Transportation problem is critical component of optimization field, as it aims to reduce the total cost of distribution from a set of sources to a set of destinations. Numerous transportation alternatives have been examined in the literature. Certain strategies, such as the northwest corner method (NWC), the low cost method (LCM), and the Vogel approximation method (VAM) were designed to identify the simplest possible solution, while others were designed to identify the optimal solution. The Golden Ratio is employed in this study to approximate the ideal solution. This technique employs the golden ratio to alleviate transportation concerns (1.61803). To begin with, the said ratio is raised to the second lowest cost and we determine the optimal cost of converting amounts from supply to supply peaks, where desired results have been obtained which are solutions that are close to the optimal solution.
Transportation Problem (TP) cost is a term that refers to the operating costs associated with transportation. The cost of transportation is critical in order to optimize profit. In recent time, competitive global market and enterprises must carefully organize their transportation systems in order to keep transportation costs low. Modeling this transport channel is a management choice that entails determining the most cost-effective distribution strategy for a single homogenous item. This is referred to as a transportation issue, which may be expressed mathematically as a linear programming problem. A fundamental practicable solution is always necessary in the solution method of a transportation issue in order to reach the best solution. There several classic methods to find initial basic feasible solution (IBFS). In this work, a novel strategy for obtaining (IBFS) to (TP) is presented. Numerical examples are used to explain the suggested technique.
Industries must prepare to move their goods from production centers to end-users while keeping transportation costs as low as possible to maximize revenues. The transportation issue is a procedure that evaluates and minimizes the expenses associated with transportation. It is a well-debated topic in practical research because of its broad range of applications in various sectors such as scheduling, human resource management, product mix difficulties, and many others. This is an issue that affects more than just transportation and distribution. Finding a first fundamental solution to the transportation issue is a precondition for reaching the best answer to the transportation problem. In this study, we describe a novel technique for obtaining an initial basic feasible solution IBFS to transportation problems that uses a median. The proposed methodology is explained via numerical examples.
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