To Minimize Cost Subject to the Expected Number of Failures Remaining Constraint |
Growth inMathematics and engineering technology has led to production of Mathematics forhighly complex situations occurring in industry, scientific research, defenseand day to day life. The computer revolution is fueled by an ever more rapidtechnological advancement. Today, computer hardware and Mathematics permeatesour modern society. Computers are embedded in wristwatches, telephones, homeappliances, buildings, automobiles, and aircraft. Science and technology demandhigh-performance hardware and high-quality Mathematics for making improvementsand breakthroughs. We can look at virtually any industry - automotive,avionics, oil, telecommunications, banking, semi-conductors, pharmaceuticals -all these industries are highly dependent on computers for their basicfunctioning. When the requirements for and dependencies on computers increase,the possibility of cries from computer failures also increase. It is alwaysdesirable to remove a substantial number of faults from the Mathematics. Infact the reliability of the Mathematics is directly proportional to the numberof faults removed. Hence the problem of maximization of Mathematics reliabilityis identical to that of maximization of fault removal. At the same time testingresource are not unlimited, and they need to be judiciously used.