OPTIMIZING COST IN A SINGLE-ORIGIN, MULTI-ENDPOINT TRANSPORTATION PROBLEM
Abstract
The optimization of transportation logistics is a critical aspect of supply chain management, directly influencing cost efficiency and operational performance. This study investigates the single-origin, multi-endpoint transportation problem, focusing on minimizing distribution costs while satisfying demand constraints at multiple destinations. Utilizing data from Mai Dabino Company, a linear programming model was formulated and solved using the lpSolve package in R Software. The data included transportation costs per pack to five depots: Kerau (60 Naira), Central Market (90 Naira), Dandagoro (120 Naira), Turai Yar'adua Hospital (100 Naira), and Yarkutungu (80 Naira), with a total supply of 1000 packs and varying demands at each depot.
The results revealed an optimal transportation schedule that allocated 300 packs to Kerau, 200 packs to Central Market, 150 packs to Dandagoro, 250 packs to Turai Yar'adua, and 100 packs to Yarkutungu. The total minimum distribution cost was calculated to be N87,000. The study also identified the most cost-effective routes, which were visually represented through a transportation network graph.
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