Supplier and Carrier Selection and Order Allocation by considering disruptions with AHP and Multi-objective Mathematical Programming

In this study, supplier and carrier selection and order allocation are considered to go for joint decision-making. To this end, somecriteria including cost, quality, delivery, resilience, social responsibility and supplier profile are determined to select the weight ofeach supplier by AHP. Then, multi objective mathematical model is developed to select the appropriate supplier and carrier andallocate orders of multi product with different discount levels in each period by suitable carriers to each supplier. The objectivefunctions in this study are minimizing cost, delivery and the number of defective items, and maximizing the efficiency of suppliers.Moreover, some constraints such as inventory capacity, shortage capacity, number of vehicle and breakdowns of them and etc. areapplied in this model. Finally, this model is solved by augmented ɛ -constraint method for determining pareto-optimal solution.