Evaluation of Natural Disaster Emergency Response Procedure Based on Petri Net

2013 ◽  
Vol 339 ◽  
pp. 236-241
Author(s):  
Ying Zhang ◽  
Shi Hang Huang ◽  
De Peng Dang ◽  
Hui Ruan
Keyword(s):  
Decision Making ◽  
Markov Chain ◽  
Steady State ◽  
Emergency Response ◽  
Petri Net ◽  
Limited Resource ◽  
Scientific Basis ◽  
Emergency Plan ◽  
Stochastic Petri Net ◽  
State Nature

How to ensure a smooth, fast and efficient emergency response procedure becomes a highly concerned issue. However, a procedure of emergency plan may be confusing and inefficient in reality due to delay caused by waiting for decision-making, responding to conflicts and limited resource during the process of dealing with emergency. In this paper, we propose a colored stochastic Petri net to evaluate the security and complexity of emergency response procedure and the reasonableness of resource flow, so as to effectively analyze the potential deficiencies of emergency response procedure. We firstly establish a colored stochastic Petri net, and then convert the colored stochastic Petri net to an isomorphic Markov chain. Studying the structural properties of the colored stochastic Petri net and steady-state nature of the Markov chainprovides a scientific basis for the perfection of emergency plan. Meanwhile, it also ensures an ordered and efficient implementation of emergency response procedure in an emergency.

Runway Utilization Analysis Based on the Stochastic Petri Net Model

2013 ◽  
Vol 411-414 ◽  
pp. 1750-1756
Author(s):  
Gao Yang Jiang ◽  
Jie Ning Wang ◽  
Chun Feng Zhang ◽  
Mei Dong
Keyword(s):  
Markov Chain ◽  
Steady State ◽  
Petri Net ◽  
Simulation Method ◽  
State Probability ◽  
Homogeneous Markov Chain ◽  
Steady State Probability ◽  
Stochastic Petri Net ◽  
Markov Chain Method ◽  
Key Indicators

Runway utilization is one of the key indicators of airport operational efficiency. Firstly, stochastic Petri net was introduced to built runway system operational model, and then we analyzed the reachability graph of this model, which not only prove the reachability and boundedness of this model, but also can be used to transform to homogeneous Markov chain. Secondly, The system steady-state probability expressions in various states were established based on the homogeneous Markov chain. Thirdly, runway utilization was calculated based on the steady-state probability expressions. During simulation, runway utilizations in various conditions were analyzed by changing some transitions fire rate. Both Markov chain method and petri net simulation method are useful for runway utilization improvement.

Vulnerability, Uncertainty and Probability (VUP) Quantification of a Network of Interacting Satellites Using Stochastic Petri Nets (SPN)

2013 ◽  
Author(s):  
Atefeh Einafshar ◽  
Farrokh Sassani
Keyword(s):  
Markov Chain ◽  
Quantitative Analysis ◽  
Petri Nets ◽  
State Space ◽  
Petri Net ◽  
Stochastic Petri Nets ◽  
Discrete State ◽  
New Approach ◽  
Stochastic Petri Net ◽  
Discrete State Space

A new approach to Vulnerability, Uncertainty and Probability (VUP) quantification procedure using Stochastic Petri Nets within a network of interacting satellites is presented. A Stochastic Petri Net based model is developed to quantify VUP in a network of interacting satellites. Three indicators are proposed to determine the VUP definitions in interacting network of satellites. The proposed VUP quantification scheme addresses a methodology which employs a Stochastic Petri Net for quantitative analysis of the behavior of the network. With the random variables associated with the Petri Net transitions, the dynamic behavior of the cooperating satellites in a SPN model can be mapped onto a time-continuous Markov chain with discrete state space. After generating a Markov Stochastic Petri Net model, the probability of a given condition in the network at a specified time can be computed and quantified as well as the vulnerability and uncertainty of the system using the identified indicators.

Research on Mechanical Automation with Analysis of Modeling Train Collision Accident Based on Stochastic Petri Net

2013 ◽  
Vol 738 ◽  
pp. 215-218
Author(s):  
Cheng Xuan Cao ◽  
Chao Wu ◽  
Ya Hua Sun ◽  
Ke Ping Li
Keyword(s):  
Markov Chain ◽  
Quantitative Analysis ◽  
Petri Net ◽  
Historical Data ◽  
Safety Management ◽  
Case Analysis ◽  
Stochastic Petri Net ◽  
Railway Safety ◽  
Accident Statistics

In this paper, we study the mechanical automation with analysis of modeling train collision accident based on stochastic Petri net and propose a model of train collision accident based on the theory of stochastic Petri net (SPN), and verified the validity of the model by testing its soundness. By isomorphic to Markov chain, we also can carry out quantitative analysis of the train collision accident. According to the data extracted froma large number of historical data of the accident statistics, we have carried out a case analysis and discussion, and the results presented in this paper may be useful to the railway safety management.

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