Optimal production lot sizing with rework, scrap rate, and service level constraint

Chiu, Singa Wang; Ting, Chia-Kuan; Chiu, Yuan‐Shyi Peter

doi:10.1016/j.mcm.2006.11.031

Cited by 70 publications

(29 citation statements)

References 16 publications

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“…However, given adequate statistical data, it is possible to reliably estimate and ascertain that the defective items on average constitute a stable and relatively fixed percentage of the total number of items produced. Inderfurth, Lindner and Rahaniotis [14], Teunter and Flapper [22], Inderfurth et al [15,16], Chiu, Ting and Chiu [4], and Buscher and Lindner [2] made this assumption in their studies. The percentage of the defective items is known as the fraction defective in the quality control literature, see Gitlow et al [11].…”

Section: Corollarymentioning

confidence: 95%

“…A survey of such problems for discrete and continuous single stage systems, assembly lines and systems with rework can be found, for example, in Yano and Lee [23]. Also, lot-sizing models for imperfect production systems were studied by Rosenblatt and Lee [20], Groenevelt, Pintelon and Seidmann [12], Flapper et al [8], Chiu, Ting and Chiu [4], Buscher and Lindner [2], Gerchak et al [10]. In the majority of the studies, lot-sizing problems are stochastic and continuous.…”

Section: Literature Review and Our Contributionmentioning

confidence: 99%

“…Motivation for a special case of functions f i , called "fraction defective" case in quality control literature, is provided in Sect. 4.…”

Section: Introductionmentioning

confidence: 99%

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Multi-product lot-sizing and sequencing on a single imperfect machine

2010

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International audienceA problem of lot-sizing and sequencing several products on a single machine is studied. The machine is imperfect in two senses: it can produce defective items and it can breakdown. The number of defective items for each product is given as an integer valued non-decreasing function of the manufactured quantity. The total machine breakdown time is given as a real valued non-decreasing function of the manufactured quantities of all the products. A sequence-dependent setup time is required to switch the machine from manufacturing one product to another. Two problem settings are considered. In the first, the objective is to minimize the completion time of the last item, provided that all the product demands for the good quality items are satisfied. In the second, the goal is to minimize the total cost of demand dissatisfaction, subject to an assumption that the completion time of the last item does not exceed a given upper bound. Computational complexity and algorithmic results are presented, including an FPTAS for a special case of the cost minimization problem, and computer experiments with the FPTAS

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Section: Corollarymentioning

confidence: 95%

Section: Literature Review and Our Contributionmentioning

confidence: 99%

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Multi-product lot-sizing and sequencing on a single imperfect machine

2010

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“…The objective is to find batch sizes and positions of items to be reworked such that a given number of good-quality items are produced and total setup, rework, inventory holding, shortage and disposal cost are minimized. Chiu et al [4] presented a model to determine the optimal lot-size for a production system with rework, a random scrap rate, and a service level constraint. To prevent loss of future sales because of customer dissatisfaction, they considered a minimal service level per production cycle.…”

Section: Introductionmentioning

confidence: 99%

On the n-job, m-machine permutation flow shop scheduling problems with makespan criterion and rework

Bootaki

Paydar

2017

Scientia Iranica

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This paper addresses an n-job, m-machine permutation flow shop scheduling problem (PFSSP) with unlimited intermediate buffers and rework activities. The concept of rework means that processing of a job on a machine may not meet a predefined quality level through its first process. Thus we have a probabilistic cycle of operations for jobs on different machines which is based on two concepts: (1) a failure probability of a job on a machine and, (2) a descent rate that reduces the processing times for rework phase. In this case, the processing times of jobs on machines become random variables with a known probability distribution. The aim of this paper is to examine possible solution approaches for generating the efficient job sequences with the least potential makespan. A wide range of simulationbased approaches are applied to address the proposed problem. These methods contain mathematical formulation, heuristic algorithms, and metaheuristics. The mechanism of the solution approaches is based on firstly using expected processing times to find a job sequence; then evaluating the obtained job sequences by several simulated trials. Using the one-way ANOVA test, these methods have been compared together, and the results show the superiority of metaheuristics, especially simulated annealing, over the other methods.

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“…Widyadana and Wee [8] gave an analysis of these problems using an algebraic approach. Chiu [9] and Chiu et al [10] discussed EPQ model by allowing shortages and considering service level constraint. Yoo et al [11] discussed an EPQ model with imperfect production quality, imperfect inspection, and rework.…”

Section: Introductionmentioning

confidence: 99%

EPQ Model for Trended Demand with Rework and Random Preventive Machine Time

Shah

Patel²,

Shah

2013

ISRN Operations Research

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Economic production quantity (EPQ) inventory model for trended demand has been analyzed with rework facility and stochastic preventive machine time. Due to the complexity of the model, search method is proposed to determine the best optimal solution. A numerical example and sensitivity analysis are carried out to validate the proposed model. From the sensitivity analysis, it is observed that the rate of change of demand has significant impact on the optimal inventory cost. The model is very sensitive to the production and demand rate.

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Optimal production lot sizing with rework, scrap rate, and service level constraint

Cited by 70 publications

References 16 publications

Multi-product lot-sizing and sequencing on a single imperfect machine

Multi-product lot-sizing and sequencing on a single imperfect machine

On the n-job, m-machine permutation flow shop scheduling problems with makespan criterion and rework

EPQ Model for Trended Demand with Rework and Random Preventive Machine Time

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