### Use the method of Runge Kuta "Runge - Kutta" to find a numerical solution for the system to wait (C2 / C1 / 2/3)

*Journal of Research Diyala humanity*

2009, Volume , Issue 39, Pages 345-357

2009, Volume , Issue 39, Pages 345-357

#### Abstract

Can reach a state of stability (Steady state) easily by analytical solutions for the systems to wait (M / M / m / N, M/M/m/1) and that when the probability distribution of times of access interface between the customer and the last times of the service of these systems is the distribution exponential (Exponential Distribution), and that these systems are common in most books queues, but when the probability distribution of times of access interface and Times of the service is Lacey (Non-Exponentially), the access to the state of stability by analytical solutions be complex example, the systems (Ck / CL / m / n, Ck/CL/1/N, M / CL / m / n) and other systems, due to the large number of freak experienced by the customer at each station, whether at the stage of access or service. Therefore, in this research were used mathematical method (Runge Kuta with the fourth rank) to find a numerical solution of the form wait (C2/C1 / 2/3) and that by finding a matrix of transition rate and write differential equations and therefore have been prepared a computer program to solve these equations .

#### Keywords

mathematical method, Runge Kuta with the fourth rank to find a numerical solution of the form wait, C2/C1 / 2/3#### Metrics