The optimum common process mean and screening limits for a production process with multiple products

Park, Tae-Ho; Kwon, Hyuck M.; Hong, Sung-Hoon; Lee, Min Koo

doi:10.1016/j.cie.2010.10.013

Cited by 13 publications

(7 citation statements)

References 31 publications

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“…They determined the optimal common process mean; where a product is accepted if its quality characteristic is above a predefined lower limit, otherwise it is scrapped. Park et al [39] extended the work of Lee et al [33] and discussed a model that contains surrogate variables. The model enabled the estimation of the common process mean and the optimum lower limit for the performance variables.…”

Section: Introductionmentioning

confidence: 99%

“…In the following paragraphs, a discussion of some of the most important models in the literature is provided. [39] Selim and Al-Zu'bi (2011) [40] Darwish et al (2013) [41] Duffuaa and El-Ga'aly (2013a) [42] Duffuaa and El-Ga'aly (2013b) [43] Peng and Khasawneh (2014) [44] Chen et al (2015a) [45] Chen et al (2015b) [46] Chen and Kan (2015) [47] Dodd et al (2015) [48] Duffuaa and El-Ga'aly (2015) [49] Raza and Turiac (2016) [50] Raza et al (2016) [51] This paper (General model)…”

Section: Introductionmentioning

confidence: 99%

“…This correlated variable is known as a surrogate variable, and it is known to be relatively easier to measure. Many studies have investigated models with surrogate variables [9,11,15,25,35,39].…”

Section: Introductionmentioning

confidence: 99%

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A Generalized Process Targeting Model and an Application Involving a Production Process with Multiple Products

Abdel-Aal

Selim

2019

Mathematics

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This paper presents a generalized targeting model that subsumes most known targeting problems. In this paper, a recurrent state is defined as a condition that requires reprocessing or rework. The generalized model can accommodate one or two specifications limits and can be used for the following quality characteristics: The nominal-the-better, the larger-the-better, and the smaller-the-better. This model can be used to find the optimal mean of a quality characteristic, as well as the optimal specification limits. In addition, the paper studies the conditions under which the solution to the proposed model can provide a global solution. The paper shows that, for some of the special cases and under very general conditions, the optimal lower limit should be zero and the optimal upper limit should be infinity. This paper proves that the expected profits improve for the case where only a lower limit on the quality characteristic is used, if a recurrent state is included by adding an optimized upper limit. A special case of the model is used to study the problem of determining a common mean for multiple products, as well as the optimal upper specification limits for each product. A solution procedure for maximizing the expected profits and obtaining the optimal solution is introduced. A numerical example is presented.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Generalized Process Targeting Model and an Application Involving a Production Process with Multiple Products

Abdel-Aal

Selim

2019

Mathematics

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“…Shao et al [8] optimized the target for a process with multiple markets with variable holding costs. Park et al [15] addressed the problem of optimum common process mean and screening limits for a production process with multiple products. In an extension of the work of [14] , [16] considered stochastic demand in an inventory model along with process mean selection.…”

Section: Introductionmentioning

confidence: 99%

Joint determination of process mean, price differentiation, and production decisions with demand leakage: A multi-objective approach

Raza

Abdullakutty

Rathinam

2016

Applied Mathematical Modelling

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“…In general, elimination of variability among produced items is almost impossible; however, quality control tools can be used to reduce variation and consequently improve the quality of items (Montgomery, ). One of these tools is the process targeting (process mean selection) that is used in many production processes such as canning/filling, metal plating, grinding, glass industry, fiber industry, and steel industry (Hariga and Al‐Fawzan, ; Park et al., ; Shao et al., ). Usually, producers set specification limits on a quality characteristic (weight, volume, concentration, thickness, length, etc.)…”

Section: Introductionmentioning

confidence: 99%

Economic selection of process mean and lot‐sizing decisions for multi‐newsvendor supply chain

Darwish

Aldaihani

2014

Int Trans Operational Res

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Two related problems are integrated in this paper, the first is the targeting problem and another is production/inventory decisions in a supply chain. The supply chain under consideration consists of a supplier of raw material, a single producer, and multiple newsvendors. The producer can adjust the process mean before starting the production run. Once set to a certain target value, the process mean is not changed until the production lot is completed. At the end of a production run, the producer screens the lot and uses specification limits to evaluate the quality of the item. Nonconforming items are scrapped with no salvage value; however, conforming items are delivered to newsvendors who are subjected to random demand. If demand on a newsvendor in a season is lower than anticipated, surplus items will be returned to the producer at a certain transportation cost. We first develop a mathematical model that maximizes the expected total profit of the supply chain. Then, a table for two special functions is devised to simplify the solution method and is used to find the optimal solution of the proposed model. We also study the significance of this integration by comparing the performance of the proposed model with an independent model where the process mean selection and lot‐sizing decisions are found separately.

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The optimum common process mean and screening limits for a production process with multiple products

Cited by 13 publications

References 31 publications

A Generalized Process Targeting Model and an Application Involving a Production Process with Multiple Products

A Generalized Process Targeting Model and an Application Involving a Production Process with Multiple Products

Joint determination of process mean, price differentiation, and production decisions with demand leakage: A multi-objective approach

Economic selection of process mean and lot‐sizing decisions for multi‐newsvendor supply chain

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