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This research aims to develop a flexible resubmitted sampling plan (RSP) incorporating a process loss index for variable inspection. This model will effectively address product specifications that are affected by variations in target value and lot fraction non-conformance as well. This method is specially designed for quality characteristics that have a normal distribution and are subject to double specification limits. This article outlines the plan parameters by utilizing the common two-point condition on the operating characteristic curve. This criterion ensures that the strategy will satisfy the quality requirements and acceptable risk levels for both the customer and the manufacturer. An analysis is conducted to evaluate the performance of the proposed sampling plan and compare it to the characteristics of the typical single-sample plan. The proposed method enables a reduction in the sample size that is tested while maintaining an equal level of protection for both the manufacturer and the consumer. Tables comprising the plan parameters are available for practical use and organized according to specified quality standards and degrees of risk. Moreover, an example illustrating the operational method is provided to verify the proposed approach.
Czasopismo
Rocznik
Tom
Strony
201--211
Opis fizyczny
Bibliogr. 41 poz., rys., tab.
Twórcy
autor
- Department of Industrial Engineering, Universitas Hasanuddin, Indonesia
autor
- Department of Industrial Engineering, Universitas Hasanuddin, Indonesia
autor
- Department of Industrial Engineering, Universitas Hasanuddin, Indonesia
autor
- Tokyo Institute of Technology, Japan
autor
- China Medical University, Taiwan
Bibliografia
- 1.ANSI/ASQC Standard A2-1987. Terms, Symbols, and Definitions for Acceptance Sampling, American Society for Quality Control, Milwaukee, WI.
- 2.Aslam, M., Azam, M., Albassam, M., 2019. Sampling Plan Using Process Loss Index Using Multiple Dependent State Sampling under Neutrosophic Statistics. IEEE Access, 7, 38568-38576. DOI: 10.1109/ACCESS.2019.2906408
- 3.Aslam, M., Yen, C. H., Chang, C. H., Jun, C. H., 2013. Multiple states repetitive group sampling plans with process loss consideration. Applied Mathematical Modelling, 37(20-21), 9063-9075. DOI: 10.1016/j.apm.2013.04.020
- 4.Aslam, M., Yen, C. H., Chang, C. H., Jun, C. H., 2014. Multiple dependent state variable sampling plans with process loss consideration. International Journal of Advanced Manufacturing Technology, 71(5-8), 1337-1343. DOI: 10.1007/s00170-013-5574-9
- 5.Aslam, M., Yen, C. H., Chang, C. H., Jun, C. H., Ahmad, M., Rasool, M., 2012. Two-stage variables acceptance sampling plans using process loss functions. Communications in Statistics - Theory and Methods, 41(20), 3633-3647. DOI: 10.1080/03610926.2011.563019
- 6.Aslam, M., Yen, C. H., Jun, C. H., 2011. Variable repetitive group sampling plans with process loss consideration. Journal of Statistical Computation and Simulation, 81(11), 1417-1432. DOI: 10.1080/00949655.2010.487826
- 7.Banihashemi, A., Nezhad, M.S.F., Amiri, A., 2021. A new approach in the economic design of acceptance sampling plans based on process yield index and Taguchi loss function. Computers & Industrial Engineering, Vol. 159. DOI: 10.1016/j.cie.2021.107155
- 8.Chan, L. K., Cheng, S. W., Spiring, F. A., 1988. A New Measure of Process Capability: Cpm. Journal of Quality Technology, 20(3), 162-175. DOI: 10.1080/00224065.1988.11979102
- 9.Darmawan, A., Wu, C.W., 2025. Designing an Enhanced Acceptance Sampling Strategy with the Process Loss Index. European Journal of Industrial Engineering, 20(2), 157-182. DOI: 10.1504/EJIE.2025.10064829
- 10.Darmawan, A., Wu, C. W., Wang, Z. H., Chiang, P. J., 2025. Developing variables two-plan sampling scheme with consideration of process loss for lot sentencing. Quality Engineering, 37(2), 273-291. DOI: 10.1080/08982112.2024.2381012
- 11.Govindaraju, K., Ganesalingam, S., 1997. Sampling inspection for resubmitted lots. Communications in Statistics - Simulation and Computation, 26(3), 1163-1176. DOI: 10.1080/03610919708813433
- 12.Hafeez, W., Aziz, N., Du, J., 2023. Designing Bayesian new two-sided group chain sampling plan for quality regions based on beta prior. Quality and Reliability Engineering International, 39, 2215-229. DOI: 10.1002/ qre.3328
- 13.Hsiang, T. C., Taguchi, G., 1985. A Tutorial on Quality Control and Assurance-The Taguchi Methods. America Statistical Association, Annual Meeting.
