• Title/Summary/Keyword: Stochastic Petri nets

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Modeling, Analysis of Flexible Manufacturing System by Petri Nets (유연제조시스템을 Petri Nets으로 구현하고, 결과를 다른 시뮬레이션과 비교, 검토)

  • Lee, Jong-Hwan
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.3
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    • pp.36-41
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    • 2005
  • 페트리 네트(Petri Nets)는 이산 사건 시스템을 모델링할 수 있는 그래픽하고, 수학적인 도구이다. 본 연구는 유연제조 시스템을 확률적인 페트리 네트(Stochastic Petri Nets)중의 하나인 임베디드 마코프 체인(Embeded Markov Chain)에 도입하고, 임베디드 마코프 체인의 방법 중에 하나인 일반화된 확률적 페트리 네트(Generalized Stochastic Perti Nets)에 적용시켰다. 그리고 결과치의 정확성을 알아내기 위하여, 페트리 네트 시뮬레이션과 아레나를 사용하여 실행하였다.

Performance evaluation of telecommunication protocols using stochastic petri nets reward model (Stochastic Petri Nets Reward Model을 이용한 통신 프로토콜의 성능평가)

  • 로철우;장직현
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.4
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    • pp.1-14
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    • 1995
  • A new stochastic Petri nets model, called Stochastic Petri Nets Reward Model(SPNRM) is used for modeling and evaluating the performance of telecommunication protocols. We have developed a SPNRM of the TDX-10 Internal protocol, which has a packet data exchange facility between DCEs, Especially a timer and retransmission handling model is presented for error control of the data transmission phase. The stochastic Petri nets package(SPNP), a software package for SPNRM used in this paper, has been used to generate numerical results by analytical-numerical method rather than simulation. From the steady state solution of the net, it is possible to calculate automatically the performance measure of the protocol medeled with both end-to-end and link-by-link method, which are the mean response times and the throughputs.

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Analysis of the traffic flow using stochastic Petri Nets (스토케스틱 페트리 네트를 이용한 교통 흐름 분석)

  • Cho, Hwon;Ko, In-Sun
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1504-1507
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    • 1997
  • In this paper, we investigate a traffic flow modeled by stochastic Petri nets. The model consists of two parts : the traffic flow model and signal controller model. These models are used for analyzing the flow of the traffic intersection. The results of the evaluation are derived from a Petri Net-based simulation package, Greatspn. Through simulation we compare the performances of the pretimed signal controller with those of the trafic-adaptive signal controller.

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Development of Simulator based on Object-Oriented Programming for Chip Mounter Using Stochastic Petri Nets (확률 페트리 네트를 이용한 객체지향 기반의 표면 실장기 시뮬레이터 개발)

  • 박기범;박태형
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.57-57
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    • 2000
  • The purpose of this paper is show that an chip mounter can be modeled by stochastic petri nets, and that the simulator to verify a fitness of the program to assemble. The chip mounter can be constructed by using the petri net class (CPetriNet) based on the object-oriented programming. By using this simulator, we can get the information about the description of motion of the chip mounter, and moreover, we can evaluate the productivity.

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Availability Analysis of Computer Network using Petri-Nets

  • Ro, Cheul Woo;Pak, Artem
    • Proceedings of the Korea Contents Association Conference
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    • 2009.05a
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    • pp.699-705
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    • 2009
  • This paper reviews methods used to perform reliability and availability analysis of the network system composed by nodes and links. The combination of nodes and links forms virtual connections (VC). The failure of several VCs cause failure of whole network system. Petri Net models are used to analyze the reliability and availability. Stochastic reward nets (SRN) is an extension of stochastic Petri nets provides modelling facilities for network system analysis.

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Stochastic Petri Nets Modeling Methods of Channel Allocation in Wireless Networks

  • Ro, Cheul-Woo;Kim, Kyung-Min
    • International Journal of Contents
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    • v.4 no.3
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    • pp.20-28
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    • 2008
  • To obtain realistic performance measures for wireless networks, one should consider changes in performance due to failure related behavior. In performability analysis, simultaneous consideration is given to both pure performance and performance with failure measures. SRN is an extension of stochastic Petri nets and provides compact modeling facilities for system analysis. In this paper, a new methodology to model and analyze performability based on stochastic reward nets (SRN) is presented. Composite performance and availability SRN models for wireless handoff schemes are developed and then these models are decomposed hierarchically. The SRN models can yield measures of interest such as blocking and dropping probabilities. These measures are expressed in terms of the expected values of reward rate functions for SRNs. Numerical results show the accuracy of the hierarchical model. The key contribution of this paper constitutes the Petri nets modeling techniques instead of complicate numerical analysis of Markov chains and easy way of performance analysis for channel allocation under SRN reward concepts.

Performance Evaluation of FMS Using Generalized Stochastic Petri Nets (Generalized Stochastic 페트리네트를 이용한 유연생산시스템의 성능평가)

  • 서경원;박용수;박홍성;김종원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.653-657
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    • 1994
  • A symbolic performance analysis approach for flexible for manufactring systems (FMS) can be formulated based on the integration of Petri Nets (PN) and moment generating function (MGF) concept. In this method, generalized stochastic Petri Nets are used to define performance models for FMS, then MGF nased approach for evaluating stochastic PN is used to derive performance parameters of PN, and finally system performance is calculated. A GSPN model of machine cell is shown to illustrate the proposed method for evaluating such performance indices as production rate, utilization, work-in-process and lead time. The major advantage of this method over existing performance evaluation of FMS is the ability to compute symbolic solutions for performance. Finally future research toward automating performance measure for GSPN models of FMS is discussed.

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Design and Reliability Analysis of Concurrent System by Petri Nets: A Case on Lift System (패트리네트를 이용한 병행 시스템의 설계 및 신뢰성 분석 : 승강기 시스템을 중심으로)

  • 김기범;이강수
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.2
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    • pp.1-7
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    • 1993
  • In this paper, we show that Petri nets can be applied to design and reliability analysis of concurrent, parallel and embedded mode system such as a lift system that is familiar to our daily life. Modeling the behavioral characteristics of the lift system we extend the standard Petri nets by nadditionally constant timed transition, fault transition, stochastic imed ttransition and conditional transition concepts. Likewise, we present esults of rdesign and analysis of the system. This method can be applied to esign and danalysis of any other concurrent systems.

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Synchronic relations with a time constraint

  • Koh, Inseon
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.676-680
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    • 1994
  • Three synchronic variables (Deviation Time, Fairness Time, Synchronic Time) are defined for Timed Place Petri Nets (TPPN). These parameters show the dependency between the firing of transition subsets in the time domain by different values. The approaches in this paper can be used to find synchronic relations in Stochastic Petri Nets. This paper presents how to decide the minimum resources required to a Flexible Manufacturing Cell using Synchronic Time concept.

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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.