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Modeling and Analysis of Logistics System Based on Stochastic Petri Net under Supply Chain Circumstances
Authors:SUN Liang  WANG Guang-chen  SUN Jian-zhen
Institution:1. School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255049, China
2. School of Mathematics, Shandong Normal University, Jinan 250014, China
3. School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
Abstract:In order to describe the impacts of adjustment ability of logistics system on the profit and cost of logistics system, we constructed a model of logistics system based on stochastic Petri net (SPN), and proposed a theorem for the adjustment ability of logistics system under supply chain circumstances on condition that the payoff of supply chain is a steadily increasing process. Then we put forward that a sequence of MGF (moment generating function) of out-of-goods risk process for logistics system is a martingale. The model we proposed can overcome shortcomings of the previous ones that can not describe the characteristics of the adjustment ability of logistics system. The results of simulation experiments are consistent with theoretical analysis.
Keywords:Logistics engineering  Logistics system  Stochastic Petri net
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