Optimal Control of an M/H2/1 Queueing System with a Removable Service Station

• Main Authors: Hsu, Chao-Ming, 徐紹明
• Other Authors: Wang Kuo-Hsung
• Format: Others
• Language: zh-TW
• Published: 1996
• Online Access: http://ndltd.ncl.edu.tw/handle/60196029644040874977

碩士 === 國立中興大學 === 應用數學類 === 84 === This thesis studied the optimal control of the N-policy M/ H2/1 queueing system with both infinite capacity and finite capacity under steady-statecondition. We assume that the service times have the two types hyper-exponential distribution and the interarrival times have the negative exponential distribution. The N-policy is to turn the service station on whenN customers are present in the system, turn it off when the system is empty. We develop the steady-state characteristics of the system such as the expectednumber of customers in the system and show that the controllable M/H2/1 queueing system generalizes the ordinary M/M/1 queueing system, the ordinaryM/H2/1 queueing system, and the controllable M/M/1 queueing system. We con-struct the total expected cost function per unit time to determine the optimalvalue of the control variable N, say N*, so as to minimise the total expectedcost for this system. Some numerical results are presented when the system capacity is considered to be either infinite or finite.