Abstract
In this paper, a multi-machine replacement problem is studied. T(1) represents an existing technology currently in operation; and machine T(2) represents a new technology breakthrough of which introduction time is uncertain. Economies of scale yield age-group based optimal replacement policies. This, in return, provides substantial reduction in the complexity of the problem. Sufficient conditon limit the amount of information needed to determine regenerative type optimal solutions to the infinite horizon problem.
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Goldstein, Z., Mehrez, A. A Concave Cost Stochastic Replacement Problem. OPSEARCH 35, 13–31 (1998). https://doi.org/10.1007/BF03398536
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DOI: https://doi.org/10.1007/BF03398536