A linear mathematical programming model for the governmental barter supply chain

Exchange of goods with goods or supplies Although the long-standing method is in trade, today, new and emerging networks of national and international networks have found a special place. Aiding economic boom, confronting monetary sanctions, maintaining foreign exchange reserves, maintaining labor force, etc. is one of the benefits of modern markets. Given the widespread presence of these markets, proper management to balance the market, reduce costs, reduce the risk of entry into a network, etc., requires a thorough and math-molded modeling. In this paper, a multipurpose mathematical optimization problem has been designed and implemented with the aim of reducing the costs and liabilities of countries by considering a government-run network of several countries as members of the network to supply the goods needed by each country. The results of solving the proposed model show that the proposed model can provide a suitable model for the production and exchange of goods between the countries forming a public government network.