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
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
icon
Related questions
Question
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)
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning