Please provide steps for how you got the solution to the problem provided below, I am trying to understand the problem, not just see an answer. Thank you so much. A manufacturing line produces a variety of components, one every 10 minutes. Due to uncertainties in the manufacturing process, components are produced randomly. Specifically, the next produced component is of type A with probability 0.2, of type B with probability 0.15 and of some other type the rest of the time. A particular product consists of three total components, 1 of type A and 2 of type B. A robot is assembling the units of this product one at a time. The robot is located at the end of the production line and collects a required component as soon as it is outputted by the line. If a component is not collected by the robot, because it is not needed for the current assembly, it moves past and is used elsewhere. Once one unit of product is assembled, it is shipped and a new assembly starts. Shipment procedure also takes 10 minutes. Model the status of the product assembly as a Markov chain. Draw the diagram and give transition matrix. Define states as the number of collected components in the current assembly with transitions happening once every 10 minutes.
Please provide steps for how you got the solution to the problem provided below, I am trying to understand the problem, not just see an answer. Thank you so much.
A manufacturing line produces a variety of components, one every 10 minutes. Due to uncertainties in the manufacturing process, components are produced randomly. Specifically, the next produced component is of type A with
A particular product consists of three total components, 1 of type A and 2 of type B. A robot is assembling the units of this product one at a time. The robot is located at the end of the production line and collects a required component as soon as it is outputted by the line. If a component is not collected by the robot, because it is not needed for the current assembly, it moves past and is used elsewhere. Once one unit of product is assembled, it is shipped and a new assembly starts. Shipment procedure also takes 10 minutes.
Model the status of the product assembly as a Markov chain. Draw the diagram and give transition matrix. Define states as the number of collected components in the current assembly with transitions happening once every 10 minutes.
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