districting

The Fulfillment Regionalization Problem

  • Nidhima Grover
  • Xiaoyan Si
  • Alejandro Toriello
    • Categories (Mixed) Integer Nonlinear Programming, Supply Chain Management, Transportation Tags , , , ,

    In many retail industries, the retailer can choose the inventory location or fulfillment center (FC) that fulfills an order, yielding opportunities for inventory pooling and product selection expansion. However, fulfillment decisions are complex and must consider cost and speed, among various factors. With the unprecedented growth of the retail industry, companies must look for strategies … Read more

    Political districting to optimize the Polsby-Popper compactness score with application to voting rights

  • Pietro Belotti
  • Austin Buchanan
  • Soraya Ezazipour
    • Categories (Mixed) Integer Nonlinear Programming, Applications - OR and Management Sciences, Integer Programming Tags , ,

    In the academic literature and in expert testimony, the Polsby-Popper score is the most popular way to measure the compactness of a political district. Given a district with area \(A\) and perimeter \(P\), its Polsby-Popper score is given by \( (4 \pi A)/P^2\). This score takes values between zero and one, with circular districts achieving … Read more