Webster Sequences, Apportionment Problems, and Just-In-Time Sequencing

Xiaomin Li

Given a real number $\alpha \in (0,1)$, we define the Webster sequence of density $\alpha$ to be $W_{\alpha }=(\lceil (n-1/2)/\alpha \rceil {)}_{n\in \mathbb{N}}$, where $\lceil x\rceil$ is the ceiling func…