Suppose customers arrive to a single server at the rate of 1/2 customers per minute. The capacity of the server is 1/3 customers per minute. Both service time and interarrival times are assumed to be exponential. Suppose the system is initially empty. As the system unfolds, its inventory (in process and waiting) will: (a) reach a long-run average of 3 customers (b) reach a long-run average of 2 customers (c) stay in the system an average of 6 minutes (d) grows unboundedly in the long-run (e) None of the above
Suppose customers arrive to a single server at the rate of 1/2 customers per minute. The capacity of the server is 1/3 customers per minute. Both service time and interarrival times are assumed to be exponential. Suppose the system is initially empty. As the system unfolds, its inventory (in process and waiting) will: (a) reach a long-run average of 3 customers (b) reach a long-run average of 2 customers (c) stay in the system an average of 6 minutes (d) grows unboundedly in the long-run (e) None of the above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose customers arrive to a single server at the rate of 1/2 customers per minute. The capacity
of the server is 1/3 customers per minute. Both service time and interarrival times are assumed
to be exponential. Suppose the system is initially empty. As the system unfolds, its inventory (in
process and waiting) will:
(a) reach a long-run average of 3 customers
(b) reach a long-run average of 2 customers
(c) stay in the system an average of 6 minutes
(d) grows unboundedly in the long-run
(e) None of the above
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