The Research Of The Competing Model Of Supply Chain Enterprises Evolution Based On Fractional System Dynamics

Driven by economic globalization and enterprise informatization,the competition and cooperation between enterprises in supply chain system is becoming more and more complex.Different enterprises compete with each other to seek personalized development and form their core competitiveness,and at the same time cooperate closely with each other in a dynamic way to enhance cooperation and information sharing among enterprises,and so on.And finally realize the maximization of the overall benefit of the supply chain system and its win-win cooperation.In the increasingly complex market economy environment,competition and cooperation are the decision-making problems faced by supply chain managers at all times.The core problem that theoretical researchers and enterprise practice managers pay close attention to is how to balance the relationship of competition and cooperation between supply chain enterprises,how to realize the efficient management and service innovation of the enterprise through the dynamic evolution of the development trend of the enterprise and the timely regulation and control of the concurrence strategy,and how to drive it to the multi-win direction of the supply chain enterprise.In this dissertation,based on the theory of fractional order system dynamics,the model of a fractional order supply chain enterprise competing system is established based on the theory of fractional order system dynamics,and the asymptotic stability condition of the equilibrium point of the system is analyzed.In view of the different competing states between non-core enterprises in the transverse symmetric enterprises and the longitudinal asymmetric enterprises,the asymptotic steady-point process of each equilibrium point of the system is analyzed.Considering the time-delay between the system enterprises,the asymptotic stability of the equilibrium point with time-delay is analyzed,and the effect of the time-delay on the asymptotic stability and the asymptotic stability of the equilibrium point of the system of the fractional-order.supply chain is analyzed.The research shows that the supply chain enterprise system is asymptotically stable to the win-win equilibrium point when the competing state between horizontally symmetric enterprises or non-core enterprises in the supply chain enterprise competition system is a benign and non-intense competitive state.In the competitive system of supply chain enterprises,the competing state between enterprises is a kind of over-competitive state,when some or all of the horizontal symmetric enterprises and non-core enterprises of the system are gradually stable to zero;When the state of competition and cooperation between enterprises in supply chain enterprises is an over-cooperative state,the evolution of the system may appear periods,chaos and other unstable phenomena.At this time,the way to solve this problem is government regulation or enterprises themselves to strengthen competition.The asymptotically stable evolution of the enterprise transits to the win-win equilibrium point of the system.Considering the time delay of competitive system of supply chain enterprises,it can be concluded that the variation of time delay has a great influence on the process of asymptotically stable equilibrium point of weak competitive enterprises in the state of severe asymmetric competition.But the influence on the gradual process of strong competitive enterprises is not obvious;The variation of time delay has no obvious effect on the general equilibrium point asymptotic process of supply chain enterprise competition system in the win-win state,but has a strong fluctuation to the asymptotic process of the critical equilibrium point in the win-win state,delay asymptotically stable and periodic oscillation.Chaos and other unstable phenomena break the asymptotically stable critical win-win equilibrium point.The research results provide a theoretical reference for the study of competitive relationship between supply chain enterprises by using fractional system dynamics theory and provide theoretical support and decision-making basis for the development of supply chain enterprises to win-win situation.The thesis consists of 71 figures,6 tables and 176 references.