Question

queuing System is described as follow: 1-      the system character the both interarrival times and service times...

queuing System is described as follow:

  1. 1-      the system character the both interarrival times and service times are exponential,
  2. 2-      single server
  3. 3-      queue discipline is general queue discipline
  4. 4-   infinite queue length
  5. 5-   infinite population

The system is:

Business   Operations-Management   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

A queuing system notation is described by , where

represents inter-arrival time distribution

represents service rate distribution

represents number of parallel servers

is the system capacity

is the size of the calling population

Since, here both inter-arrival and service times are exponential, only one server is present and system capacity (queue length) and population size are infinite,

The system is , which is equivalent to

system.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.An M/M/1 system denotes a single server queuing system with exponential arrival and Poisson service time...
1.An M/M/1 system denotes a single server queuing system with exponential arrival and Poisson service time distributions. True or False 2.An iterative group process that allows experts, who may be located in different places, to make forecasts is referred to as: A A jury of executive opinion B A sales force composite C Consumer market survey D The Delphi method E Trend analysis 3.As service levels increase, the cost of providing service also increases, but the cost of customer dissatisfaction...
Consider a waiting line system with the following parameters: number of servers = 4 customer arrival...
Consider a waiting line system with the following parameters: number of servers = 4 customer arrival rate = 7 per minute customer service rate (per server) = 2 per minute coefficient of variation of interarrival times = 0.8 coefficient of variation of service times = 0.6 Find the expected length of the waiting line. (Do not assume Poisson arrivals and exponential service times). (Provide two significant digits to the right of the decimal point)
1. Stacks of paper arrive at a trimming process with interarrival times of EXPO (10); all...
1. Stacks of paper arrive at a trimming process with interarrival times of EXPO (10); all time are in minutes and the first stack arrives at time 0. There are two trimmers, a primary and a secondary. All arrivals are sent to the primary trimmer. If the queue in front of the primary trimmer is shorter than ten, the stack of paper enters that queue to wait to be trimmed by the primary trimmer, an operation of duration TRIA (9,...
QUESTION 1 (Queing Analysis) A movie theater ticket booth has a mean arrival rate of 5...
QUESTION 1 (Queing Analysis) A movie theater ticket booth has a mean arrival rate of 5 persons every minute and the service rate is 6 persons per minute. Assuming that arrivals are Poisson distributed and service times are exponentially distributed, and that steady-state conditions exist, calculate the following characteristics of this queuing system applying the FIFO M/M/1 model: a) Utilization ratio (or traffic intensity) b) The average number of people in the system c) The average length of the queue...
Consider a queuing system in which the number of servers is adjusted depending on the number...
Consider a queuing system in which the number of servers is adjusted depending on the number of customers currently in the system. You see this routinely in many businesses – from coffee shops to restaurants to grocery stores – where additional employees are called in whenever the number of people in the system reaches some integer value. For example, if the number of people in the system is 10 or more, a second server is called up, and this doubles...
Customers arrive at a two-server system according to a Poisson process having rate λ = 5....
Customers arrive at a two-server system according to a Poisson process having rate λ = 5. An arrival finding server 1 free will begin service with that server. An arrival finding server 1 busy and server 2 free will enter service with server 2. An arrival finding both servers busy goes away. Once a customer is served by either server, he departs the system. The service times at server i are exponential with rates µi, where µ1 = 4, µ2...
(Lesson   3.4:   Single-Server   Queue.)   Consider   a   single-server   Q   with   LIFO   (last-in-firstout)   services.    &nbs
(Lesson   3.4:   Single-Server   Queue.)   Consider   a   single-server   Q   with   LIFO   (last-in-firstout)   services.       Suppose   that   three   customers   show   up   at   times   5,   6,   and   8,   and   that   they all   have   service   times   of   4.       When   does   customer   2   leave   the   system?
A fast-food franchise is considering operating a drive-up window food-service operation. Assume that customer arrivals follow...
A fast-food franchise is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poisson probability distribution, with an arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered: System A: A single-server operation...
On average, 90 patrons arrive per hour at a hotel lobby (interarrival times are exponential) waiting...
On average, 90 patrons arrive per hour at a hotel lobby (interarrival times are exponential) waiting to check in. At present there are five clerks, and patrons wait in a single line for the first available clerk. The average time for a clerk to service a patron is three minutes (exponentially distributed). Clerks earn $10 per hour, and the hotel assesses a waiting time cost of $20 for each hour that a patron waits in line. If needed, round your...
Question 1 A bank branch has two automatic teller machines (atms) that are accessible at all...
Question 1 A bank branch has two automatic teller machines (atms) that are accessible at all times (even when the branch is closed). Customers arrive at the ATMs at a rate of 30 customers per hour with exponentially distributed interarrival times. Each customer spends an average of 3 minutes to complete the service, where service time is also exponential. When the branch is open, arriving customers refuse to join the ATM queue if it has 3 people or more waiting,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT