Busy period analysis of general input queues with vacations일반 도착과정을 가지는 휴가형 대기행렬모형의 바쁜기간 분석

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In this dissertation, the queues with general arrival and vacations are considered. In this model, the server takes a vacation as soon as the system becomes empty. If there is no customer when the server returns from the vacation, he takes another vacation. He keeps taking a vacation until he finds at least one customer on return from a vacation. And vacation times are independent and identically distributed (i.i.d.) exponential random variables. So these queueing systems use the memoryless property of the exponential distribution. The transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends is derived using Tak??cs’s approach. It means that the n-policy GI/M/1/MEV queue to get the performance measures for the GI/M/1/MEV queue is dealt with. Also, the discrete-time queueing system is considered. In recent years, there has been a growing interest in the analysis of discrete-time queueing system due to their applications to a variety of slotted digital communication systems and other related areas. However, the studies for the discrete-time queueing system has been not seen relatively less. In the discrete-time queueing system, there are two different models, $late arrival system with delayed access$ (LAS-DA) and $early arrival system$ (EAS). Also one assumption is necessary to analyze the busy period. That is, if a new customer arrives the system when the last customer in it departures, the busy period does not end but it continues with one customer in the LAS model. The LAS model is assumed in this dissertation. The joint probability generating function of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends is derived using the Tak\``{a}cs’s approach, same as the continuous-time GI/M/1/MEV queue. The results in th...
Advisors
Chae, Kyung-Chulresearcher채경철researcher
Description
한국과학기술원 : 산업공학과,
Publisher
한국과학기술원
Issue Date
2008
Identifier
295311/325007  / 020037100
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 산업공학과, 2008.2, [ ii, 72 p. ]

Keywords

대기이론; 바쁜기간; 휴가형; 사이클분석; queue; busy period; vacation; cycle analysis; 대기이론; 바쁜기간; 휴가형; 사이클분석; queue; busy period; vacation; cycle analysis

URI
http://hdl.handle.net/10203/40620
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=295311&flag=dissertation
Appears in Collection
IE-Theses_Ph.D.(박사논문)
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