• Title/Summary/Keyword: Waiting time(Queueing)

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Analysis for Authentication waiting time in Hand-over using Queueing Model (큐잉 모델을 이용한 핸드오버 시 인증 대기시간 분석)

  • Shin Seung-Soo;Kim Duck-Sool
    • Journal of the Korea Society of Computer and Information
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    • v.10 no.2 s.34
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    • pp.123-132
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    • 2005
  • In this paper, a conventional key exchange method simply Performs the key exchange setup step based on discrete algebraic subjects. But the mutual-authentication procedure of wireless PKI for reducing authentication time uses an elliptical curve for a key exchange setup step. Proposed hand-over method shows reduced hand-over processing time than conventional method since it can reduce CRL retrieval time. Also, we compared proposed authentication structure and conventional algorithm, and simulation results show that proposed authentication method outperforms conventional algorithm in authentication waiting time.

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Queueing Analysis by Menu Management Systems in Cafeteria of the Business Foodservices (카페테리아 식단을 제공하는 사업체 급식소의 식단운영 형태에 따른 대기행렬 분석)

  • 양일선
    • Journal of Nutrition and Health
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    • v.31 no.8
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    • pp.1347-1354
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    • 1998
  • The purposes of this study were to : (a) anlayze wating time, service rate, arrival rate, and coustomer expectations/satisfaction in cafeteria business foodservices and (b) identify the differences in those factors between foodservices by menu managmenet systems. The samples were two business foodservices operated by contract management in Seoul. The queue, laptime , service rate, and arrival rate were measured at each foodservice by stopwatch observation. The menu type, delivery system, number of meals served , servide time, and turnover rate of each foodservic was investigated. Questionnaires were developed to survey customer expectations and satisfaction. Satistical data analysis was completed using the SAS package programs for descriptive analysis and t-test. The mean waiting time of island type dafeteria system with separte set -menu was shorter than that of the other. In both foodservices, arrival rates were not significantly different from one another , but sevice rates were significnatly high in dafeteria menu systems. The peak time of the queue was found out at combination set menu line. The separate set menu line had a higher servide rate than the combination set menu line. The mean waiting time of the island type cafeteria line was shorter than that of the straifth type . At the straight type dafeterial line, both arrival rate and service rate were higher than those of island-type. The results of this study suggested that a separate set-menu would be more desirable than a combination set-menu in case of providing set menu with cafeteria menu.

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Analysis of the M/G/1 Priority Queue with vacation period depending on the Customer's arrival (휴가기간이 고객의 도착에 영향을 받는 휴가형 우선순위 M/G/1 대기행렬 분석)

  • Jeong, Bo-Young;Park, Jong-Hun;Baek, Jang-Hyun;Lie, Chang-Hoon
    • IE interfaces
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    • v.25 no.3
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    • pp.283-289
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    • 2012
  • M/G/1 queue with server vacations period depending on the previous vacation and customer's arrival is considered. Most existing studies on M/G/1 queue with server vacations assume that server vacations are independent of customers' arrival. However, some vacations are terminated by some class of customers' arrival in certain queueing systems. In this paper, therefore, we investigate M/G/1 queue with server vacations where each vacation period has different distribution and vacation length is influenced by customers' arrival. Laplace-Stieltjes transform of the waiting time distribution and the distribution of number of customers waiting for each class of customers are respectively derived. As performance measures, mean waiting time and average number of customers waiting for each class of customers are also derived.

A Queueing Model with Loss and Time Priority for Optimal Buffer Control in ATM (손실 우선과 시간 우선이 공존하는 ATM에서의 최적 버퍼 제어를 위한 대기 행렬 모형)

  • Lee, H.W.;Kim, E.Y.
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.1
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    • pp.130-140
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    • 1999
  • This paper deals with a priority queueing model in an ATM system. Two types of customers are considered. Type-1 customers have push-put priority over type-2 customers. Type-1 customers can enter the service only when the number of type-2 customers is less than a threshold T. We derive the joint probability of the number of customers in the buffer, the mean waiting time, and the loss probabilities of each type. We also propose an optimal control policy that satisfies a given quality of service.

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An analysis on the M/G/1 queueing model with multi-phase service (다중단계 서비스의 M/G/1 대기행렬에 대한 분석)

  • Kim, Jeong-Hyun;Hur, Sun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.24 no.66
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    • pp.11-18
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    • 2001
  • In this paper, we analyze an M/G/1 two-phase gated service model with threshold. We consider compound Poison arrival Process and general service time, where the server fives two different modes of services in order, batch and individual services. Server starts his service when the number of arrived customers reaches the predetermined threshold . We find the PGF of the number of customers in system and LST of waiting time, with which we obtain the means of them.

