Chapter 7 Variability and Waiting Time Problems Part II
Chapter 7 Variability and Waiting Time Problems Part II
Chapter 7 Variability and Waiting Time Problems Part II
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The <strong>Waiting</strong> <strong>Time</strong> Formulaflow rate 1/ a putilizatio n = = = < 100%capacity 1/ p a2 2⎛ utilization ⎞ ⎛ CV + ⎞in queue = Activity <strong>Time</strong> × ⎜⎟× ⎜ aCV<strong>Time</strong>p⎟⎝1−utilization ⎠⎝ 2 ⎠Average flowtime TIncreasing<strong>Variability</strong>Service time factorUtilization factor<strong>Variability</strong> factorUtilization 100%3Multiple, Parallel Resources with One QueueInventoryin service I pInflowInventorywaiting I qOutflowFlow rateEntry to system Begin Service Departure<strong>Time</strong> in queue T q Service <strong>Time</strong> pFlow <strong>Time</strong> T=T q+p4