Districting problems are of high importance in many different fields. Multiple criteria models seem a more adequate representation of districting problems in real-world situations. Real-life decision situations are by their very nature multidimensional. This paper deals with the problem of partitioning a territory into “homogeneous” zones. Each zone is composed of a set of elementary territoria...

In this study we present straightforward optimization methods to address two problems associated with designing large scale ambulance operations on highways; the question of location and the issue of districting. Previous approaches tackled small scale problem instances using exact hypercube queuing models integrated into optimization procedures mainly due to excessive computer storage and runt...

We look ae the problem of devising an optimal gerrymander from the standpoint of the political party in control of the redistricting process in a singlemember district system involving two-party competition. In an electoral universe with uncertainty, we show that the optimal partisan gerrymander is different from the classic recipe for partisan gerrymandering if parties are concerned with the l...

There is no such thing as a fair or non-partisan districting plan. Whether intentionally or blindly, such plans involve political choices and have critical effects on the political parties. The various "proposed public interest criteria for redistricting...are not neutral, they are not grounded in broader principles that command general assent, and in many cases they are incoherent and cannot b...

To reduce the unfairness incurred by partisan districting, citizen reformers usually advocate applying the conventional criteria of compactness and respect for political boundaries of subdivisions. Simple examples are constructed to address whether optimizing these criteria also minimizes partisan bias, measured as the difference between the seats-votes curves for the two parties. One set of ex...