Probabilistic Analysis of a Two-Unit System with a Warm Standby and a Single Repair Facility

Srinivasan, S. K.; Gopalan, M.N.

doi:10.1287/opre.21.3.748

Cited by 44 publications

(6 citation statements)

References 3 publications

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“…The warm standbys components can have lower failure rate than the failure rate of the primary components. The reliability of a two unit warm standby system with an exponential failure time distribution and two types of general repair time distributions of the operating unit and of the standbys has been studied by Srinivasan and Gopalan [118]. Kumagi [85] considered reliability analysis for single server queueing system with n-type of warm standby.…”

Section: Queueing Models With Warm Standbysmentioning

confidence: 99%

Survey on queueing models with standbys support

Kolledath

Kumar

Pippal³

2018

YUGOSLAV J OPERATION

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This paper is a survey article on queueing models with standbys support. Due to many real life applications of queueing models, it has become an interesting area for researchers and a lot of research work has been exerted so far. It is worthwhile to examine the performance based analysis for queueing modelling system as it provides a valuable insight to the tractability of the system and accelerates its efficiency. The provision of standbys to the queueing modelling of a real system is needed for smooth functioning in the presence of its unavoidable failures. The present survey provides a dig into the research work done, and emphasis the sequential developments on queueing models with standbys support.

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Section: Queueing Models With Warm Standbysmentioning

confidence: 99%

Survey on queueing models with standbys support

Kolledath

Kumar

Pippal³

2018

YUGOSLAV J OPERATION

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“…Sharma and Agarwal [11] put forth the concept of effectiveness analysis of a system with a special warranty scheme. Further, Srinivasan and Gopalan [9] analyzed the probabilistic analysis of a two-unit system with a warm standby and a single repair facility. Bhatia, Roosel and Gulshan [6] worked on probabilistic analysis of an automatic power factor controller with variation in Power Factor.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Single Unit Model with Controlled and Uncontrolled Demand Factor and Inspection Policy Available in the System

Bashir¹

2016

IJCTS

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The present paper deals with reliability analysis of a system comprises of a single unit. Initially system is in operative state with controlled demand factor i.e. when demand is less or equal to production then it may transit to the state with uncontrolled demand factor i.e. when demand is greater than production. The system remains in upstate with demand factor controlled and uncontrolled while in down state on failure of the unit. On failure of the system, an inspection is carried to detect the type of failure. There are three types of failures, i.e. failure due to poor design of component, improper selection of material and human error. Single repair facility is available to repair the system. The failure time distributions of the unit are taken as exponential and inspection time of the unit is also taken as exponential. The distribution of time to repair of unit is assumed to be general. The various important measures of system effectiveness have been obtained and studied.

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“…A lot of work has been done on reliability and cost analysis of various systems by various researchers including [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] who have analyzed these systems by considering various concepts like the Erlangian repair time, operating and rest periods, hardware/software faults, congestion of calls, availability, two types of repair facility, human failure, regenerative point technique, priority repair discipline, instruction, accident, patience time, chances of nonavailability of expert repairman, one big unit and two small identical units with priority for operation/repair to big unit, patience time, partial failures, and optimized maintenance of the diesel system in locomotives. In all such studies, the demand was fixed.…”

Section: Introductionmentioning

confidence: 99%

“…Failure rate of the operative unit 11 : Rate of increase of demand when demand is greater than the production made by one unit and less than or equal to production made by two units ( 1 < ≤ 2 ) 12 : Rate of decrease of demand so as to become less than or equal to production made by one unit ( ≤ 1 )…”

mentioning

confidence: 99%

Stochastic Analysis of a Two-Unit Cold Standby System Wherein Both Units May Become Operative Depending upon the Demand

Malhotra

Taneja

2014

Journal of Quality and Reliability Engineering

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The present paper analyzes a two-unit cold standby system wherein both units may become operative depending upon the demand. Initially, one of the units is operative while the other is kept as cold standby. If the operative unit fails or the demand increases to the extent that one operative unit is not capable of meeting the demand, the standby unit becomes operative instantaneously. Thus, both units may become operative simultaneously to meet the increased demand. Availability in three types of upstates is as follows: (i) when the demand is less than or equal to production manufactured by one unit; (ii) when the demand is greater than whatever produced by one unit but less than or equal to production made by two units; and (iii) when the demand is greater than the produces by two units. Other measures of the system effectiveness have also been obtained in general case as well as for a particular case. Techniques of semi-Markov processes and regenerative processes have been used to obtain various measures of the system effectiveness. 1 ( ) = ((1 − 3 22 * ( )) − 02 * ( ) 20 * ( )) × [ (1 − 9 66 * ( )) × (1 − 10 77 * ( ) − 57 * ( ) 75 * ( )) − 15 * ( ) 51 * ( ) (1 − 10 77 * ( )) Journal of Quality and Reliability Engineering 7 + (1 − 10 77 * ( )) × (− 16 * ( ) ( 51 * ( ) 8 65 * ( ) + 16 * ( ))) − 75 * ( ) 16 * ( ) × ( (8,10) 67 * ( ) + (9,10) 67 * ( )) + 61 * ( ) 57 * ( )] + 10 * ( ) × [(1 − 9 66 * ( )) × ((1 − 10 77 * ( )) − 57 * ( ) 75 * ( )) × ( 01 * ( ) (1 − 3 22 * ( )) + 02 * ( ) 4 21 * ( )) + 02 * ( ) (1 − 10 77 * ( )) × ( ( 51 * ( ) 8 65 * ( ) + 61 * ( )) + ( (3,9) 26 * ( ) + (4,9) 26 * ( )) + (1 − 9 66 * ( )) (4,8) 25 * ( ) 51 * ( )) − 51 * ( ) 75 * ( ) ( (8,10) 67 * ( ) + (9,10) 67 * ( )) × ( (3,9) 26 * ( ) + (4,9) 26 * ( )) − 51 * ( ) 75 * ( ) × (1 − 9 66 * ( ))

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Probabilistic Analysis of a Two-Unit System with a Warm Standby and a Single Repair Facility

Cited by 44 publications

References 3 publications

Survey on queueing models with standbys support

Survey on queueing models with standbys support

Analysis of a Single Unit Model with Controlled and Uncontrolled Demand Factor and Inspection Policy Available in the System

Stochastic Analysis of a Two-Unit Cold Standby System Wherein Both Units May Become Operative Depending upon the Demand

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