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Single Channel (queue), Single Phase (Server) queuing system A scenario for H & A Optical Centre is provided below. Arrival time refers to the time a patient arrives and consultation time is the time...

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Single Channel (queue), Single Phase (Server) queuing system

A scenario for H & A Optical Centre is provided below. Arrival time refers to the time a patient

arrives and consultation time is the time the patient spends time in the consultation room and does not involve the waiting time. It is assumed that the departure time of previous customer is the starting time of the next customer i.e. no time delay.


Customer Number

Arrival Time a.m

Consultation Time(min)

1

8.00

5.00

2

8.10

5.00

3

8.20

10.00

4

8.25

25.00

5

8.45

10.00

6

8.50

15.00

7

9.00

15.00

8

9.10

20.00

9

9.20

15.00

10

9.30

10.00


Perform a hand simulation and stop the simulation when all the patients have been served.

Calculate the following and determine whether there is a need to hire another consultant .

Hint : Create a table showing the arrival time, start time of service, duration of service, end time of service, waiting time.

i) What is the average waiting time of the patients before they are served?

ii) What is the maximum waiting time before being served ?

iii) How many patients will have completed their consultation by 9.00 am.?

iv) How long did the consultant rest during that morning (idle time)?


Answered 7 days After Aug 16, 2022

Solution

Swapnil answered on Aug 17 2022
77 Votes
Single Channel (queue), Single Phase (Server) queuing system.
A scenario for H & A Optical Centre is provided below. A
ival time refers to the time a patient a
ives and consultation time is the time the patient spends time in the consultation room and does not involve the waiting time. It is assumed that the departure time of previous customer is the starting time of the next customer i.e. no time delay.
    Customer Numbe
    A
ival Time A.M.
    Consultation Time(min)
    1
    8.00
    5.00
    2
    8.10
    5.00
    3
    8.20
    10.00
    4
    8.25
    25.00
    5
    8.45
    10.00
    6
    8.50
    15.00
    7
    9.00
    15.00
    8
    9.10
    20.00
    9
    9.20
    15.00
    10
    9.30
    10.00
A
ival Time A.M. = The a
ival time is given by following.
    A
ival Time A.M.
    8.00
    8.10
    8.20
    8.25
    8.45
    8.50
    9.00
    9.10
    9.20
    9.30
Start...
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