ON THE COMPLETION TIME OF A JOB PROCESSED ON AN UNRELIABLE MACHINE

作     者：岳德权 涂菶生 

作者机构：Department of Mathematics Yanshan University Qinhuangdao China Department of Automation Nankai University Tianjin China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2001年第17卷第3期

页      面：418-425页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

基　　金：the National Key Project of China (No.970211017) and the NationalNatural Sciences Foundation of China (No.69674013) 

主　　题：Completion time interruption time service time unreliable machine Laplace transform order 

摘      要：In this paper, we consider the completion time of a job processed on an unreliable machine. Assume that the lifetime and the repair time of the machine and the service time of the job have general distributions. We obtain the Laplace-Stieltjes transforms and the expectations of the distributions of the completion time, the interruption time and the actual service time. Under some special cases, we derive sufficient and necessary (or sufficient) conditions such that the completion time is larger and smaller than the service time in the sense of the Laplace transform order (or the expectation), respectively