Provide a multi-objective supply chain routing model with a passive defense approach in conditions of uncertainty

In this paper a stable multi-objective model of location,inventory,supply chain routing in conditions of uncertainty with a passive defense approach is presented.In the studied model,parameters such as demand.facility establishment cost and inventory maintenance cost are considered as indefinite and in the form of triangular fuzzy numbers.Also, in order to increase the resilience of the supply chain,the characteristics and capabilities of passive defense in the supply chain such as"ready flow rate","security of backup routes"and "possibility of deployment of resources and equipment" and the principle of dispersion for location were considered.First, a fuzzy multi-objective mathematical model was designed and then a stable supply chain model with a passive defense approach, using methods such as LP metric, a unique single-objective model, was generated and solved in Gomez software environment for small problems. The presented mathematics was validated. After checking the validity of the model, multivariate multi-objective particle mass algorithms based on Pareto archive and NSGA-II were used to solve the model. Sample problems in three groups of small, medium and large were solved by two algorithms MOPSO and NSGA-II and the results of the two algorithms were compared based on quality, scatter,uniformity and execution time.The results of this section showed that the multi-objective particle mass algorithm in all cases has a higher ability to produce higher quality solutions and explore and extract the scalable area of the answer than the NSGA-II algorithm.Also, the comparison of the execution time of the algorithms indicates that the multi-objective particle mass algorithm has a higher solution time