Table1 , i.... ..."

Cited by 8

### Table 1: Index mapping functions for regular data distributions. BLOCK CYCLIC CYCLIC(b)

"... In PAGE 5: ... Techniques developed in [12] can be used for the array redistribution in the general case. For identity alignments, the relationships between the global index, the local index and the processor index for regular data distributions of a one-dimensional array are shown in Table1 . The indexing for arrays A and A loc begins at zero and the processors are numbered from 0 to P ? 1.... In PAGE 7: ... For example, under a BLOCK distribution the array is partitioned into segments of size NP . The relationship between the global index k, the processor index p, and the local index l as shown in Table1 can be represented by the equality eN k = eP p eNP l ; where p = k div NP and l = k mod NP . In the above identity, the index of vector basis eP p is associated with the processor index on which element A(k) is located after being distributed using a BLOCK distribution.... In PAGE 8: ... 2.2 implies the relations between the indices illustrated in Table1 , i.... ..."

### Table 1: Index mapping functions for regular data distributions. BLOCK CYCLIC CYCLIC(b)

"... In PAGE 5: ... Techniques developed in [12] can be used for the array redistribution in the general case. For identity alignments, the relationships between the global index, the local index and the processor index for regular data distributions of a one-dimensional array are shown in Table1 . The indexing for arrays A and A loc begins at zero and the processors are numbered from 0 to P ? 1.... In PAGE 7: ... For example, under a BLOCK distribution the array is partitioned into segments of size NP . The relationship between the global index k, the processor index p, and the local index l as shown in Table1 can be represented by the equality eN k = eP p eNP l ; where p = k div NP and l = k mod NP . In the above identity, the index of vector basis eP p is associated with the processor index on which element A(k) is located after being distributed using a BLOCK distribution.... In PAGE 8: ... 2.2 implies the relations between the indices illustrated in Table1 , i.... ..."