• 한국경영과학회지
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• 제37권2호
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• pp.31-43
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• 2012

Delivery of a good quality of service in an efficient manner requires matching the supply of capacity with customer demand. Much research has employed queueing models that analyzed the service system on the basis of independent and stationary customer arrivals. However, the appointment system, which is widely used to facilitate customer access to service in many industries including healthcare, has significant influence on the customer arrival process so that the independent and stationary assumption does not hold in an appointment-based service system. In this regard, this paper aims to propose a model for accurate illustration of the appointment-based customer arrival process. The use of the proposed model allows us to evaluate the overall system performance such as mean waiting time and service level under various appointment policies instead of conducting simulation studies.

• 산업경영시스템학회지
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• 제21권47호
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• pp.125-138
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• 1998

In this paper, we investigate the effect of re-entrance to the same work station in a job shop with multiple identical machines. System A is defined as the system in which re-entrance is not permitted, and system B is defined as the system in which re-entrance is permitted. By the analytical result of the queueing network, we find that the two systems have the same queue length distributions and utilizations under FIFO dispatching rule when all parameters are same. Simulation models are developed for various comparisons between the two systems, and simulation experiments are conducted for the combinations of five dispatching rules, two average workloads and two due date allowances. Five performance measures are selected for the comparison. The simulation results show that permitting re-entrance affects for some combinations of system environments.

• 한국경영과학회지
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• 제25권2호
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• pp.59-66
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• 2000

In this paper we propose an approximation analysis for the system size distribution of the M/G/c system which is transform-free,. At first we borrow the system size distribution from the Markovian service models and then introduce a newly defined parameter in place of traffic intensity. In this step we find the distribution of the number of customers up to c. Next we concentrate on each waiting space of the queue separately rather than consider the entire queue as a whole. Then according to the system state of the arrival epoch we induce the probability distribution of the system size recursively. We discuss the effectiveness of this approximation method by comparing with simulation for the mean system size.

• 한국통신학회논문지
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• 제21권10호
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• pp.2586-2596
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• 1996

The handover area is the region where a call can be handled by the base stations in any of the adjacent cells, and handover duration time is viewed as the time an mobile station resides inthe handover area. In this paper, analytic model to estimate the distribution function(df) of the handover duration time is proposed. Based on the df of the handover duration time, the simulation and anlytic models for the First Come first Serve(FCFS) scheme are presented, and the simulation results for the Measurement Based Prioritization Scheme(MBPS) are compared with the analytic results of the FCFS handover scheme. Those results show that the MBPS scheme is seen to provide lower handover failures than FCFS queueing with slightly increasing the new call blocking probability.

• 한국통신학회논문지
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• 제21권10호
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• pp.2605-2619
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• 1996

In this paper, we evaluated performance of mobile exchange control part. Queueing network model is used for modeling of mobile exchange control part. We developed a call control processing and location registration scenartio which has a message exchange function between processors in mobile exchange control part. A network symbol are used the simulation models that are composed of the initialization module, message generation module, message routing module, message processing module, message generation module, HIPC network processing module, output analysis module. as a result of computer simulation, we obtain the processor utilization, the mean queue length, the mean waiting time of control part based on call processing and location registration capacity. The call processing and location registration capacity is referred by thenumber of call attempts in the mobile exchange and must be satisfied with the quality of service(delay time).

• 전자공학회논문지S
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• 제34S권3호
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• pp.12-23
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• 1997

In this paper, we propose a new cell switch fabric for increasing the performance of ATM switching systems. Proposed switching network consists of a sorting network and a routing network. Both of these are multistage networks where each stage performs a fixed permutation on the incoming lines, and then routes them through a clumn of 2x2 switching elements. It is designed for distributing inputs and parallel processing to reduce the hardware complexity and obtain high performance of switching network. The structure and the operation of th eswitching network aredescribed and the performanceof the switching network is anlyzed under uniform traffic models. In this result, though the size of proposed network is increased the large scale, it has always the same throughput as the that of genral output queueing system with N=2. So, it is found that our proposed network is appropriate for the high apeed and lrger size of ATM switching systems.

• 대한수학회지
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• 제58권4호
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• pp.819-833
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• 2021

Hawkes process is a self-exciting simple point process with clustering effect whose jump rate depends on its entire past history and has been widely applied in insurance, finance, queueing theory, statistics, and many other fields. Seol [27] proposed the inverse Markovian Hawkes processes and studied some asymptotic behaviors. In this paper, we consider an extended inverse Markovian Hawkes process which combines a Markovian Hawkes process and inverse Markovian Hawkes process with features of several existing models of self-exciting processes. We study the limit theorems for an extended inverse Markovian Hawkes process. In particular, we obtain a law of large number and central limit theorems.

