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In this article, we study a biobjective economic lot-sizing problem with applications, among others, in green logistics. The first objective aims to minimize the total lot-sizing costs including production and inventory holding costs, whereas the second one minimizes the maximum production and inventory block expenditure. We derive (almost) tight complexity results for the Pareto efficient outcome problem under nonspeculative lot-sizing costs. First, we identify nontrivial problem classes for which this problem is polynomially solvable. Second, if we relax any of the parameter assumptions, we show that (except for one case) finding a single Pareto efficient outcome is an inline image-hard task in general. Finally, we shed some light on the task of describing the Pareto frontier.

Publication information

Original languageEnglish
JournalNaval Research Logistics
Volume61
Issue number5
Pages (from-to)386–402
ISSN0894-069X
DOIs
StatePublished - 2014
Externally publishedYes

ID: 40946831