Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

A computational study of two-period relaxations for lot-sizing problems with big-bucket capacities

Fragkos, Ioannis and Akartunali, Kerem and Doostmohammadi, Mahdi (2015) A computational study of two-period relaxations for lot-sizing problems with big-bucket capacities. In: International Workshop on Lot-Sizing, 2015-08-24 - 2015-08-26, University of Montreal, HEC.

Full text not available in this repository. Request a copy from the Strathclyde author


The multi-item Capacitated Lot-sizing problem with Setup Times (CLST) is an important problem from both a theoretical and a practical perspective. This talk is part of a research stream that studies two-period relaxations of CLST. We present computational experiments that investigate the strength of valid inequalities that are derived from two-period relaxations. Four families of valid inequalities are considered, all of which are generalisations of cover inequalities, as described in Padberg et al. We present a numerical study in which we compare the strength of these inequalities with the (l, S) inequalities of Barany et al. We find that, for certain instances, some families are very efficient, and are able to improve the lower bound by a great margin.