A p-robust mathematical model for a sustainable vaccine supply chain
محورهای موضوعی : Supply Chain ManagementSaed Fazayeli 1 , Mahmoud Pormollaahmad 2 , Ali Doniavi 3
1 - Faculty of Engineering, Urmia University, Urmia, West Azerbaijan Province, Iran
2 - Master of Science in engineering, Urmia University, Urmia, West Azerbaijan Province, Iran
3 - Faculty of Engineering, Urmia University, Urmia, West Azerbaijan Province, Iran
کلید واژه: Words: vaccine supply Chain, sustainability, p-robust model,
چکیده مقاله :
This paper introduces a multi-product, multi-period, and multi-level sustainable supply chain (SC) network problem, including several production centers. It includes stocking technology and different transportation methods in conditions of uncertainty. The increasing demand for vaccines in the conditions of the corona virus epidemic and the existing sensitivities towards the stability characteristics as well as the unique characteristics of the vaccine SC are the reasons for redesigning this network. The economic, environmental and social goals are considered in presented mathematical model in order to achieve organization's sustainability strategy and stakeholder satisfaction. The economic objective function includes two types of tactical and strategic costs to avoid creating sub-optimal solutions. The environmental objective function calculates the total emission of pollution in SC. The social objective is to maximize the social responsiveness of the SC. Three indicators including job opportunity creation (positive effect), employee health and safety (negative effect) and customer health as risk of harm to customer using product (negative effect). LP metric and epsilon limit methods are used to solve the model in small dimensions and Pareto front drawing method is used to draw the conflict of interest diagram. A numerical example has been proposed to evaluate and test the model, and in order to deal with non-deterministic parameters and reduce its impact on the optimal solution, a robust optimization model has been proposed. Finally, the results in deterministic and robust state has been compared.
This paper introduces a multi-product, multi-period, and multi-level sustainable supply chain (SC) network problem, including several production centers. It includes stocking technology and different transportation methods in conditions of uncertainty. The increasing demand for vaccines in the conditions of the corona virus epidemic and the existing sensitivities towards the stability characteristics as well as the unique characteristics of the vaccine SC are the reasons for redesigning this network. The economic, environmental and social goals are considered in presented mathematical model in order to achieve organization's sustainability strategy and stakeholder satisfaction. The economic objective function includes two types of tactical and strategic costs to avoid creating sub-optimal solutions. The environmental objective function calculates the total emission of pollution in SC. The social objective is to maximize the social responsiveness of the SC. Three indicators including job opportunity creation (positive effect), employee health and safety (negative effect) and customer health as risk of harm to customer using product (negative effect). LP metric and epsilon limit methods are used to solve the model in small dimensions and Pareto front drawing method is used to draw the conflict of interest diagram. A numerical example has been proposed to evaluate and test the model, and in order to deal with non-deterministic parameters and reduce its impact on the optimal solution, a robust optimization model has been proposed. Finally, the results in deterministic and robust state has been compared.
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