multicast routing is one of the most important services in multi radio multi channel (mrmc) wireless mesh networks (wmn). multicast routing performance in wmns could be improved by choosing the best routes and the routes that have minimum interference to reach multicast receivers. in this paper we want to address the multicast routing problem for a given channel assignment in wmns. the channels...

On Line Analytical Processing (OLAP) aims at gaining useful information quickly from large amounts of data residing in a data warehouse. To improve the quickness of response to queries, pre-aggregation is a useful strategy. However, it is usually impossible to pre-aggregate along all combinations of the dimensions. The multi-dimensional aspects of the data lead to combinatorial explosion in the...

We construct a matrix model equivalent (exactly, not asymptotically), to the random plane partition model, with almost arbitrary boundary conditions. Equivalently, it is also a random matrix model for a TASEP-like process with arbitrary boundary conditions. Using the known solution of matrix models, this method allows to find the large size asymptotic expansion of plane partitions, to ALL order...

A partition of a positive integer n is a finite sequence of positive integers a1, a2, . . . , ak such that a1 + a2 + · · · + ak = n and ai+1 ≥ ai for all i. We say n is the size of the partition, ai is the ith part of the partition and we call p(n) the number of partitions of n. For instance the 11 partitions of n = 6 are 6, 15, 24, 33, 222, 123, 114, 1113, 1122, 11112 and 111111, i.e., p(6) = ...

Sample-size determination is often an important step in planning a statistical study—and it is usually a difficult one. Among the important hurdles to be surpassed, one must obtain an estimate of one or more error variances, and specify an effect size of importance. There is the temptation to take some shortcuts. This paper offers some suggestions for successful and meaningful sample-size deter...