EOQ model for imperfect quality items with partial backorders and screening constraint

Wang, Wan-Tsu; Wee, Hui–Ming; Cheng, Yung-Lung; Wen, Chin Lin; Cárdenas–Barrón, Leopoldo Eduardo

doi:10.1504/ejie.2015.074384

Cited by 30 publications

(9 citation statements)

References 52 publications

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“…The objective is to obtain the optimal value of the length period and the percent of period duration in which the inventory level is positive. Some imperfect production models with trade credit have been studied, in recent years, by (among others) Wang et al [53], Alamri et al [54], Palanivel and Uthayakumar [55], Aghili and Hoseinabadi [56], Tsao et al [57,58], Khanna et al [59], Liao et al [60], Kazemi et al [61], Liao et al [62], Mashud et al [63], and Srivastava et al [64].…”

Section: Literature Reviewmentioning

confidence: 99%

Inventory Models for Non-Instantaneous Deteriorating Items with Expiration Dates and Imperfect Quality under Hybrid Payment Policy in the Three-Level Supply Chain

et al. 2021

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This article considers an inventory model for non-instantaneous deteriorating items with expiration dates, such as seasonal items, first-hand vegetables, and fruits. Interestingly, an inspection will be performed to manage the quality of the items during the state of no deterioration because it is difficult to purchase items with 100% perfection. Additionally, we assume that the upstream member has the power of controlling or influencing downstream members’ decisions. That is, the supplier asks the retailer for a partial advance payment to avoid cancellation of orders and offers them a credit payment to stimulate sales; in turn, the customer must pay some cash when placing an order and pay the remainder in credit for the retailer. The goal of this article is to determine an optimal replenishment cycle and the total annual cost function, so we explore the functional properties of the total annual cost function and show that the total annual cost function is convex. Theoretical analysis of the optimal properties shows the existence and uniqueness of the optimal solution. Then, we obtain simple and easy solution procedures for the inventory system. Moreover, numerical analysis of the inventory model is conducted, and the corresponding examples are considered with a view to illustrating the application of the supply chain model that we have investigated in this article. Finally, in the concluding section, we have not only provided the motivation and the need for our usages of mathematical analytic solution procedures based upon the convexity, monotonicity (increasing and decreasing) and differentiability properties of the object function (that is, the total annual cost function), which involve some symmetry aspects of the object function, but we have also indicated the limitations and shortcomings in our investigation, which will naturally lead to some potential directions for further research on the supply chain model, which we have considered and mathematically analyzed in this article.

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Section: Literature Reviewmentioning

confidence: 99%

Inventory Models for Non-Instantaneous Deteriorating Items with Expiration Dates and Imperfect Quality under Hybrid Payment Policy in the Three-Level Supply Chain

et al. 2021

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“…Taleizadeh et al [40] proposed an optimal order quantity model with partial backorders and reparation of imperfect products. Wang et al [41] also proposed an optimal order quantity model, taking into account the screening constraints. Jaggi et al [42], Moussawi-Haidar et al [43], Liao [44], Pal et al [45], Shah et al [46], Sekar and Uthayakumar [47], Benkherouf et al [48], Chen [49], Sha ee-Gol et al [50], Jawla and Singh [51], C ardenas-Barr on et al [52], Nobil et al [53], Chung et al [54], and Nobil et al [55] have recently explored the area of inventory management by employing various rework scenarios.…”

Section: Motivationmentioning

confidence: 99%

Investigating the effect of learning in set-up cost for imperfect production systems by utilizing two-way inspection plan for rework under screening constraints

et al. 2019

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In the industrial world of today, a growing need for the advancement and improvement of the organizations' operations is felt. Learning regarded as an inherent property is time-dependent and comes with experience. In view of this, the present study considers the process of learning for an imperfect production system in order to contribute to reducing the setup cost with the level of maturity gained, hence bringing positive results for organizations. Due to machine disturbances/malfunctions, defectives were manufactured with a known probability density function. To satisfy the demand for good products only, the manufacturer invested in a two-way inspection process with multiple screening constraints. The rst inspection misclassi ed some of the items and delivered inaccuracies called Type-I and Type-II errors. The loss resulting from inspection at the rst stage was e ciently managed through the second inspection, which was presumed to be error-free. The study mutually optimized the production backordering quantities in order to maximize the expected total pro t per unit time. Numerical analysis and detailed sensitivity analysis were carried out to validate the hypothesis and further cater for some valuable implications.

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“…Giri and Chakraborty [7] proposed a model for vendor and buyer supply chain coordination and developed a screening after each replenishment to optimize the cost. Wang et al [8] developed an EOQ model to optimize the function with defective quality stuff, and decision variables depend upon time interval. Li et al [9] considered for random demand and remanufacturing yields to optimize the model.…”

Section: Introductionmentioning

confidence: 99%

Production Inventory Model under Time Dependent Demand, Uneven Manufacturing Rate and Manufacture Time Dependent Selling Price

Buttar¹,

Sharma²

2021

JUSST

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In this paper, an inventory model for production of a single article with an uneven manufacturing rate and manufacturing time subsidiary selling cost has been considered. The considered production inventory model is accepted to create perfect items in beginning however because of different elements, after some time the production begins diminishing exponentially with time, i.e., the variable production rate has been thought of. The demand is time subordinate. Initially up to certain time, production rate remains constant. But after some time, due to various factors, production will decrease. Therefore, the efficiency (E) of such factors must be increased to get more production which can maintain the production efficiency cost which has been applied. Considering this fact inverse efficiency λ has been introduced in production rate. By utilizing differential calculus, expected maximum profit has been resolved. The goal of the examination is to decide the ideal arrangement for a production framework that expands the total benefit subject to certain limitations viable. Results are examined by means of a mathematical example to outline the hypothesis.

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EOQ model for imperfect quality items with partial backorders and screening constraint

Cited by 30 publications

References 52 publications

Inventory Models for Non-Instantaneous Deteriorating Items with Expiration Dates and Imperfect Quality under Hybrid Payment Policy in the Three-Level Supply Chain

Inventory Models for Non-Instantaneous Deteriorating Items with Expiration Dates and Imperfect Quality under Hybrid Payment Policy in the Three-Level Supply Chain

Investigating the effect of learning in set-up cost for imperfect production systems by utilizing two-way inspection plan for rework under screening constraints

Production Inventory Model under Time Dependent Demand, Uneven Manufacturing Rate and Manufacture Time Dependent Selling Price

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