Gradient Estimation for Multicomponent Maintenance Systems with Age-Replacement Policy

• 成果类型: Article
• 署名作者: Heidergott, Bernd; Farenhorst-Yuan, Taoying
• 署名单位: Vrije Universiteit Amsterdam; Vrije Universiteit Amsterdam; Tinbergen Institute
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.1090.0760
• 发表日期: 2010
• 页码: 706-718
• 关键词: infinitesimal perturbation analysis; measure-valued differentiation; Structural conditions; approximation

摘要

We consider multicomponent maintenance systems with an F-failure group age-replacement policy: it keeps failed components idling until F components are failed and then replaces all failed components together with the nonfailed components whose age has passed the critical threshold age theta(n) for components of type n. With each maintenance action, costs are associated. We derive various unbiased gradient estimators based on the measure-valued differentiation approach for the gradient of the average cost: Each estimator has its own domain of applicability. We also compare the performance of our gradient estimators when applied to stochastic optimization with other general gradient-free methods.