- 14.Johnson, T., 1992. The Relationship of Cpm to Squared Error Loss. Journal of Quality Technology, 24(4), 211-215. DOI: 10.1080/00224065.1992.11979402
- 15.Kane, V. E., 1986. Process capability indices. Journal of Quality Technology, 18(I), 41-52. DOI: 10.1201/9780203741948
- 16.Kurniati, N., Yeh, R. H., Wu, C. W., 2015. A sampling scheme for resubmitted lots based on one-sided capability indices. Quality Technology and Quantitative Management, 12(4), 501-515. DOI: 10.1080/16843703.2015.11673433
- 17.Lin, H.-C., Yu, T.-W., 2008. The reliability analysis of the process loss index based on control chart samples. IMECS 2008: International Multiconference of Engineers and Computer Scientists, Vols I and Ii, II, 1601-1606.
- 18.Liu, S. W., Lin, S. W., Wu, C. W., 2014. A resubmitted sampling scheme by variables inspection for controlling lot fraction nonconforming. International Journal of Production Research, 52(12), 3744-3754. DOI: 10.1080/00207543.2014.886028
- 19.Liu, S. W., Wu, C. W., 2022. Yield-based variables repetitive group plan with a critical-value-adjusted mechanism. Quality and Reliability Engineering International, 38(6), 3017-3032. DOI: 10.1002/qre.3004
- 20.Pearn, W. L., Chang, Y. C., Wu, C. W., 2004. Distributional and inferential properties of the process loss indices. Journal of Applied Statistics, 31(9), 1115-1135. DOI: 10.1080/0266476042000280364
- 21.Pearn, W. L., Chang, Y. C., Wu, C. W., 2006a. Measuring process performance based on expected loss with asymmetric tolerances. Journal of Applied Statistics, 33(10), 1105-1120. DOI: 10.1080/02664760600 746871
- 22.Pearn, W. L., Chang, Y. C., Wu, C. W., 2006b. Multiple-process performance analysis chart based on process loss indices. International Journal of Systems Science, 37(7), 429-435. DOI: 10.1080/00207720600566263
- 23.Pearn, W. L., Kotz, S., Johnson, N. L., 1992. Distributional and Inferential Properties of Process Capability Indices. Journal of Quality Technology, 24(4), 216-231. DOI: 10.1080/00224065.1992.11979403
- 24.Seifi, S., Nezhad, M. S. F., 2017. Variable sampling plan for resubmitted lots based on process capability index and Bayesian approach. International Journal of Advanced Manufacturing Technology, 88(9-12), 2547-2555. DOI: 10.1007/s00170-016-8958-9
- 25.Shu, M. H., Wang, T. C., Hsu, B. M., 2021. An integrated supplier-buyer lots sampling plan with quality traceability based on process loss restricted consideration. IEEE Access, 9, 102687-102699. DOI: 10.1109/ACCESS.2021.3095932
- 26.Tsui, K. L., 1997. Interpretation of process capability indices and some alternatives. Quality Engineering, 9(4), 587-596. DOI: 10.1080/08982119708919080
- 27.Wang, F., 2016. Variables Sampling Plan for Resubmitted Lots in a Process with Linear Profiles. Quality and Reliability Engineering International, 32(3),1029-1040. DOI: 10.1002/qre.1812
- 28.Wang, T. C., 2022) Developing an adaptive sampling system indexed by Taguchi capability with acceptance-criterion-switching mechanism. International Journal of Advanced Manufacturing Technology, 122, 2329-2342. DOI: 10.1007/s00170-022-09996-2
