The Economically Designed SVSSI Xbar Control Chart

Author

Cheng, Longsheng ; Guo, Zhifang

Author_Institution

Sch. of Economic & Manage., Nanjing Univ. of Sci. & Technol., Nanjing, China

fYear

2011

fDate

19-21 May 2011

Firstpage

1

Lastpage

4

Abstract

A SVSSI (special variable sample size and sampling interval) X̅ chart that uses two sampling intervals and three sample sizes has been shown superior to the traditional VSI and VSSI X̅ charts. The economic model for a SVSSI X̅ chart is developed. The performance indexes of the SVSSI X̅ chart ATS, AATS, ANSS, and ANOS are derived by employing the Markov chain approach. The cost function is derived. Numerical example is used to compare the economic performances of VSI, VSSI, and SVSSI X̅ charts. The results show the superiority of the developed model. The genetic algorithm is employed to search the optimal solution of the economic design for the particular process.

Keywords

Markov processes; control charts; genetic algorithms; performance index; Markov chain approach; SVSSI Xbar control chart; cost function; economic model; genetic algorithm; performance index; sampling interval; special variable sample size; Control charts; Economics; Genetic algorithms; Markov processes; Numerical models; Process control; Tin;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer and Management (CAMAN), 2011 International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-9282-4

Type

conf

DOI

10.1109/CAMAN.2011.5778893

Filename

5778893