Study On The Supply Chain Network Equilibrium Model And Algorithm

Supply chain is a typical dynamic system. How to coordinate therelationships and benefits of the partners in supply chain management and findthe final supply chain network equilibrium status, is one of the importantproblems in supply chain management. The paper constructs two supply chainnetwork equilibrium model: Considering promised delivery supply chainnetwork equilibrium model and multiperiod supply chain network equilibriummodel of online shopping.Then we solve problem by iterative algorithms andshow that the algorithm is computationally efficient and operable by numericalexperiments.Moreover, we show that the effect of Changes of individual factorsto the supply chain.The main research results are as follows:1.Because of the fierce market competition, and the modern enterprise paymore and more attention to speed. So this paper considers the promiseddelivery to establish supply chain network equilibrium model. and discussesthe existence and uniqueness of the solution. Also using the numericalexperiment shows the influence of the change of the manufacturers product unitproduction time and the production cost for the entire supply chain. In thispaper,we use Lemke algorithm for solving supply chain model, Lemkealgorithm can improve the efficiency by avoiding the error in calculation. Atthe same time also used the numerical examples show that the computationalefficiency of Lemke algorithm is better than the projection algorithm. Finally,the numerical example is given to analyze the equilibrium state, the supplychain for the enterprise decision sales price and production scale has a certainrealistic guiding significance.2.Supply chain is a typical dynamic system, the relationship betweensupply and demand in the supply chain members will change over time. Andconsidering the rapid development of e-commerce in China, we establishmultiperiod supply chain network equilibrium model of online shopping, anddiscusses the existence and uniqueness of the solution. Considering thevariational inequality with linear equality constraints, here we use alternatingdirection method for solving the model, the effect is very good. Then analyzed the convergence of alternating direction method, At the same time also used thenumerical examples show that the computational efficiency of alternatingdirection method is better than the S-S algorithm. Finally, and the cases ofconfirmed the alternating direction method is better than the S-S algorithmthrough numerical. Finally, combined with the example, discussion of directselling and transportation cost changes on the impact of supply chain networkequilibrium. For the enterprises in the supply chain has a certain practicalsignificance.This paper made a detailed study of the supply chain network equilibriumproblem from the two aspects of the model and the algorithm, our work has realeconomic value.