Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/267637 
Year of Publication: 
2019
Citation: 
[Journal:] Journal of Industrial Engineering International [ISSN:] 2251-712X [Volume:] 15 [Issue:] 3 [Publisher:] Springer [Place:] Heidelberg [Year:] 2019 [Pages:] 449-478
Publisher: 
Springer, Heidelberg
Abstract: 
In this paper, Burr-type XII X synthetic schemes are proposed as an alternative to the classical ¯X synthetic schemes when the assumption of normality fails to hold. First, the basic design of the Burr-type XII X synthetic scheme is developed and its performance investigated using exact formulae. Secondly, the non-side-sensitive and side-sensitive Burr-type XII X synthetic schemes are introduced and their zero-state and steady-state performances, in terms of the average run-length and expected extra quadratic loss values, are investigated using a Markov chain approach. Thirdly, the proposed schemes are compared to the existing classical runs-rules and synthetic X schemes. It is observed that the proposed schemes have very interesting properties and outperform the competing schemes in many cases under symmetric and skewed underlying process distributions. Finally, an illustrative real-life example is given to demonstrate the design and implementation of the proposed Burr-type XII X synthetic schemes.
Subjects: 
Non-side-sensitive synthetic schemes
Side-sensitive synthetic schemes
Zero-state mode
Steady-state mode
Transition probability matrix (TPM)
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Article

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