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MAP/G/1/K QUEUE WITH MULTIPLE THRESHOLDS ON BUFFER

  • Choi, Doo-Il
    • Communications of the Korean Mathematical Society
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    • v.14 no.3
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    • pp.611-625
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    • 1999
  • We consider ΜΑΡ/G/ 1 finite capacity queue with mul-tiple thresholds on buffer. The arrival of customers follows a Markov-ian arrival process(MAP). The service time of a customer depends on the queue length at service initiation of the customer. By using the embeded Markov chain method and the supplementary variable method, we obtain the queue length distribution ar departure epochs and at arbitrary epochs. This gives the loss probability and the mean waiting time by Little's law. We also give a simple numerical examples to apply the overload control in packetized networks.

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M/G/1 Queueing System wish Vacation and Limited-1 Service Policy

  • Lee, B-L.;W. Ryu;Kim, D-U.;Park, B.U.;J-W. Chung
    • Journal of the Korean Statistical Society
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    • v.30 no.4
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    • pp.661-666
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    • 2001
  • In this paper we consider an M/G/1 queue where the server of the system has a vacation time and the service policy is limited-1. In this system, upon termination of a vacation the server returns to the queue and serves at most one message in the queue before taking another vacation. We consider two models. In the first, if the sever finds the queue empty at the end of a cacation, then the sever immediately takes another vacation. In the second model, if no message have arrived during a vacation, the sever waits for the first arrival to serve. The analysis of this system is particularly useful for a priority class polling system. We derive Laplace-Stieltjes transforms of the waiting time for both models, and compare their mean waiting times.

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Performance Analysis of the Network Access Subsystem in AICPS Using Hybrid Simulation (Hybrid 시뮬레이션을 이용한 대용량 통신처리시스템의 정합장치에 대한 성능분석)

  • 김지수
    • Journal of the Korea Society for Simulation
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    • v.8 no.2
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    • pp.1-11
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    • 1999
  • Advanced information communication processing system mainly consists of network access subsystems and a switching system. This paper provides performance analysis of a typical network access subsystem. The network access subsystem is modeled as a queueing network including a server providing polling services. The arrival process of messages to an input buffer is regarded as a Poisson process. Performance measures such as mean input buffer length and mean waiting time of meassages are obtained through simulation, for it is impossible to calculate the performance measures using an analytical method. Hybrid simulation is used to reduce the variance of estimators. The variance reduction effect on the mean waiting time is reported.

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Performance Analysis of a Packet Voice Multiplexer Using the Overload Control Strategy by Bit Dropping (Bit-dropping에 의한 Overload Control 방식을 채용한 Packet Voice Multiplexer의 성능 분석에 관한 연구)

  • 우준석;은종관
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.1
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    • pp.110-122
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    • 1993
  • When voice is transmitted through packet switching network, there needs a overload control, that is, a control for the congestion which lasts short periods and occurrs in local extents. In this thesis, we analyzed the performance of the statistical packet voice multiplexer using the overload control strategy by bit dropping. We assume that the voice is coded accordng to (4,2) embedded ADPCM and that the voice packet is generated and transmitted according to the procedures in the CCITT recomendation G. 764. For the performance analysis, we must model the superposed packet arrival process to the multiplexer as exactly as possible. It is well known that interarrival times of the packets are highly correlated and for this reason MMPP is more suited for the modelling in the viewpoint of accuracy. Hence the packet arrival process in modeled as MMPP and the matrix geometric method is used for the performance analysis. Performance analysis is similar to the MMPP IG II queueing system. But the overload control makes the service time distribution G dependent on system status or queue length in the multiplexer. Through the performance analysis we derived the probability generating function for the queue length and using this we derived the mean and standard deviation of the queue length and waiting time. The numerical results are verified through the simulation and the results show that the values embedded in the departure times and that in the arbitrary times are almost the same. Results also show bit dropping reduces the mean and the variation of the queue length and those of the waiting time.

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Analysis of a Controllable Queueing Model Operating under the Alternating Operating Policies (변동 운용방침이 적용되는 조정가능한 대기모형 분석)

  • Rhee, Hahn-Kyou
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.39 no.1
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    • pp.81-90
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    • 2016
  • Different from general operating policies to be applied for controllable queueing models, two of three well-known simple N, T and D operating policies are applied alternatingly to the single server controllable queueing models, so called alternating (NT), (ND) and (TD) policies. For example, the alternating (ND) operating policy is defined as the busy period is initiated by the simple N operating policy first, then the next busy period is initiated by the simple D operating policy and repeats the same sequence after that continuously. Because of newly designed operating policies, important system characteristic such as the expected busy and idle periods, the expected busy cycle, the expected number of customers in the system and so on should be redefined. That is, the expected busy and idle periods are redefined as the sum of the corresponding expected busy periods and idle periods initiated by both one of the two simple operating policies and the remaining simple operating policy, respectively. The expected number of customers in the system is represented by the weighted or pooled average of both expected number of customers in the system when the predetermined two simple operating policies are applied in sequence repeatedly. In particular, the expected number of customers in the system could be used to derive the expected waiting time in the queue or system by applying the famous Little's formulas. Most of such system characteristics derived would play important roles to construct the total cost functions per unit time for determination of the optimal operating policies by defining appropriate cost elements to operate the desired queueing systems.