A1419
Title: Algorithmic modeling of a complex k-out-of-n system with corrective and preventive repair and Bernoulli vacation policy
Authors: Juan Eloy Ruiz-Castro - University of Granada (Spain)
Mohammad Dawabsha - ARAB AMERICAN UNIVERSITY (Palestine) [presenting]
Abstract: The algorithmic modeling and optimization of complex reliability systems is of great interest in this field. In this work, a k-out-of-n: G system is modeled in which multi-state units are subject to multiple events, preventive maintenance, and a vacation policy of the repair facility. Each unit may experience either repairable or non-repairable internal failures, as well as external shocks. Each external shock to the system can cause wear in the units, an extreme failure, or a modification in their internal operating behavior. Preventive maintenance is also introduced when a critical level of degradation is reached. All events are communicated to the repairer through monitoring. Therefore, there are two tasks to be carried out in the repair channel: corrective repair and preventive maintenance. To optimize the system, a Bernoulli vacation policy is introduced in the repair facility, depending on the number of operational units within it. The system is algorithmically modeled using matrix-analytic methods and Markovian arrival processes with marked arrivals. Multiple performance measures are constructed, and costs and associated measures are introduced. The entire study is conducted under both transient and stationary regimes using matrix-analytic methods. For model optimization, a Pareto multi-objective optimization framework is introduced. An example is presented to show the versatility of the work.
