Question

Case Study: Pantry Shop (modified) Customers arrive at the Pantry Shop store at a rate of...

Case Study: Pantry Shop (modified)

Customers arrive at the Pantry Shop store at a rate of 3 per minute and the Poisson distribution accurately defines this rate. A single cashier works at the store, and the average time to serve a customer is 15 seconds, and the exponential distribution may be used to describe the distribution of service times.

  1. What are λ and μ in this situation?
  2. Using Kendall notation, what type of queuing system is this?
  3. How many minutes does the average customer spend waiting in line?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Customers arrive at a shop at the rate of 7 per 10-minute interval. what is the...
Customers arrive at a shop at the rate of 7 per 10-minute interval. what is the probability that we need to wait at least 10 minutes before the next customer arrives at the shop? Obtain the probability using Poisson distribution and Exponential distribution.
In a grocery store, there is one cashier counter. Customers arrive at the cashier counter according...
In a grocery store, there is one cashier counter. Customers arrive at the cashier counter according to a Poisson process. The arrival rate is 30 customers per hour. The service time is exponentially distributed. The mean service time is 1 minute 30 seconds. 1. What is the expected number of customers waiting in the system. 2. What is the expected waiting time.( unit in minutes) 3. What is the utilization rate (unit in %) of the cashier?
Customers arrive to a single server system in accordance with a Poisson pro- cess with rate...
Customers arrive to a single server system in accordance with a Poisson pro- cess with rate λ. Arrivals only enter if the server is free. Each customer is either a type 1 customer with probability p or a type 2 customer with probabil- ity 1 − p. The time it takes to serve a type i customer is exponential with rate μi , i = 1, 2. Find the average amount of time an entering customer spends in the system.
Customers arrive at coffee shop at a rate of 40 per hour. There are 2 servers...
Customers arrive at coffee shop at a rate of 40 per hour. There are 2 servers available and it takes an average of 1 minute to serve each customer. Using Table 12-6, what is the probability of no customers in the system? 0.333 0.5 0.667 0
A large bank branch employs 5 tellers to serve its customers. Customers arrive according to a...
A large bank branch employs 5 tellers to serve its customers. Customers arrive according to a Poisson process at a mean rate of 3 per minute. The transaction time between the teller and customer has an exponential distribution with a mean of 1 minute. The management has established the following guidelines for the satisfactory level of service to customers: The average number of customers waiting in line to begin service should not exceed 1. At least 95% of the time,...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per hour, and the arrivals follow a Poisson distribution. Joe, the stand owner, works alone and takes an average of 0.857 minutes to serve one customer. Assume that the service time is exponentially distributed. a) What is the average number of people waiting in queue and in the system? (2 points) b) What is the average time that a customer spends waiting in the queue...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per hour, and the arrivals follow a Poisson distribution. Joe, the stand owner, works alone and takes an average of 0.857 minutes to serve one customer. Assume that the service time is exponentially distributed. a) What is the average number of people waiting in queue and in the system? (2 points) b) What is the average time that a customer spends waiting in the queue...
Customers arrive at a grocery store at an average of 2.2 per minute. Assume that the...
Customers arrive at a grocery store at an average of 2.2 per minute. Assume that the number of arrivals in a minute follows the Poisson distribution. Provide answers to the following to 3 decimal places. What is the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute?
(4) In a shop there are two cashiers (A and B) with a single queue for...
(4) In a shop there are two cashiers (A and B) with a single queue for them. Customers arrive at the queue as a Poisson process with rate λ, and wait for the first available cashier. If both cashiers are available, they pick one equally likely. Each cashier finishes with a customer after an exponential waiting time, with parameters µa and µb for cashier A and B, respectively. Assume that λ < µa+µb. (a) Formulate a Markov chain model with...
Customers arrive at a suburban ticket outlet at the rate of 3 per hour on Monday...
Customers arrive at a suburban ticket outlet at the rate of 3 per hour on Monday mornings. This can be described by a Poisson distribution. Selling the tickets and providing general information takes an average of 10 minutes per customer, and varies exponentially. There are 3 ticket agents on duty on Mondays. On Average, how much time does a customer spend Waiting in Line? Question 5 options: .001 .167 .0005 .1837 None of the Answers Listed is Correct
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT