Optimal Mission Termination Decisions in Condition-Monitored Systems with Gamma-Process Degradation  
Author

Zijian Kang

 

Co-Author(s)

Yu Zhao

 

Abstract Condition-monitored systems usually accumulate irreversible degradation while carrying out operational missions, and this gradual damage may eventually develop into severe failure. In such settings, the core managerial challenge is not only to monitor health evolution, but also to determine when continued
operation ceases to be economically and operationally justified. To address this issue, this paper develops a dynamic mission termination framework within a Markov decision process. The degradation trajectory is described by a Gamma process so that cumulative and nonrecoverable deterioration can be represented
in a physically meaningful way. Meanwhile, a stage-reward mechanism is introduced to quantify the return generated during each interval between successive inspections. Under this formulation, the decision maker compares the prospective value of continuation with the cost consequences of proactive termination and system failure. Furthermore, an analysis of the value function establishes that the optimal rule has a control-limit structure, meaning that termination becomes optimal once the observed degradation exceeds a stage-dependent threshold. Numerical results confirm that the proposed policy can reconcile reliability protection with economic performance in a transparent and implementable manner.

 

Keywords Gamma-Process, mission termination, degradation risk control
   
    Article #:  RQD2026-280
 

Proceedings of 31st ISSAT International Conference on Reliability & Quality in Design
August 5-7, 2026