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Searching with uncertainty extended abstract

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SWAT 88 (SWAT 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 318))

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Abstract

In this paper we initiate a new area of study dealing with the best way to search a possibly unbounded region for an object. The model for our search procedures is that we must pay costs proportional to the distance of the next probe position relative to our current position. This model is meant to give a realistic cost measure for a robot moving in the plane. Also, we examine the effect of decreasing the amount of a priori information given to a class of search problems.

Problems in this class are very simple analogues of non-trivial problems on searching with bounded error, searching an unbounded region, processing digitized images, robot navigation, and optimization.

We show that for some simple search problems, the relative information of knowing the general direction of the goal is much higher than knowing the distance to the goal.

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References

  1. Baeza-Yates, R., Culberson, J. C., and Rawlins, G. J. E.; “Searching in Unbounded Domains,” unpublished manuscript, 1988.

    Google Scholar 

  2. Bellman, R.; “A Minimization Problem,” Bulletin of the American Mathematical Society, 62, 270, 1956.

    Google Scholar 

  3. Bentley, J. L., and Yao, A. C.-C.; “An Almost Optimal Algorithm for Unbounded Searching,” Information Processing Letters, 5, 82–87, 1976.

    Google Scholar 

  4. Chang, S.-K.; “A Triangular Scanning Technique for Locating Boundary Curves,” Computer Graphics and Image Processing, 3, 313–317, 1974.

    Google Scholar 

  5. Faber, V. and Mycielski, J.; “The Shortest Curve that Meets all the Lines that Meet a Convex Body,” American Mathematical Monthly, 93, 796–801, 1986.

    Google Scholar 

  6. Gluss, B.; “An Alternative Solution to the the ‘Lost at Sea’ Problem,” in 16th National Meeting of the Operations Research Society of America, Pasadena, 1959.

    Google Scholar 

  7. Isbell, J. R.; “An Optimal Search Pattern,” Naval Research Logistics Quarterly, 4, 357–359, 1957.

    Google Scholar 

  8. Joris, H.; “Le Chasseur Perdu dans la Forêt,” (in French), Element der Mathematik, 35, 1–14, 1980.

    Google Scholar 

  9. Karp, R. M., Saks, M., and Widgerson, A.; “On a Search Problem Related to Branch-and-Bound Procedures,” 27th Annual Symposium on Foundations of Computer Science, 19–28, 1986.

    Google Scholar 

  10. Melzak, Z. A.; Companion to Concrete Mathematics: Mathematical Techniques and Various Applications, John Wiley and Sons, Inc., 1973.

    Google Scholar 

  11. Oglivy, C. S.; Tomorrow's Math: Unsolved Problems for the Amateur, Oxford University Press, 1962.

    Google Scholar 

  12. Rivest, R. L., Meyer, A. R., Kleitman, D. J., and Winklmann, K.; “Coping with Errors in Binary Search Procedures,” Journal of Computer and System Sciences, 20, 396–404, 1980.

    Google Scholar 

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Rolf Karlsson Andrzej Lingas

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© 1988 Springer-Verlag Berlin Heidelberg

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Baeza-Yates, R.A., Culberson, J.C., Rawlins, G.J.E. (1988). Searching with uncertainty extended abstract. In: Karlsson, R., Lingas, A. (eds) SWAT 88. SWAT 1988. Lecture Notes in Computer Science, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19487-8_20

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  • DOI: https://doi.org/10.1007/3-540-19487-8_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19487-3

  • Online ISBN: 978-3-540-39288-0

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