ApproxC: Approximate, dynamic iterative computation of the stability...

In hpcwld: High Performance Cluster Models Based on Kiefer-Wolfowitz Recursion

Approximate, dynamic iterative computation of the stability constant for a workload of a High Performance Cluster model

Description

This function calculates the constant C that is used in the stability criterion of a supercomputer model, which is basically the following: lambda/mu<C, where lambda is the task arrivals rate, and mu is the service intensity. The constant depends only on the number of servers in the model and the distribution of classes of customers, where class is the number of servers required. This method of calculation allows to stop on some depth of dynamics, thus allowing to calculate an approximate value in faster time. The constant is valid only for the model with simultaneous service.

Usage

ApproxC(s, p, depth = 3)

Arguments

s	number of servers in the model
p	vector of class distribution
depth	By default calculates up to groups of 3 tasks. When depth=s, calculates the exact value. However, depth=s might take a bit more time.

Value

The value of a constant C in the relation lambda/mu < C is returned

Examples

ApproxC(s=2,p=c(.5,.5), depth=3)

hpcwld documentation built on March 19, 2024, 3:09 a.m.