Correlated random variables in manpower planning – a shock model approach

Shock models it is usually assumed that the interarrival times between shocks are i.i.d random variables. In manpower model discussed here is assumed that there is loss of manpower to a random extent at every decision epoch at which revised policies regarding wages, incentives and targets are announced. When the cumulative loss of manpower on successive occasions crosses the threshold level, the breakdown of the organization occurs which in turn leads to recruitment. Here to discuss the model-1 is assumed that the interarrival times between successive decision epochs are not independent but correlated. However, the independence of the random amount of damages on successive decisions is not relaxed. In model-2 is assumed that the amount of depletion of manpower at every decision making epoch depends upon the interarrival time between the previous decision. For better understanding of the above model provided by the numerical illustration.