Age Replacement Under Alternative Cost Criteria
Age Replacement Under Alternative Cost Criteria
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DOI：
10.1287/mnsc.30.3.358
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发表时间：
1984-03
影响因子：
5.4
通讯作者：
J. Ansell;A. Bendell;S. Humble
中科院分区：
文献类型：
--
作者：
J. Ansell;A. Bendell;S. Humble
由于有限时间范围内最优替换问题的复杂性，在文献和实践中已经采用了基于固定年龄替换政策的各种渐近准则。本文考虑了三种替代成本准则下最优策略之间的关系。在这两种情况下的会计成本的排序，并与风险率递增的分布的最佳更换时间的顺序推导出来。对于有限的时间范围内的政策相比，最佳的顺序和固定年龄的更换政策，通过伽马分布的例子，以前研究的巴洛和Proschan巴洛，R。E、F.普罗尚1962.计划更换。K. J. Arrow，S. Karlin，W. L. Smith，eds.应用概率与管理科学研究。斯坦福大学出版社，加利福尼亚州斯坦福大学;巴洛河E、F.普罗尚1965.可靠性数学理论威利，纽约。
Due to the complexity of optimum replacement problems over finite lime horizons various asymptotic criteria based upon fixed age replacement policies have been employed in the literature and in practice. In this paper the relationships between the optimum policies under three alternative cost criteria are considered. An ordering of the accounting costs under two of these is obtained, and for distributions with Increasing Hazard Rate an ordering of the optimum replacement time is derived. For a finite time horizon the policies are compared to the optimal sequential and fixed-age replacement polices through the example of a gamma distribution previously investigated by Barlow and Proschan Barlow, R. E., F. Proschan. 1962. Planned replacement. K. J. Arrow, S. Karlin, W. L. Smith, eds. Studies in Applied Probability and Management Science. Stanford University Press, Stanford, Cal.; Barlow, R. E., F. Proschan. 1965. Mathematical Theory of Reliability. Wiley, New York..