A multi-stage stochastic nurse staffing and scheduling model with work-policy bounded flexibility is reduced to a two-stage program and solved with a Generative Flow Network; Tan Tock Seng Hospital experiments show cost savings over deterministic planning and a regularity-flexibility trade-off.
Robust Scheduling with GFlowNets
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abstract
Finding the best way to schedule operations in a computation graph is a classical NP-hard problem which is central to compiler optimization. However, evaluating the goodness of a schedule on the target hardware can be very time-consuming. Traditional approaches as well as previous machine learning ones typically optimize proxy metrics, which are fast to evaluate but can lead to bad schedules when tested on the target hardware. In this work, we propose a new approach to scheduling by sampling proportionally to the proxy metric using a novel GFlowNet method. We introduce a technique to control the trade-off between diversity and goodness of the proposed schedules at inference time and demonstrate empirically that the pure optimization baselines can lead to subpar performance with respect to our approach when tested on a target model. Furthermore, we show that conditioning the GFlowNet on the computation graph enables generalization to unseen scheduling problems for both synthetic and real-world compiler datasets.
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A Nurse Staffing and Scheduling Problem with Bounded Flexibility and Demand Uncertainty
A multi-stage stochastic nurse staffing and scheduling model with work-policy bounded flexibility is reduced to a two-stage program and solved with a Generative Flow Network; Tan Tock Seng Hospital experiments show cost savings over deterministic planning and a regularity-flexibility trade-off.