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March 6, 2026Scientific Reports0 citationsOpen Access

Workforce restoration time analysis for a two grade manpower system under heavy tail distribution and dual regime decisions latency

KPK. ParameswariKKK. Rajesh KannanAMA. Menaga

Key Points

  • This research aims to analyze workforce restoration time affected by heavy-tailed distributions and dual-regime decision processes.
  • Developed four probabilistic models for manpower systems with grade-specific breakdown limits.
  • Utilized Lomax distribution to derive closed-form formulas for workforce restoration time.
  • Examined the effects of homogeneous and heterogeneous attrition rates on WRT.
  • Conducted simulation tests to measure sensitivity of restoration time to various parameters.
  • Found that workforce restoration time exhibits a direct and linear dependency on attrition rate and decision parameter.
  • Restoration time decreases as decision activity increases, confirming model predictions.
  • Temporal dependencies slightly increase the restoration period, supported by a correlation parameter analysis.
  • Model predictions showed statistical stability with tight confidence ranges.

Abstract

Workforce restoration time (WRT) and man power planning are very essential for administrative as well as production oriented organizations. In recent days, several researchers worked on two-grade manpower system with a homogeneous attrition rate to obtain workforce restoration time. In the present paper, a stochastic methodology for examining workforce restoration time in a two-grade manpower system that is impacted by heavy-tailed threshold behaviors and organizational decision latencies is presented and four probabilistic models are developed to describe grade-specific breakdown limits under both independent and correlated dual-regime choice processes for inter-decision time. To achieve this, Lomax distribution is used to obtain the closed-form formulas for the mean and variance of workforce restoration time by taking into account both homogeneous and heterogeneous attrition rates, are obtained. Our results reveal that ET shows a direct and almost linear dependency on c and, and it decreases monotonically as decision activity (K) increases. Temporal dependencies slightly lengthen the restoration period, as confirmed by the correlation parameter R, which has a less pronounced but steady effect. It is supported by the simulation tests that measure the sensitivity of restoration time with the help of various parameters like attrition rate c, inter decision interval, decision correlation R, and decision count K. Further, our model predictions are statistically stable with tight confidence ranges.

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Cite This Study

Parameswari et al. (2026) studied this question.

synapsesocial.com/papers/69aa6ee2531e4c4a9ff590c2https://doi.org/10.1038/s41598-026-40851-6
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