Abstract. We address parallel jobs scheduling problem for computational GRID systems. We concentrate on two-level hierarchy scheduling: at the first level broker allocates computational jobs to parallel computers. At the second level each computer generates schedules of the parallel jobs assigned to it by its own local scheduler. Selection, allocation strategies, and efficiency of proposed hierarchical scheduling algorithms are discussed.

No abstract

No abstract

We consider a problem to pack rectangles into several semi-infinite strips of certain widths. We suggest two simply realised online algorithms, that is, algorithms which pack rectangles just at the moments of their arrivals. It is shown that the accuracy of the former algorithm cannot be approximated by any absolute constant. The latter algorithm guarantees a constant multiplicative accuracy, and the obtained estimate of the multiplicative accuracy is unimprovable.

No abstract