Title :
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
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;
Conference_Titel :
Computer and Management (CAMAN), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-9282-4
DOI :
10.1109/CAMAN.2011.5778893
