reproduction management, available stocks and a target quota of a weekly number of farrowing to integrate piglet production into the pig supply chain management. As result, an optimal replacement policy of sows and a scheduling of purchases of gilts during the whole planning horizon are provided. The model is solved using the algebraic modeling language ILOG OPL 6.1 with CPLEX 11.2 as the linear optimization solver. The article also discusses results obtained from a sensitivity analysis performed to assess the suitability of the model approach and the benefits of representing real variability over time against time homogeneity. In addition, the analysis and results presented lead to better understand sow herd dynamics over a finite time-horizon and corresponding performance.