A Study of Group Testing Algorithms.

Date of Submission

December 1995

Date of Award

Winter 12-12-1996

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Master's Dissertation

Degree Name

Master of Technology

Subject Name

Computer Science

Department

Machine Intelligence Unit (MIU-Kolkata)

Supervisor

Roy, Bimal Kumar (ASU-Kolkata; ISI)

Abstract (Summary of the Work)

The GROUP TESTING problem may be described as follows. Consider a set of n items each of which being either defective or good. The objective is to identify all the defective items by a minimal no., of tests. Each test is performed on a subset of the n items and can have two possible outcomes cither poative or negative. A positive outcome indicates that the subset under test is contaminated, i.c., it contains at least one defective item.A negative outcome indicates that the subset under test is pure, i.e., it contains only good items.Group Testing was introduced by Dorfman in 1943. In subsequent years a large no., of papers were published on this subject. There are two basic models in the literature for this problem- a stochastic model and a deterministic model. In the stochastic model it is assumed that cach item is assunced with sone probability., and the objective is to minimize the expected no., of tests required to identify all the defective items. In deterininistic approach it is assumed that the no., of defective items (or an upper bound on this number) is known in advance, and the objective is to minimize the maximum no., of tests required to identify all the defective items. In practical applications, the assumption of the deterministic model that there is an aprori information on the no., of defective itens is not realistic.

Comments

ProQuest Collection ID: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:28843472

Control Number

ISI-DISS-1995-19

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

DOI

http://dspace.isical.ac.in:8080/jspui/handle/10263/6194

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