Abstract-One of the issues of designing supply chain network is "Supply chain ordering management ". 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 accepting, and functional risks are factors that have not been studied simultaneously. The purpose of this paper is to provide a review on order and inventory and use of Activity based costing approach in regard to supply chain management and costs managing. This paper selected and reviewed 56 published articles in a decade of 32 important journals related to order and inventory of supply chain manufacturing industries which chosen from the "Science direct and Scopus" databases and 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. Finally, International Journal of production Economics was ranked the first. Results of this paper acknowledge that order management and inventory control can help decision makers in solving some problems under uncertainties situations of demands in environmental manufacturing industries and this approach have seen increasing interest among previous researchers to use this approach in various steps of supply chain management.