document: A geometric process equivalent model for a multistate degenerative system In this paper , a monotone process model for a one-component degenerative system with k +1 states -LRB- k failure states and one working state -RRB- is studied . We show that this model is equivalent to a geometric process -LRB- GP -RRB- model for a two-state one component system such that both systems have the same long-run average cost per unit time and the same optimal policy . Furthermore , an explicit expression for the determination of an optimal policy is derived
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