For better or worse, state legislators are responsible for redistricting their state every ten years when new census data becomes available. Historically, it has often been a hard fought battle between opposing parties. Sometimes district lines are so hotly contested that the Supreme Court is forced to intervene. Whether or not anyone believes there is any wrong doing amongst the legislators, t...

This paper studies a districting problem which arises in the context of financial product pricing. The challenge lies in partitioning a set of small geographical regions into a set of larger territories. In each territory, the customers will share a common price. These territories need to be contiguous, contain enough customers and be as homogeneous as possible in terms of customer value. To ad...

Ronald Reagan and Justice Brennan have both suggested that computers can remove the controversy and politics from redistricting. ' In fact proponents of automated redistricting claim that the "optimal" districting plan can be determined, given any set of specified values. The Supreme Court has expressed a similar sentiment by addressing such mechanical principles as contiguity and compactness i...

In the current economic climate, law enforcement agencies are facing resource shortages. The e ective and e cient use of scarce resources is therefore of the utmost importance to provide a high standard public safety service. Optimization models speci cally tailored to the necessity of police agencies can help to ameliorate their use. The Multi-Criteria Police Districting Problem (MC-PDP) conce...

This chapter uses a simulation model to generate predictions about the effects of gerrymandering institutions on four different measures of voter welfare, with interactions for partisan tides and party polarization. Four representation norms are defined: policy median, compositional, personal, and discursive. The simulation generates three major predictions with respect to these norms: (a) bipa...

Efficient human resource planning is the cornerstone of designing an effective home health care system. Human in system consists decisions on districting/zoning, staff dimensioning, assignment, scheduling, and routing. In this study, a two-stage stochastic mixed integer model proposed that considers these simultaneously. phase system, main uncertain parameters are travel service times. Hence, t...

Abstract Political districting (PD) is a wide studied topic in the literature since 60s. It typically requires multi-criteria approach, and mathematical programs are frequently suggested to model many aspects of this difficult problem. This implies that exact models cannot be solved optimality when size territory too large. In spite this, an formulation can also exploited heuristic framework fi...