Question

Consider a system that can be modelled as an M/M/3 queuing system with an arrival rate...

Consider a system that can be modelled as an M/M/3 queuing system with an arrival rate of 8 parts per hour (on the average) and a processing time of 10 minutes (on the average). a.) Draw the steady state rate diagram for this system (you can stop at 5 or 6 nodes). Label the arrival and service rates on the diagram as is customary.

b) Is it a problem that the arrival rate is greater than the service rate? Why or why not?

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

Homework Answers

Answer #1

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
For an M/M/1/GD/∞/∞ queuing system with arrival rate λ = 16 customers per hour and service...
For an M/M/1/GD/∞/∞ queuing system with arrival rate λ = 16 customers per hour and service rate μ = 20 customers per hour, on the average, how long (in minutes) does a customer wait in line (round off to 3 decimal digits)?
Consider an M/M/2/3 capacitated queueing system with the arrival rate of 3 customers per hour and...
Consider an M/M/2/3 capacitated queueing system with the arrival rate of 3 customers per hour and the service rate of 2 customers per hour. a. Calculate the steady-state distribution of the number of customers in the system. b. Calculate L, Lq, Effective arrival rate, W and Wq.
A simple queueing system has an arrival rate of 6 per hour and a service rate...
A simple queueing system has an arrival rate of 6 per hour and a service rate of 10 per hour. For this system the average time in line has been estimated to be 20 minutes. Using Little’s Law estimate the following: Average time in the queueing system Average number of customers in the queueing system Average number of customers in the queue Average number of customers in service.
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...
1) The arrival rate at the second server in a two stage serial queuing system is...
1) The arrival rate at the second server in a two stage serial queuing system is Same as arrival rate at server 1 Minimum of service rate and arrival rate at server 1 Cannot be determined 2) Which of the following pertains to an efficient supply chain? It deals with innovative products The product life cycle will be short It is worthwhile to invest in good forecasting systems All of the above 3)Which of the following costs do not come...
in an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service...
in an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service rate is 14 customers per hour. What is the utilization? (Round your answer to 3 decimal places.) What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.) What is the expected number of...
Arrival Rate = 1/50 = 0.02 calls hour. Service Rate= 1 hour (travel time) + 1.5...
Arrival Rate = 1/50 = 0.02 calls hour. Service Rate= 1 hour (travel time) + 1.5 hour (repair time) =2.5 hours With m = 1/ 2.5 = 0.4 hours per customers ** PLEASE SHOW HOW TO DO EQUATION ** OEI is satisfied that one service technician can handle the 10 existing customers. Use a waiting line model to determine the following information: (a) probability that no customers are in the system, (b) average number of customers in the waiting line,...
n an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service...
n an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service rate is 14 customers per hour. What is the utilization? (Round your answer to 3 decimal places.) What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.) What is the expected number of...
A supermarket has three cashiers. The supermarket manager implements a policy that if there are 1...
A supermarket has three cashiers. The supermarket manager implements a policy that if there are 1 to 3 customers in the supermarket, then only one cashier is on duty. If there are 4 to 6 customers in the supermarket then two cashiers will be on duty. The three cashiers will be on duty if there are more than 6 customers in the supermarket. The arrival of customers to the supermarket follows the Poisson process with a rate of 10 people...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT