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Title: :  OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES
PaperId: :  1497
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 1 Issue 5 2015
DUI:    16.0415/IJARIIE-1497
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Sanat Kumar Mahato Mejia Govt. College, Mejia, Bankura, West Bengal, India

Abstract

Operations Research
Optimization, Reliability-redundancy Allocation Problem, Non-crisp Number, Interval Number, Random Numbers, Genetic Algorithm, Chance Constraint, Stochastic Simulation
In this paper, we have considered the optimal solution of the reliability-redundancy allocation problems (RAP) involving chance constraints in non-crisp environment. The reliabilities of the components are not fixed numbers rather they are non-crisp/imprecise numbers. Also the constraints in the RAP considered are chance constraints which are stochastic in nature. We have proposed a stochastic simulation based Genetic Algorithm approach for solving the reliability optimization problems of the type mentioned in this paper. The impreciseness has been considered in terms of the stochastic approach and the interval approach. In case of the stochastic approach, the reliabilities of the components are taken to be random variables which are distributed normally. After that Monte-Carlo simulation method is used to convert the chance constraints into the deterministic ones. The changed problem is then solved by the real coded genetic algorithm based on stochastic simulation and the constraint handling procedure. Few numerical examples are reported to explain the efficiency of the projected method.

Citations

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IJARIIE Sanat Kumar Mahato . "OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES" International Journal Of Advance Research And Innovative Ideas In Education Volume 1 Issue 5 2015 Page 698-711
MLA Sanat Kumar Mahato . "OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES." International Journal Of Advance Research And Innovative Ideas In Education 1.5(2015) : 698-711.
APA Sanat Kumar Mahato . (2015). OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES. International Journal Of Advance Research And Innovative Ideas In Education, 1(5), 698-711.
Chicago Sanat Kumar Mahato . "OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES." International Journal Of Advance Research And Innovative Ideas In Education 1, no. 5 (2015) : 698-711.
Oxford Sanat Kumar Mahato . 'OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES', International Journal Of Advance Research And Innovative Ideas In Education, vol. 1, no. 5, 2015, p. 698-711. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/OPTIMIZATION_OF_CHANCE_CONSTRAINED_REDUNDANCY_ALLOCATION_PROBLEM_WITH_NON_CRISP_COMPONENT_RELIABILITIES_ijariie1497.pdf (Accessed : 15 February 2017).
Harvard Sanat Kumar Mahato . (2015) 'OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES', International Journal Of Advance Research And Innovative Ideas In Education, 1(5), pp. 698-711IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/OPTIMIZATION_OF_CHANCE_CONSTRAINED_REDUNDANCY_ALLOCATION_PROBLEM_WITH_NON_CRISP_COMPONENT_RELIABILITIES_ijariie1497.pdf (Accessed : 15 February 2017)
IEEE Sanat Kumar Mahato , "OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES," International Journal Of Advance Research And Innovative Ideas In Education, vol. 1, no. 5, pp. 698-711, Nov-Dec 2015. [Online]. Available: https://ijariie.com/AdminUploadPdf/OPTIMIZATION_OF_CHANCE_CONSTRAINED_REDUNDANCY_ALLOCATION_PROBLEM_WITH_NON_CRISP_COMPONENT_RELIABILITIES_ijariie1497.pdf [Accessed : 15 February 2017].
Turabian Sanat Kumar Mahato . "OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 1 number 5 (15 February 2017).
Vancouver Sanat Kumar Mahato . OPTIMIZATION OF CHANCE CONSTRAINED REDUNDANCY ALLOCATION PROBLEM WITH NON-CRISP COMPONENT RELIABILITIES. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2015 [Cited : 15 February 2017]; 1(5) : 698-711. Available from: https://ijariie.com/AdminUploadPdf/OPTIMIZATION_OF_CHANCE_CONSTRAINED_REDUNDANCY_ALLOCATION_PROBLEM_WITH_NON_CRISP_COMPONENT_RELIABILITIES_ijariie1497.pdf
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