Rabia ASHRAF, Nadia SAEED, Kanwal SALEEM, Muhammad ASLAM

68187

Optimal design of multiple dependent state repetitive group sampling plan for Inverse Power Lomax distribution

A sampling plan named as Multiple Dependent State Repetitive Group Sampling (MDSRGS) plan is introduced for a time-truncated life test given that the underlying distribution of the product's lifetime is Inverse Power Lomax distribution (IPLD). The proposed sampling plan is developed with the help of two already developed sampling plans (MDS and RGS). The two-point approach OC function known as the producer's risk and customer's risk is used to determine the parameters of the proposed plan. An optimization method is used for different values of customer's risk and producer's risk, for static values of experiment termination ratio and mean ratio, to find out plan parameters (minimum size of the sample, the number of acceptance and rejection, and the number of successive lots). Tables are created for different known values of shape parameters of Inverse Power Lomax distribution. The efficiency of the proposed MDSRGS plan is examined by conducting a comparative study. To accompany the results, graphs are also used for visualizing the average sample and acceptance probabilities with the specific mean ratio. Two real-life applications are also incorporated to demonstrate the operating procedure of the proposed plan.
Keywords:

multiple dependent state sampling, repetitive sampling, OC curve, termination time,

PDF

___

  • [1] A.I. Al-Omari, Acceptance sampling plans based on truncated lifetime tests for transmuted inverse Rayleigh distribution, Econ. Qual. Control, 31 (2), 85-91, 2016.
  • [2] M. Aslam, M. Azam and C.H. Jun, Multiple dependent state repetitive group sampling plan for Burr XII distribution, Qual. Eng. 28 (2), 231-237, 2016.
  • [3] M. Aslam, C.H. Jun, A.J. Fernández, M. Ahmad and M. Rasool, Repetitive group sampling plan based on truncated tests for Weibull models, Res. J. Appl. Sci. 7 (10), 1917-1924, 2014.
  • [4] M. Aslam, D. Kundu and M. Ahmad, Time truncated acceptance sampling plans for the generalized exponential distribution, J. Appl. Stat. 37 (4), 555-566, 2010.
  • [5] M. Aslam, Y.L. Lio and C.H. Jun, Repetitive acceptance sampling plans for Burr type XII percentiles, Int. J. Adv. Manuf. Syst. 68 (1-4), 495-507, 2013.
  • [6] N. Balakrishnan, V. Leiva and J. Lopez, Acceptance sampling plans from truncated life tests based on the generalized BirnbaumSaunders distribution, Comm. Statist. Simulation Comput. 36 (3), 643-656, 2007.
  • [7] S. Balamurali, P. Jeyadurga and M. Usha, Designing of Bayesian multiple deferred state sampling plan based on gammaPoisson distribution, Am. J. Math. Manag. 35 (1), 77-90, 2016.
  • [8] S. Balamurali, P. Jeyadurga and M. Usha, Designing of multiple deferred state sampling plan for generalized inverted exponential distribution, Seq. Anal. 36 (1), 76-86, 2017.
  • [9] S. Balamurali, P. Jeyadurga and M. Usha, Optimal designing of multiple deferred state sampling plan for assuring percentile life under Weibull distribution, Int. J. Adv. Manuf. Syst. 93 (9-12), 3095-3109, 2017.
  • [10] S. Balamurali, P. Jeyadurga and M. Usha, Optimal design of repetitive group sampling plans for Weibull and gamma distributions with applications and comparison to the BirnbaumSaunders distribution, J. Appl. Stat. 45 (14), 2499-2520, 2018.
  • [11] H.F. Dodge, Notes on the evolution of acceptance sampling plans part I, J. Qual. Technol. 1 (sup 1), 77-88, 1969.
  • [12] W. Gui, Double acceptance sampling plan for time truncated life tests based on Maxwell distribution, Am. J. Math. Manag. 33 (2), 98-109, 2014.
  • [13] W. Gui and M. Aslam, Acceptance sampling plans based on truncated life tests for the weighted exponential distribution, Comm. Statist. Simulation Comput. 46 (3), 2138-2151, 2017.
  • [14] A.S. Hassan and M. Abd-Allah, On the Inverse Power Lomax distribution, Ann. Data. Sci. 6, 259-278, 2019.
  • [15] M.A. Pawan Teh, N. Aziz and Z. Zain, Time truncated group chain sampling plans for Rayleigh distribution, Glob. J. Pure Appl. Math. 12 (4), 3693-3699, 2016.
  • [16] B.R. Samuel, S. Balamurali and M. Aslam, Designing of repetitive group sampling plan under truncated life test based on generalized inverted exponential distribution, J. Stat. Manag. Syst. 21(6), 955-970, 2018.
  • [17] R.E. Sherman, Design and evaluation of a repetitive group sampling plan, Technometrics 7 (1), 11-21, 1965.
  • [18] N. Singh, N. Singh and H. Kaur, Acceptance sampling plan for truncated life test having generalized Pareto distribution, Reliab. Eng. Syst. Saf. 8, 151-156, 2019.
  • [19] N. Singh, A. Sood and G.S. Buttar, Design of multiple deferred state repetitive group sampling plan for inverse Weibull distribution based on life test, International Journal of Scientific Research and Review 7 (3), 3734-3742, 2019.
  • [20] A.W. Wortham and R.C. Baker, Multiple deferred state sampling inspection, Int. J. Prod. Res. 14 (6), 719-731, 1976.
  • [21] C.W. Wu and Z.H. Wang, Developing a variables multiple dependent state sampling plan with simultaneous consideration of process yield and quality loss, Int. J. Prod. Res. 55 (8), 2351-2364, 2017.
  • [22] C.H. Yen, C.H. Chang, M. Aslam and C.H. Jun, Multiple dependent state repetitive sampling plans based on one-sided process capability indices, Comm. Statist. Theory Methods, 47 (6), 1403-1412, 2017.
Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
Arşiv
Sayıdaki Diğer Makaleler

Nabil MACHRAFI, Birol ALTIN

Melek ESEMEN, Selma GURLER

Seval IŞIK, Figen KANGALGİL

Rabia ASHRAF, Nadia SAEED, Kanwal SALEEM, Muhammad ASLAM

Nihan UYGUN ERCAN

Mohammed ISSOUAL, Najib MAHDOU, Moutu ABDOU SALAM MOUTUİ

ON THE STRONGLY ANNIHILATING-SUBMODULE GRAPH OF A MODULE

Reza BEYRANVAND, Ahadollah FARZI-SAFARABADI

Jie FANG

Emre KOÇAK, Ecem DEMİR YURTSEVEN, H. Hasan ÖRKCÜ

Abdoul Djibril DİALLO, Papa Cheikhou DIOP, Rachid TRİBAK