• Title/Summary/Keyword: m_1)-system$

Search Result 13,878, Processing Time 0.043 seconds

An Approximation of the M/G/1 System with Finite Workload Capacity (부하량에 제한이 있는 M/G/1 시스템의 근사법)

  • Lee, Hyung Joong;Hur, Sun
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.29 no.3
    • /
    • pp.247-252
    • /
    • 2003
  • We propose an approximation of the M/G/1 system with finite workload capacity, where those customers whose admission to the system would increase the workload beyond a prespecified finite capacity limit are not accepted. Our approximation method is based on the idea that the service time of a customer in the M/G/1 system can be approximated as the sum of service times of a batch of customers in the $M^X/d/1$ system where the deterministic service time d is small enough. That is, the original service time is discretized and approximated by the batch size. We exemplified our method by obtaining the average workload of the M/M/1 system by means of the $M^X/d/1$ system, where the batch size is geometric. In addition, the approximate blocking probabilities of the M/M/1 and $M/E_k/1$ system with finite workload capacities are sought. The proposed method turns out to give a good approximation, which is compared with a simulation.

An approximation of the M/G/1 system with finite workload capacity (대기 부하량에 제한이 있는 M/G/1 시스템의 근사법)

  • Lee Hyeong Jung;Kim Jeong Gi;Heo Seon
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2003.05a
    • /
    • pp.247-251
    • /
    • 2003
  • In this paper, we propose an approximation of the M/G/1 system with finite workload capacity, where customers whose admission to the system would increase the workload beyond a prespecified finite capacity limit are not accepted. Our approximation method is based on the idea that the service time of a customer in the M/G/1 system can be approximated as the sum of service times of a batch of customers in the $M^{X}/d/1$ system where the service time is deterministic and very small. That is, the original service time is discretized and approximated by the batch size. We exemplified our method by obtaining the average workload of the M/M/1 system by means of the $M^{X}/d/1$ system, where the batch size is geometric. In addition, the approximate blocking probabilities of the M/M/1 and $M/E_{k}/1$ system with finite workload capacities are sought. The proposed method turns out to give a good approximation, which is compared with a simulation.

  • PDF

A Workflow Time Analysis Applying the Queueing Model (대기행렬모형에 의한 워크플로우 시간분석)

  • Park, Jinsoo
    • Journal of the Korea Society for Simulation
    • /
    • v.23 no.3
    • /
    • pp.1-9
    • /
    • 2014
  • Traditional workflow time analyses have been performed treating an activity as an independent M/M/1queueing system. Using the general forms of performance measures in the M/M/1 system, various aspects of analyses can be performed. Especially, on the time analysis of an AND structure in a workflow system, the mean system sojourn time can be formalized by applying the performance measures of M/M/1 system. In the real workflow system, the AND structure cannot be described correctly under the assumption of independent M/M/1 systems. To overcome this limitation, this research makes the assumption that the all activities for a task starts simultaneously. In this situation, the theoretical solution can be derived using the performance measures of the M/G/1 system. In addition, the simulation modeling method will be proposed to analyze the AND structure of a real workflow system. Finally, some numerical results from the theoretical solutions and simulation models will be provided for verification. The main performance measures used in this research are mean queueing time and mean sojourn time.

A Novel Nonmechanical Finger Rehabilitation System Based on Magnetic Force Control

  • Baek, In-Chul;Kim, Min Su;Kim, Sung Hoon
    • Journal of Magnetics
    • /
    • v.22 no.1
    • /
    • pp.155-161
    • /
    • 2017
  • This paper presents a new nonmechanical rehabilitation system driven by magnetic force. Typically, finger rehabilitation mechanisms are complex mechanical systems. The proposed method allows wireless operation, a simple configuration, and easy installation on the hand for active actuation by magnetic force. The system consists of a driving coil, driving magnets (M1), and auxiliary magnets (M2 and M3), respectively, at the finger, palm, and the center of coil. The magnets and the driving coil produce three magnetic forces for an active motions of the finger. During active actuations, magnetic attractive forces between M1 and M2 or between M1 and M3 enhance the flexion/extension motions. The proposed system simply improves the extension motion of the finger using a magnetic system. In this system, the maximum force and angular variation of the extension motion were 0.438 N and $49^{\circ}$, respectively. We analyzed the magnetic interaction in the system and verified finger's active actuation.

