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초록
In this paper, a random shock model for a system is considered. Each shock arriving according to a Poisson process decreases the state of the system by a random amount. A repairman arriving according to another Poisson process of rate repairs the system only if the state of the system is below a threshold . After assigning various costs to the system, we calculate the long-run average cost and show that there exist a unique value of arrival rate and a unique value of threshold which minimize the long-run average cost per unit time.
키워드
Long-run average cost; Poisson process; Random shock model.
- 제목
- Analysis of a Random Shock Model for a System and Its Optimization
- 저자
- 박정훈; 최승경; 이의용
- 발행일
- 2004-12
- 저널명
- 한국데이터정보과학회지
- 권
- 15
- 호
- 4
- 페이지
- 773 ~ 782