Combined m‐consecutive and k‐out‐of‐n sliding window systems

Combined m‐consecutive and k‐out‐of‐n sliding window systems

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Article ID: iaor20121855
Volume: 219
Issue: 1
Start Page Number: 105
End Page Number: 113
Publication Date: May 2012
Journal: European Journal of Operational Research
Authors: ,
Keywords: programming: multiple criteria, programming: integer
Abstract:

This paper proposes a new model that generalizes the linear multi‐state sliding window system. In this model the system consists of n linearly ordered multi‐state elements. Each element can have different states: from complete failure up to perfect functioning. A performance rate is associated with each state. The system fails if at least one of the following two conditions is met: (1) there exist at least m consecutive overlapping groups of r adjacent elements having the cumulative performance lower than V; (2) there exist at least k arbitrarily located groups of r adjacent elements having the cumulative performance lower than W. An algorithm for system reliability evaluation is suggested which is based on an extended universal moment generating function. Examples of evaluating system reliability and elements’ reliability importance indices are presented. Optimal sequencing of system elements is demonstrated.

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