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A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during 1 - 3. the day, it is sent to a repair facility and will be working two days after it breaks down. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.). Letting the state of the system be the number of machines working at the beginning of the day, formulate a transition probability matrix for this situation. Define the period of interest Define the events that cause a state transition Develop state transition probability matrix (P)

A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during 1 - 3. the day, it is sent to a repair facility and will be working two days after it breaks down. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.). Letting the state of the system be the number of machines working at the beginning of the day, formulate a transition probability matrix for this situation. Define the period of interest Define the events that cause a state transition Develop state transition probability matrix (P)

A First Course in Probability (10th Edition)
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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<> <> > <> 三S三三三三 Normal No Spacing Heading 1 - 田 Paragraph Styles 1 3. 5. INEN435 Stochastic Operations Research Homework 3 Problem 1 A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during 1. - 3. the day, it is sent to a repair facility and will be working two days after it breaks down. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.). Letting the state of the system be the number of machines working at the beginning of the day, formulate a transition probability matrix for this situation. Define the period of interest Define the events that cause a state transition Develop state transition probability matrix (P) Problem 2 A food bank is a non-profit organization whose main task is to allocate food items from donors to people who need it. Food banks receive donations from people and big sunermarkets likre Walmart or Target and the food bank has no control over how much D Focus Accessibility: Good to go 9. pua F12 home prt sc F10 F11 F7 F5 F4
Transcribed Image Text:<> <> > <> 三S三三三三 Normal No Spacing Heading 1 - 田 Paragraph Styles 1 3. 5. INEN435 Stochastic Operations Research Homework 3 Problem 1 A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during 1. - 3. the day, it is sent to a repair facility and will be working two days after it breaks down. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.). Letting the state of the system be the number of machines working at the beginning of the day, formulate a transition probability matrix for this situation. Define the period of interest Define the events that cause a state transition Develop state transition probability matrix (P) Problem 2 A food bank is a non-profit organization whose main task is to allocate food items from donors to people who need it. Food banks receive donations from people and big sunermarkets likre Walmart or Target and the food bank has no control over how much D Focus Accessibility: Good to go 9. pua F12 home prt sc F10 F11 F7 F5 F4
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