A Cost-Minimization Model for Multicharacteristic Component Inspection

Raouf, A.; Jain, Jagdeep; Sathe, Prakash T.

doi:10.1080/05695558308974633

Cited by 79 publications

(54 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Choosing between these two policies depends on the tradeoff between scrapping costs and outgoing quality; see also Ding and Gong (2008) and Quinino et al (2010) for variations of this problem. Sequencing issues and imperfect testing have both been considered in the inspection of multi-characteristic components; we refer to Raouf et al (1983), Schmidt and Bennett (1972) and Tang and Tang (1994) for examples. The results in the foregoing references, however, do not apply for the case where retesting is not allowed or economically infeasible.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Since the tests are imperfect, however, applying the same test multiple times can be useful for obtaining higher outgoing quality and economic savings. Raouf et al (1983) develop a model where accepted components are repetitively retested, and they determine the optimal number of repeat inspections for multi-characteristic components to minimize the total expected cost per accepted component due to type-I error, type-II error and cost of inspection. Greenberg and Stokes (1995) use the data acquired from retesting rejected items to estimate the probability of testing errors.…”

Section: Literature Reviewmentioning

confidence: 99%

See 1 more Smart Citation

Sequential Testing of k-out-of-n Systems with Imperfect Tests

et al. 2015

View full text Add to dashboard Cite

Abstract. A k-out-of-n system configuration requires that, for the overall system to be functional, at least k out of the total of n components be working. We consider the problem of sequentially testing the components of a k-out-of-n system in order to learn the state of the system, when the tests are costly and when the individual component tests are imperfect, which means that a test can identify a component as working when in reality it is down, and vice versa. Each component is tested at most once. Since tests are imperfect, even when all components are tested the state of the system is not necessarily known with certainty, and so reaching a lower bound on the probability of correctness of the system state is used as a stopping criterion for the inspection.We define different classes of inspection policies and we examine global optimality of each of the classes. We find that a globally optimal policy for diagnosing k-out-of-n systems with imperfect tests can be found in polynomial time when the predictive error probabilities are the same for all the components. Of the three policy classes studied, the dominant policies always contain a global optimum, while elementary policies are compact in representation. The newly introduced class of so-called 'interrupted block-walking' policies combines these merits of global optimality and of compactness.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Sequential Testing of k-out-of-n Systems with Imperfect Tests

et al. 2015

View full text Add to dashboard Cite

show abstract

“…Khan et al (2011a) reviewed the studies that have extended the EOQ model for imperfect items set forth by Salameh and Jaber (2000). Khan et al (2011b) used the models of Salameh and Jaber (2000) and Raouf et al (1983) to determine an inventory policy for imperfect items subject to Type I and Type II inspection errors. The defective items classified by the inspector and those returned from the market are accumulated and sold at a discounted price at the end of the 100% screening process.…”

Section: Introductionmentioning

confidence: 99%

A supplement to an EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales return

Hsu¹,

Hsu²

2014

10.5267/j.ijiec

View full text Add to dashboard Cite

Hsu and Hsu (2013a) established a closed-form solution for an EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns, where the customers who return the defective items will receive full price refunds; i.e., the returned items are not replaced with good items. In this note, we extend Hsu and Hsu's (2013a) work to consider the case that returned items are replaced with good items. A closed-form solution is developed for the optimal order size and the maximum shortage level. Numerical examples are provided to show the differences in the optimal solutions when returned items are replaced, and when they are not.

show abstract

“…Duffuaa and Khan (2002) proposed a general inspection plan for quality assurance of critical multi-characteristic components. They extended the Raouf et al(1983) inspection plan for the case of six types of misclassification errors, where an inspector could classify an item to be good, rework or scrap. Duffuaa and Khan (2005) carried out a sensitivity analysis to investigate the statistical and economic impact of the several types of misclassification errors on the performance measures of the inspection plan.…”

Section: Introductionmentioning

confidence: 99%

“…Raouf et al(1983) studied human errors in inspection. They came up with one of the first inspection plans with misclassifications for multi-characteristic critical components.…”

Section: Introductionmentioning

confidence: 99%

An integrated single-vendor single-buyer production-inventory model for items with imperfect quality and inspection errors

Hsu¹,

Hsu²

2012

IJIEC

View full text Add to dashboard Cite

In this paper, we develop an integrated vendor-buyer production-inventory model for items with imperfect quality and inspection errors. The production process is imperfect and produces a certain number of defective items with a known probability density function. We consider the policy in which the delivery quantity to the buyer is identical at each shipment. Once the buyer receives the lot, a 100% screening process of the lot is conducted, and the screening process and demand proceed simultaneously. The screening process is not perfect. The inspector may incorrectly classify a non-defective item as defective, or incorrectly classify a defective item as non-defective. The expected integrated total annual cost of the vendor and the buyer is derived and a solution procedure is provided to find the optimal solution. Numerical examples show that the integrated model gives an impressive cost reduction in comparison to an independent decision by the buyer.

show abstract

A Cost-Minimization Model for Multicharacteristic Component Inspection

Cited by 79 publications

References 2 publications

Sequential Testing of <i>k</i>-out-of-<i>n</i> Systems with Imperfect Tests

Sequential Testing of <i>k</i>-out-of-<i>n</i> Systems with Imperfect Tests

A supplement to an EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales return

An integrated single-vendor single-buyer production-inventory model for items with imperfect quality and inspection errors

Contact Info

Product

Resources

About