Modeling and Analysis of Network Control System Based on Hierarchical Coloured Petri Net and Markov Chain

Abstract

This paper investigates a modified modeling of networked control systems (NCSs) with programmable logic controller (PLC). First, the controller-to-actuator and sensor-to-controller network-induced delays are investigated by a modeling tactics based on hierarchical coloured petri net (HCPN) in a structure-conserving way. Comparing with the recent result, the signal transmission delay is set in a random interval instead of a fixed mode; moreover, the data packet drop out and disorder are also taken into consideration. Second, delays captured form CPN tools are analyzed with a strategy based on Baum–Welch algorithm and statistics science. Besides, time delays are modeled as a Markov chain and the transition probabilities is calculated using the consequent from the previous operation. Finally, a comparison verification illustrates the equivalence property between proposed models.

Analysis of Green Closed-Loop Supply Chain Efficiency under Generalized Stochastic Petri Nets

“…Although some scholars have utilized the mixed-integer linear programming method to study the closed-loop supply chain network [17,19], the subject of these studies is not the green closed-loop supply chain and at the same time did not take into account the impact of stochastic perturbations caused by the occurrence of stochastic events on the system as a whole. Compared with the same research on the green supply chain system as a whole [23], this paper starts from the perspective of the green supply chain system as a whole and analyzes the operational performance of the system as a whole as well as the operational efficiency of each link by using the relevant theories of the generalized stochastic Petri nets, which expands the scope of the application of the generalized stochastic Petri nets, enriches the relevant theories on the green closed-loop supply chain and generalized stochastic Petri nets, and at the same time provides a theoretical basis for the subsequent research on the green closed-loop supply chain system as a whole.…”

“…Since the Petri net has good characteristics such as dynamic, concurrent, and intuitive graphics, Petri nets have been used in supply chain business process simulation, supply chain management process optimization and supply chain modeling. There is a mutual isomorphism between Petri nets and Markov chains [22], so when using Petri nets to study the operational performance of supply chain systems, they are often transformed into their isomorphic Markov chain models, and further research is carried out on this basis [23]. Wang et al [24] used generalized stochastic Petri nets to model and analyze the operational performance of remanufacturing supply chains.…”

Modeling and Analysis of Distributed Control Systems: Proposal of a Methodology

“…To estimate the throughput and response of a DCS, this system can be considered a Cyber-Physical System (CPS) that can be modeled and analyzed using the concept of Hybrid Systems [7,8]. Computing processes and communication networks within the DCS can be considered as systems with discrete events, which are convenient to model using a number of approaches including Finite-State Automata and Petri nets [9][10][11].…”