Optimal parallel algorithms for the ANSV (All Nearest Smaller Values)
problem are known on CREW, CRCW, and EREW PRAMs, and on the Hypercube.
In this paper, optimal parallel algorithms of constant time for the A
NSV problem are discussed on BSR (broadcasting with selective reductio
n), BSR with multiple criteria, and BSR+. The solution in this paper i
s the first constant time solution to the ANSV problem on any model of
computation. (C) 1998 Elsevier Science B.V.