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Interval Goal Programming Applied to Farm Management

B. Vitoriano, M.T. Ortuño Sánchez

Applied Mathematical Programming and Modelling - APMOD 2000, London (United Kingdom). 17-19 abril 2000


Summary:
The agricultural production process entails taking a large number of decisions aimed at improving productivity and achieving the best yield from available resources, which are normally limited. Assuming that there is a certain technical path of tasks to be carried out within a period, and that each task can be done in different ways, the problem consists on choosing how and when to carry out each one, in such a way that the tasks are scheduled in sequence at the lowest possible cost, taking account of any relations of precedence among them, and in such a way that each task is done within its time window and with the resources being assigned in a feasible way. Time windows are usually defined in an strict way, and thus, if adjusted, can be cause of infeasibility for some of the problems. Nevertheless, this is not a real situation, because developing a task out of its time window involves production loss, but not necessarily infeasibility. In this paper an integer programming model to attain the proposed objective is proposed, applying interval goal programming to model time windows in a more flexible way. AMS Classification: 90C10,90C50


Keywords: Agricultural Planning, Integer Programming, Interval Goal Programming


Publication date: April 2000.



Citation:
Vitoriano, B., Ortuño Sánchez, M.T., Interval Goal Programming Applied to Farm Management, Applied Mathematical Programming and Modelling - APMOD 2000, London (United Kingdom). 17-19 April 2000.

IIT-00-012A