Optimum process mean, standard deviation and specification limits settings under the Burr distribution

Chen, Chung-Ho; Chou, Chao‐Yu

doi:10.1108/ec-10-2015-0321

Cited by 5 publications

(3 citation statements)

References 30 publications

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“…Its practical use was part of the research of [62,63]. The SD method allocates weights based on the variability of individual indicators, i.e., the relative moment characteristics, which is also often used in academia [64][65][66][67]. An indicator with the highest rate of absolute variability is evaluated as the most important, and its application is offered by the research of [68].…”

Section: Topsis From the View Of Indicator Importancementioning

confidence: 99%

Efficiency Evaluation of Cultural Services in the Czech Republic via Multi-Criteria Decision Analysis

Vavrek

Bečica

2020

Sustainability

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Culture is an irreplaceable means of transferring information between generations. The development of culture, the cultural environment, and the effect of culture exist over the long term. The results are not shown immediately, whereas the economics of subjects of this area (including theatres) are subject to public control. Public control forces these entities to use public finances efficiently, economically, and effectively. A sample of 11 indicators showing techniques and financial efficiency was chosen to conduct a complex evaluation of the economy of Czech theatres. The importance of the indicators was set by three objective methods used in combination by the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) for the evaluation of management. We show significant differences among the results; in our opinion, it is not possible to exactly set the best method that could be applied in general. Every method can potentially serve as a tool for complex comparison among homogeneous groups of theatres of the Czech Republic, depending on the preferences of their founder, in the public sector such as a municipality, region, or state.

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Section: Topsis From the View Of Indicator Importancementioning

confidence: 99%

Efficiency Evaluation of Cultural Services in the Czech Republic via Multi-Criteria Decision Analysis

Vavrek

Bečica

2020

Sustainability

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“…Zhao et al (2016) carried out optimal tolerance design of product based on service quality loss. Chen and Chou (2017) adopt the Burr distribution to determine the optimum process mean, standard deviation and specification limits under non-normality. Han and Tan (2017) optimized robust and tolerance design for computer experiments with mixture proportion inputs.…”

Section: Literature Reviewmentioning

confidence: 99%

Optimal parameters and tolerances in concurrent product and process design using simulation and fuzzy goal programming

Al–Refaie

Haddadin

Qabaja

2019

IJQRM

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Purpose The purpose of this paper is to propose an approach to determine the optimal parameters and tolerances in concurrent product and process design in the early design stages utilizing fuzzy goal programming. A wheelchair design is provided for illustration. Design/methodology/approach The product design is developed on the basis of both customer and functionality requirements. The critical product components are then determined. The design and analysis of experiments are performed by using simulation, and then the probability distributions are adopted to determine the values of desired responses under each combination of critical product parameters and tolerances. Regression nonlinear models are then developed and inserted as constraints in the complete optimization model. Preferences on product specifications and process settings, as well as process capability index ranges, are also set as model constraints. The combined objective functions are finally formulated to minimize the sum of positive and negative deviations from desired targets and maximize process capability. The optimization model is applied to determine the optimal wheelchair design. Findings The results showed that the proposed approach is effective in determining the optimal values of the design parameters and tolerances of the critical components of the wheelchair with their related process means and standard deviations that enhance desired multiple quality responses under uncertainty. Practical implications This work provides a general methodology that can be applied for concurrent optimization of product design and process design in a wide range of business applications. Moreover, the methodology is beneficial when uncertainty exists in quality responses and the parameters and tolerances of product design and its critical processes. Originality/value The fuzziness is rarely considered in research and development stage. This research considers membership functions for parameters and tolerances of a product and its related processes rather than crisp values. Moreover, presented optimization model considers multiple objective functions, sum of deviations and process capability. Finally, the indirect quality responses are calculated from the best-fit probability distributions rather than assuming a normal distribution.

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“…Then, Burr distribution can be easily transferred to any normal/non-normal distribution. Interested readers are referred to [52,53].…”

Section: Introductionmentioning

confidence: 99%

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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Optimum process mean, standard deviation and specification limits settings under the Burr distribution

Cited by 5 publications

References 30 publications

Efficiency Evaluation of Cultural Services in the Czech Republic via Multi-Criteria Decision Analysis

Efficiency Evaluation of Cultural Services in the Czech Republic via Multi-Criteria Decision Analysis

Optimal parameters and tolerances in concurrent product and process design using simulation and fuzzy goal programming

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

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