Queuing theory - Open queuing networks

3 important questions on Queuing theory - Open queuing networks

What does an K-stages queuing system imply?

Customer service is not completed after one but after k servers.

What is the jackson theorem?

  1. Interarrival times for series queueing system are exponential with rate labda;
  2. Service times for each stage i server are exponential;
  3. Each stage has an infinite capacity waiting room;

Then, interarrival times for arrivals to each stage of the queuing system are exponential with rate labda.

  What can be said about the number of customers present at each station?

The number of people at al stations other than station j tells us nothing about the distribution of then umber of people at station j.

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