Expected time to recruitment in single grade manpower system under correlated wastage

The concept of manpower planning is a very important role in Decision making problems. Many mathematical models have been discussed using different kinds of wastages and different type of distributions (see [1], [2]). Since then several authors [7]-[9] contributed to the development of the problem of time to recruitment in a single graded marketing organization involving only one threshold under different conditions. Since the number of exits in every policy decision-making epoch is unpredictable at the time, at which the cumulative loss of manhour crossing a single threshold is probabilistic, the organization has left with no choice except making recruitment immediately upon threshold crossing. Recently, Muthaiyan et. al. [6] have introduced and studied the system characteristics, that is, mean and variance of time to recruitment when the inter-decision times form an order statistics. A sequence of independent and identically distributed exponential random variables and the amount of wastage at each decision epoch forms a sequence of exchangeable and constantly correlated exponential random variables. Recall that, if the recruitment is necessary whenever the cumulative loss of manhour crosses the mandatory threshold. In view of this policy, the organization can plan the decision upon the time for recruitment. This present paper we extend the results in [5] for a single grade manpower system having loss of man-hours are exchangeable and constantly correlated exponential random variables that occur in the grade for the mathematical model which differ from each threshold for the loss of man-hour in the organization. The present paper is organized as follows: The model description is given in the second section. The mean and variance of the time to recruitment are obtained in the next section. Finally, the analytical results are numerically verified by assuming specific distributions, and the relevant conclusion is stated. IJISET International Journal of Innovative Science, Engineering & Technology, Vol. 2 Issue 7, July 2015. www.ijiset.com