• Title/Summary/Keyword: Remaining service time

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ANALYSIS OF QUEUEING MODEL WITH PRIORITY SCHEDULING BY SUPPLEMENTARY VARIABLE METHOD

  • Choi, Doo Il
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.147-154
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    • 2013
  • We analyze queueing model with priority scheduling by supplementary variable method. Customers are classified into two types (type-1 and type-2 ) according to their characteristics. Customers of each type arrive by independent Poisson processes, and all customers regardless of type have same general service time. The service order of each type is determined by the queue length of type-1 buffer. If the queue length of type-1 customer exceeds a threshold L, the service priority is given to the type-1 customer. Otherwise, the service priority is given to type-2 customer. Method of supplementary variable by remaining service time gives us information for queue length of two buffers. That is, we derive the differential difference equations for our queueing system. We obtain joint probability generating function for two queue lengths and the remaining service time. Also, the mean queue length of each buffer is derived.

DISCRETE-TIME QUEUE WITH VARIABLE SERVICE CAPACITY

  • LEE YUTAE
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.517-527
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    • 2005
  • This paper considers a discrete-time queueing system with variable service capacity. Using the supplementary variable method and the generating function technique, we compute the joint probability distribution of queue length and remaining service time at an arbitrary slot boundary, and also compute the distribution of the queue length at a departure time.

ANALYSIS OF THE DISCRETE-TIME GI/G/1/K USING THE REMAINING TIME APPROACH

  • Liu, Qiaohua;Alfa, Attahiru Sule;Xue, Jungong
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.153-162
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    • 2010
  • The finite buffer GI/G/1/K system is set up by using an unconventional arrangement of the state space, in which the remaining interarrival time or service time is chosen as the level. The stationary distributions of resulting Markov chain can be explicitly determined, and the chain is positive recurrent without any restriction. This is an advantage of this method, compared with that using the elapsed time approach [2].

Remaining Service Life Prediction of Concrete Structures under Chloride-induced Loads (염해환경하의 콘크리트 구조물의 잔존수명 예측)

  • Song, Ha-Won;Luc, Dao Ngoc The
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.1037-1040
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    • 2008
  • In order to predict the remaining life of marine concrete structures under climatic loads, it is necessary to develop an analytical approach to predict the time and space dependent deterioration of concrete structures due to mainly chloride attack up to corrosion initiation and additional deterioration like cracking of cover concrete. This study aims to introduce FEM model for life-time simulation of concrete structures subjected to chloride attack. In order to consider uncertainties in materials as well as environmental parameters for the prediction, Monte Carlo Simulation is integrated in that FEM modeling for reliability-based remaining service life prediction. The paper is organized as follows: firstly general scheme for reliability-based remaining service life of concrete structures is introduced, then the FEM models for chloride penetration, corrosion product expansion and cover cracking are briefly explained, finally an example is demonstrated and the effects of localization of chloride concentration and corrosion product expansion on service life using above model are discussed.

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Factors Affecting Primary Stability on Sites of Alveolar Ridge Preservation Using Porcine-derived Bone Minerals

  • Lee, Su-Yeon;Lee, Young;Choi, Seong-Ho;Lee, Dong-Woon
    • Journal of Korean Dental Science
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    • v.14 no.1
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    • pp.1-11
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    • 2021
  • Purpose: The alveolar ridge preservation (ARP) is widely conducted for implant placement. However, experimental results using deproteinized porcine bone mineral (DPBM) have been scarce. This retrospective study evaluated factors affecting the primary stability of implants in an area where ARP was performed using DPBM. Materials and Methods: Thirty-eight patients were divided into two groups based on the primary stability, with torque value of 30 Ncm as borderline. To determine the factors that affect the primary stability of implants, we collected data from patients' medical records including age, sex, reentry time, socket location, remaining bone wall at the time of extraction, and type of collagen membrane, as well as from radiographs and histomorphometric analysis. Result: The results showed statistically significant difference for the remaining extraction socket wall (P=0.014), residual graft (P=0.029), and fibrovascular tissue (P=0.02) between the two groups. There was an insignificant tendency toward the time of reentry surgery (P=0.052) and location (P=0.077). All implants placed in sites using DPBM functioned well up to 3 years. Conclusion: Within the limitations of the present study, extraction socket wall, residual graft, and fibrovascular tissue can affect the primary stability at the time of implant placement on grafted sites using DPBM and collagen membranes. In addition, reentry time and locations can be considered. In future studies, comparative experiments in quantified models will be required to supporting the findings.

