应用概率统计
應用概率統計
응용개솔통계
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS
2013年
2期
213-224
,共12页
最优设计%加速退化试验%Gamma过程%Fisher信息量%可靠性
最優設計%加速退化試驗%Gamma過程%Fisher信息量%可靠性
최우설계%가속퇴화시험%Gamma과정%Fisher신식량%가고성
Optimal design%accelerated degradation test%Gamma process%Fisher informa-tion matrix%reliability
本文研究了基于Gamma过程恒定应力加速退化试验的优化设计问题.在D–最优和V –最优为准则下,确定了试验最优应力和各个应力下所分配的最优比例数.广义等价性定理被用来确保最优点的全局最优性.另外我们还研究了其平衡试验.最后,通过一个例子说明本文所提的方法,同时通过敏感性分析研究了优化点的稳键性.
本文研究瞭基于Gamma過程恆定應力加速退化試驗的優化設計問題.在D–最優和V –最優為準則下,確定瞭試驗最優應力和各箇應力下所分配的最優比例數.廣義等價性定理被用來確保最優點的全跼最優性.另外我們還研究瞭其平衡試驗.最後,通過一箇例子說明本文所提的方法,同時通過敏感性分析研究瞭優化點的穩鍵性.
본문연구료기우Gamma과정항정응력가속퇴화시험적우화설계문제.재D–최우화V –최우위준칙하,학정료시험최우응력화각개응력하소분배적최우비례수.엄의등개성정리피용래학보최우점적전국최우성.령외아문환연구료기평형시험.최후,통과일개례자설명본문소제적방법,동시통과민감성분석연구료우화점적은건성.
In this paper, optimal constant-stress accelerated degradation test plans are developed under the assumption that the degradation characteristic follows a Gamma processes. The test stress levels and the proportion of units allocated to each stress level are determined by D-criterion and V -criterion. The general equivalence theorem (GET) is used to verify that the optimized test plans are globally optimum. In addition, compromise test plans are also studied. Finally, an example is provided to illustrate the proposed method and a sensitivity analysis is conducted to investigate the robustness of optimal plans.