My home uses two lightbulbs. On average, a lightbulb lasts for 22 days (Exponentially disturbed). When a lightbuld burns out, it takes me an average of 2 days (Exponentially disturbed) before I replacethe bulb. This problem can be formulated as a queueing system. Define the state of Queing system as the number of bulbs that are working Construct a rate diagram for the system Determine the Fraction of the time that both lightbulbs are working determine the expected number of bulbs that are working

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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My home uses two lightbulbs. On average, a lightbulb lasts for 22 days (Exponentially disturbed). When a lightbuld burns out, it takes me an average of 2 days (Exponentially disturbed) before I replacethe bulb. This problem can be formulated as a queueing system. Define the state of Queing system as the number of bulbs that are working

Construct a rate diagram for the system

Determine the Fraction of the time that both lightbulbs are working

determine the expected number of bulbs that are working

 

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