Moutaz Fakhry, Yuri Granik, et al.
SPIE Photomask Technology + EUV Lithography 2011
We consider the problem of interleaving sequences of positive and negative numbers in order to maximize the minimum, overall prefixes p of the interleaved sequence, of the sum of the numbers in p. A simple and efficient offline solution is given. We also consider an online version of the problem. Under a cost model suitable for the prefetching application that motivates the problem, a strongly competitive online algorithm is given. These problems abstract two practical problems of scheduling data prefetches in a multiprogrammed or multithreaded computing environment.
Moutaz Fakhry, Yuri Granik, et al.
SPIE Photomask Technology + EUV Lithography 2011
Juliann Opitz, Robert D. Allen, et al.
Microlithography 1998
Tong Zhang, G.H. Golub, et al.
Linear Algebra and Its Applications
A.R. Gourlay, G. Kaye, et al.
Proceedings of SPIE 1989