On Optimal Replacement Policy for a Generalized Model

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Journal of Korean Society for Quality Management > Volume 31(3); 2003 > Article

Journal of Korean Society for Quality Management 2003;31(3): 185-.

일반화된 모델에 대한 최적 교체정책에 관한 연구

김달곤¹, 김순기², 정순여²

¹경상대학교 경영대학
²서강대학교 경영대학

On Optimal Replacement Policy for a Generalized Model

ABSTRACT

In this paper, the properties on the optimal replacement policies for the general failure model are developed. In the general failure model, two types of system failures may occur : one is Type I failure (minor failure) which can be removed by a minimal repair and the other, Type II failure (catastrophic failure) which can be removed only by complete repair. It is assumed that, when the unit fails, Type I failure occurs with probability 1-p and Type II failure occurs with probability p, $0leqpleq1$. Under the model, the system is minimally repaired for each Type I failure, and it is repaired completely at the time of the Type II failure or at its age T, whichever occurs first. We further assume that the repair times are non-negligible. It is assumed that the minimal repair times in a renewal cycle consist of a strictly increasing geometric process. Under this model, we study the properties on the optimal replacement policy minimizing the long-run average cost per unit time.

Key Words: Optimal Maintenance Policy;General Failure Model;Long-run Average Cost Rate;Geometric Process;