Modeling The Efficiency Of Manpower Allocation In An Academic Department

Authors

  • L. I. Igbinosun Department of Mathematics, University of Uyo, P. M. B. 1017, Uyo, Nigeria Author
  • N. R. Udoenoh Department of Mathematics, University of Uyo, P. M. B. 1017, Uyo, Nigeria Author
  • S. Ologun Department of Mathematics, University of Uyo, P. M. B. 1017, Uyo, Nigeria Author

DOI:

https://doi.org/10.60787/jnamp.vol69no1.506

Keywords:

Traffic optimization, Traffic Intensity, Markov Chains

Abstract

This paper presents the application of Markov Chain in modeling the efficiency of manpower in an academic department during students' registration. The system is formulated as a finite-source queuing model where students arrive for registration at a given rate, and staff serve them at an exponential service rate. Key performance metrics such as the expected number of students in the system, busy and idle periods, and waiting times are derived. Simulation shows the system's evolution over time; the queue decreases and staff transition from fully busy to idle as fewer students remain. This analysis helps optimize staffing and resource allocation during peak registration periods.

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Author Biography

  • S. Ologun, Department of Mathematics, University of Uyo, P. M. B. 1017, Uyo, Nigeria

     

     

References

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Published

2025-05-11

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Articles

How to Cite

Modeling The Efficiency Of Manpower Allocation In An Academic Department. (2025). The Journals of the Nigerian Association of Mathematical Physics, 69(1), 165-174. https://doi.org/10.60787/jnamp.vol69no1.506

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