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조정가능한 대기모형에 {T:Min(T,N)} 운용방침이 적용되었을 때의 시스템분석 KCI 등재

A System Analysis of a Controllable Queueing Model Operating under the {T:Min(T,N)} Policy

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한국산업경영시스템학회지 (Journal of Society of Korea Industrial and Systems Engineering)
한국산업경영시스템학회 (Society of Korea Industrial and Systems Engineering)
초록

A steady-state controllable M/G/1 queueing model operating under the {T:Min(T,N)} policy is considered where the {T:Min(T,N)} policy is defined as the next busy period will be initiated either after T time units elapsed from the end of the previous busy period if at least one customer arrives at the system during that time period, or after T time units elapsed without a customer’ arrival, the time instant when Nth customer arrives at the system or T time units elapsed with at least one customer arrives at the system whichever comes first. After deriving the necessary system characteristics including the expected number of customers in the system, the expected length of busy period and so on, the total expected cost function per unit time for the system operation is constructed to determine the optimal operating policy. To do so, the cost elements associated with such system characteristics including the customers’ waiting cost in the system and the server’s removal and activating cost are defined. Then, procedures to determine the optimal values of the decision variables included in the operating policy are provided based on minimizing the total expected cost function per unit time to operate the queueing system under considerations.

목차
1. 서 론
 2. 연구 목적
 3. 대기모형의 정의
 4. 시스템 특성치 유도
  4.1 시스템 내부에 있는 고객수의 기대값
  4.2 Busy Period와 Idle Period의 기대값 유도
 5. 시스템운용에 따른 단위시간당 기대되는총비용함수
 6. 최적 {T:Min(T,N)} 운용방침의 결정
 7. 결 론
 Acknowledgement
 References
저자
  • 이한교(한남대학교) | Hahn-Kyou Rhee Corresponding Author