A Sampling Scheme for Resubmitted Lots Based on One-Sided Capability Indices

Abstract

Acceptance sampling plans provide decision rules for lot acceptance determination based on the required quality levels and allowable risks. In this paper, we develop a variables sampling plan based on the one-sided process capability indices, C_PU and C_PL, when lot resubmissions are permitted on non-acceptance of the original inspection. The plan parameters are determined by solving two non-linear equations simultaneously and fulfill the two-point condition on the operating characteristic (OC) curve. The OC curve of the proposed plan is derived based on the exact sampling distribution rather than approximation. Moreover, the behavior of the proposed resubmitted sampling plan for various parameters is examined and discussed. For practical purposes, the sample size and critical acceptance value are tabulated for various parameter values. An example is used to demonstrate the implementation of the proposed resubmitted sampling plan.

Key Words:

• Acceptance sampling
• one-sided specification limit
• process yield
• sampling plan.

Additional information

Notes on contributors

Nani Kurniati

Nani Kurniati is a Lecturer of Sepuluh Nopember Institute of Technology, Indonesia, and a Ph.D. student in the Department of Industrial Management at National Taiwan University of Science and Technology. She received her MA degree in Industrial Engineering and Management from Bandung Institute of Technology, Indonesia. Her research interests include reliability analysis, acceptance sampling and quality measurement.

Ruey-Huei Yeh

Ruey-Huei Yeh is a Distinguished Professor at the Industrial Management Department, National Taiwan University of Science and Technology, Taiwan. His research interest includes reliability analysis, decision analysis, quality management, and warranty policies. He is currently an associate editor of IEEE Transactions on Reliability.

Chien-Wei Wu

Chien-Wei Wu is currently a Professor in the Department of Industrial Engineering and Engineering Management at National Tsing Hua University (NTHU), Taiwan. He received his Ph.D. degree in Industrial Engineering and Management from National Chiao Tung University and the M.S. degree in Statistics from National Tsing Hua University. He worked for National Taiwan University of Science and Technology and Feng Chia University before he joined NTHU. His research interests include quality engineering and management, statistical process control, process capability analysis, and data analysis.