• 한국정보처리학회논문지
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• 제7권8호
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• pp.2484-2496
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• 2000

네트워크 연결을 위한 고속 스위치는 계속해서 발달하여 왔으며, 스위치가 필요한 성능을 내는가를 여러 조건으로 분석하는 것은 중요한 일이다. 하지만, 복잡한 구조를 가진 시스템을 모델링하여 그 성능을 측정하는 것은 쉬운 일이 아니다. 큐잉이론을 이용한 모델링은 큰 상태 공간을 고려해야 됨은 물론이고 성능평가에 있어서도 복잡한 계산과정을 수행해야 하지만, SAN(Stochastic Activity Networks)에 의한 모델링과 성능평가는 그에 비해 간단하다는 장점이 있다. 본 논문의 목적은 출력포트에 큐를 갖는 고속 ATM 스위치를 확장된 SPN(Stochastic Petri Net)인 SAN을 이용해 모델링하고, 셀 도착 과정은 실제 트래픽과 유사한 특징을 가지고 있는 MMPP(Markov Modulated Poisson Process)로 모델링하여 그 성능을 평가하는데 있다. MMPP 모델을 이용한 버스티 트래픽을 고겨한 성능측정과 아울러 SAN의 장점을 이용한 확장이 용이한 스위치 모델을 보이고자 한다. 제한된 버퍼 크기를 갖는 출력 큐잉 ATM 스위치에 도착하은 셀은 포아송 도착 과정에서는 정확히 표현할 수 없는 버스티 특징을 표현할 수 있어 좀더 실제 트래픽에 가까운 MMPP로 모델링한다. SAN 모델은 UltraSAN 소프트웨어 패키지를 이용해 대기행렬의크기, 지연시간 그리고 셀 손실률에 대한 성능을 측정한다.

• Journal of Communications and Networks
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• 제17권1호
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• pp.58-66
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• 2015

Aeronautical communication networks (ACN) is an emerging concept in which aeronautical stations (AS) are considered as a part of multi-tier network for the future wireless communication system. An AS could be a commercial plane, helicopter, or any other low orbit station, i.e., Unmanned air vehicle, high altitude platform. The goal of ACN is to provide high throughput and cost effective communication network for aeronautical applications (i.e., Air traffic control (ATC), air traffic management (ATM) communications, and commercial in-flight Internet activities), and terrestrial networks by using aeronautical platforms as a backbone. In this paper, we investigate the issues about connectivity, throughput, and delay in ACN. First, topology of ACN is presented as a simple mobile ad hoc network and connectivity analysis is provided. Then, by using information obtained from connectivity analysis, we investigate two communication models, i.e., single-hop and two-hop, in which each source AS is communicating with its destination AS with or without the help of intermediate relay AS, respectively. In our throughput analysis, we use the method of finding the maximum number of concurrent successful transmissions to derive ACN throughput upper bounds for the two communication models. We conclude that the two-hop model achieves greater throughput scaling than the single-hop model for ACN and multi-hop models cannot achieve better throughput scaling than two-hop model. Furthermore, since delay issue is more salient in two-hop communication, we characterize the delay performance and derive the closed-form average end-to-end delay for the two-hop model. Finally, computer simulations are performed and it is shown that ACN is robust in terms of throughput and delay performances.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제12권6호
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• pp.2450-2469
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• 2018

In this paper, we develop a spatiotemporal model to analysis of cellular user in underlay D2D communication by using stochastic geometry and queuing theory. Firstly, by exploring stochastic geometry to model the user locations, we derive the probability that the SINR of cellular user in a predefined interval, which constrains the corresponding transmission rate of cellular user. Secondly, in contrast to the previous studies with full traffic models, we employ queueing theory to evaluate the performance parameters of dynamic traffic model and formulate the cellular user transmission mechanism as a M/G/1 queuing model. In the derivation, Embedded Markov chain is introduced to depict the stationary distribution of cellular user queue status. Thirdly, the expressions of performance metrics in terms of mean queue length, mean throughput, mean delay and mean dropping probability are obtained, respectively. Simulation results show the validity and rationality of the theoretical analysis under different channel conditions.