Jesse Atkinson, the only mechanic at the service center of New York Taxicab Company (NYTC), provides automotive services for NYTC taxis. Jesse services taxicabs at an average rate of five per hour, with service times being negatively exponentially distributed. Taxicabs arrive at the NYTC service center independently and randomly following a Poisson distribution throughout the day at a rate of one every 15 minutes. Taxis are serviced on a FCFS basis. NYTC is the city's largest taxi company and the number of NYTC taxis is large enough (to be considered infinite for probability purposes). a) What percentage of time is the mechanic busy? b) What is the average number of taxis waiting in line at the NYTC service center? c) On average, how long will an NYTC taxi spend at the service center, including the times waiting in line and being serviced? d) What is the probability that three or more taxis are at the NYTC service center? e) Suppose now that the arrival of taxis for servicing at NYTC's service center has significantly increased to 11 taxicabs per hour. Two additional mechanics have been hired at the NYTC service center, each having the same service rate of 5 taxis per hour.

Jesse Atkinson, the only mechanic at the service center of New York Taxicab Company (NYTC), provides automotive services for NYTC taxis. Jesse services taxicabs at an average rate of five per hour, with service times being negatively exponentially distributed. Taxicabs arrive at the NYTC service center independently and randomly following a Poisson distribution throughout the day at a rate of one every 15 minutes. Taxis are serviced on a FCFS basis. NYTC is the city's largest taxi company and the number of NYTC taxis is large enough (to be considered infinite for probability purposes). a) What percentage of time is the mechanic busy? b) What is the average number of taxis waiting in line at the NYTC service center? c) On average, how long will an NYTC taxi spend at the service center, including the times waiting in line and being serviced? d) What is the probability that three or more taxis are at the NYTC service center? e) Suppose now that the arrival of taxis for servicing at NYTC's service center has significantly increased to 11 taxicabs per hour. Two additional mechanics have been hired at the NYTC service center, each having the same service rate of 5 taxis per hour.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Similar questions

After reading the stem et provided: Create a flowchart of the passenger arriving at an airport for departure process?
Discuss what is flexible facilities and multi skilled workforce in Just -In-Time (JIT)?
Please solve, please solve exact question, thank you for your time
Which graphical tool is also very useful for shop-floor monitoring in project management?
Explain ELI GOLDRATT’S THEORY OF CONSTRAINTS?
Explain how line balancing works. Research a manufacturing app that could help with line balancing for a manufacturing facility (of your choice, if you want to be specific).
Could you please help me solve this problem?
Please answer fast ASAP an automobile spare parts production required 5 types of process to complete final product. the process are cutting turning shaping drilling and knurling.the operation time required in each processes is 3,2,4,1,5 minutes. Calculate the machine required in each step to get 60 pieces of final product in an hour.
For the past five years we at the Miami International Airport have been overwhelmed with the number of flight traffic that is coming in and out of our airport daily. Our reports indicate that due to the traffic numerous airlines have complained that their flights are often being delayed. Hence, to meet the needs of our customers we have decided to construct an additional runway area on the open area located north of Terminal A. This new runway must be built to accommodate largest jets. The work that needs to be done includes: Constructing the runway (presently the runway surface is made of concrete), Placing the lights on the runway, building and identify the Runway Safety area, and the construction of blast pads
How can service orchestration and choreography be used to coordinate services in a workflow?
Explore the concept of orchestration and choreography in service composition. How do they differ, and when should each be used in service-oriented software?
Please explain how Internet technologies are being used in the development of a process in one of the company's functional areas. Provide an example and assess its monetary worth in the business world.