A Renewal Decision Problem
A Renewal Decision Problem
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DOI：
10.1287/mnsc.24.5.554
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发表时间：
1978
影响因子：
5.4
通讯作者：
C. Derman;G. Lieberman;S. Ross
中科院分区：
文献类型：
--
作者：
C. Derman;G. Lieberman;S. Ross
一种系统，机动车辆必须运行t个时间单位。某个组件，例如，电池对于其操作是必不可少的，并且每次电池失效时都必须更换。有n种类型的替换组件。类型i的替换成本为Ci，并且具有随机寿命，其分布取决于i。当系统终止时，没有与使用中的特定组件相关的残值。问题是从n种类型中分配初始组件和后续替换，以便最小化在t个时间单位内提供操作组件的总期望成本。本文处理这个问题时，寿命分布是指数的每一种类型，当t是固定的或截尾指数分布。还考虑了相关问题。
A system e.g., a motor vehicle must operate for t units of time. A certain component e.g., a battery is essential for its operation and must be replaced each time it fails. There are n types of replacement components. A type i replacement costs Ci and has a random life with distribution depending on i. There is no salvage value associated with the particular component in use when the system terminates. The problem is to assign the initial component and subsequent replacements from among the n types so as to minimize the total expected cost of providing an operative component for the t units of time. This paper treats this problem when the life distributions are exponential for each type and when t is fixed or has a truncated exponential distribution. Related problems are also considered.