<p class="0abstract">This paper studied on supply chain in terms of order and inventory problems and factors. The extended review of this paper showed that extra costs are the most important factors in the survival of an organization and have a significant impact on company competitiveness. However, holding inventory, order acceptance, and functional risks are factors that have not been studied simultaneously. The purpose of this paper is to provide a review on critical problems and factors in

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... rder and inventory models under supply chain management. This paper selected and reviewed 56 published articles in a decade through 30 famous relevant journals which were chosen from the "Science direct and Scopus" databases. Amongst 56 articles, "International Journal of Production Economics" was ranked as the first by 11 published articles.<strong><strong></strong></strong> In this regard, the applications of the Artificial Neural Network method which called "ANN", ant colony algorithm and queue theory have been proposed. All published articles were categorized based on the author number, The first author name, publication year, problems, factors, type of manufacturing industries, research methods and results and findings. Results of this paper acknowledge that order management and inventory control can help decision makers and researchers in solving some problems in manufacturing industries.</p>