Developing a performance index with a Poisson process and an exponential distribution for operations management and continuous improvement

Chen, Kuen‐Suan; Yang, Chun-Ming

doi:10.1016/j.cam.2018.03.034

Cited by 23 publications

(20 citation statements)

References 34 publications

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“…Following the Introduction, this paper lets random variable X denote the number of customers' arrivals at a store per unit time. Chen and Yang [13] noted that random variable X is allocated as Poisson distribution with rate λ; the sequence of inter-arrival times X is also distributed as an exponential distribution with mean τ(τ = λ −1 ), that is, X ∼ G(1, τ). Then, it is learned that the probability density function of X is as follows:…”

Section: Ratio Operating Performance Index and Statistical Hypothesis Testingmentioning

confidence: 99%

“…Concerning an exponential distribution, since mean µ X and standard deviation σ X both equal τ, Chen and Yang [13] defined the operating performance index (OPI) directly based on the quality index of the Six Sigma process. In fact, OPI is based on whether the difference (U − τ) between the maximum expected customer inter-arrival times of a store (U) and mean τ is greater than zero, viewed as an evaluation criterion.…”

Section: Ratio Operating Performance Index and Statistical Hypothesis Testingmentioning

confidence: 99%

“…Kurosu [11] and Shreve et al [12] noted that store customers' arrivals provide a company with a good solution to the performance measurement, as they instantly affect the company's profitability and costs of operation. Chen and Yang [13] considered the number of customers' store visits through a quantifiable Poisson process. This paper uses the random variable X in the next section, to explain, in detail, how customers arrive at the store and follow the Poisson's distribution.…”

Section: Introductionmentioning

confidence: 99%

“…Obviously, it is more effective to evaluate a store's operating performance by means of the time interval between customers' arrivals than to collect the number of customers' arrivals per unit time [13,18,19]. In addition, some studies have pointed out that, based on cost considerations and practicality, the sample size, n, is usually not too large in practice, so it will affect the accuracy of statistical inference [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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A Fuzzy Evaluation Decision Model for the Ratio Operating Performance Index

Chen

et al. 2021

Mathematics

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In order to take into account cost and timeliness and enhance accuracy testing, this study developed the fuzzy number and membership function, using the confidence interval of ratio operating performance index. Subsequently, according to the statistical test rules and the application of the fuzzy number and membership function, a fuzzy evaluation decision model for the operating performance index is proposed, to evaluate if the business performance reaches the needed level. Based on the abovementioned, the evaluation model in this study took into account not only timeliness but also accuracy, so that it could grasp the opportunity of improvement for operating organizations with poor operating performance after being evaluated. This fuzzy evaluation decision model for the operating performance index constructs a fuzzy membership function retrieved from an index’s confidence interval, reducing the chance of miscalculation due to sampling mistakes and improving the efficiency of evaluation. Finally, in order to facilitate the application of readers and the industry, this paper uses cases to explain the proposed fuzzy verification method. On the whole, the model proposed in this paper is a data-based auxiliary tool for the service operating performance improvement strategy.

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Section: Ratio Operating Performance Index and Statistical Hypothesis Testingmentioning

confidence: 99%

Section: Ratio Operating Performance Index and Statistical Hypothesis Testingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Fuzzy Evaluation Decision Model for the Ratio Operating Performance Index

Chen

et al. 2021

Mathematics

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“…In general, companies want suppliers to provide high-quality products or services [51][52][53][54][55]; that is, the higher the better. Therefore, under the assumption of normality, a supplier performance index S PL can be derived based on the following concept proposed by Kane [56]:…”

Section: Supplier Performance Indexmentioning

confidence: 99%

Supplier Selection and Performance Evaluation for High-Voltage Power Film Capacitors in a Fuzzy Environment

et al. 2019

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Rapid advances in technology have shortened the upgrade and replacement cycles in industries such as electronics, household appliances, and communication technologies. Within these industries, high-voltage power film capacitors have become indispensable electrical components due to their good electrical performance and high reliability. The selection and evaluation of suppliers of these capacitors is therefore increasingly important. Suppliers play a crucial role in the electronics industry; the quality of their products determines the degree to which the quality of the final product can be guaranteed. Supplier quality also affects the ability of all the members in a supply chain to control costs. Evaluation by decision-makers is highly significant in the supplier selection process. However, when the opinions of multiple decision-makers are combined, issues such as cognitive differences, fuzzy linguistics, and uncertainty are common. This study presents a supplier performance index SPL and derives the estimates of the index SPL and its statistical properties. The proposed index is not only helpful for the accurate measurement of supplier performance; it can also reduce cognitive differences among evaluators in the decision-making process (that is, the sample variability associated with the Likert scale). Evaluation scores for each criterion for the linguistic labels are converted to triangular fuzzy numbers in order to reduce ambiguity. Subsequently, integrated crisp values are obtained by defuzzification in a fuzzy inference system. A real-world case study of the supplier selection of high-voltage power film capacitors is provided to illustrate the efficacy of the proposed method.

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Fuzzy testing of operating performance index based on confidence intervals

Chen

2019

Ann Oper Res

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Developing a performance index with a Poisson process and an exponential distribution for operations management and continuous improvement

Cited by 23 publications

References 34 publications

A Fuzzy Evaluation Decision Model for the Ratio Operating Performance Index

A Fuzzy Evaluation Decision Model for the Ratio Operating Performance Index

Supplier Selection and Performance Evaluation for High-Voltage Power Film Capacitors in a Fuzzy Environment

Fuzzy testing of operating performance index based on confidence intervals

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