Full Paper View Go Back

An Alternative Method for Optimal Cost with Double Acceptance Sampling Plan

S. Kumar1

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.4 , pp.30-39, Aug-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i4.3039


Online published on Aug 31, 2019


Copyright © S. Kumar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: S. Kumar, “An Alternative Method for Optimal Cost with Double Acceptance Sampling Plan,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.4, pp.30-39, 2019.

MLA Style Citation: S. Kumar "An Alternative Method for Optimal Cost with Double Acceptance Sampling Plan." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.4 (2019): 30-39.

APA Style Citation: S. Kumar, (2019). An Alternative Method for Optimal Cost with Double Acceptance Sampling Plan. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(4), 30-39.

BibTex Style Citation:
@article{Kumar_2019,
author = {S. Kumar},
title = {An Alternative Method for Optimal Cost with Double Acceptance Sampling Plan},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2019},
volume = {6},
Issue = {4},
month = {8},
year = {2019},
issn = {2347-2693},
pages = {30-39},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1426},
doi = {https://doi.org/10.26438/ijcse/v6i4.3039}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i4.3039}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1426
TI - An Alternative Method for Optimal Cost with Double Acceptance Sampling Plan
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S. Kumar
PY - 2019
DA - 2019/08/31
PB - IJCSE, Indore, INDIA
SP - 30-39
IS - 4
VL - 6
SN - 2347-2693
ER -

3330 Views    306 Downloads    127 Downloads
  
  

Abstract :
In this study, a double acceptance sampling plan is developed for cost optimization with the constraints. The good and bad item scheme is mainly considered, which totally depends on the sampling plan. The purpose of this paper is to design an economic acceptance sampling plan to obtain optimal total cost on the basis of average total inspection (ATI). In double acceptance sampling plan, we overcome the drawback of single acceptance sampling plan, when we fail to make a decision on the basis of SASP. The total cost is analyzed according to various parameters like OC, AOQ, ASN and ATI. A mathematical model has been developed to find minimum total cost with consideration of various cost (inspection cost, failure cost and post-sale failure cost) and provides a protection both the producer’s and consumer’s risk. The results are explained with different tables and graphs.

Key-Words / Index Term :
Acceptance Sampling Plan, Average Total Inspection, Total Cost, Average Outgoing Quality, Average Sample Number, Operating Characteristic

References :
[1]Dodge, H.F. and Romig, H.G. (1959): ‘‘Sampling inspection tables, Single and Double sampling’’, 2nd edition, John Wiley, New York.
[2] Duncan, A. J. (1963): “Quality Control and Industrial Statistics” Irwin: Homewood, IL
[3] Ekambaram, S. K. (1960): “The statistical basis of Quality control charts”, Asia publishing house.
[4] Forrell, W.G. and Chhoker, A. (2002): “Design of economically optimal acceptance sampling plan with inspection error”, Computers and operations Research, 29, 10, 1283-1300.
[5] Grant, E. L. (1964): “Statistical Quality Control”, Mc-Graw Hill, New York.
[6] Hsu,L.F. and Tapiero,C.S.(1990): “An economic model for determining the optimal quality and process control policy in a queue like production system”, International Journal of Production Research,vol.28,no.8.pp.1447-1457.
[7] Kapur, K.C. and Lamberson, L.R. (1977): ‘‘Reliability in Engineering Design”, John Wiley, New York.
[8] Kapur, K.C. and Wang, C.J. (1987): “Economic Design of Specifications Based on Taguchi’s Concept of Quality Loss Function”, Quality Design Planning and Control, edited by DeVor, R.E. and Kapoor, S. G. The Winter Annual Meeting of The American Society of Mechanical Engineers, Boston, MA, U.S.A. pp. 23-36.
[9] Kapur, K.C.(1988): “An approach for development of specifications for quality improvement”, Quality Engineering, 1, 63–77.
[10] Hsu, L. F. and Hsu, J. T. (2012): “Economic Design of Acceptance Sampling Plans in a Two-Stage Supply Chain”, Advances in Decision Sciences, vol. 28, no. 8,
[11] Montgomery, D. C. (2008): “Introduction to Statistical Quality Control”, 6th ed. Wiley.
[12] Rahim, M.A. and Tuffaha, F.(2004): “Integrated model for determining the optimal initial settings of the process mean and the optimal production run assuming quadratic loss functions”,
International Journal of Production Research, 42 (16), 3281-3300.
[13] Kumar, S. (2018). “Cost Optimization Using Acceptance Sampling Plan: A Statistical Analysis with Single Sample.” Int. J. Curr. Microbiol. App. Sci. 7(02), 3759-3768.
[14] Kumar, S. (2019). “An Alternative Method for Outgoing Quality with Double Sampling Plan.” Int. J. Curr. Microbiol. App. Sci. 8(05), 98-108.
[15] Shewhart, W.A. (1931) “Economic control of quality of manufactured products”, Van Nostrand.
[16] Tagaras, G. (1994): “Economic acceptance sampling plans by variables with quadratic quality cost”, IIE Transactions, 26, 6, 29-36.
[17] Taguchi, G. (1986): Introduction to Quality Engineering, Asian Productivity Organization, Tokyo.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation