A new asymmetric bounded loss-based process capability index

• Main Authors: Abdolshah, Mohammad, Mohd Yusuff, Rosnah, Ismail, Yusof, Tang, Sai Hong
• Format: Article
• Language: English
• Published: IDOSI Publications 2010
• Online Access: http://psasir.upm.edu.my/id/eprint/44495/1/A%20new%20asymmetric%20bounded%20loss-based%20process%20capability%20index.pdf; http://psasir.upm.edu.my/id/eprint/44495/; https://www.idosi.org/wasj/wasj11(7)2010.htm

Process capability indices such as Cp, Cpk, Cpu and Cpl are common metrics to evaluate and predict the performance of a process. Although higher process capability indices indicate higher process “quality”, but a high quality process does not necessarily guarantee the fewer rates of rejects. Therefore, a process capability index based on rate of rejects or real losses is more reliable and proper. This paper defines a novel process capability index called asymmetric inverted normal loss-based process capability index (AIPCI) with the aid of asymmetric inverted normal loss function. The logical idea is to compare the standard loss for a capable process with other cases. AIPCI is a bounded asymmetric process capability index and can provide a more realistic metric to evaluate and predict the performance of a process.