We propose a novel group testing method, termed semi-quantitative group testing, motivated by a class of problems arising in genome screening experiments. Semi-quantitative group testing (SQGT) is a (possibly) non-binary pooling scheme that may be viewed as a concatenation of an adder channel and an integer-valued quantizer. In its full generality, SQGT can be viewed as a unifying framework for...

A (d, `)-list disjunct matrix is a non-adaptive group testing primitive which, given a set of items with at most d “defectives,” outputs a superset of the defectives containing less than ` non-defective items. The primitive has found many applications as stand alone objects and as building blocks in the construction of other combinatorial objects. This paper studies error-tolerant list disjunct...

Inventory management is the core of supply chain system, in which economic order quantity (EOQ) model a fundamental inventory model. This paper develops fuzzy EOQ presence inspection errors single sampling plans. The assumes probability mis-classifications. An system hypothesized where orders undergo acceptance sampling, back-orders are eliminated, and defectives set aside from inventory. Due t...

We study the problem of estimating the number of defective items in adaptive Group testing by using a minimum number of queries. We improve the existing algorithm and prove a lower bound that show that, for constant estimation, the number of tests in our algorithm is optimal.

The incidence of mongolism has been expressed in various ways. It was estimated among inmates of mental deficiency institutions by Shuttleworth (1909) and several of his contemporaries. Other workers, such as Bleyer (1932), calculated its incidence in patients attending paediatric clinics. Attempts have also been made to relate thenumber of living mongbls to the total population (Doxiades and P...

out the Goddard scores, the error arising from their re-evaluation according to Terman was eliminated. Since the results of tests by several different examiners were used, due to rather frequent changes in personnel, the ever-present question of the personal equation is opened. It is impossible to say how much effect differences in leniency of testing may have had on the results, but it is to b...

Group Testing (GT) addresses the problem of identifying a small subset of defective items from a large population, by grouping items into as few test pools as possible. In Adaptive GT (AGT), outcomes of previous tests can influence the makeup of future tests. This scenario has been studied from an information theoretic point of view. Aldridge 2012 showed that in the regime of a few defectives, ...

In this paper, we presented an optimal iterative decision rule for minimizing total cost in designing a sampling plan for machine replacement problem using the approach of dynamic programming and Bayesian inferences. Cost of replacing the machine and cost of defectives produced by machine has been considered in model. Concept of control threshold policy has been applied for decision making. If ...

A prominent scientist, humanitarian, and spiritual author, Alexis Carrel received the highest accolades from his scientific peers and his native France. But he was also a leading eugenicist. In his prolific interwar writings he advocated the state’s use of sterilization and euthanasia on eugenic grounds. In his work for the Vichy regime he directed programs aimed at the elimination of those con...