The complexity analysis and chaos control in omni-channel supply chain with consumer migration and advertising cost sharing

Xingli Chen and Jianheng Zhou

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: Based on omni-channel retailing, considering consumer migration and advertising cost sharing, this paper builds a dynamic price and advertising game model of omni channel supply chain with BOPS (buy-online-pickup-in store). Based on game theory and chaotic dynamics theory, we analysis equilibrium points and local stability of the system. Besides, we focus on the stability and complexity of the system with respect to adjustment parameters, the migration rate of the online consumer (MROC), the migration rate of traditional consumer (MRTC) and advertising cost sharing rate (ACSR). These factors are discussed by numerical simulation. Such as 3D stable region, attraction basins and bifurcation diagram. Results show that over high adjustment parameter, MRTC and ACSR lead the system to lose control and show complexity behaviors. As the system go into a chaotic state, the profits of manufacturer and retailer tend to decline. Finally, because of the effects of chaos, the paper proposes the feedback control method to control efficiently the chaotic system. The results provide some managers with relevant management insights in an omni-channel supply chain.

Keywords: Omni-channel; Complexity; Consumer migration; Chaos control; Advertising (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S096007792100237X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s096007792100237x

DOI: 10.1016/j.chaos.2021.110884

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().