• Title/Summary/Keyword: Waiting cost

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The Threshold Policy in the M/M/2 Queue with Server Vacation (휴가가 존재하는 M/M/2 대기 시스템의 한계치를 이용한 제어정책)

  • 이효성
    • Journal of the Korean Operations Research and Management Science Society
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    • v.20 no.2
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    • pp.1-10
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    • 1995
  • In this study, a threshold policy is considered for the M/M/2 queueing system with server vacations. The probability generating function for the number of customers present in the system is derived using an embedded Markov chain approach. Then, assuming a linear cost structure, an efficient procedure to find an optimal threshold policy is presented. The Laplace-Stieltjes transofrm for th waiting time of an arbitrary customer under a "FIFO" discipline is also derived.o derived.

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A Study on the Productivity Improvement of the Dicing Blade Production Process (다이싱 블레이드 제조공정의 생산성향상에 관한 연구)

  • Mun, Jung-Su;Park, Soo-Yong;Lee, Dong-Hyung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.39 no.3
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    • pp.147-155
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    • 2016
  • Industry 4.0's goal is the 'Smart Factory' that integrates and controls production process, procurement, distribution and service based on the fundamental technology such as internet of the things, cyber physical system, sensor, etc. Basic requirement for successful promotion of this Industry 4.0 is the large supply of semiconductor. However, company I who produces dicing blades has difficulty to meet the increasing demand and has hard time to increase revenue because its raw material includes high price diamond, and requires very complex and sensitive process for production. Therefore, this study is focused on understanding the problems and presenting optimal plan to increase productivity of dicing blade manufacturing processes. We carried out a study as follows to accomplish the above purposes. First, previous researches were investigated. Second, the bottlenecks in manufacturing processes were identified using simulation tool (Arena 14.3). Third, we calculate investment amount according to added equipments purchase and perform economic analysis according to cost and sales increase. Finally, we derive optimum plan for productivity improvement and analyze its expected effect. To summarize these results as follows : First, daily average blade production volume can be increased two times from 60 ea. to 120 ea. by performing mixing job in the day before. Second, work flow can be smoother due to reduced waiting time if more machines are added to improve setting process. It was found that average waiting time of 23 minutes can be reduced to around 9 minutes from current process. Third, it was found through simulation that the whole processing line can compose smoother production line by performing mixing process in advance, and add setting and sintering machines. In the course of this study, it was found that adding more machines to reduce waiting time is not the best alternative.

An Improved Adaptive Job Allocation Method for Multiprocessor Systems (다중처리기 시스템을 위한 적응적 작업할당 방법의 개선)

  • Ok, Gi-Sang;Park, Jun-Seok;Lee, Won-Ju;Jeon, Chang-Ho
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.6
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    • pp.1502-1510
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    • 1999
  • In adaptive job allocation method for multiprocessor systems a job is folded, or split in two halves, to fit for an available subcube in order to reduce the waiting time of jobs. In this method, however, since a job is folded whenever a subcube with the proper size is not found, the prolonged execution time caused by job split may override the savings in waiting time, in which case the total adaptive jobs may be increased. In this paper, an improved adaptive job allocation algorithm, called Estimate-fold allocation, Is presented and evaluated. The proposed algorithm estimates the costs and takes the better of two alternatives ; folding right away and waiting until a bigger subcube becomes available. The average total job execution cost of our algorithm is calculated and compared to those of the conventional adaptive, buddy, and gray-code algorithms through simulations. The results shows that our proposed algorithm performs better than others.

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A System Design for Real-Time Monitoring of Patient Waiting Time based on Open-Source Platform (오픈소스 플랫폼 기반의 실시간 환자 대기시간 모니터링 시스템 설계)

  • Ryu, Wooseok
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.22 no.4
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    • pp.575-580
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    • 2018
  • This paper discusses system for real-time monitoring of patient waiting time in hospitals based on open-source platform. It is necessary to make use of open-source projects to develop a high-performance stream processing system, which analyzes and processes stream data in real time, with less cost. The Hadoop ecosystem is a well-known big data processing platform consisting of numerous open-source subprojects. This paper first defines several requirements for the monitoring system, and selects a few projects from the Hadoop ecosystem that are suited to meet the requirements. Then, the paper proposes system architecture and a detailed module design using Apache Spark, Apache Kafka, and so on. The proposed system can reduce development costs by using open-source projects and by acquiring data from legacy hospital information system. High-performance and fault-tolerance of the system can also be achieved through distributed processing.

A Study on the Economic Analysis for Ballast Water Treatment System (선박 평형수 처리 장치의 선내 배치를 위한 경제성 평가 연구)

  • Kim, Soo-Young;Shin, Sung-Chul;Chung, Bo-Young;Jo, Jung-Hwa;Kang, Byung-Yoon
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.2
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    • pp.258-264
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    • 2010
  • Various kinds of ballast water treatment systems (BWTS) have been developed corresponding to reinforced IMO rules for marine environment. Some of them got the certificate of IMO and others are waiting for it. Selection of optimum BWTS is very important. Optimum BWTS means not only functional requirements but also economic efficiency. This paper presents economic analysis model for optimum BWTS according to ship type and size. In this study 10 kinds of BWTS whose initial installation cost and maintenance cost are known are analyzed based on present worth method. It is assumed that all BWTS satisfy minimum functional requirements and we need to consider different economical efficiency. Through the economic analysis we could select optimum BWTS.

