Advances and Applications in Statistics
Volume 65, Issue 1, Pages 143 - 150
(November 2020) http://dx.doi.org/10.17654/AS065010143 |
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A COMPARATIVE ANALYSIS BETWEEN A MODEL OF MULTIPLE COMPONENTS WITH A SINGLE REPAIRMAN AND A MODEL OF MULTIPLE COMPONENTS WITH MANY REPAIRMEN
Yaqoob Al Rahbi
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Abstract: This paper presents a comparative analysis between the two models (Model I and Model II) in aluminum industry. In both the models, there are eight operators with 16 states. The 1st operator consists of three components. The 2nd operator has two standby stations and each station has two components. Each of the 3rd operator, 4th operator and 8th operator has one component. The 5th operator and 6th operator have two components each and the 7th operator has four components. Manufacturing process of raw aluminum blocks in this system passes through the eight operators. Failure of any of the operators brings the system to a complete halt, except the 2nd operator because of the parallel standby arrangement, and does not affect the system operation completely unless both the components of this operator fail. Model I presents reliability analysis of the system in the industry with multiple components and with a single repairman, assuming only a repairman works with the system and any failure should wait until the repairman finishes the repair from the previous failure. Meanwhile, Model II presents reliability analysis of the system with multiple components and multiple repairmen.
Measures of system effectiveness is gauged through reliability indices such as mean time to failure for the system (MTSF), availability of the system, busy period of repairman and expected number of repairs. Effect of repair and failure rates and repair cost on system performance with respect to revenue have been shown graphically. The regenerative point and semi-Markov processes are used for the study of academic analysis. |
Keywords and phrases: reliability, regenerative point, failure, repair, semi-Markov.
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