Combinatorial Benders Decomposition

Political districting to maximize whole counties

  • Maral Shahmizad
  • Austin Buchanan
    • Categories Applications - OR and Management Sciences, Combinatorial Optimization, Integer Programming Tags , , ,

    We consider a fundamental question in political districting: How many counties can be kept whole (i.e., not split across multiple districts), while satisfying basic criteria like contiguity and population balance? To answer this question, we propose integer programming techniques based on combinatorial Benders decomposition. The main problem decides which counties to keep whole, and the … Read more

    Stochastic programming for an integrated assignment, routing, and scheduling problem

  • Syu-Ning Johnn
  • AndrĂ©s Miniguano-Trujillo
  • Yiran Zhu
  • Akshay Gupte
  • Joerg Kalcsics
    • Categories Applications - OR and Management Sciences, Combinatorial Optimization, Stochastic Programming Tags , , ,

    We study a two-stage stochastic combinatorial optimization problem that integrates fleet-sizing, assignment, routing, and scheduling problems. Although this problem has wide applicability, it arises in particular in the home healthcare industry where a service team of caregivers have to be assigned to patients and put in vehicle fleet that have to be routed amongst the … Read more