Unemployment period quantitative approach through infinite servers queue systems

Abstract

This paper stands over the (Ferreira, Filipe and Coelho, 2014) work. There using results on the infinite servers queue systems with Poisson arrivals -M vertical bar G vertical bar infinity queues -busy period, it is presented an application of those queue systems in the unemployment periods time length parameters and distribution function study. It is now completed with an economic analysis aiming the evaluation of the assistance costs due. These queue systems are adequate to the study of many population processes, and this quality is brought in here. The results presented are mainly on unemployment periods length and their number in a certain time interval. Also, some questions regarding the practical applications of the outlined formulas are discussed.