An economic order quantity model with screening errors, returned cost, and shortages under quantity discounts

Lin, Tien-Yu; Chen, Ming-Te

doi:10.5897/ajbm10.376

Cited by 10 publications

(2 citation statements)

References 21 publications

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“…Afterward, Khan et al [32]proposed an EOQ model where the inspection process is also imperfect (with possible error). Lin and Chen [33]suggested an EOQ model that, in addition to the inspection errors, considers quantitative discounts and backordering shortage. Hsu [34]revisited an error in calculating the holding cost of the Khan et al [32]model and then determined the corrected optimal order lot size.…”

Section: Literature Reviewmentioning

confidence: 99%

Economic Order Quantity for Imperfect Quality Items Under Inspection Errors, Batch Replacement and Multiple Sales of Returned Items

Mokhtari

Asadkhani

2019

Scientia Iranica

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In classical inventory control problems, it is usually assumed that all of the items are of perfect quality, and the inspection process works perfectly well. However, in practice, the order lotsoften contain imperfect items, and the inspection process, is not necessarily error-free. In this article, we extendthe economic order quantity model under imperfect items where the inspection process involves type I and II errors. The type I error can lead to recognition of perfect items as defective, while the type II error can result in the delivery of imperfect items to customers. In the proposed inventory problem, the customers who receive and return imperfect items wait for replacement with perfect items as a batch at the end of a special inspection process. Besides, the imperfect quality items are sold out as discounted items. Our problem considers more than one sales per cycle for returned items from 2 market which causes a reduction for the inventory costs. We present two cases depending on the length of special inspection process. A numerical example is provided to compare two cases, and a sensitivity analysis is discussedto assess the effect of main parameters on the total profit.

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Section: Literature Reviewmentioning

confidence: 99%

Economic Order Quantity for Imperfect Quality Items Under Inspection Errors, Batch Replacement and Multiple Sales of Returned Items

Mokhtari

Asadkhani

2019

Scientia Iranica

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“…A cost-minimizing "EOQ" model was also studied by Lin and Chen [44]. They addressed imperfect and defective quality and shortage backordering under inspection errors taking into account the quantity discounts.…”

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Optimization of inventory system with defects, rework failure and two types of errors under crisp and fuzzy approach

Taheri

Mirzazadeh

2022

JIMO

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<p style='text-indent:20px;'>In this paper, a new approach was applied to a single-item single-source (<inline-formula><tex-math id="M1">\begin{document}$ SISS $\end{document}</tex-math></inline-formula>) system at the "<inline-formula><tex-math id="M2">\begin{document}$ EOQ-type $\end{document}</tex-math></inline-formula>" mode considering imperfect items and uncertainty environment. The mentioned method was intended to produce an optimum order/production quantity as well as taking care of imperfect processes. The imperfect proportion of the received lot size was described by an imperfect inspection process. That is, two-way inspection errors may be committed by the inspector as separate items. Thus, this survey was aimed to maximize the benefit in the traditional inventory systems. The incorporation of both defects and defective classifications (Type-<inline-formula><tex-math id="M3">\begin{document}$ I\&II $\end{document}</tex-math></inline-formula> errors) was illustrated, in a way that the defects were returned by the consumers. Moreover, this inventory model had an extra step in the scope of inspection; which occurred after the rework process with no inspection error. To get closer to the practical circumstances and to consider the uncertainty, the model was formulated in the fuzzy environment. The demand, rework, and inspection rates of the inventory system were considered as the triangular fuzzy numbers where the output factors of the inventory system were obtained via nonlinear parametric programming and Zadeh's extension principle. Finally, this scenario was illustrated through a mathematical model. The concavity of the objective function was also calculated and the total profit function was presented to clarify the solution procedure by numerical examples.</p>

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Knowledge Measure-Based q-Rung Orthopair Fuzzy Inventory Model

Sugapriya

Rajeswari

Nagarajan³

et al. 2022

Q-Rung Orthopair Fuzzy Sets

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An economic order quantity model with screening errors, returned cost, and shortages under quantity discounts

Cited by 10 publications

References 21 publications

Economic Order Quantity for Imperfect Quality Items Under Inspection Errors, Batch Replacement and Multiple Sales of Returned Items

Economic Order Quantity for Imperfect Quality Items Under Inspection Errors, Batch Replacement and Multiple Sales of Returned Items

Optimization of inventory system with defects, rework failure and two types of errors under crisp and fuzzy approach

Knowledge Measure-Based q-Rung Orthopair Fuzzy Inventory Model

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