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WorksheetsUNIT IV - QUEUEING MODELS
Total questions: 20
Worksheet time: 10mins
Which of the following characteristics apply to the queueing system
a) customer population
b) arrival process
both a) and b)
neither a) nor b)
If the operating characteristics of a queue are dependent on time, then state is said to be:
Steady-state
transient state
busy state
explosive state
Which of the following is not a key operating characteristic for a queueing system
utilization factor
percent idle time
average time spent waiting in the system and queue
none of the above
Priority queue discipline may be classified as
finite or infinite
limited and unlimited
pre-emptive or non-pre-emptive
all of the above
Which of the cost estimates and performance measures are not used for economic analysis of a queueing system
cost per server per unit of time
cost per unit time for a customer waiting in the system
the average number of customers in the system
average waiting time of customers in the system
Which of the following letter not describes the inter-arrival time distribution
D
M
G
C
A calling population is considered to be infinite when
all customers arrive at once
arrivals are independent of each other
arrivals are independent upon each other
the capacity of the system is infinite
Service mechanism in a queueing system is characterized by which of the following parameter
server’s behavior
customer’s behavior
number of customer’s in the system
all the above
Which of the following relationships is not true
Ws=Wq+1/μ
Ls=λWs
Ls=Lq+1/λ
Lq=λWq
In single and multiple server queueing models, the expected length of the non-empty queue is given by
L=μ/(μ-λ)
L=sμ/(sμ-λ)
L=λ/(μ-λ)
L=λ/(μ-λ) +(1/μ)
(M/M/s): (k/FIFO) the following does not apply
poisson arrival
finite capacity
exponential service
single server
The dead bodies coming to a burial ground is an example of
Pure birth process
Pure death process
Pure birth and death process
constant rate of arrival
The system of loading and unloading of goods usually follows:
FIFO
LIFO
SIRO
SBP
A steady-state exist in a queue if
λ>μ
λ<μ
λ greater than or equal to μ
λ less than or equal μ
A person who leaves the queue by losing his patience to wait is said to be
balking
reneging
jockeying
collusion
Customer behavior in which the customer moves from one queue to another in a multiple channel situation is
balking
reneging
jockeying
alternating
The characteristics of a queueing model are independent of
number of servers
limit of the length of queue
service pattern
queue discipline
The queueing model measures the effect of
random arrivals
random service
uncertainty on the behavior of the queueing system
length of queue
Traffic intensity is given by
μ/λ
λ × μ
mean arrival rate/mean service rate
number present in the queue/number served
In (M/M/1) : (∞/FIFO) model, the length of the system is given by:
1−⍴⍴2
1−⍴⍴
μ−λλ2
μ(μ−λ)λ2
