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Based on this, we investigate the optimizing behavior of the various decision-makers, derive the equilibrium conditions of the manufacturers, the retailers and the consumer markets respectively, and establish a nonlinear complementarity model of this problem. To obtain optimal decision for the problem, we propose a new type of algorithm based on established model, and its global convergence is presented without the assumption of global Lipschitz continuous in detail. The efficiency of given algorithm is also illustrated through some numerical examples.&lt;\/p&gt;<\/jats:p>","DOI":"10.3934\/mfc.2022001","type":"journal-article","created":{"date-parts":[[2022,2,15]],"date-time":"2022-02-15T08:10:05Z","timestamp":1644912605000},"page":"145","source":"Crossref","is-referenced-by-count":2,"title":["An optimization model and method for supply chain equilibrium management problem"],"prefix":"10.3934","volume":"5","author":[{"given":"Guirong","family":"Pan","sequence":"first","affiliation":[]},{"given":"Bing","family":"Xue","sequence":"additional","affiliation":[]},{"given":"Hongchun","family":"Sun","sequence":"additional","affiliation":[]}],"member":"2321","reference":[{"key":"key-10.3934\/mfc.2022001-1","unstructured":"D. P. 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