A TWO-UNIT STANDBY SYSTEM WITH TWO OPERATIVE MODES OF THE UNITS AND PREPARATION TIME FOR REPAIR
Keywords:
Regenerative point, Reliability, MTSF, Availability, Busy period of repairman, Net expected profit.Abstract
The paper deals with a stochastic behavior of a two-identical unit cold standby system model assuming three modes- normal, partially failure and total failure of the units. A totally failed unit needs some preparation work before going into repair and after completion of preparation, the unit is sent for repair. A partially failed unit may operate with reduced efficiency while it is undergoing repair. A single repairman plays the triple role -- the repair of partially failed unit, the preparation for repair of totally failed unit and repair of totally failed unit. The repair discipline is FCFS in respect of above three jobs. The various measures of system effectiveness are obtained by using regenerative point technique.
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References
Goel, L.R. and P. Gupta, “Stochastic analysis of a deteriorating standby system
with three modes and inspection”, Microelectron reliability, Vol-25, No. 2, pp.
-290 (1985).
Goel, L.R. and Rakesh Gupta, “Analysis of a two unit cold standby system with
three modes and imperfect switching device”, Microelectron reliability, Vol-
, No.3, pp. 425-429 (1984).
Goel, L.R., Rakesh Gupta and P.K. Tyagi “Analysis of a two- unit standby system
with preparation time and correlated failures and repairs”, Microelectron
reliability, Vol-35, No. 8, pp. 1163-1165 (1995).
Gupta, R. and Ram Krishan, “On profit comparison of two stochastic models each
pertaining to two unit standby system with fixed preparation time and hyper-
exponential repair time distribution”, Int. J. of Systems Science, 30(12),
pp.1309-1317 (1999).
Gupta, S.M., N.K. Jaiswal and L.R. Goel, “Reliability analysis of a two-unit cold
standby redundant system with two operating modes”, Microelectron
reliability, Vol-22, No. 4, pp. 747-758 (1982).
Gupta, S.M., N.K. Jaiswal and L.R. Goel, “Stochastic behavior of a standby
redundant system with three modes”, Microelectron reliability, Vol-23, No. 2,
pp. 329-331 (1983).
Mogha, A.K. and A.K. Gupta, “A two priority unit warm standby system model
with preparation for repair”, Aligarh J of Statistics, 22, 73-90 (2002).