NDLI: Attribute Service Performance Index Based on Poisson Process

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Attribute Service Performance Index Based on Poisson Process

Content Provider	MDPI
Author	Chen, Kuen-Suan Hsu, Chang-Hsien Hsu, Ting-Hsin
Copyright Year	2021
Description	The purpose of a shop enhancing customer satisfaction is to raise its total revenue as the rate of customer purchases in the shop increases. Some studies have pointed out that the amount of customer arrival at a shop is a Poisson process. A simple and easy-to-use evaluation index proposed for the Poisson process with the attribute characteristic will help various shops evaluate their business performance. In addition, developing an excellent and practical service performance evaluation method will be beneficial to the advancement of shop service quality as well as corporate image, thereby increasing the profitability and competitiveness of the shop. As the surroundings of the internet of things (IoT) are becoming gradually common and mature, various commercial data measurement and collection technologies are constantly being refined to form a huge amount of production data. Efficient data analysis and application can assist enterprises in making wise and efficient decisions within a short time. Thus, following the simple and easy-to-use principle, this paper proposes an attribute service performance index based on a Poisson process. Since the index had unknown parameters, this paper subsequently figured out the best estimator and used the central limit theorem to derive the confidence interval of the service efficiency index based on random samples. Then, we constructed the membership function based on the $α-cuts$ of the triangular shaped fuzzy number. Finally, we came up with a fuzzy testing model based on the membership function to improve the accuracy of the test when the sample size is small in order to meet enterprises’ needs for quick responses as well as reducing the evaluation cost.
Starting Page	3144
e-ISSN	22277390
DOI	10.3390/math9233144
Journal	Mathematics
Issue Number	23
Volume Number	9
Language	English
Publisher	MDPI
Publisher Date	2021-12-06
Access Restriction	Open
Subject Keyword	Mathematics Industrial Engineering Confidence Interval Fuzzy Testing Membership Function of Fuzzy Number Poisson Process Service Performance Index
Content Type	Text
Resource Type	Article

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