Supplementary data for: "Valid inequalities for two-period relaxations of big-bucket lot-sizing problems"

The online supplement provides some key rigorous and lengthy proofs that were not included in the paper entitled “Valid Inequalities for Two Period Relaxations of Big-Bucket Lot-Sizing Problems: Zero Setup Case”.本在线补充材料提供了未收录于题为《大桶批量规划问题两周期松弛问题的有效不等式：零启动情形》的论文中的若干关键严谨且篇幅较长的证明过程。