Accuracy Assessment of IGSO and GEO of BDS and QZSS Broadcast Ephemeris using MGEX Products

  • Son, Eunseong;Choi, Heonho;Joo, Jungmin;Heo, Moon Beom
    • Journal of Positioning, Navigation, and Timing
    • /
    • v.9 no.4
    • /
    • pp.347-356
    • /
    • 2020
  • In this study, Inclined Geosynchronous Orbit (IGSO) and Geostationary Orbit (GEO) of BeiDou System (BDS) and Quasi Zenith Satellite System (QZSS) satellites positions and clock errors calculated by broadcast ephemeris and compared with Multi-GNSS Experiment (MGEX) products provided by five Analysis Centers (ACs). Root Mean Square Errors (RMSE) calculated for satellite position error. The IGSO results showed that 1.82 m, 0.91 m, 1.28 m in BDS and 1.34 m 0.36 m 0.49 m in QZSS and the GEO results showed that 2.85 m, 6.34 m, 6.42 m in BDS and 0.47 m, 4.79 m, 5.82 m in QZSS in the direction of radial, along-track and cross-track respectively. RMS calculated for satellite clock error. The IGSO result showed that 2.08 ns and 1.24 ns and the GEO result showed that 1.28 ns and 1.12 ns in BDS and QZSS respectively.

A Pilot-Scale Microfiltration/Ultrafiltration system for Drinking Water Treatment (상수처리를 위한 파일롯 규모의 정밀여과/한외여과 시스템)

  • Kim, Hanseung;Oh, Jeongik;Kim, Chunghwan
    • Journal of Korean Society of Water and Wastewater
    • /
    • v.18 no.6
    • /
    • pp.770-777
    • /
    • 2004
  • Three pilot-scale membrane systems were operated using lake water as influent in this study. Microfiltration (MF) membrane with pore size of 0.01 m was used in Systen I of which filtration mode was set at constant pressure of $1kgf/cm^2$. Ultrafiltration (UF) membranes with molecular cutoff (MWCO) of 80,000 and 13,000 were used in System II-1 and II-2, respectively. Constant flow mode was applied at the range between 0.7 and $1.5m^3/m^2{\cdot}d$ (average of $1.1m^3/m^2${\cdot}d) for System II-1 and between 0.37 and $1.65m^3/m^2{\cdot}d$ (average of $1.18m^3/m^2{\cdot}d$) for System II-2. In System I, the flux changed from $1m^3/m^2{\cdot}d$ to $0.2m^3/m^2{\cdot}d$ during the operation time of 5 months. System II showed recovery of 94% under the allowable maximum pressure of $3kgf/cm^2$ during the same operation period. From these results, the efficient operation was observed in constant flow mode with respect to filtration time and recovery. Average filtrate turbidity showed 0.0071 NTU in System I and 0.0054 NTU in System II, which implied that high turbidity removal was obtained in both MF and UF systems with no significant difference between MF and UF. From the fact that membrane flux depends largely on membrane type and operation mode, a guideline of optimum design and operation should be suggested for application of membrane systems to full scale water treatment.

A Note on the Inter-Loss Time Distribution of an M/G/1/1 Queuing System (M/G/1/1 대기체계의 고객 손실간격 분포에 대한 소고)

  • Lee, Doo Ho
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.41 no.3
    • /
    • pp.37-43
    • /
    • 2016
  • This note discusses the inter-loss time ofan M/G/1/1 queuing system. The inter-loss time is defined as the time duration between two consecutive losses of arriving customers. In this study, we present the explicit Laplace transform of the inter-loss time distribution of an M/G/1/1 queuing system.

