A Capacitated Facility Allocation Approach Based on Residue for Constrained Regions

Allocation of services has observed widespread applications in real life. Therefore, it has gained comprehensive interest of researchers in location modeling. In this paper, the authors aim to allocate \( p \) capacitated facilities to \( n \) demand nodes in constrained demand plane. The allocation is aimed to minimize the total transportation cost. The authors consider continuous demand plane, which is constrained by the presence of barriers. Here, the authors present a residue-based capacitated facilities allocation (RBCFA) approach for allocation of capacitated facilities. Finally, an illustration of RBCFA is presented in order to demonstrate its execution. Authors also perform tests to validate the solution, and the tests yield that suggested approach outperforms traditional approach of allocation. It is observed that although the achievement by RBCFA is not significant for few resources, achievement is significant as the number of resources rises.