public sector operations – Optimization Online

Congressional Apportionment

Published: 2026/08/17

(Mixed) Integer Nonlinear Programming, Applications - OR and Management Sciences, Integer Programming allocation problems, apportionment, MINLP, public sector operations

This book chapter is a gentle introduction to the mathematics of congressional apportionment. It emphasizes the connections between mathematical optimization and the classical apportionment methods (e.g., Jefferson, Adams, Hamilton, Webster, Huntington-Hill, Dean). CitationPrepared for a forthcoming book edited by Bruce Golden and Doug ShierArticleDownload View PDF

Approximations for Planar Covering Routes: an Analysis and Application to Public School Transportation

Published: 2026/02/09, Updated: 2026/09/17

Applications - OR and Management Sciences, Production and Logistics, Transportation Continuous approximation, covering routes, public sector operations, school bus routing

Public school administrators benefit from the ability to estimate future transportation needs on multi-year time scales, but student locations change from year to year. Continuous approximation (CA) methods are valuable for planning in similar settings where future spatial realizations of transportation demand are unknown. With this motivation in mind, this paper studies the use of … Read more