Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs....
Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of four jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.4 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs:
A. What is the mean arrival rate in jobs per hour? If required, round your answer to two decimal places. Per Hour?
B. What is the mean service rate in jobs per hour? If required, round your answer to four decimal places. Per Hour?
C. What is the average number of jobs waiting for service? If required, round your answer to three decimal places.
D. What is the average time a job waits before the welder can begin working on it? If required, round your answer to one decimal place. Hours?
E. What is the average number of hours between when a job is received and when it is completed? If required, round your answer to one decimal place. Hours?
F. What percentage of the time is Gubser's welder busy? % of the time the welder is busy?
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Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a
welding service for construction and automotive repair jobs....
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the...
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 3.2 hours and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all...
e) If you were the manager of Fore and Aft Marina, would you be satisfied with...
e) If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing Why or why not? Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal distribution,...
Problem 15-17 (Algorithmic) The new Fore and Aft Marina is to be located on the Ohio...
Problem 15-17 (Algorithmic) The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decides to build a docking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Poisson probability distribution, with an arrival rate of 7 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 12 boats per hour. The manager...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? If required, round your answer to four decimal places. P0 = What is the probability that one customer is receiving a haircut and no...
Problem 11-17 (Algorithmic) The new Fore and Aft Marina is to be located on the Ohio...
Problem 11-17 (Algorithmic) The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decides to build a docking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Poisson probability distribution, with an arrival rate of 6 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 8 boats per hour. The manager...
Problem 15-31 (Algorithmic) Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number...
Problem 15-31 (Algorithmic) Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 9 calls per hour. The arrival rate is 17 calls...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq = L = Wq = hours W = hours...
A small town with one hospital has 4 ambulances to supply ambulance service. Requests for ambulances...
A small town with one hospital has 4 ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends average 0.68 per hour and tend to be Poisson-distributed. Travel and assistance time averages 2.40 hours per call and follows an exponential distribution Use Table 1. a. Find system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) System utilization % b. Find the average number of customers waiting. (Round your answer...
Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers...
Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 2.0 per hour. It will take Benny an average of 26 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal...
City Cab, Inc., uses two dispatchers to handle requests for service and to dispatch the cabs. The...
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e) If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing Why or why not? Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal distribution,...
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