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Transportation problem could be extended to transshipment problem using the addition of additional transient node(s). This makes the transportation of goods easier between sources to destinations. We study the transshipment problem containing transient nodes between sources and destination nodes. We solve the problem using two existing methods: Vogel’s Approximation Method (VAM) and using a mathematical model. The VAM method is used to find the solution by converting the transshipment problem to a transportation problem. The method is applied in two-steps. While converting the transshipment problem to a transportation problem, we consider some costs as zero or M depending on some goods transport criterion in the specific test example. The problem is then solved using the mathematical model of network flow. The optimal solution found this way is used to compare the solution found using VAM. The paper concludes that VAM, which is applied through multiple stage process is an efficient one on transshipment problem having transient nodes.