Efficient Algorithms for Identifying Loop Formation and Computing θ Value for Solving Minimum Cost Flow Network Problems

While the minimum cost flow (MCF) problems have been well documented in many publications, due to its broad applications, little or no effort devoted explaining algorithms for identifying loop formation and computing θ value needed solve MCF network problems. This paper proposes efficient algorithms, MATLAB computer implementation, solving Several academic real-life solved validate proposed algorithms; numerical results obtained by developed code compared matched with built-in function Linprog() (Simplex algorithm) further validation.