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A Markov Analysis of the Cueing Capability/Detection Rate Trade-space in Search and Rescue

In: Cooperative Systems

Author

Listed:
  • Alice M. Alexander

    (Munitions Directorate)

  • David E. Jeffcoat

    (Munitions Directorate)

Abstract

Summary This chapter presents a search and rescue scenario modeled as a discrete-state, continuous-time Markov process. In this scenario, there are two vehicle types: search-only vehicles capable of searching for persons in distress, but not engaging or rescuing them, and search-and-engage vehicles with the capability both to search and to rescue. All vehicles have two-way communication with other vehicles. Both vehicle types can search independently, but information provided by other vehicles improves their detection capability. We develop a Markov model and use matrix exponentiation to numerically determine the transient state probabilities for the system. We use as a measure of effectiveness the time required for at least two search-and-engage vehicles to arrive on scene with a threshold probability. We then analyze the trade-space between cueing capability and vehicle detection rates.

Suggested Citation

  • Alice M. Alexander & David E. Jeffcoat, 2007. "A Markov Analysis of the Cueing Capability/Detection Rate Trade-space in Search and Rescue," Lecture Notes in Economics and Mathematical Systems, in: Don Grundel & Robert Murphey & Panos Pardalos & Oleg Prokopyev (ed.), Cooperative Systems, pages 185-196, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-48271-0_12
    DOI: 10.1007/978-3-540-48271-0_12
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