“…Global optimization for integer problems has application in various areas such as resource application in production planning, redundancy optimization in reliability network, chemical process design, medical and biological systems applications, and multi-agents systems among others [15,17,7,50,44,38,10,9,34,53,12,55,2,45,6,42,24,30,16]. A variety of approaches for solving such problems were earlier developed, including the cutting plane algorithm proposed by Gomory [13] and the branchand-bound algorithm by Land and Doig [21].…”