Modeling and analysis for time redundant systems with a given mission window

Abstract Redundant systems take an important role in the field of reliability. Most of related researches have considered component redundancy, however, time redundancy which is also very common in practice hasn’t been discussed enough. In this paper, we assume that the time needed for a mission cannot be negligible and the mission must be completed in a given mission window which is long enough for several mission repeated tries. Based on this assumption, the main model is investigated together with its three special cases by the Laplace transform method, and their properties and relationships are discussed briefly. An extended model with different failure modes is taken into consideration by using the Monte Carlo method, and some extended discussions are given to compare the Laplace transform method with the Monte Carlo simulation method. The optimal analysis for cost and revenue are also presented for the main model. Then numerical examples are shown to illustrate results obtained in this paper. Finally, conclusions and discussions are presented.

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