Production lot sizing with the reworking of imperfect quality items produced

Hayek, Pascale Abdo; Salameh, Moueen K.

doi:10.1080/095372801750397707

Cited by 250 publications

(146 citation statements)

References 8 publications

(8 reference statements)

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“…Hence, we must have P-d-λ≧ 0. The following derivations are similar to that were given by [8,15]. The expressions of production uptime t 1 ; the time t 2 needed to rework defective items; production downtime t 3 ; on-hand inventory level H 1 and H, and cycle length T are as follows (see Figure 1).…”

Section: The Basic Modelmentioning

confidence: 85%

“…Conventional methods for solving lot size problems are by using differential calculus on the long-run average production-inventory cost function with the need to prove optimality first (see for example [8] and Appendix [15]). This paper demonstrates that the optimal lot size and the optimal production-inventory cost (i.e.…”

Section: Discussionmentioning

confidence: 99%

“…For examples, the printed circuit board assembly (PCBA) in PCBA manufacturing, plastic goods in the plastic injection molding process, and production process in other industries, such as metal components, textiles, etc., sometimes employ rework as an acceptable process in terms of level of quality. Many studies were carried out to address imperfect quality issue of production systems [5][6][7][8][9][10][11][12][13][14]. Effect of random defective rate and the reworking of defective items on EPQ model were studied by Chiu and Chiu [15] using conventional methodology.…”

Section: Introductionmentioning

confidence: 99%

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An Algebraic Approach for Determining the Optimal Lot Size for EPQ Model with Rework Process

Chiu

Ченг

et al. 2010

MCA

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Abstract-This paper presents a simple algebraic approach for deriving the optimal lot size for economic production quantity (EPQ) model with rework process. Conventional methods for solving lot size problems are by using differential calculus on the long-run average production-inventory cost function with the need to prove optimality first. A few recent articles proposed the algebraic approach to the solution of classic economic order quantity (EOQ) and EPQ model without reference to the use of derivatives. This paper extends it to an EPQ model with reworking of defective items. We demonstrate that optimal lot size and optimal production-inventory cost for such an imperfect EPQ model can be derived without derivatives. As a result, it may enable the practitioners or students who with little knowledge of calculus to understand or handle with ease the realistic production systems.

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Section: The Basic Modelmentioning

confidence: 85%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Algebraic Approach for Determining the Optimal Lot Size for EPQ Model with Rework Process

Chiu

Ченг

et al. 2010

MCA

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“…Sarkar et al (2014) flourished an economic production quantity model for defective products with backorders and rework process in a single-stage production system. Hayek and Salameh (2001) assumed that all defective items produced are repairable and achieved an optimal operating policy for the EMQ model under the effect of reworking all defective items. Mishra and Singh (2011) developed a production-inventory model for time dependent deteriorating item with production distribution and gives analytical solution to determine the optimal production time during normal and disrupted production periods.…”

Section: Literature Reviewmentioning

confidence: 99%

An economic production model for deteriorating items and time dependent demand with rework and multiple production setups

Uthayakumar

Tharani

2017

J Ind Eng Int

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Recently, much emphasis has given to study the control and maintenance of production inventories of the deteriorating items. Rework is one of the main issues in reverse logistic and green supply chain, since it can reduce production cost and the environmental problem. Many researchers have focused on developing rework model, but few of them have developed model for deteriorating items. Due to this fact, we take up productivity and rework with deterioration as the major concern in this paper. In this paper, a production-inventory model with deteriorative items in which one cycle has n production setups and one rework setup (n, 1) policy is considered for deteriorating items with stock-dependent demand in case 1 and exponential demand in case 2. An effective iterative solution procedure is developed to achieve optimal time, so that the total cost of the system is minimized. Numerical and sensitivity analyses are discussed to examine the outcome of the proposed solution procedure presented in this research.

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“…[4] extended their research from a single-stage to a multi-stage production system with rework. The other researches related to rework were addressed by [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16] and [17].…”

Section: Introductionmentioning

confidence: 99%

The optimal manufacturing batch size with rework under time-varying demand process for a finite time horizon

Musa¹,

Supadi²,

Omar³

2014

AIP Conference Proceedings

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Abstract. Rework is one of the solutions to some of the main issues in reverse logistic and green supply chain as it reduces production cost and environmental problem. Many researchers focus on developing rework model, but to the knowledge of the author, none of them has developed a model for time-varying demand rate. In this paper, we extend previous works and develop multiple batch production system for time-varying demand rate with rework. In this model, the rework is done within the same production cycle.

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Production lot sizing with the reworking of imperfect quality items produced

Cited by 250 publications

References 8 publications

An Algebraic Approach for Determining the Optimal Lot Size for EPQ Model with Rework Process

An Algebraic Approach for Determining the Optimal Lot Size for EPQ Model with Rework Process

An economic production model for deteriorating items and time dependent demand with rework and multiple production setups

The optimal manufacturing batch size with rework under time-varying demand process for a finite time horizon

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