--%>

Explain Queuing theory

Queuing theory:

• Queuing theory deals with the analysis of lines where customers wait to receive a service:

– Waiting at Quiznos
– Waiting to check-in at an airport
– Kept on hold at a call center
– Streaming video over the net
– Requesting a web service

• A queue is formed when request for services outpace the ability of the server(s) to service them immediately

– Requests arrive faster than they can be processed (unstable queue)
– Requests do not arrive faster than they can be processed but their processing is delayed by some time (stable queue)

• Queues exist because infinite capacity is infinitely expensive and excessive capacity is excessively expensive Queuing Theory Hall of Fame: Erlang, Kendall, Little, Jackson, Buzen, Denning.

   Related Questions in Basic Statistics

  • 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 : Principles of data analysis For the

    For the data analysis project, you will address some questions that interest you with the statistical methodology we are learning in class. You choose the questions; you decide how to collect data; you do the analyses. The questions can address almost any topic,

  • Q : What is Inter-arrival times

    Inter-arrival times:A) Requests arrive randomly, often separated by small time intervals with few long separations among themB) The time until the next arrival is independent of when the last arrival occurredC) Coro

  • Q : Decision Variables Determine Decision

    Determine Decision Variables: Let X1 be the number of private homes to be inspectedLet X2 be the number of office buildings to be inspect

  • Q : State Kendalls notation

    Kendall’s notation:  A/B/C/K/m/Z A, Inter-arrival distribution M exponential D constant or determ

  • Q : STATISTICS Question This week you will

    This week you will analyze if women drink more sodas than men.  For the purposes of this Question, assume that in the past there has been no difference.  However, you have seen lots of women drinking sodas the past few months.  You will perform a hypothesis test to determine if women now drink more

  • Q : Problem on Model Checking Part (a).

    Part (a). Draw a state diagram for a car with the following state variables: D indicating whether the car is in drive; B indicating the brake pedal is depressed; G indicating the gas pedal is depressed; and M indicating whether the car is moving. (For example, the sta

  • 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 : Compute two sample standard deviations

    Consider the following data for two independent random samples taken from two normal populations. Sample 1 14 26 20 16 14 18 Sample 2 18 16 8 12 16 14 a) Com

  • Q : Assumptions in Queuing system

    Assumptions in Queuing system: • Flow balance implies that the number of arrivals in an observation period is equal to the