The RoundRep14a.lng Model

The Rounding problem.

View the model

Download the model

Given a set of numbers with fractional parts, we want to round
them to a set of nearby integers so that the integers sum to
a specified target. This problem might arise in preparing
a report where numbers are rounded to fewer digits, or
in choosing a number of representatives for each state
in a House of Representatives, based on population;

! Ref:
Balinski, M. and H. Young (2001), Fair Representation, Meeting
the Ideal of One Man, One Vote, 2nd ed., Brookings Institution Press.

Keywords:

Utility Function | Multi-criteria | Rounding | Alabama Paradox | Proportional Representation | Hamilton's Method | Webster's method | Jefferson's method | Hill's method |