• Title/Summary/Keyword: Timed Petri net

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Fuzzy Transition Timed Petri Net for modeling and analyzing of Discrete Event Dynamic Systems (이산 사건 동적 시스템의 모델링 및 분석을 위한 퍼지 트랜지션 시간 페트리 네트)

  • 모영승;김진권;김정철;황형수
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.2
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    • pp.119-126
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    • 2001
  • 시간 페트리 네트는 실시간 값을 갖는 이산사건 시스템을 모델링하고 해석하기 위한 방법중 하나이다. 시간 페트리 네트는 각 트랜지션에 대하여 두 개의 시간 값, 최초 발화 시간 $\alpha$$_{i}$와 최종 발화 시간 $\beta$$_{i}$를 갖는다. 본 논문에서는 최적 발화 시간을 결정하기 위하여 퍼지 이론을 적용한 퍼지 트랜지션 시간 페트리 네트를 제안하였다. 퍼지 트랜지션 시간 페트리 네트의 트랜지션 점화 시간 ${\gamma}$$_{i}$는 고정 최초 발화 시간 $\alpha$$_{i}$와 고정 최종 발화 시간 $\beta$$_{i}$ 사이에서 어떠한 복잡한 계산 절차나 임의의 조건 없이 입력정보를 이용한 퍼지 이론으로부터 결정된다. 교차로에서 교통 신호제어기는 퍼지 트랜지션 시간 페트리 네트에 의하여 모델링되고 해석되었다. 퍼지 트랜지션 시간 페트리 네트의 중요한 특성은 교통 신호기의 모델링과 시뮬레이션에 의해서 보여진다. 의해서 보여진다.

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Stochastic Timed Net and Its Minimum Cycle Time Analysis (확률적 시간 넷과 최소 순회 시간 분석)

  • Yim Jae-Geol;Shim Kyu-Bark
    • Journal of Korea Multimedia Society
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    • v.9 no.5
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    • pp.671-680
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    • 2006
  • As a mathematical technique with which we can find the minimum duration time needed to fire all the transitions at least once and coming back to the initial marking in a timed net, the minimum cycle time method has been widely used in computer system analysis. A timed net is a modified version of a Petri net where a transition is associated with a delay time. A delay time used in a timed net is a constant even though the duration time associated with an event in the world is a stochastic number in general. In the consequence, the result of minimum cycle time analysis is not realistic. Therefore, we propose ‘Stochastic Timed Net' where a transition can be associated with a stochastic number and introduce a minimum cycle time analysis method for ‘Stochastic Timed Net’ As an example of the application of ‘Stochastic Timed Net’, we introduce a ‘Stochastic Timed Net' model of a Location Based Service Providing Multimedia System and the result of minimum cycle time analysis of it. Whereas the typical form of the result of the existing minimum cycle time analysis is 'It takes at least 10 time units', the typical form of the result of minimum cycle time analysis of a ‘Stochastic Timed Net' is in the probability form such as "The probability of the events in which it finishes its job within 10 time units is 85%."

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A Timed Fuzzy Petri Net Model for General Purpose Real-time Fuzzy Control (범용 실시간 퍼지 제어를 위한 시간형 퍼지 패트리넬)

  • Lee, Gang-Su;Kim, So-Yeon;Yun, Jeong-Mo
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.3
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    • pp.543-563
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    • 1996
  • In this paper, we propose a Timed Fuzzy Petri Net(TFPN) model as a new model of real-time fuzzy control. The TFPN model, which is useful for fuzzy inference and fuzzy control is an integrated model of Timed PetriNet and Fuzzy Petri Net. Additionally, a Timed Fuzzy Control Language is defined as a textual specification model of fuzzy control rues, and proposed a TFPN modeling method. The TFPN model is a Petri Net formalism of fuzzy control systems. Execution rule is consisted of marking(i.e,fuzzyfication) and firing(i.e,inference and defuzzyfication) procedures. A simple case work by using TFPN model shows us computing time of inference and defuzzyfication is low and uncertainty and visibility of fuzzy control rule are modeled effectively.

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A Study on the Design of Flexible Manufacturing Systems by using Petri Nets (페트리네트를 이용한 유연생산시스템 설계에 관한 연구)

  • Kim, G.B.;Lee, K.I.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.10
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    • pp.166-174
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    • 1995
  • Flelxible Manufacturing Systems(FMS), which consist of various machine groups, can produce machine parts in different physical dimensions and lot sizes. In this paper, a novel method which utilizes Colored and Timed Petri Net is proposed to model a FMS. Each machine group of FMS is modulized and modeled using expanded Petri Nets. Colored and Timed Petri Nets are defined, and the flexible manufacturing systems's design algorithm based on this definition is developed and verified in a real FMS plant by computer simulations.

