Time to Recruitment for a Single Grade Manpower System with Two Types of Depletion Using Univariate CUM Policy of Recruitment

November 25, 2017 Posted by admin

Manju Ramalingam, B. Esther Clara and A. Srinivasan
PG and Research Department of Mathematics, Bishop Heber College, Trichy, TN, India

(Received 5 April 2017; received in revised form 9 September 2017; accepted 27 September 2017)

Abstract
In this paper, the problem of time to recruitment is studied for a single grade manpower system with voluntary and involuntary loss of manpower (depletion of manpower) due to n types of policy decisions with different attrition rates using univariate CUM policy of recruitment based on shock model approach. Two mathematical models are constructed and analytical results for the variance of time to recruitment are derived using a different probabilistic analysis when (i) the loss of manpower form a sequence of independent and identically distributed 2-stage hyper-exponential random variables (ii) for Model-I the inter-decision times are independent and identically distributed hyper-exponential random variables and (iii) for Model-II the inter-decision times form a geometric process. The influence of nodal parameters on the mean time to recruitment is studied numerically and relevant findings and conclusions are presented.

Keywords: Single grade manpower system, n types of decisions, voluntary and involuntary loss of manpower, geometric process, univariate CUM policy, mean and variance of time to recruitment.

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