A Study on M / M (a, b ; ${\mu}_k$) / 1 Batch Service Queueing Model (M/M(a, b ; ${\mu}_k$)/1 배치 서비스 대기모델에 대한 연구)

  • Lee, Hwa-Ki;Chung, Kyung-Il
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.3
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    • pp.345-356
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    • 1995
  • The aim of this paper is to analyze the batch service queueing model M/M(a, b ; ${\mu}_k/1$) under general bulk service rule with mean service rate ${\mu}_k$ for a batch of k units, where $a{\leq}k{\leq}b$. This queueing model consists of the two-dimensional state space so that it is characterized by two-dimensional state Markov process. The steady-state solution and performane measure of this process are derived by using Matrix Geometric method. Meanwhile, a new approach is suggested to calculate the two-dimensional traffic density R which is used to obtain the steady-state solution. In addition, to determine the optimal service initiation threshold a, a decision model of this queueing system is developed evaluating cost of service per batch and cost of waiting per customer. In a job order production system, the decision-making procedure presented in this paper can be applicable to determining when production should be started.

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A Study on the Determination of the Optimal Service Level by the Travel-Time Models (Travel-Time 모델을 이용(利用)한 최적(最適) 서어비스 수준(水準) 결정(決定)에 관한 연구(硏究))

  • Park, Byeong-Gi;Jeong, Jong-Sik
    • Journal of Korean Society for Quality Management
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    • v.17 no.2
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    • pp.142-148
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    • 1989
  • In order to determine the level of service which minimizes the total of expected cost of service and the expected cost of waiting for that service, the important considerations are to evaluate the distance traveled to and from a service facility (D) and the expected number of mechanics in queueing system (L). The travel-time models are very useful when the servers must travel to the customer from the service facility. Thus, in this paper we studied on the determination of the optimal service level by the travel-time models. In order to decide the optimal service level, (D) has been introduced as a uniform distribution and (L) has been introduced as M/M/S model of queueing theory.

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A User Equilibrium Transit Assignment Model with Vehicle Capacity Constraint (차량용량을 고려한 대중교통 통행배정모형구축에 관한 연구)

  • 이성모;유경상;전경수
    • Journal of Korean Society of Transportation
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    • v.14 no.3
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    • pp.27-44
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    • 1996
  • The purpose of the thesis is providing a new formulation for the transit assignment problem. The existing models dealing with the transit assignment problem don't consider the congestion effects due to the insufficient capacity of transit vehicles. Besides, these models don't provide solutions satisfying the Wardrop's user equilibrium conditions. The congestion effects are considered to be concentrated at the transit stops. For the transit lines, the waiting times at the transit stops are dependent on the passenger flows. The new model suggests the route section cost function analogous to the link performance function of the auto assignment to reflect the congestion effects in congested transit network. With the asymmetric cost function, the variational inequality programming is used to obtain the solutions satisfying Wardrop's condition. The diagonalization algorithm is introduced to solve this model. Finally, the results are compared with those of EMME/2.

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An Analysis of M/G/1 System with N and T-Policy (N-정책과 T-정책이 적용되는 M/G/1 시스템의 분석)

  • Hur, Sun;Lee, Hun-Gyu;Kim, Jong-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.26 no.2
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    • pp.81-87
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    • 2000
  • As for M/G/1 queueing system, we use various control policies, with which we can optimize the system. Up to now the most widely adopted policies are N-Policy, T-Policy, D-Policy, and so on. The existing researches are largely concerned to find an optimal operation condition or to optimize the system under single policy in M/G/1 system. There are, however, few literatures dealing with multiple control policies at once to enhance the flexibility of the model. In this study, we consider M/G/1 system adopting N-Policy and T-Policy simultaneously. If one of two conditions is satisfied, then, the server starts the service. We call this Min(N,T)-Policy. We find the probability distribution of the number of customers and mean waiting time in steady state and derive a cost function. Next, we seek the $N^*$, optimal threshold under various N values. Finally, we reveal the characteristics of cost function.

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Low Cost Hardware Engine of Atomic Pipeline Broadcast Based on Processing Node Status (프로세서 노드 상황을 고려하는 저비용 파이프라인 브로드캐스트 하드웨어 엔진)

  • Park, Jongsu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.24 no.8
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    • pp.1109-1112
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    • 2020
  • This paper presents a low cost hardware message passing engine of enhanced atomic pipelined broadcast based on processing node status. In this algorithm, the previous atomic pipelined broadcast algorithm is modified to reduce the waiting time until next broadcast communication. For this, the processor change the transmission order of processing nodes based on the nodes' communication channel. Also, the hardware message passing engine architecture of the proposed algorithm is modified to be adopted to multi-core processor. The synthesized logic area of the proposed hardware message passing engine was reduced by about 16%, compared by the pre-existing hardware message passing engine.