A Model for Planning the Sowing of Agricultural Crops and Raising Animals Through Two-Stage Mathematical Programming

Abstract

In this chapter, the authors present a mathematical model to calculate the exact quantities of animals that must compose a herd given the water, food, and land conditions available for their breeding. In the same model, the optimal calculation of vegetables that can be cultivated in the available land spaces is incorporated considering the same restrictions of water, nutrients, and area available for planting. Both models focus primarily from a deterministic perspective. Subsequently, the randomness of the same is uncovered through the uncertainty in the availability of water. Therefore, the first part of the proposal is made through a simple model of linear mathematical programming. The stochastic model is constructed from a two-phase mathematical programming model. The novelty of the proposal and its contribution consists of illustrating, step by step, the construction and solution of the scenarios of the stochastic model for a problem related to agriculture and animal husbandry.