Optimal Mission Duration for Partially Repairable Systems Operating in a Random Environment

Maxim Finkelstein () and Gregory Levitin ()
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Maxim Finkelstein: University of the Free State
Gregory Levitin: The Israel Electric Corporation

Methodology and Computing in Applied Probability, 2018, vol. 20, issue 2, 505-516

Abstract: Abstract As a system failure during a mission can result in considerable penalties, at some instances it is more cost-effective to terminate operation of a system than to attempt to complete its mission. This paper analyzes the optimal mission duration for systems that operate in a random environment modeled by a Poisson shock process and can be minimally repaired during a mission. Two independent sources of failures are considered and for both cases, the failures are classified as minor or terminal in accordance with the Brown-Proschan model. Under certain assumptions, an optimal time of mission termination is obtained. It is shown that, if for some reason a termination is not technically possible at this optimal time, the mission should be terminated within a specific time interval and, if this is not possible, it should not be terminated beyond this interval. Illustrative examples are presented. The influence of mission and system parameters on the mission termination interval is demonstrated.

Keywords: Premature mission termination; External shocks; Expected profit; Minimal repair; Optimization; 90B25 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s11009-017-9571-6

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