A garage has 2 mechanics and 5 service bays to house vehicles. Customers arrive on average every 3 hours, and each mechanic works independently, taking an average of 2 hours to complete a service (all times exponentially distributed). Vehicles that cannot find a free service bay leave. A. The garage is modeled as a Markov Chain with no distinction between service bays, i.e., state space only tracks number of used bays (customers in garage). Draw the resultant state transition diagram along with inter-state transition rates. How many states are there in total?
A garage has 2 mechanics and 5 service bays to house vehicles. Customers arrive on average every 3 hours, and each mechanic works independently, taking an average of 2 hours to complete a service (all times exponentially distributed). Vehicles that cannot find a free service bay leave. A. The garage is modeled as a Markov Chain with no distinction between service bays, i.e., state space only tracks number of used bays (customers in garage). Draw the resultant state transition diagram along with inter-state transition rates. How many states are there in total?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![A garage has 2 mechanics and 5 service bays to house vehicles. Customers arrive on average
every 3 hours, and each mechanic works independently, taking an average of 2 hours to complete
a service (all times exponentially distributed). Vehicles that cannot find a free service bay leave.
A. The garage is modeled as a Markov Chain with no distinction between service bays, i.e., state
space only tracks number of used bays (customers in garage). Draw the resultant state
transition diagram along with inter-state transition rates. How many states are there in total?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86a68482-9e1f-42d2-a559-c7d4fb09e576%2F460fe8f0-4728-492d-88ba-5d00f67e7e6d%2Fn9o3ddb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A garage has 2 mechanics and 5 service bays to house vehicles. Customers arrive on average
every 3 hours, and each mechanic works independently, taking an average of 2 hours to complete
a service (all times exponentially distributed). Vehicles that cannot find a free service bay leave.
A. The garage is modeled as a Markov Chain with no distinction between service bays, i.e., state
space only tracks number of used bays (customers in garage). Draw the resultant state
transition diagram along with inter-state transition rates. How many states are there in total?
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