- 29.Wang, Z. H., Wu, C. W., Li, P. Y., 2024. An improved skip-lot sampling scheme with resampling mechanism using an advanced capability index. International Journal of Production Research, 1-15. DOI: 10.1080/ 00207543.2024.2357736
- 30.Wu, C. W., Aslam, M., Jun, C. H., 2012. Variables sampling inspection scheme for resubmitted lots based on the process capability index Cpk. European Journal of Operational Research, 217(3), 560-566. DOI: 10.1016/j.ejor.2011.09.042
- 31.Wu, C. W., Chen, J. C., Wu, T. H., 2015. A flexible sampling scheme for variables inspection with loss consideration. Journal of Statistical Computation and Simulation, 85(18), 3766-3777. DOI: 10.1080/00949655. 2015.1022781
- 32.Wu, C. W., Darmawan, A., 2023. A modified sampling scheme for lot sentencing based on the third-generation capability index. Annals of Operations Research. DOI: 10.1007/s10479-023-05328-z
- 33.Wu, C. W., Darmawan, A., Liu, S. W., 2023. Stage-independent multiple sampling plan by variables inspection for lot determination based on the process capability index Cpk. International Journal of Production Research, 61(10), 3171-3183. DOI: 10.1080/00207543.2022.2078745
- 34.Wu, C. W., Darmawan, A., Liu, S. W., 2025. Developing a stage-independent multiple sampling plan with loss-based capability index for lot disposition. Journal of the Operational Research Society, 76(3), 426-437. DOI: 10.1080/01605682.2024.2363264
- 35.Wu, C. W., Shu, M. H., Nugroho, A. A., Kurniati, N., 2015. A flexible process-capability-qualified resubmission-allowed acceptance sampling scheme. Computers and Industrial Engineering, 80, 62-71. DOI: 10.1016/j.cie.2014.11.015
- 36.Wu, C.W., Shu, M.H., Hsu, B.M., Wang, T.C., 2025. Optimum design of an efficient variables sampling system for validating process yield with SixSigma quality requirement and creation of a cloud-computing too. European Journal of Industrial Engineering. DOI: 10.1504/EJIE. 2025.143087
- 37.Wu, C.W., Wang, Z.H., 2024. A cost-effective skip-lot sampling scheme using a loss-based capability index for product acceptance determination. International Journal of Production Economics, 273. DOI: 10.1016/j.ijpe.2024.109281
- 38.Yen, C. H., Aslam, M., Chang, C. H., Jun, C. H., 2018. A new control chart using the process loss index function. Journal of Engineering Research, 6(1), 170-191.
- 39.Yen, C.H., Aslam, M., Chang, C. H., Sherwani, R.A. K., Ahmad, L., Jun, C.H., 2023. A variable sampling plan based on the coefficient of variation for lots resubmission. Scientific Reports, 13, 22986. DOI: 10.1038/s41598-023-50498-2
- 40.Yen, C. H., Chang, C. H., 2009. Designing variables sampling plans with process loss consideration. Communications in Statistics: Simulation and Computation, 38(8), 1579-1591. DOI: 10.1080/03610910903046809
- 41.Yum, B. J., 2023. A bibliography of the literature on process capability indices (PCIs): 2010-2021, Part I: Books, review/overview papers, and univariate PCI-related papers. Quality and Reliability Engineering International, 39(4), 1413-1438. DOI: 10.1002/qre.3258
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d4f8008d-12a7-4f13-b770-a32393867eb0
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