![]() GAMS, AMPL, TORA, LINDO), having stored an LP transportation problem R code in your personal code library could save you a significant amount of time by not having to write the formulation from scratch, but instead by only having to change the coefficients and signs of the corresponding matrices. While there are other free optimization software out there (e.g. The lpSolve R package allows to solve LP transportation problems with just a few lines of code. The transportation problem represents a particular type of linear programming problem used for allocating resources in an optimal way it is a highly useful tool for managers and supply chain engineers for optimizing costs. There is no other possible combination of variables that will lead to a lower transportation cost. The table above shows the optimum combination of products from supplier i to customer j while satisfying the supply and demand constraints. LP Transportation Problem Example - Solution
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