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Purpose

The purpose of this paper is to study a geometric process (GP) maintenance model and policy for a repairable system.

Design/methodology/approach

Lam first introduced the GP and its application to maintenance model. Assume that a replacement policy N is applied by which the system will be replaced by a new, identical one following the Nth failure.

Findings

For a deteriorating system, an optimal replacement policy is determined analytically, and the monotonicity properties of the optimal replacement policy are then studied.

Originality/value

For an improving system, the paper shows that the optimal replacement policy is the ∞ policy, i.e., the policy without replacement.

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