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Reseach Article

Continuous Sampling Plan in Preventing Defects with Risk Evaluation in Production and Sales System

by Sundar Viswanathan
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 109 - Number 2
Year of Publication: 2015
Authors: Sundar Viswanathan
10.5120/19163-0612

Sundar Viswanathan . Continuous Sampling Plan in Preventing Defects with Risk Evaluation in Production and Sales System. International Journal of Computer Applications. 109, 2 ( January 2015), 32-37. DOI=10.5120/19163-0612

@article{ 10.5120/19163-0612,
author = { Sundar Viswanathan },
title = { Continuous Sampling Plan in Preventing Defects with Risk Evaluation in Production and Sales System },
journal = { International Journal of Computer Applications },
issue_date = { January 2015 },
volume = { 109 },
number = { 2 },
month = { January },
year = { 2015 },
issn = { 0975-8887 },
pages = { 32-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume109/number2/19163-0612/ },
doi = { 10.5120/19163-0612 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:43:46.041989+05:30
%A Sundar Viswanathan
%T Continuous Sampling Plan in Preventing Defects with Risk Evaluation in Production and Sales System
%J International Journal of Computer Applications
%@ 0975-8887
%V 109
%N 2
%P 32-37
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper studies a continuous sampling plan in preventing entries of defective products produced for sales using queueing theory methods. The sampling plan considered here has three inspection modes. All the products are inspected in mode I and in modes II and III the products are inspected with some probability c ? 0 and d > 0 respectively in the modes in order to avoid high cost of inspecting all products produced. Matrix methods are used for studying the stock level probabilities and various performance and risk measures including the rate of entry of defectives, expected defective products in the stock, standard deviation and the coefficient of variation are presented. Stationary stock level probabilities are derived using iterated rate matrix. Two special cases with c > 0 and d=1 and with c = 0 and d > 0 are considered. Numerical cases are treated to note the significance of the continuous sampling plan in reducing the entry rates. The expected defective products in the stock for sales and all the risk measures are listed and discussed.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Stationary Probability Block Partitioned Methods Infinitesimal Generator Expected Defective Products Defective Entry Rates.