The main purpose of this paper is to determine the value of economic order quantity (EOQ) with two types of imperfect items, defective and reworked ones, under 100% inspection. Where defective items are treated as scraps and reworked ones will be sent back to supplier to get repaired. A mathematical model is built on the jo in t d ist ribut ion o f defective and reworked un its which fo llow a ...

We consider the problem of non-adaptive group testing of N items out of which K or less items are known to be defective. We propose a testing scheme based on left-andright-regular sparse-graph codes and a simple iterative decoder. We show that for any arbitrarily small ǫ > 0 our scheme requires only m = cǫK log c1N K tests to recover (1− ǫ) fraction of the defective items with high probability ...

The traditional inventory of the economic order quantity model assumes perfect items in an ordered lot and an infinite replenishment rate. However, such conditions are rare in actual production environments. Additionally, most studies of this problem have only considered suppliers offering the wholesaler a grace period. In practice, wholesalers often extend a fixed credit period to downstream c...

In this paper we consider a system consisting of a supplier with a single processing unit, a repair center, and a retailer with Poisson demand. We assume that the retailer applies one-for-one ordering policy with backorders for his inventory control. The retailer’s orders form a queue in the supplier processing unit. We also assume that a certain fraction of the products produced by the supplie...

EPQ model; Replenishment lot size; Multiple deliveries; Random defective items; Production; Rework; Scrap items. Abstract This paper derives the optimal replenishment lot size and shipment policy for an Economic Production Quantity (EPQ) model with multiple deliveries and rework of random defective items. The classic EPQmodel assumes a continuous inventory issuing policy for satisfying demand a...

At the manufacturing plant or while products are being transferred from one supply layer to another, there is a considerable possibility of receiving damaged faulty items mixed in with non-defective commodities. This research focuses on and defective that shipped retailers by their suppliers. The retailer reworks make them non-defective, receives discount cost purchasing items. presented invent...

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...

This paper focuses on an inventory model considering imperfect manufacturing and re-manufacturing system under single management. In manufacturing system, the items are produced from original raw materials but in re-manufacturing process, returned and defective items produced in previous manufacturing process are the raw materials. Both the production system shift from ‘ in control state ‘ to ‘...

Abstract In this paper we consider a system consisting of a retailer, a supplier with a single processing unit, and a repair center. We assume that the retailer faces a Poisson demand, his ordering cost is zero or negligible, and for his inventory control he applies one-for-one ordering policy, that is, as soon as a demand arrives he orders one unit to the supplier. We also assume that when a d...

Many fault-detection problems fall into the following model: There is a set of n items, some of which are defective. The goal is to identify the defective items by using the minimum number of tests. Each test is on a subset of items and tells whether the subset contains a defective item or not. Let Ma(d, n)(M(d In)) denote the maximum number of tests for an algorithm ot to identify d defectives...