Chapter 13 MM1 and MG1 Flashcards

1
Q

waiting line is also known as

A

waiting queue

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2
Q

MM1 is what type of server and line

A

single server and single line

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3
Q

what is the parameter lambda and distribution it follows

A

this is the arrival rate and follows poisson

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4
Q

what is the parameter mue and distribution it follows

A

this is the service rate and follows negative exponential

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5
Q

for mm1 what is relation between mue and lambda (2)

A

mue must be > lambda and of the same units

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6
Q

What is not allowed in Queueing Model (3)

A

Bulking
Reneging
Jockeying

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7
Q

not allowed in any queueing model: Bulking

A

customer refuse to join line

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8
Q

not allowed in any queueing model: Reneging

A

customer enter a queue then leave before being served

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9
Q

not allowed in any queueing model: Jockeying

A

Customers switch from one queue to another queue to receive service quickly

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10
Q

Pw or U (4)

A

arriving unit has to wait to be served in system
server is busy in system
customer has to wait in system
average number of customers being served in system

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11
Q

Pw or U > 1

A

Queue grow without ending

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12
Q

Pw or U < 1

A

Queue grow on diminishing

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13
Q

Pw or U = 1

A

Queue length remains constant

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14
Q

Pn

A

Probability n customers in the queuing system

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15
Q

Lq

A

average number of customers in waiting line, queue length, waiting to be served

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16
Q

L

A

average number of units in system (waiting to be served)

17
Q

Wq

A

average time customer spends waiting in queue line to be served

18
Q

W

A

average wait time customer spends in total queuing system.

19
Q

Po

A

probability there are no customers in system

20
Q

MG1 Model main difference

A

service rate is not negative exponential distribution

21
Q

MG1 Service rate is (3)

A

undefined, arbitrary, unspecified

22
Q

Service rate distribution follows

A

mean mue and variance (sigma^2)

23
Q

If sigma is in question you know it is a ___model and not ____model

A

MG1 and not MM1

24
Q

What if the service rate is constant

A

then the standard deviation is zero.