The algebraic arithmetic-geometric mean inequality method (the algebraic AGM method) is used to derive the optimal lot size and the optimal backorders level for the EOQ and EPQ models with backorders and defective items introduced by [6]. The method is easy to derive both the optimal lot size and optimal backorders level without derivatives. AMS Subject Classification: 90B05

Acceptance sampling is used to decide either the whole lot will be accepted or rejected, based on inspection of randomly sampled items from same lot. As an alternative traditional plans, it possible use Bayesian approaches using previous knowledge process variation. This study presents a two-sided group chain plan (BTSGChSP) by various combinations design parameters. In BTSGChSP, preceding as w...

Baloui Jamkhaneh et al. (2008, 2009) have introduced a new acceptance sampling plan. In that plan the fraction of defective items is a fuzzy number. In this paper we introduce the average outgoing quality (AOQ) and average total inspect (ATI) for single sampling plan when that proportion nonconforming items is fuzzy number. We have shown that AOQ and ATI curves of the plan are like band having ...

In a group testing scheme, a set of tests is designed to identify a small number t of defective items among a large set (of size N ) of items. In the non-adaptive scenario the set of tests has to be designed in one-shot. In this setting, designing a testing scheme is equivalent to the construction of a disjunct matrix, an M × N matrix where the union of supports of any t columns does not contai...

In a group testing scheme, a set of tests is designed to identify a small number t of defective items among a large set (of size N ) of items. In the non-adaptive scenario the set of tests has to be designed in one-shot. In this setting, designing a testing scheme is equivalent to the construction of a disjunct matrix, an M × N matrix where the union of supports of any t columns does not contai...

Several EOQ models have developed over time to guarantee that the appropriate quantity of inventory is ordered in every batch, so a firm does not place orders too frequently or an excess on hand. Inventory management, inspection ordering, storing, and utilization company’s inventory, necessitates use models. This paper aims at developing model when supplier offers trade credit policy buyer, for...

Assuming the significance of sustainability, it is considered necessary to ensure conservation our natural resources, in addition minimizing waste. To promote significant sustainable effects, factors including production, transportation, energy usage, product control management, etc., act as chief supports any modern supply chain model. The buyer performs firsthand inspection and returns defect...

This study emphasizes the development of a flexible inventory system considering rework requirements on imperfect and defective items. work has considered items could be sold at lower price in market as compared to perfect The developed model Weibull deterioration inflation balance same amount future due its potential earning capacity. And demand's function depends well level because large pile...