S. Dhivya, A. Srinivasan
Department of Mathematics
Srinivasan Engineering College
Perambalur, 621 212, Tamil Nadu, INDIA
PG & Research department of Mathematics
Bishop Heber College
Trichy, 17, Tamil Nadu, INDIA

Abstract. A marketing organization consisting of two grades with policy and transfer decisions forming two different sources of depletion is considered. The policy decisions are classified into two different types according to the intensity of attrition. In this paper the problem of time to recruitment for this organization is analysed when the breakdown threshold, a level of maximum allowable manpower depletion, has three components namely normal threshold of depletion of manpower, threshold of frequent breaks of existing workers and threshold of backup or reservation of manpower sources. A mathematical model is constructed and using a univariate policy of recruitment based on shock model approach, analytical results are obtained to estimate the variance of the time to recruitment by considering different forms of the breakdown threshold for the cumulative loss of manpower in the organization. The results are numerically illustrated by assuming specific distributions and relevant findings are presented.

Received: August 17, 2014

AMS Subject Classification: 990B70, 91B40, 91D35

Key Words and Phrases: two grade manpower system, two sources of depletion of manpower, two types of policy decisions, breakdown threshold of depletion with three components, shock model approach, univariate policy of recruitment and performance measures

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