A continuous start-up model for capacitated lot sizing.

ESCALANTE, MARIANA SILVINA; MARENCO, JAVIER; VARALDO, MARIA DEL CARMEN

Rosario, Argentina

Congreso; II Congreso de Matemática Aplicada, Computacional e Industrial; 2009

Siam-Argentina

In this work we consider the single-item single-machine lot-sizing problem with continuous start-up costs.In this problem, a continuous start-up cost is generated in a period whenever there is a nonzero production in the periodand the production capacity in the previous period is not saturated. This concept of start-up does not correspond to thestandard (discrete) start-up considered in previous models, thus motivating the study of this model from a polyhedralpoint of view. In this work we present a minimal set of equations for the convex hull of feasible solutions, continuingthe work started in [2]. We also present some new valid inequalities for this polyhedra inspired by the results in [1].