Research Article

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

by  Sundar Viswanathan
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 109 - Issue 2
Published: January 2015
Authors: Sundar Viswanathan
10.5120/19163-0612
PDF

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 },
                        year    = { 2015 },
                        volume  = { 109 },
                        number  = { 2 },
                        pages   = { 32-37 },
                        doi     = { 10.5120/19163-0612 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2015
                        %A Sundar Viswanathan
                        %T Continuous Sampling Plan in Preventing Defects with Risk Evaluation in Production and Sales System%T 
                        %J International Journal of Computer Applications
                        %V 109
                        %N 2
                        %P 32-37
                        %R 10.5120/19163-0612
                        %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
  • H. F. Dodge (1943). A sampling inspection plan for continuous production. Annals of Statistics, 14, 264-279
  • G. K. Mytalas and M. A. Zazanis, (2007), Delay analysis of continuous sampling plans www. aueb. gr/pympe/hercma/ proceedings2007/H07-FULL-PAPERS
  • Albert H. Bowker, (1956) Proceedings of the Third Berkeley Symposium projecteuclid. org/download/pdf-1/euclid. bsmsp/1200511857
  • Ivo Adan and Jacques Resing,(2001) Queueing theory,http//wwwhome. math. utwente. nl/scheinhardwrw/queueingdictaat. pdf
  • Kenblock, (2012) Business statistics for contemporary decision making, John Wiley & sons Inc.
  • James c. Cox and Vjollca Sadiraj, (2009) On the coefficient of variation as a measure of risk of sensitivity, http://excen. gsu. edu/ working papers /GSU_EXCEN_WP_2009-06. pdf
  • Rockefeller. R. T, (2007) Coherent approaches to risk in optimization under uncertainty, Tutorials in Operations Research INFORMS, 38-61, http://www. math. washington. edu/-rt/papers. html.
  • Neuts. M. F. (1981). Matrix-Geometric Solutions in Stochastic Models: An algorithmic Approach, The Johns Hopkins Press, Baltimore
  • Bini, Latouche and Mein. Bini, (2005). Numerical methods for structured Markov chains, Oxford Univ. Press, Oxford
  • Latouche and Ramaswami (1998). Introduction to Matrix Analytic Methods in Stochastic Modeling, SIAM. Philadelphia
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

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

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