IV. APPLICATION AND ANALYSIS ON QUEUING THEORY. Direction: Given the following assumptions, derive the answer/s for each question. In answering the questions, copy the questions into the Output Area and write your answers after each question. Assumptions: Mean Arrival Rate (2) = 3 customers/hour Number of Ser ver s (C ) = 1 Mean Service Rate (U) = 4 customers/hour %3D 1. Calculate and determine the Occupation Rate. (p) 2. What is the average number in system average (L)? 3. Determine the average system in system (W).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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IV. APPLICATION AND ANALYSIS ON QUEUING THEORY.
Direction: Given the following assumptions, derive the answer/s for each question.
In answering the questions, copy the questions into the Output Area and write your answers after each question.
Assumptions:
Mean Arrival Rate (2) = 3 customers/hour
Number of Ser vers (C ) = 1
Mean Service Rate (U) = 4 customer s/hour
1.
Calculate and determine the Occupation Rate. (p)
2.
What is the average number in system average (L)?
3.
Determine the average system in system (W).
4.
What is the average time in queue (Wq)?
5.
Determine the length of queue (Lq).
Capacity Demand
p =
Available Capacity u
=-
L=p/(1- p)
Lq= p2/(1- p) = L-p
W=LA=1/(u- 2)
We-Lψλ- λ( μ(μ- λ)
Transcribed Image Text:IV. APPLICATION AND ANALYSIS ON QUEUING THEORY. Direction: Given the following assumptions, derive the answer/s for each question. In answering the questions, copy the questions into the Output Area and write your answers after each question. Assumptions: Mean Arrival Rate (2) = 3 customers/hour Number of Ser vers (C ) = 1 Mean Service Rate (U) = 4 customer s/hour 1. Calculate and determine the Occupation Rate. (p) 2. What is the average number in system average (L)? 3. Determine the average system in system (W). 4. What is the average time in queue (Wq)? 5. Determine the length of queue (Lq). Capacity Demand p = Available Capacity u =- L=p/(1- p) Lq= p2/(1- p) = L-p W=LA=1/(u- 2) We-Lψλ- λ( μ(μ- λ)
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