The goal of non-adaptive group testing is to identify at most d defective items from N items, in which a test of a subset of N items is positive if it contains at least one defective item, and negative otherwise. However, in many cases, especially in biological screening, the outcome is unreliable due to biochemical interaction; i.e., noise. Consequently, a positive result can change to a negat...

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. ...

This study aimed at presenting a method for formulating optimal production, repair and replacement policies. The system was based on the production rate of defective parts and machine repairs and then was set up to optimize maintenance activities and related costs. The machine is either repaired or replaced. The machine is changed completely in the replacement process, but the productio...

A study of two warehouse inventory systems with a production unit is developed in this article some constraints which are practical applicability to optimize the total cycle and its cost. evolves three different states retain quality prolong lifetime: state producing items, reworking identified defective being idle. It processes items up certain time point. The screening process starts immediat...

Running the business smoothly for protecting environment is a significant challenge, on which industries are trying something to do at their level best. Reverse logistics play an important role in system design by reducing environmental consequences and increasing economic social impacts. Given recent fluctuations of market, production cost ordering considered triangular fuzzy numbers this stud...

Cost reduction in production systems is one of the main concerns most manufacturing industries. Achieving this goal requires effective use resources. Nowadays, due to competitiveness and need reduce costs deliver goods on time, equipment availability prevention unexpected stops are particularly important industrial units. In recent years, equipment, machinery, human resources have been foundati...

We study the inference problem in noisy group testing to identify defective items from perspective of decision theory. introduce Bayesian and consider optimal setting which true generative process test results is known. demonstrate adequacy posterior marginal probability as a diagnostic variable based on area under curve (AUC). Using probability, we derive general expression cutoff value that y...

Recycling of products has a great impact on contemporary sustainable business strategies. In this study, recycling process in production-inventory model for an imperfect production system with fixed ratio recyclable defective is introduced. The piecewise constant demand rates the non-defective items are considered under run-time, off-time positive stock, and shortages varying conditions. Based ...