“…A new approach has been developed to solve un-balanced TP due to additional supply (Uddin, Md M et al, 2015). Some of the well-known methods discussed and established for finding an IBFS to TPs are the North West Corner method (NWCM), Least Cost Method (LCM), Vogel's Approximation Method (VAM) and Allocation Table Method (ATM) (SahitoSabeen et al, 2021;Ahmed et al, 2016;Azad, S. M. A. K., and MdBellel Hossain et al, 2017;Patel et al, 2017;W. A. Shaikh et al, 2021;Hussein, H. A., &Shiker, M. A. K., 2020;Jain, SmitaSoodandKeerti, 2015;Mahmood et al,2020;Bisht, Monika, and Rajesh Dangwal 2022;Ahmar, Ansari Saleh, 2022;Khan, Aminur Rahman, 2012;Bas, Sema Akin et al, 2022;A.G.…”