This note provides a methodological contribution to the allocation of joint revenues obtained from passepartouts. In a passepartout system a group of service providers offers a passepartout that allows its owners the use of specified services for an unlimited number of times during a fixed...

In a recent paper Gutiérrez et al. (2008) show that the lot-sizing problem with inventory bounds can be solved in O(T log T) time. In this note we show that their algorithm does not lead to an optimal solution in general.