Influence of Hyaluronic Acid on the Different Levels of Lysozyme and Peroxidase in the Aspects of Candidacidal Activities

  • Kim, Jihoon;Kim, Yoon-Young;Chang, Ji-Youn;Kho, Hong-Seop
    • Journal of Oral Medicine and Pain
    • /
    • v.43 no.1
    • /
    • pp.1-7
    • /
    • 2018
  • Purpose: The purpose of the study was to investigate the influences of hyaluronic acid on the candidacidal activities of lysozyme, the peroxidase system, and the glucose oxidase-mediated peroxidase (GO-PO) system at different concentrations of antimicrobial enzymes. Methods: Hyaluronic acid was used at a final concentration of 0.5 mg/mL. Hen egg-white lysozyme (HEWL) was used at concentrations ranging from 10 to $100{\mu}g/mL$. The peroxidase system included bovine lactoperoxidase (bLPO), potassium thiocyanate (KSCN, 1 mM), and hydrogen peroxide ($100{\mu}M$). The GO-PO system included bLPO, KSCN (1 mM), glucose oxidase (10 units/mL), and glucose ($30{\mu}g/mL$). The final concentration of bLPO in the peroxidase and GO-PO systems ranged from 12.5 to $100{\mu}g/mL$. Candida albicans strains ATCC 10231, 11006, and 18804 were utilized. Candidacidal activities of antimicrobials and the influence of hyaluronic acid on their candidacidal activities were determined based on colony forming units. Results: Candidacidal activities of the peroxidase and GO-PO systems increased with increasing concentrations of bLPO. This tendency was the same in the presence or absence of hyaluronic acid. Candidacidal activity of HEWL was not significantly concentration-dependent. Candidacidal activities of the GO-PO system were higher than those of the corresponding peroxidase system. Candidacidal activity was inhibited in the presence of hyaluronic acid in the following order: HEWL, the peroxidase system, and the GO-PO system. Conclusions: Hyaluronic acid inhibited the candidacidal activities of HEWL, the peroxidase system, and the GO-PO system. The GO-PO system exhibited better candidacidal activity than HEWL and the peroxidase system both in the presence and absence of hyaluronic acid.

1-(2-) Prime Ideals in Semirings

  • Nandakumar, Pandarinathan
    • Kyungpook Mathematical Journal
    • /
    • v.50 no.1
    • /
    • pp.117-122
    • /
    • 2010
  • In this paper, we introduce the concepts of 1-prime ideals and 2-prime ideals in semirings. We have also introduced $m_1$-system and $m_2$-system in semiring. We have shown that if Q is an ideal in the semiring R and if M is an $m_2$-system of R such that $\overline{Q}{\bigcap}M={\emptyset}$ then there exists as 2-prime ideal P of R such that Q $\subseteq$ P with $P{\bigcap}M={\emptyset}$.

Multiaccess Memory System supporting Local Buffer Memory System to Processing Elements (처리기에 지역 버퍼 메모리 시스템을 지원하는 다중접근기억장치)

  • Lee, Hyung
    • The Journal of the Korea Contents Association
    • /
    • v.12 no.1
    • /
    • pp.30-37
    • /
    • 2012
  • A memory system with the linear skewing scheme has been regarded as one of suitable memory systems for a single instruction, multiple data (SIMD) architecture. The memory system supports simultaneous access n data to m memory modules within various access types with a constant interval in an arbitrary position in two dimensional data array of $M{\times}N$. Although $m{\times}cells$ memory cells are physically required to support logical two dimensional $M{\times}N$ array of data by means of the memory system, at least (m-n)${\times}cells$ memory cells remain in disuse, where cells is (M-1)/q+(N-1)/$p{\times}{\lceil}M/q{\rceil}+1$. On keeping functionalities the memory system supports, $(n{\times}t){\times}N/p$ out of a number of unused memory cells, where t>0, being used as local buffer memories for n processing elements is proposed in this paper.