Improve results for stochastic facility location with delays and online service with delays

Develop improved algorithmic guarantees for the stochastic versions of the facility location with linear delays problem and the online service with delays problem, beyond currently known results, in particular by analyzing algorithms under stochastic request arrival processes.

Background

While this work establishes constant ratio-of-expectations guarantees for stochastic MLA under Poisson arrivals, the authors point out closely related problems—facility location with delays and online service with delays—for which improved stochastic guarantees are not yet available.

The sentence explicitly flags the lack of improved results in the stochastic setting for these problems, indicating an open direction parallel to the MLA advances presented here.

References

We stress that it is open to obtain improved results for stochastic cases of facility location with delays or online service with delays .

— Online Multi-level Aggregation with Delays and Stochastic Arrivals  (2404.09711 - Mari et al., 2024) in Section 1 (Introduction), Our contribution paragraph

The blind line is a particularly clean test: randomized two-sided search improves the one-request exploration constant, but it is unclear whether the gain survives dynamic batching and the parity certificates.

— Online Service with Per-Batch Maximum Delay  (2608.18577 - Lu et al., 19 Aug 2026) in Section 6, Conclusion and Future Directions