期刊名称:CORE Discussion Papers / Center for Operations Research and Econometrics (UCL), Louvain
出版年度:2007
卷号:1
出版社:Center for Operations Research and Econometrics (UCL), Louvain
摘要:An explicit description of the convex hull of solutions to the uncapacitated lotsizing
problem with backlogging, in its natural space of production, setup,
inventory and backlogging variables, has been an open question for many
years. In this paper, we identify valid inequalities that subsume all previously
known valid inequalities for this problem. We show that these inequalities are
enough to describe the convex hull of solutions. We give polynomial
separation algorithms for some special cases. Finally, we report a summary of
computational experiments with our inequalities that illustrates their
effectiveness.