Mathematical Modeling, Management Science, and Operations Research for Military Decision-Making

William P. Fox and Robert Burks
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William P. Fox: College of William and Mary
Robert Burks: Naval Postgraduate School

Chapter Chapter 1 in Applications of Operations Research and Management Science for Military Decision Making, 2019, pp 1-15 from Springer

Abstract: Abstract Two military observation posts 5.43 miles apart pick up a brief radio signal. The sensing devices were oriented at 110° and 119°, respectively, when a signal was detected. The devices are accurate to within 2° (i.e., ±2° of their respective angle of orientation). According to intelligence, the reading of the signal came from a region of active terrorist exchange, and it is inferred that there is a boat waiting for someone to pick up the terrorists. It is dusk, the weather is calm, and there are no currents. A small helicopter leaves a pad from Post 1 and is able to fly accurately along the 110° angle direction. This helicopter has only one detection device, a searchlight. At 200 ft, the searchlight can just illuminate a circular region with a radius of 25 ft. The helicopter can fly 225 miles in support of this mission due to its fuel capacity. Where do we search for the boat? How many search helicopters should you use to have a “good” chance of finding the target? (Fox and Jaye 2011).

Date: 2019
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DOI: 10.1007/978-3-030-20569-0_1

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