S. Mythili, R. Ramanarayanan
Department of Mathematics
Vel Tech Multi Tech Dr. Rangarajan
Dr. Sakuntala Engineering College
Avadi, Chennai, Tamil Nadu, INDIA
Department of S&H
Vel Tech Dr. RR & Dr. SR Technical University
Avadi, Chennai, Tamil Nadu, INDIA

Abstract. In this paper, we consider the Manpower System of an organization with two groups. Breakdown occurs in the two groups of the Manpower System due to attrition process. Group consists of employees other than top management level executives; group consists of top management level executives. Two models are studied in this paper. In Model-1, group is exposed to Cumulative Shortage Process (CSP) due to attrition and group has an exponential life distribution. In Model-2, both the groups and are exposed to CSP and have exponential thresholds. Inter occurrence time of shortages to them have exponential distribution. In each model, two cases are discussed. In one case, after the threshold, recruitment policy to compensate the shortages one by one is followed. Joint Laplace transforms of Time to Recruit and Recruitment time have been found. In the second case, recruitment policy of filling vacancies simultaneously is followed. Here, marginal Recruitment time distributions have been obtained.

Received: February 6, 2012

AMS Subject Classification: 90B05

Key Words and Phrases: manpower system, attrition, shortage, cumulative shortage process

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