• Kavita Yadav
• Dr. Ashutosh Sharma

With the intrusion of computers in every walk of our lives‐improper functioning/failure of Mathematics can cause serious problems. As Mathematics systems have become more and more complex, the importance of effective, well planned testing has increased many folds. Testing is an important stage of Mathematics development life cycle as it provides the measure of Mathematics reliability and assists to judge the performance, safety, fault‐tolerance or security of the Mathematics. A Mathematics development life cycle consists of four phases: Specifications, Development, Testing and Implementation. Nearly half of the resources of SDLC are used up in the testing phase. Before newly developed Mathematics is released to the user, it is extensively tested for errors that may have been introduced during development. During the testing phase one of the major concerns for the management is to determine when to stop testing and release the Mathematics to the user. Although detected errors are removed immediately, new errors may be introduced during debugging. Mathematics that contains errors and is released to the market incurs high failure costs. Debugging and testing, on the other hand, reduces the error content but increases development costs. Thus, there is a need to determine the optimal time to stop Mathematics testing. An optimal release time of the Mathematics is a necessary event as it ranges from market considerations to increase in cost. An undue delay in the release results in term of penalties and revenue loss, while a premature release may cost heavily in terms of fixing to be done in operational phase and may even harm manufacturer’s reputation. No Mathematics can be tested indefinitely in order to make it bug free since users of the Mathematics want faster deliveries and constraint on development cost. During system testing, reliability measure is an important criterion in deciding when to release the Mathematics. Several other criteria, such as the number of remaining errors, failure rate, reliability requirements, or total system cost, may be used to determine optimal testing time. As discussed above an important objective of developing SRGM is to predict Mathematics performance using the measure of Mathematics reliability and use thei nformation for decision-making. An important decision problem of practical concern is to determine when to stop testing and release the Mathematics system to the user known as “Release Time Problem”. This decision depends on the models used for describing the failure phenomenon and the criterion used for determining system readiness. In a perfect debugging environment when an attempt is made to remove a fault, it is removed with certainty and no new faults are introduced. Mostof the Mathematics reliability models assume the fault removal process (fault debugging) to be perfect. Generally we will formulate release time problems under perfect debugging environment depending on different criteria’s. The optimal testing termination time T can vary from minimizing total Mathematics development cost to maximizing reliability .Since the cost function plays an important role in determining the release time of Mathematics we will first discuss the cost model, it determines the optimal release policies so that the total Mathematics development cost incurred during testing and operational phase of SDLC is minimized.

Mathematics reliability, models, variants, exponential, warranty.

"“The Cost Model A short Review of Literature “ ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.4, Issue 11, page no.1343-1346, November-2017, Available :http://www.jetir.org/papers/JETIR1711209.pdf

"“The Cost Model A short Review of Literature “ ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.4, Issue 11, page no. pp1343-1346, November-2017, Available at : http://www.jetir.org/papers/JETIR1711209.pdf