Improved Algorithms for Chemical Threshold Testing Problems

  • Annalisa De Bonis
  • Luisa Gargano
  • Ugo Vaccaro
Conference paper

DOI: 10.1007/3-540-68535-9_16

Part of the Lecture Notes in Computer Science book series (LNCS, volume 1449)
Cite this paper as:
De Bonis A., Gargano L., Vaccaro U. (1998) Improved Algorithms for Chemical Threshold Testing Problems. In: Hsu WL., Kao MY. (eds) Computing and Combinatorics. COCOON 1998. Lecture Notes in Computer Science, vol 1449. Springer, Berlin, Heidelberg

Abstract

We consider a generalization of the classical group testing problem. Let us be given a sample contaminated with a chemical substance. We want to estimate the unknown concentration c of this substance in the sample. There is a threshold indicator which can detect whether the concentration is at least a known threshold. We consider either the case when the threshold indicator does not affect the tested units and the more difficult case when the threshold indicator destroys the tested units. For both cases, we present a family of efficient algorithms each of which achieves a good approximation of c using a small number of tests and of auxiliary resources. Each member of the family provides a different tradeoff between the number of tests and the use of other resources involved by the algorithm. Previously known algorithms for this problem use more tests than most of our algorithms do. For the case when the indicator destroys the tested units, we also describe a family of efficient algorithms which estimates c using only a constant number of tubes.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Annalisa De Bonis
    • 1
  • Luisa Gargano
    • 1
  • Ugo Vaccaro
    • 1
  1. 1.Dipartimento di Informatica e ApplicazioniUniversità di SalernoBaronissi (SA)Italy

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