Many manufacturing companies produce their products in few locations and transport them to the different shops or demand points. In this paper work we will use the power of IP-Solver and Microsoft Solver Foundation in order to resolve logistical route optimization problem to reduce transportation cost of the fruit juice factory or to find the least expensive way to produce and transport products to the customers and meet customer demand. Fruit juice company produces juice in three different factories: F1, F2 and F3. Each week, the fruit juice factory must transport juice to the five different demand points: D1, D2, D3, D4 and D5. Speaking mathematical terms, our goal is to find minimal cost logistical route while passing all predetermined points on the way. This kind of problem is called:"A transportation problem" and can be set up as a integer linear programming model with the below specifications: Minimizing total production and shipping cost, Constraints-The amount shipped from each production point cannot exceed plant capacity. Every demand point must receive its required demand. Transportation trucks have the limit of loading quantity. Also, each shipping amount must be nonnegative At the end we will compare IP-Solver and Microsoft Solver Foundation results and least expensive way with the utmost expensive way.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.