The Study of the Chaotic Behavior in Retailer's Demand Model

The Study of the Chaotic Behavior in Retailer's Demand Model

Based on the work of domestic and foreign scholars and the application of chaotic systems theory, this paper presents an investigation simulation of retailer's demand and stock. In simulation of the interaction, the behavior of the system exhibits deterministic chaos with consideration of syste...

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Main Authors: Junhai Ma, Yun Feng
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2008/792031
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spelling doaj-cf5962de0ee6455d9c27ad487bee8ddf2020-11-24T21:05:51ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/792031792031The Study of the Chaotic Behavior in Retailer's Demand ModelJunhai Ma0Yun Feng1School of Management, Tianjin University, Tianjin 300072, ChinaSchool of Management, Tianjin University, Tianjin 300072, ChinaBased on the work of domestic and foreign scholars and the application of chaotic systems theory, this paper presents an investigation simulation of retailer's demand and stock. In simulation of the interaction, the behavior of the system exhibits deterministic chaos with consideration of system constraints. By the method of space's reconstruction, the maximal Lyapunov exponent of retailer's demand model was calculated. The result shows the model is chaotic. By the results of bifurcation diagram of model parameters 𝑘, 𝑟 and changing initial condition, the system can be led to chaos.http://dx.doi.org/10.1155/2008/792031
collection DOAJ
language English
format Article
sources DOAJ
author Junhai Ma
Yun Feng
spellingShingle Junhai Ma
Yun Feng
The Study of the Chaotic Behavior in Retailer's Demand Model
Discrete Dynamics in Nature and Society
author_facet Junhai Ma
Yun Feng
author_sort Junhai Ma
title The Study of the Chaotic Behavior in Retailer's Demand Model
title_short The Study of the Chaotic Behavior in Retailer's Demand Model
title_full The Study of the Chaotic Behavior in Retailer's Demand Model
title_fullStr The Study of the Chaotic Behavior in Retailer's Demand Model
title_full_unstemmed The Study of the Chaotic Behavior in Retailer's Demand Model
title_sort study of the chaotic behavior in retailer's demand model
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2008-01-01
description Based on the work of domestic and foreign scholars and the application of chaotic systems theory, this paper presents an investigation simulation of retailer's demand and stock. In simulation of the interaction, the behavior of the system exhibits deterministic chaos with consideration of system constraints. By the method of space's reconstruction, the maximal Lyapunov exponent of retailer's demand model was calculated. The result shows the model is chaotic. By the results of bifurcation diagram of model parameters 𝑘, 𝑟 and changing initial condition, the system can be led to chaos.
url http://dx.doi.org/10.1155/2008/792031
work_keys_str_mv AT junhaima thestudyofthechaoticbehaviorinretailersdemandmodel
AT yunfeng thestudyofthechaoticbehaviorinretailersdemandmodel
AT junhaima studyofthechaoticbehaviorinretailersdemandmodel
AT yunfeng studyofthechaoticbehaviorinretailersdemandmodel
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