|
Cutomer Number |
Arrival time |
Cashier 1 |
Cashier 2 |
Cashier 3 |
Cashier 4 |
Cashier 5 |
Wait Time |
Total Time |
|
1 |
0 |
|||||||
|
2 |
20 |
|||||||
|
3 |
30 |
|||||||
|
4 |
40 |
|||||||
|
5 |
50 |
|||||||
|
6 |
60 |
|||||||
|
7 |
70 |
|||||||
|
8 |
80 |
|||||||
|
9 |
90 |
|||||||
|
10 |
100 |
|||||||
|
11 |
120 |
|||||||
|
12 |
130 |
|||||||
|
13 |
140 |
|||||||
|
14 |
150 |
|||||||
|
15 |
160 |
|||||||
|
16 |
180 |
|||||||
|
17 |
190 |
|||||||
|
18 |
200 |
|||||||
|
19 |
220 |
|||||||
|
20 |
240 |
|||||||
|
21 |
250 |
|||||||
|
22 |
300 |

System wait time is going up. If this system were to continue, customer wait time would continue to increase without bond.
Example is Standing in line at store check out or a waiting list to join a club.
Hand trace the ticket counter problem for 22 customers and 5 cashiers (Each customer is identical,...
An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering adding a third agent. Arrivals are spaced at an average of 4 minutes, Poisson distribution. An agent spends about 5 minutes per customer, exponentially distributed. All other appropriate assumptions hold. Make sure you solve for the correct performance measure using the correct equations. Solving for an incorrect performance measure will result in zero points. Solving for more than one performance measure and not indicating...
C PROGRAM: In this assignment, you will use the concept of POSIX threads, semaphores and mutex locks. Consider a very small bank: XYZ. This bank has only one cashier (aka bank teller or customer representative) and a small waiting room for any incoming customers while the cashier is busy with other customer. There is a sofa which can only hold 5 people at maximum. The cashier can only serve one customer at any time. When the cashier is serving one...
Consider a simple queuing system in which customers arrive randomly such that the time between successive arrivals is exponentially distributed with a rate parameter l = 2.8 per minute. The service time, that is the time it takes to serve each customer is also Exponentially distributed with a rate parameter m = 3 per minute. Create a Matlab simulation to model the above queuing system by randomly sampling time between arrivals and service times from the Exponential Distribution. If a...
Question 2 Customers arrive at the checkout counter (shown in the figure below) at random from 1 to 8 minutes apart. Each possible value of inter-arrival time has the same probability of occurrence, as shown in Table 2.6. The service times vary from 1 to 6 minutes with the probabilities shown in Table 2.7. Departure Arrival Checkout Counter Table 26 Distribution of TIme Between Amivals Time baweerm Arrivals Table 27 Service-Time Distribution Minutesy) Prohablity Service Tme 0.125 0.125 0.125 125...
Office Equipment, Inc. (OEI) leases automatic mailing machines to business customers in Fort Wayne, Indiana. The company built its success on a reputation of providing timely maintenance and repair service. Each OEI service contract states that a service technician will arrive at a customer’s business site within an average of three hours from the time that the customer notifies OEI of an equipment problem. Currently, OEI has 10 customers with service contracts. One service technician is responsible for handling all...
Waiting lines Customers walk in at random to a deli. The interarrival times are exponentially distributed with an average of 5 minutes. The deli prepares one order at a time. The order preparation times are exponentially distributed with an average of 3 minutes. 13. What kind of waiting line model is appropriate for the deli? 14. What is the utilization? 15. What is the total amount of time a customer would expect to spend at the deli (from walking in...
QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 16 customers per hour. Which of the following is most likely true, based on this information: a. The hair salon serves customers on a walk-in basis (rather than by appointment times) b. If 10 customers arrive in the first hour, it is likely that 22 customers will arrive in the next hour. c. If the salon can serve an average of 20 customers...
A fast food franchise is considering a drive-up window food-service operation. Assume that customer arrivals follow a Poisson probability distribution with a mean 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 up to the service window to pay for and receive their order. The following three service alternatives are being considered: a) A single-channel...
The purpose of this assignment is to apply a waiting line model to a business service operation in order to recommend the most efficient use of time and resources.(This assignment has been adapted from Case Problem 2 in Chapter 15 of the textbook.)Use the information in the scenario provided to prepare a managerial report for Office Equipment, Inc. (OEI). Scenario Office Equipment, Inc. (OEI) leases automatic mailing machines to business customers in Fort Wayne, Indiana. The company built its success...
Problem 4. The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive ac cording to a Poisson process at a mean rate of 4 per minute. However, business is growing and management projects that the mean arrival rate will be 6 per minute a year from now. The transaction time between the teller and customer has an exponential distribution with a mean of 0.5 minute. Management has established the following guidelines for a satis- factory level...