“…The facility allocation problem aims to find the optimal placement of facilities that minimizes costs, maximizes service levels, and improves overall supply chain performance (Amin-Tahmasbi et al, 2023). The problem considers various factors such as facility coverage, facility attractiveness in terms of transportation distance, transportation costs, product availability, inventory costs, facility capacities, customer demand patterns, and service requirements (Jalal et al, 2022), (Chauhan et al, 2019), (Zahraee et al, 2020), (Che et al, 2022). Thus, the facility allocation problem is a complex optimization problem involving multiple objectives and constraints.…”