Introduction to Logistics Systems Analysis Using Petri Nets
MAGAZINE №5 (82) October 2017
AUTHORS PETROVSKIY D.V.
CATEGORY Analysis in logistics and SCM Simulation modelling
ABSTRACT
The purpose of this article is to show the possibilities of using stochastic Petri nets for the logistic systems analysis in order to optimize their operation. This article deals with the mathematical apparatus of Petri nets, moreover, it also shows an algorithm for making performance analysis. As an example, the simplest model of unloading a vehicle was developed and analysed to determine the main characteristics of a given model. In order to perform the performance analysis of given Petri net, the state space of this network was constructed and a state space stationary distribution of the system was found analytically. That allowed to determine the key parameters of the model; Performance analysis was performed without using third-party software. As a result, it has been shown that Petri nets are a simple and convenient tool for logistics systems optimization and design. Therefore, Petri nets can be used as a support mechanism for decisions making at various levels of supply chains.
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Using Apparatus of Stochastic Petri Nets when Controlling Logistics Systems Parameters
MAGAZINE №6 (83) December 2017
AUTHORS PETROVSKIY D.V., KOKURIN D.I.
CATEGORY Analysis in logistics and SCM Simulation modelling
ABSTRACT
The article considers the use of the apparatus of stochastic Petri networks during supply chain analysis. The main object of the analysis is the storage and production modules and their interaction with other elements of the system. First, the logistical system under consideration was represented in the form of a stochastic Petri network, then two models of one system with different initial conditions were created with the purpose of their behavior analysis and comparison. Analysis of the results of the models was carried out by two methods: the construction of an analytical model of the Petri net; simulation of the model work during a specified period. In addition, the paper deals with the problem of exponential explosion; the dependence of the number of the system possible conditions on the change of its parameters is shown. As a result, it was shown how the behavior of the system depends on the change in the product delivery time and what period is critical for the production deficit.
Keywords:
Simulation parameters of logistics systems for the effects of the statistical instability of their functioning
MAGAZINE №1 (60) February 2014
AUTHOR VASILYEV A.M.
CATEGORY Optimization and economic-mathematical modeling Reliability and stability of the supply chain Uncertainty and risk in the supply chain
ABSTRACT
The paper presents an approach to modeling the process of the logistics system as a Queuing system with breaks, considered various options for determining the parameters of the operation of the logistics systems taking into account transients on a regular basis (breaks).
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