Expected Time for Attainment Threshold Level A Shock Model Approach

Jeeva M., Rajagopal Rajalakshmi, William Martin L. and Yadavalli V. S. S.
Additional contact information
Jeeva M.: Department of Mathematics, Ethiraj College, Chennai, Tamil Nadu, India – 600008
Rajagopal Rajalakshmi: Faculty of Natural Sciences, Dept of Applied Mathematics, Debub University, Post Box No:05, Awassa, Ethiopia
William Martin L.: Department of Statistics, Loyola College, Chennai, Tamil Nadu, India – 600034
Yadavalli V. S. S.: Dept. of Industrial & System Engineering, University of Pretoria, Pretoria 0002, South Africa

Stochastics and Quality Control, 2004, vol. 19, issue 1, 97-105

Abstract: Frequent wastage or exit of personnel are common in many administrative and production oriented organizations. Once the accumulated number of exits from the organization reaches a certain threshold level, it could be viewed as a “breakdown point”. The time to attain breakdown point is an important characteristic for the management of the organization. In this paper, a shock model approach is proposed to obtain the expectation and variance of the time to attain the threshold level. Numerical and graphical illustrations are provided to illustrate the practical use of the model.

Keywords: Exponential Distribution; Geometric Distribution; Shock Model; Threshold Time (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1515/EQC.2004.97

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