Optimal group maintenance policies with continuous and periodic inspections
Management Science
(m,T) group maintenance policies
Management Science
An M/G/1 type approach to the approximation of the slot-occupancy pattern in a DQDB network
Performance Evaluation - Special issue: discrete-time models and analysis methods
Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
Congestion detection in ATM networks
Performance Evaluation
The solution of quasi birth and death processes arising from multiple access computer systems
The solution of quasi birth and death processes arising from multiple access computer systems
Fluid queues to solve jump processes
Performance Evaluation - Performance 2005
Matrix-analytic methods for fluid queues with finite buffers
Performance Evaluation
Optimal age-replacement policy for repairable products under renewing free-replacement warranty
International Journal of Systems Science
Integrated production planning and preventive maintenance in deteriorating production systems
Information Sciences: an International Journal
Robotics and Computer-Integrated Manufacturing
Operations Research Letters
Basic optimality results for Bayesian group replacement policies
Operations Research Letters
Optimal m-failure policies with random repair time
Operations Research Letters
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This paper considers group maintenance problems for an unreliable service system with N independent operating servers and a Markovian queue. A specific class of group maintenance policies is developed where the repair is started as soon as the number of failed servers reaches a predetermined threshold. This is actually a Quasi Birth-and-Death Process with two dimensions, the level for the arrival/service process and the phase for the failure/repair process. Two models with positive repair time and another with instantaneous repair are considered. The matrix geometric approach is applied to calculate the steady state distribution and the expected average cost for all three models. For the theoretical analysis, this paper proves that there exists an optimal group maintenance parameter m^*, which can find the minimal average cost for all three models. Additionally, some mathematical properties and sensitivity analyses are numerically demonstrated based on various parameters. Finally, the comparisons of these three proposed models in many aspects are also discussed.