--%>
Assignment Help - homework help

Quantities in a queuing system

Quantities in a queuing system:

1242_quantities in queuieg.jpg

A: Count of arrivals into system throughout measurement period T

Ak: Count of arrivals into queue k throughout  measurement period T

C: Count of global system completions throughout  the period T

Ck: Count of completions which departed the queue k during T

Vk: Count of repeated visits to the server k throughout  T

λk: Arrival rate at resource k = Ak / T

R: Mean time in system (residence time)

L: Average number of requests in system

W: Mean time in queue (that is, waiting time)

Lq: Average number of waiting to be served

S: Mean service time per completed job

X: Throughput

T: Total measurement period or observation time

K: Total number of queuing nodes k in system

   Related Questions in Basic Statistics

  • Q : Variance and standard error A hospital

    A hospital treated 412 skin cancer patients over a year. Of these, 197 were female. Give the point estimate of the proportion of females seeking treatment for skin cancer. Give estimates of the

    		•
  • Q : What is Interactive Response Time Law

    Interactive Response Time Law: • R = (L/X) - Z• Applies to closed systems.• Z is the think time. The time elapsed since&nb

    		•
  • Q : Building Models Building Models • What

    Building Models • What do we need to know to build a model?– For model checking we need to specify behavior • Consider a simple vending machine – A custome rinserts coins, selects a beverage and receives a can of soda &bul

    		•
  • Q : Define Operational Analysis

    Operational Analysis: • Analysis method based on the measurement of the operational characteristics of the system.

    Q : Cumulative Frequency and Relative

    Explain differences between Cumulative Frequency and Relative Frequency?

    		•
  • Q : Explain Service times Service times: A)

    Service times:A) In most cases, servicing a request takes a “short” time, but in a few occasions requests take much longer.B) The probability of completing a service request by time t, is independent of how much tim

    		•
  • Q : Time series what are the four

    what are the four components of time series?

    		•
  • Q : Average think time Software monitor

    Software monitor data for an interactive system shows a CPU utilization of 75%, a 3 second CPU service demand, a response time of 15 seconds, and 10 active users. Determine the average think time of these users?

    		•
  • Q : Define SPIN simulation modes SPIN: •

    SPIN: • SPIN generates C program that is the model checker – The pan verifier • Process Analyzer – Run the pan executable to do the model check

    		•
  • Q : Probability how can i calculate

    how can i calculate cumulative probabilities of survival

    		•