Research Article

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

Table 1


Fixed parameterVaried parameterProfit
PositiveNegativeZero (cut-off point)

= 0.235/hr, = 0.07/hr, = 0.4213/hr, = 0.353/hr, = INR 7000, = INR 1000, = INR 200, = INR 100,
= INR 400
α = 0.6/hrλ < 0.0598λ > 0.0598λ = 0.0598
α = 1.1/hr,λ < 0.0796λ > 0.0796λ = 0.0796
α = 1.6/hrλ < 0.0943λ > 0.0943λ = 0.0943

= 0.235/hr, = 0.07/hr, = 0.4213/hr, = 0.353/hr, /hr, λ = 0.003/hr,   = INR 1000, = INR 200, = INR 400 = INR 2400 > 395.00 < 395.00 = 395.00
= INR 2500 > 530.00 < 580.02 = 530.00
= INR 2600 > 690.00 < 690.00 = 690.00

= 0.235/hr, = 0.07/hr, = 0.4213/hr, = 0.353/hr, α = 1/hr, λ = 0.003/hr, = INR 7000, = INR 200, = INR 400 = INR 1800 > 224.57 < 224.57 = 224.57
= INR 2200 > 387.34 < 387.34 = 387.34
= INR 2600 > 597.31 < 597.31 = 597.31

= 0.235/hr, = 0.07/hr, = 0.4213/hr, = 0.353/hr, α = 1/hr, λ = 0.003/hr, = INR 7000, = INR 1000, = INR 400 = INR 1800 > 298.12 < 298.12 = 298.12
= INR 2200 > 399.13 < 399.13 = 399.13
= INR 2600 > 527.82 < 527.82 = 527.82

= 0.235/hr, = 0.07/hr, = 0.4213/hr, = 0.353/hr, α = 1/hr, λ = 0.003/hr, = INR 1000, = INR 200, = INR 100 = INR 3000 > 495.63 < 495.63 = 495.63
= INR 3100 > 580.02 < 580.02 = 580.02
= INR 3200 > 745.19 < 745.19 = 745.19

γ 11 = 0.235/hr, = 0.07/hr, γ21 = 0.4213/hr, γ22 = 0.353/hr, α = 1/hr, λ = .003/hr, = INR 7000, = INR 200, = INR 100 = INR 3000 > 422.09 < 422.09 = 422.09
= INR 3200 > 498.12 < 498.12 = 498.12
= INR 3400 > 599.02 < 599.02 = 599.02

= 0.235/hr, = 0.07/hr, = 0.4213/hr, = 0.353/hr, α = 1/hr, λ = 0.003/hr, = INR 7000, = INR 1000, = INR 100 = INR 1800 > 298.79 < 298.79 = 298.79
= INR 2400 > 448.07 < 448.07 = 448.07
= INR 3000 > 599.13 < 599.13 = 599.13