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An efficient algorithm for solving a stochastic, integer programming problem arising in radio navigation

  • Integer Programming, Networks
  • Conference paper
  • First Online:
Book cover Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 7))

  • 156 Accesses

Abstract

In this paper the lane resolution problem of radio navigation has been formulated as a stochastic, integer programming problem and an algorithm has been presented which efficiently solves the programming problem. The advantages of this algorithm are:

  1. 1)

    it is easily implemented

  2. 2)

    it works in real time

  3. 3)

    under certain assumptions it eliminates much of the error due to noise.

Presently the algorithm is part of the software package of the Hoffman Electronics HON 360 Omega System.

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References

  1. SWANSON, E. R. "Omega" Navigation, Vol. 18 No. 2, pp. 168–175, 1971.

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  2. NAGELL, T. Number Theory. New York: Chelsea Publishing Co., 1964.

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  3. SAATy, T. L. Optimization in Integers and Related Extremal Problems. New York: McGraw-Hill, 1970.

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Author information

Author notes

  1. Thomas M. Simundich

    Present address: the System Science Department, University of California at, 90024, Los Angeles, California

Authors and Affiliations

  1. Hoffman Electronics Corp., El Monte, California

    Thomas M. Simundich

Authors
  1. Thomas M. Simundich
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Editor information

J. Stoer

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© 1978 Springer-Verlag

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Cite this paper

Simundich, T.M. (1978). An efficient algorithm for solving a stochastic, integer programming problem arising in radio navigation. In: Stoer, J. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006531

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  • DOI: https://doi.org/10.1007/BFb0006531

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08708-3

  • Online ISBN: 978-3-540-35890-9

  • eBook Packages: Springer Book Archive

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