Reliability and Sensitivity Analysis of Harvesting Systems

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Ashish Kumar
Ashish Kumar
σ
Monika Saini
Monika Saini
α Manipal University Jaipur

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Reliability and Sensitivity Analysis of Harvesting Systems

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Abstract

The objective of the present paper is to obtain the reliability of a harvesting system having three unit tractor (T), combine (C) and wagon (W) using supplementary variable technique. For successful operation of the system units T and C must be remain operative while when unit W fails system works partially. Two repairmen are involved in repairing of the system. One of the repairmen (the first) is the foreman (boss) and the other an assistant (apprentice). Whenever unit T and C fails repair is undertaken by boss while repair of the wagon is undertaken by the trainee. If the boss is busy in repairing and at the same time other unit fails then the repair is undertaken by apprentice. With the help of Supplementary variable technique, Laplace transformations and copula methodology, the transition state probabilities, asymptotic behavior, reliability, M.T.T.F. and sensitivity analysis of the system have been evaluated.

References

5 Cites in Article
  1. H Abdel-Mageed,M Ramadan,M Ibrahim (1987). A mathematical model for predicting optimum power and machinery sizes in a three year crop rotation in Egypt.
  2. B Witney (1974). IMO/WMO Centenary Celebrations and Conferences, held in Vienna, Austria, 4–7 September 1973, and Geneva, Switzerland, 10–12 September 1973.
  3. Z Ismail,A Abdel-Mageed (2010). WORKABILITY AND MACHINERY PERFORMANCE FOR WHEAT HARVESTING.
  4. S Singh,M Ram,S Chaube (2011). ANALYSIS OF THE RELIABILITY OF A THREE-OMPONENT SYSTEM WITH TWO REPAIRMEN.
  5. S Malik,A Kumar (2012). Stochastic Modeling of a Computer System with Priority to PM over S/W Replacement Subject to Maximum Operation and Repair Times.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Ashish Kumar. 2014. \u201cReliability and Sensitivity Analysis of Harvesting Systems\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F3): .

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Issue Cover
GJSFR Volume 14 Issue F3
Pg. 73- 83
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

July 17, 2014

Language
en
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The objective of the present paper is to obtain the reliability of a harvesting system having three unit tractor (T), combine (C) and wagon (W) using supplementary variable technique. For successful operation of the system units T and C must be remain operative while when unit W fails system works partially. Two repairmen are involved in repairing of the system. One of the repairmen (the first) is the foreman (boss) and the other an assistant (apprentice). Whenever unit T and C fails repair is undertaken by boss while repair of the wagon is undertaken by the trainee. If the boss is busy in repairing and at the same time other unit fails then the repair is undertaken by apprentice. With the help of Supplementary variable technique, Laplace transformations and copula methodology, the transition state probabilities, asymptotic behavior, reliability, M.T.T.F. and sensitivity analysis of the system have been evaluated.

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Reliability and Sensitivity Analysis of Harvesting Systems

Ashish Kumar
Ashish Kumar Manipal University Jaipur
Monika Saini
Monika Saini

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