In manufacturing systems, defective items are produced for machine drift and error. Usually, an imperfect production rate is random, if the not reworked, these considered trash harm environment. The proposed model aims to reduce waste by reworking products maximizing profit. For profit maximization or overall cost minimization of system, setup has significant. A discrete investment each phase i...

The paper develops an order quantity model with trade credit plus shortages under learning effects for deteriorating imperfect quality products. Generally, when the lot has items, inspection of a is necessary to improve lot. In this article, seller provides defective his buyer financing scheme, and after that separates whole screening process into two categories, one other non-defective items. ...

Group testing is a search paradigm where one is given a population S of n elements and an P is a subset of S defective elements and the goal is to determine P by performing tests on subsets of S. In classical group testing a test on a subset Q is a subset of S receives a YES response if [formula: see text] ≥ 1, and a NO response otherwise. In group testing with inhibitors (GTI), identifying the...

A real economic growth only comes from increasing quality and quantity of the factors of production. Most production systems produce items which are of imperfect quality. In a production/inventory situation items which are received or produced are not of perfect quality. Thus the presence of defects which is inevitable in a produced/ordered lot is sorted out by the process of screening. Handlin...

We formulate and analyze a stochastic threshold group testing problem motivated by biological applications. Here a set of n items contains a subset of d n defective items. Subsets (pools) of the n items are tested – the test outcomes are negative, positive, or stochastic (negative or positive with certain probabilities that might depend on the number of defectives being tested in the pool), dep...

In this paper, we consider the problem of multilevel group testing, where the goal is to recover a set of K defective items in a set of n items by pooling groups of items and observing the result of each test. The main difference of multilevel group testing with the classical non-adaptive group testing problem is that the result of each test is an integer in the set [L] = {0, 1, · · · , L}: if ...

Market demand of the  perishable bakery  products are volatile. Hence, demand of such items are random variable. The most appealing demand distribution of such items is lognormal demand distribution. Using historical data, the parameters of lognormal distribution are obtained. But, there is a problem of overestimation or underestimation of the parameters. Fuzzy triangular numbers are used to ov...

We develop an optimization model based on Markovian approach to determine the optimum value of thresholds in a proposed acceptance sampling design. Consider an acceptance sampling plan where items are inspected and when the number of conforming items between successive defective items falls below a lower control threshold value, then the batch is rejected, and if it falls above a control thresh...