A two-stage stochastic programming model for scheduling replacements in sow farms |
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Authors: | Sara V Rodríguez Victor M Albornoz Lluís M Plà |
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Institution: | 1. Departmento de Matemática, Universidad de Lleida, Campus Cappont, c./Jaume II, 73, 25001, Lleida, Espa?a 2. Departamento de Industrias, Universidad Técnica Federico Santa María, Campus Santiago, Av. Santa María 6400, Santiago, Chile
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Abstract: | This paper presents a formulation and resolution of a two-stage stochastic linear programming model with recourse for sow
farms producing piglets. The proposed model considers a medium-term planning horizon and specifically allows optimal replacement
and schedule of purchases to be obtained for the first stage. This model takes into account sow herd dynamics, housing facilities,
reproduction management, herd size with initial and final inventory of sows and uncertain parameters such as litter size,
mortality and fertility rates. These last parameters are explicitly incorporated via a finite set of scenarios. The proposed
model is solved by using the algebraic modelling software OPL Studio from ILOG, in combination with the solver CPLEX to solve
the linear models resulting from different instances considered. The article also presents results obtained with previous
deterministic models assessing the suitability of the stochastic approach. Finally, the conclusions drawn from the study including
an outlook are presented.
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Keywords: | Replacement Planning Stochastic programming Sow herd management |
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