Open AccessDETERMINATION OF VARIANCE OF TIME TO RECRUITMENT WITH INTER-DECISION TIME AS GEOMETRIC PROCESS WHEN THE THRESHOLD HAS THREE COMPONENTS
Author(s) -
A. Lakshmi Devi,
Brijesh Kumar
Publication year - 2021
Publication title -
ymer
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.103
H-Index - 5
ISSN - 0044-0477
DOI - 10.37896/ymer20.11/19
Subject(s) - independent and identically distributed random variables , random variable , univariate , variance (accounting) , exponential function , variable (mathematics) , process (computing) , exponential distribution , probabilistic logic , statistics , mathematics , sequence (biology) , computer science , mathematical optimization , multivariate statistics , economics , mathematical analysis , accounting , biology , genetics , operating system
In this paper, the problem of time to recruitment is analyzed for a single grade manpower system using an univariate CUM policy of recruitment. Assuming policy decisions and exits occur at different epochs, wastage of manpower due to exits form a sequence of independent and identically distributed exponential random variables, the inter-decision times form a geometric process and inter-exist time form an independent and identically distributed random variable. The breakdown threshold for the cumulative wastage of manpower in the system has three components which are independent exponential random variables. Employing a different probabilistic analysis, analytical results in closed form for system characteristics are derived