To Minimize Cost Subject to the Expected Number of Failures Remaining Constraint |

ABSTRACT:

Growthin Mathematics and engineering technology has led to production of Mathematicsfor highly complex situations occurring in industry, scientific research,defense and day to day life. The computer revolution is fueled by an ever morerapid technological advancement. Today, computer hardware and Mathematicspermeates our modern society. Computers are embedded in wristwatches,telephones, home appliances, buildings, automobiles, and aircraft. Science and technologydemand high-performance hardware and high-quality Mathematics for makingimprovements and breakthroughs. We can look at virtually any industry -automotive, avionics, oil, telecommunications, banking, semi-conductors,pharmaceuticals - all these industries are highly dependent on computers fortheir basic functioning. When the requirements for and dependencies oncomputers increase, the possibility of cries from computer failures alsoincrease. It is always desirable to remove a substantial number of faults fromthe Mathematics. In fact the reliability of the Mathematics is directlyproportional to the number of faults removed. Hence the problem of maximizationof Mathematics reliability is identical to that of maximization of faultremoval. At the same time testing resource are not unlimited, and they need tobe judiciously used.