Quality & Quantity

, Volume 49, Issue 2, pp 455–462 | Cite as

A control chart for an exponential distribution using multiple dependent state sampling

  • Muhammad Aslam
  • Muhammad Azam
  • Nasrullah Khan
  • Chi-Hyuck Jun


In this paper, we will present a control chart for exponentially distributed quality characteristics using multiple dependent state sampling. The proposed control chart has double control limits with two control coefficients, which is based on a normal approximation through transformation. The control coefficients are determined by considering the average run length (ARL) when the process is in control. The ARL for the shifted process is reported according to various shift ratios. The efficiency of the proposed control chart over the existing t-chart is compared in terms of the ARL.


t-chart Multiple dependent sampling Average run length 



The authors are deeply thankful to the Editor and anonymous reviewers for their valuable suggestions to improve the quality of this manuscript.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Muhammad Aslam
    • 1
  • Muhammad Azam
    • 1
  • Nasrullah Khan
    • 2
  • Chi-Hyuck Jun
    • 3
  1. 1.Department of StatisticsForman Christian College UniversityLahorePakistan
  2. 2.Department of StatisticsNational College of Business Administration & EconomicsLahorePakistan
  3. 3.Department of Industrial and Management EngineeringPOSTECHPohangRepublic of Korea

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