Fairness over Time in Dynamic Resource Allocation with an Application in Healthcare

Andrea Lodi(andrea.lodipolymtl.ca)
Philippe Olivier(philippe.olivierpolymtl.ca)
Gilles Pesant(gilles.pesantpolymtl.ca)
Sriram Sankaranarayanan(sriramsiima.ac.in)

Abstract: Decision making problems are typically concerned with maximizing efficiency. In contrast, we address problems where there are multiple stakeholders and a centralized decision maker who is obliged to decide in a fair manner. Different decisions give different utility to each stakeholder. In cases where these decisions are made repeatedly, we provide efficient mathematical programming formulations to identify both the maximum fairness possible and the decisions that improve fairness over time, for reasonable metrics of fairness. We apply this framework to the problem of ambulance allocation, where decisions in consecutive rounds are constrained. With this additional complexity, we prove structural results on identifying fair feasible allocation policies and provide a hybrid algorithm with column generation and constraint programming-based solution techniques for this class of problems. Computational experiments show that our method can solve these problems orders of magnitude faster than a naive approach.

Keywords:

Category 1: Applications -- Science and Engineering (Facility Planning and Design )

Category 2: Combinatorial Optimization (Branch and Cut Algorithms )

Category 3: Applications -- OR and Management Sciences (Scheduling )

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Entry Submitted: 01/10/2021
Entry Accepted: 01/11/2021
Entry Last Modified: 01/10/2021

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