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A stochastic model for the expected time to recruitment in a two grade manpower system having correlated inter-decision times and constant combined thresholds. (English) Zbl 1215.90037

Summary: An organization having two grades in which depletion of manpower occurs at every decision epoch is considered. Using univariate max policy of recruitment, based on shock model approach mathematical model is constructed. It is assumed that the system has constant combined threshold and the inter-decision times are exchangeable and constantly correlated exponential random variable. The mean and variance of the time to recruitment are derived for the above model. The analytical results are substantiated with numerical illustrations.

MSC:

90B70 Theory of organizations, manpower planning in operations research
91B40 Labor market, contracts (MSC2010)
91D35 Manpower systems in sociology