A Stochastic Model on Time to Recruitment in a Single Grade Manpower System with Cluster of Exits

Document Type : Primary Research paper


1 Assistant Professor in Mathematics, Nehru Memorial College (Autonomous), Puthanampatti, Trichy - 621 007, Tamil Nadu, India.

2 Assistant Professor in Mathematics, Rajah Serfoji Govt. College (Autonomous), Thanjavur - 613 005, Tamil Nadu, India.

3 Assistant Professor in Mathematics, SRM TRP Engineering College (SRM Group), Trichy- 621 105, Tamil Nadu, India.

4 Assistant Professor in Mathematics, National College (Autonomous), Karumandapam, Trichy - 620 001, Tamil Nadu, India.


In this paper, a single grade marketing organization is considered in which exits of personnel occur in clusters at random epochs. A suitable univariate recruitment policy based on cumulative damage process and shock model approach in reliability theory is used. Analytical result for variance of time to recruitment and expected total number of exits up to time to recruitment are obtained when (i) the number of clusters of exits forms a homogeneous Poisson process (ii) number of exits in each cluster forms a sequence of independent and identically distributed geometric random variables and (iii) the mandatory breakdown threshold is a positive integer valued random variable. The influence of nodal parameters on the performance measures is studied and relevant conclusions are presented.