Kinetics of multidimensional fragmentation

Fragmentation of Multidimensional Databases

As diverse demands are placed on On-Line Analytical Processing (OLAP) systems, distribution of the supporting multidimensional database (MDDB), and thus fragmentation, become an issue. We consider a recent multidimensional data model, and show that two basic strategies of fragmentation are possible: slice 'n dice and sever. The operators that realise these methods are composed from the basic se...

Kinetics of fragmentation

A general discussion of the kinetics of continuous, irreversible fragmentation processes is presented. For a linear process, where particle breakup is driven by an external force, we develop a scaling theory to describe the evolution of the cluster size distribution. We treat the general case where the breakup rate of a cluster of mass x varies as xi. When I > 0, corresponding to larger cluster...

Kinetics of fragmentation-annihilation processes.

We investigate the kinetics of systems in which particles of one species undergo binary fragmentation and pair annihilation. In the latter, non-linear process, fragments react at collision to produce an inert species, causing loss of mass. We analyse these systems in the reaction-limited regime by solving a continuous model within the mean-field approximation. The rate of fragmentation, for a p...

Aggregation–Fragmentation Processes and Wave Kinetics

Applying Vertical Fragmentation Techniques in Logical Design of Multidimensional Databases

In the context of multidimensional databases implemented on relational DBMSs through star schemes, the most effective technique to enhance performances consists of materializing redundant aggregates called views. In this paper we investigate the problem of vertical fragmentation of views aimed at minimizing the workload response time. Each view includes several measures which not necessarily ar...