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)
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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
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