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Modelling the Decision Support System in Flexible Manufacturing Systems Using Petri Nets (Petri Nets를 사용한 유연생산체제(FMS)에서의 의사결정지원체계(DSS)설계)

  • Kim, Jin-Gyu
    • Journal of Korean Society for Quality Management
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    • v.18 no.2
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    • pp.54-68
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    • 1990
  • Contingency response in a FMS system requires that the system be able to identify and evaluate a number of alternatives. This paper is outlined that DSS completes with a problem processor in corporating Timed Petri Nets model, and a data base system. DSS enables the FMS user to get the maximum benefit from a FMS. The structure of this DSS parallels the organizational activities involved in running the FMS. In designing a shop floor controller for FMS, interactions between the different real time, discrete event functions must be established. The specification of the machine tool and material handling system functions working as a concurrent and cooperative system is given in terms of Timed Petri Nets. In addition, the basic concepts and uses of Petri Nets are surveyed. The system to be studied is first modelled by a Timed Petri Nets and then procedure for evaluating the FMS system performance are presented. Numerical examples are studied to illustrate a session of the FMS used-DSS interaction.

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Process Optimization of an Automated System Using Critical Path Method (Critical Path 기법을 이용한 자동화 시스템의 공정 최적화 사례 연구)

  • Lee, Seung-Yeon;Gang, Gil-Sun;Jang, Jong-Tae;Yu, Jun
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.219-222
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    • 2003
  • 본 논문에서는 주어진 자동화 시스템에 대하여 Critical Path 기법을 적용한 최적화 연구를 수행하였다. 탄약 운반 자동화 시스템에 대하여 공정순서와 시간개념이 들어간 Timed Petri-Net을 이용한 이산사건 공정모델을 구축하였으며, 이를 기초로 초기조건 및 제약조건을 고려하여 제악탐색기법을 이용하여 Critical Path를 찾고 여유 공정을 산출항으로써 공정 시간 최적화를 수행하였다.

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A study on the reduction of generalized stochastic petri net (일반화된 확률 페트리 네트의 축소에 관한 연구)

  • 홍지민;이기동;이범희
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.324-329
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    • 1993
  • A reduction method of GSPN (generalized stochastic Petri net) is proposed. A GSPN is basically a SPN (stochastic Petri net) with transition a that are either timed or immediate. Then the proposed method is defined on the basis of the dynamic behavior and the structure of the net. The reduction preserves the properties such as liveness, boundedness, and allows easy analysis of the GSPN.

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The performance evaluation of Petri Net model using simulation method (시뮬레이션 기법을 이용한 페트리 네트 모델 성능 평가)

  • 강성귀;장석호;남부희
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.1105-1110
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    • 1993
  • We applied the simulation method using Petri Nets to a FMS model. Generally ordinary Petri Net would be short of describing a real FMS operations. Hence we adopted the extended Petri-Mets(EPN) and timed places in order to have performance evaluation. Our simulator use data based modeled of Petri Nets in simulation. We can enhance the overall production rate of the system with the obtained results over a number of simulations.

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Design of Traffic Signal Controller Using Fuzzy Transition Timed Petri Net (퍼지 트랜지션 시간 페트리 네트를 이용한 교통신호제어기 설계)

  • 모영승;김정철;김진권;황형수
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.264-267
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    • 2000
  • The need for including time variables in various type of modeled Discrete Event Dynamic Systems(DEDSs) is apparent since the modeled systems are real time in nature. In the real world, almost all event is related to time. A Time Petri Net(TPN) is one of methods for model ins and analyzing of DEDSs with real time values. Two time values, ${\alpha}$$\sub$i/ and ${\beta}$$\sub$i/ are defined for each transition. In this paper, Ire present Fuzzy Transition Timed Petri Net(FTTPN) to determine the optimal transition firing time between ${\alpha}$$\sub$i/ and ${\beta}$$\sub$i/ using fuzzy theory. The traffic signal controller in an intersection is modeled and analyzed by FTTPN.

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Efficient Computations for Evaluating Extended Stochastic Petri Nets using Algebraic Operations

  • Kim, Dong-Sung;Moon, Hong-Ju;Bahk, Je-Hyeong;Kwon, Wook-Hyun;Zygmunt J. Haas
    • International Journal of Control, Automation, and Systems
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    • v.1 no.4
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    • pp.431-443
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    • 2003
  • This paper presents an efficient method to evaluate the performance of an extended stochastic Petri net by simple algebraic operations. The reachability graph is derived from an extended stochastic Petri net, and then converted to a timed stochastic state machine, using a semi-Markov process. The n-th moments of the performance index are derived by algebraic manipulations with each of the n-th moments of transition time and transition probability. For the derivation, three reduction rules are introduced on the transition trajectories in a well-formed regular expression. Efficient computation algorithms are provided to automate the suggested method. The presented method provides a proficient means to derive both the numerical and the symbolic solutions for the performance of an extended stochastic Petri net by simple algebraic manipulations.