COMPARATIVE AND OPTIMUM ANALYSIS FOR NUMBER OF COLD STANDBY UNITS FOR A SYSTEM WORKING WITH ONE OPERATIVE UNIT AND TWO TYPES OF FAULTS
A system with a single functional unit and one or two cold standby units is studied by developing two Models. In one of the two models, there is a provision for one cold standby unit, whereas in the other, the provision is for two cold standby units. The operative unit, whenever it fails, may eithe...
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Institute of Mechanics of Continua and Mathematical Sciences
2025-05-01
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| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
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| Online Access: | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/05/14193445/jmcms-2505043-COMPARATIVE-AND-OPTIMUM-ANALYSIS-PARVEEN.pdf |
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| author | Parveen Kumar Gulshan Taneja Anil Kumar Taneja |
| author_facet | Parveen Kumar Gulshan Taneja Anil Kumar Taneja |
| author_sort | Parveen Kumar |
| collection | DOAJ |
| description | A system with a single functional unit and one or two cold standby units is
studied by developing two Models. In one of the two models, there is a provision for one cold standby unit, whereas in the other, the provision is for two cold standby units. The operative unit, whenever it fails, may either fail due to a major fault or a minor fault, which is revealed by carrying out an inspection. When the operative unit fails, the cold standby becomes operational with an activation time between the operative unit failing and the standby operating state. Reliability and profit analysis have been carried out for both two models. A comparative study has also been made between the two models to decide whether one or two cold standby units should be used for such a system, as far as the profitability aspect is concerned. The models have been examined using the regenerating point method. |
| format | Article |
| id | doaj-art-102eccea2c5049b3a116d0a9f3adb2bc |
| institution | Matheson Library |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-102eccea2c5049b3a116d0a9f3adb2bc2025-07-17T11:20:57ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-05-01205819610.26782/jmcms.2025.05.00007COMPARATIVE AND OPTIMUM ANALYSIS FOR NUMBER OF COLD STANDBY UNITS FOR A SYSTEM WORKING WITH ONE OPERATIVE UNIT AND TWO TYPES OF FAULTSParveen Kumar0Gulshan Taneja1Anil Kumar Taneja2Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, (HR), India.Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, (HR), India.Department of Mathematics, Sh. L. N. Hindu College, Rohtak, Haryana. India.A system with a single functional unit and one or two cold standby units is studied by developing two Models. In one of the two models, there is a provision for one cold standby unit, whereas in the other, the provision is for two cold standby units. The operative unit, whenever it fails, may either fail due to a major fault or a minor fault, which is revealed by carrying out an inspection. When the operative unit fails, the cold standby becomes operational with an activation time between the operative unit failing and the standby operating state. Reliability and profit analysis have been carried out for both two models. A comparative study has also been made between the two models to decide whether one or two cold standby units should be used for such a system, as far as the profitability aspect is concerned. The models have been examined using the regenerating point method.https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/05/14193445/jmcms-2505043-COMPARATIVE-AND-OPTIMUM-ANALYSIS-PARVEEN.pdfcold standby unit(s)comparative analysismajor/minor failureoperative unitregenerative point technique |
| spellingShingle | Parveen Kumar Gulshan Taneja Anil Kumar Taneja COMPARATIVE AND OPTIMUM ANALYSIS FOR NUMBER OF COLD STANDBY UNITS FOR A SYSTEM WORKING WITH ONE OPERATIVE UNIT AND TWO TYPES OF FAULTS Journal of Mechanics of Continua and Mathematical Sciences cold standby unit(s) comparative analysis major/minor failure operative unit regenerative point technique |
| title | COMPARATIVE AND OPTIMUM ANALYSIS FOR NUMBER OF COLD STANDBY UNITS FOR A SYSTEM WORKING WITH ONE OPERATIVE UNIT AND TWO TYPES OF FAULTS |
| title_full | COMPARATIVE AND OPTIMUM ANALYSIS FOR NUMBER OF COLD STANDBY UNITS FOR A SYSTEM WORKING WITH ONE OPERATIVE UNIT AND TWO TYPES OF FAULTS |
| title_fullStr | COMPARATIVE AND OPTIMUM ANALYSIS FOR NUMBER OF COLD STANDBY UNITS FOR A SYSTEM WORKING WITH ONE OPERATIVE UNIT AND TWO TYPES OF FAULTS |
| title_full_unstemmed | COMPARATIVE AND OPTIMUM ANALYSIS FOR NUMBER OF COLD STANDBY UNITS FOR A SYSTEM WORKING WITH ONE OPERATIVE UNIT AND TWO TYPES OF FAULTS |
| title_short | COMPARATIVE AND OPTIMUM ANALYSIS FOR NUMBER OF COLD STANDBY UNITS FOR A SYSTEM WORKING WITH ONE OPERATIVE UNIT AND TWO TYPES OF FAULTS |
| title_sort | comparative and optimum analysis for number of cold standby units for a system working with one operative unit and two types of faults |
| topic | cold standby unit(s) comparative analysis major/minor failure operative unit regenerative point technique |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/05/14193445/jmcms-2505043-COMPARATIVE-AND-OPTIMUM-ANALYSIS-PARVEEN.pdf |
| work_keys_str_mv | AT parveenkumar comparativeandoptimumanalysisfornumberofcoldstandbyunitsforasystemworkingwithoneoperativeunitandtwotypesoffaults AT gulshantaneja comparativeandoptimumanalysisfornumberofcoldstandbyunitsforasystemworkingwithoneoperativeunitandtwotypesoffaults AT anilkumartaneja comparativeandoptimumanalysisfornumberofcoldstandbyunitsforasystemworkingwithoneoperativeunitandtwotypesoffaults |