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Optimal Staffing Models in Dynamic Organizations: A Renewal-Theoretic Approach to Manpower Planning with Stochastic Employee Turnover

Author: Anumolu Goparaju, Subash Chandrabose Gandhi
Publisher: Metropolitan Journal Of Academic Multidisciplinary Research
Published: 2025
Section: School of Mathematics and Computing

Abstract

The paper includes a stochastic model of the optimal manpower planning in dynamic organizational systems based on 
the renewal theory of employee turnover. We come up with a multi-level hierarchical staffing model, which involves 
random departure times, replacement processes based on skills and cost optimization in the presence of uncertainty. 
The offered methodology expands classical renewal theory by adding state-dependent renewal functions and multi
dimensional counting processes to the dynamics of the contemporary workforce. The theory we have developed 
provides closed-form solutions to optimal staffing levels when subjected to a number of organization constraints and 
Monte Carlo simulations confirm the strength of the model when it comes to a number of industries. The empirical 
validation based on the data of three multinational corporations shows that the workforce stability (15-23% decrease 
in the understaffing cases) and cost efficiency (12-18% decrease in recruitment costs) has improved significantly as 
opposed to the traditional deterministic methods. The practical applicability of the model is further facilitated by the 
fact that development of adaptive algorithms is done to suit real-time organizational changes and external market 
dynamics.