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Stochastic programming solution for placement of satellite ground stations

Author

Listed:
  • Aaron B. Hoskins

    (Mississippi State University)

  • Hugh R. Medal

    (Mississippi State University)

Abstract

Disaster recovery efforts are enhanced through the collection and dissemination of satellite data, which is downloaded from satellites to ground stations. The optimal ground station locations vary depending on the location of the disaster, but ground station construction occurs before the realization of a disaster. Thus, a stochastic optimization problem arises: decide the location of ground stations before disasters with uncertain locations. We use a stochastic programming approach to select the location of ground stations given a set of potential disaster scenarios. The objective is to maximize the expected amount of data downloaded. The problem formulation consists of a two-stage stochastic program where the first-stage determines the locations of the ground stations and the second-stage schedules the uploading and downloading of data. We solve the problem using the L-shaped method; we find that it significantly outperforms solving the deterministic equivalent problem directly. We also find that an alternate second-stage formulation significantly improves solution time. The optimized set of ground stations found by our algorithm is compared to the set of ground stations operated by the National Oceanic and Atmospheric Administration’s; results confirm that the current placement is effective and demonstrate the benefit in adding additional ground stations.

Suggested Citation

  • Aaron B. Hoskins & Hugh R. Medal, 2019. "Stochastic programming solution for placement of satellite ground stations," Annals of Operations Research, Springer, vol. 283(1), pages 267-288, December.
  • Handle: RePEc:spr:annopr:v:283:y:2019:i:1:d:10.1007_s10479-018-2798-y
    DOI: 10.1007/s10479-018-2798-y
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    Cited by:

    1. George S. Atsalakis & Elie Bouri & Fotios Pasiouras, 2021. "Natural disasters and economic growth: a quantile on quantile approach," Annals of Operations Research, Springer, vol. 306(1), pages 83-109, November.

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