queue
Program Performance.xls
Directions: click on the Change Inputs/Run button
Input Parameters Change Utilization Table
Input (Arrival) Rate R i 0.23 Inputs/Run Total Number of Fraction of
Activity (Service) Time T p = 1/R p 3.00 Servers Occupied Time
Number of Servers c 1 0 36.75%
Buffer Capacity K 3 1 63.25%
note: c and K should be integers. Also, keep K reasonable (< 100). Average Utilization 63.25%
Results
Probability of blocking P b 8.3%
Probability of waiting (if not blocked) P w 59.9%
Average queue length I i 0.666
Average wait for those jobs who do wait T iw 5.274
Overall average wait T i = P w * T iw 3.160
Overall average time in the system T = T i + T p 6.160
Overall average inventory (jobs) in the system I 1.299
QueuMMcK, developed by Stanford University,
adapted by Jan A. Van Mieghem 10/10/96. This version: Dec 2, 2002.
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Table of Results
Table of Results
Total number of experiments: 1
Arrival Service # of Buffer Average Probability Probability Average Overall Average Average
Rate Time Servers Capacity Utilization of blocking of waiting queue Average flow time Inventory
(if not length wait
blocked)
Experiment Ri Tp c K r P(block) P(wait) Ii Ti T I
1 2 1 1 10 99.98% 5.00E-01 99.95% 9.00 9.005 10.01 10.00293
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