Queuing Analysis and the PK Formula

Question 1

PK FORMULA

Answer 1

Helps calculate the average queue length (𝐼𝑞) when variability exists in arrivals and service times.

Question 2

Iq

Answer 2

Queue Length. Average number of items in the buffer waiting to be served.

Question 3

Tq

Answer 3

Waiting Time in Queue. The average time an item spends waiting in the queue.

Question 4

M/M/1 Queue

Answer 4

Random arrivals and service times. Single server, exponential arrivals and service.

Question 5

M/D/1 Queue

Answer 5

Single server, exponential arrivals, deterministic service.
Use when service times are fixed and predictable.
Every customer takes exactly the same amount of time for service

Question 6

G/G/1 Queue

Answer 6

Single server, general arrival and service distributions.
Use when variability is high in both arrivals and service.

Question 7

M/M/c Queue

Answer 7

Multiple servers, exponential arrivals and service.
Use for parallel processing systems like customer service desks.

Question 8

U

Answer 8

60 / minutes given

Question 9

Idle time

Answer 9

Time when an employee, machine, or resource is available for work but is not actively being used. It is essentially waiting time—when someone or something is not productive.

Question 10

Server Utilization

Answer 10

ρ= λ / μ
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Question 11

Idle Time of server

Answer 11

1 - Server utilization

Answer is percentage

Question 12

D / M / 1

Answer 12

Customers arrive at fixed time intervals (every 𝑇 minutes).

Service times are exponentially distributed (memoryless property).

FIFO (First-In-First-Out) discipline is used.

The system is stable if the service rate is greater than the arrival rate (ρ<1).

Question 13

λ = 0

Answer 13

Cada vez que te digan pre-packaged o que no hay queue landa is 0

Question 14

Iq for D/M/1 M/D/1

Answer 14

Iq = P2 / (1−P) × 1/2
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Question 15

Iq for G/G/1 M/M/1

Answer 15

Iq = p2 / 1-p