The Prediction of Remaining Service Life of Land Concrete Due to Steel Corrosion (철근부식에 의한 육지 콘크리트의 잔존수명 예측)

  • 정우용;윤영수;송하원;변근주
    • Journal of the Korea Concrete Institute
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    • v.12 no.5
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    • pp.69-80
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    • 2000
  • This paper presents the prediction of remaining service life of the concrete due to steel corrosion caused by the following three cases; carbonation, using sea sand and using deicing salts. The assessment of initiation period was generalized considering the existing perdiction models in the literature, corrosion experiment and field assessment. To evaluate the prediction equation of rust growth, the corrosion accelerating experiments was performed. The polarization resistance was measured by potentiostat and the conversion coefficient of polarzation resistance to corrosion rate was determined by the measurement of real mass loss. Chloride content, carbonation, cover depth, relative humidity, water-cement ratio(W/C), and the use of deicing salts were taken into account and the resulting prediction equation of rust growth was proposed on the basis of these properties. The proposed equation is to predict the rust growth during any specified period of time and be effective in particular for predicting service life of concrete in the case of using sea sand.

A Study on the Actual cases of Medical Examination in the Qing Dynasty (청대 의과시험의 실제 사례에 대한 고찰)

  • Kug, Sooho
    • The Journal of Korean Medical History
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    • v.34 no.2
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    • pp.79-87
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    • 2021
  • The civil service examination system is an important part of the history of education in East Asia. In China, the civil service examination system lasted for almost 1,300 years. Through this, each dynasty was able to prevent the concentration of power to the hereditary nobles and to give competent talents an opportunity to rise to an important position in the state. In terms of medical education, in China, doctors have already been selected through tests since the Song Dynasty. However, the actual cases of medical tests currently remaining in each dynasty are very rare. This paper, firstly, examines the implementation method of the medical test during the Qing Dynasty and examines how it influenced the merit rating. and secondly, this paper examines the actual cases of the remaining Qing medical exam questions, in terms of content, related to the medical text "Uijonggeumgam (醫宗金鑑)" and was influenced by the style of the civil service examination at that time.

Development of exchange period program for chemical cartridge feasible in the work spot (1) - Experiment of estimated breakthrough time using discarded cartridges (작업장에서 사용 가능한 방독마스크 정화통 교체주기 프로그램의 개발(I) - 폐정화통을 이용한 파과시간 예측 실험)

  • Han, Don-Hee;Lee, Sang-Young
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.18 no.3
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    • pp.204-215
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    • 2008
  • Many researches for service-life of chemical cartridges of respirators have been performed in many countries. On the result of these researches a few softwares programs were eventually developed to be used. In spite of that, it is difficult to apply these researches and softwares practically in the work spot because of too many factors that influence on service-life of chemical cartridges. This study was the first of two conducted for the purpose of developing program for estimating exchange period or service-life of chemical cartridges available feasibly in the workplaces. Collecting plan of cartridges discarded after use is in principle that three cartridges from three workers at a time, three steps of 1/2 exchange time due to smelling, just routine exchange time and 1.2 to 1.3 expanded time of routine exchange, total nine cartridges are collected in the same job site. 33 cartridges for organic vapor were collected in paint spray process of ship yard and paint factory, and 6 cartridges for acid were collected in plating process. These cartridges were analysed the remaining breakthrough time in 3M Innovation Center. Challenge vapor and breakthrough concentration were complied with Korean regulation for chemical cartridge respirators. Estimated breakthrough time was determined from previously used time plus breakthrough time for the remaining. Exchange period of cartridge would be the shortest time among three estimated breakthrough times. On the result breakthrough time for organic vapor was found to be relatively easily estimated, but that for acid aerosol or vapor was difficult to be confident. Even though this method was difficult to be precisely predicted exchange period of cartridge, it could be an alternative program practically available in the job site.

On the Remaining Interarrival Time upon Reaching a Given Level in the GI/M/1/K Queue (GI/M/1/K 대기행렬의 이탈시점 기준 잔여도착간격 분석)

  • Chae, Kyung C.;Suh, Gai
    • Journal of Korean Institute of Industrial Engineers
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    • v.32 no.4
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    • pp.369-372
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    • 2006
  • Suppose that a customer arrives at the GI/M/1/K queueing system when there are customers in the system, $n,m{\geq}0,\;n+m{\leq}K$. Sooner or later, the number of customers in the system will reach . In this paper, we present the Laplace transform of the remaining interarrival time upon reaching level, for the first time, since a customer arrived when there are customers in the system.

A Design Problem of a System Working at Both Primary Service and Secondary Service (주서비스와 보조서비스를 갖는 시스템 설계)

  • Kim, Sung-Chul
    • Korean Management Science Review
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    • v.28 no.3
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    • pp.15-29
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    • 2011
  • In this paper, we consider a system working at both primary service and secondary service. A server can switch between the primary service and the secondary service or it can be assigned to secondary service as a dedicated server. A service policy is characterized by the number of servers dedicated to the secondary service and a rule for switching the remaining servers between two services. The primary service system is modelled as a Markovian queueing system and the throughput is a function of the number of servers, buffer capacity, and service policy. And the secondary service system has a service level requirement strategically determined to perform the service assigned. There is a revenue obtained from throughput and costs due to servers and buffers. We study the problem of simultaneously determining the optimal total number of servers, buffers, and service policy to maximize profit of the system subject to both an expected customer waiting time constraint of the primary service and a service level constraint of the secondary service and develop an algorithm which can be successfully applied with the small number of computations.