Calculate the steady-state probabilities

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Reference no: EM131275625

Assume that the city of Mayaguez has two ambulances, one of which is located in the RUM and the other in Medical Center. If there is an emergency requiring an ambulancein the RUM, the ambulance located at the RUM is sent if available, if this ambulance is not available, the one located at the Medical Center will be sent. If there is an emergency outside the RUM requiring an ambulance service, the ambulance from the Medical Center is sent, if this one is not available, the ambulance from the RUM is sent. No matter the origin of the call, if neither ambulances available, the emergency is not attended by either of these two ambulances.

Assume that the time between emergency calls is exponentially distributed and that, on average, a call is received at RUM every three hours and three calls per hour the rest of the city of Mayaguez.

The time it takes for an ambulance to respond to an emergency call and be ready for another another call is exponentially distributed with an average of 30 minutes.

Draw the diagram corresponding rate this queuing system transition. Write and solve the system of equations necessary to calculate the steady-state probabilities. Present a summary of their calculations -can use Matlab to make them. explicitly enter values ??for the steady-state probabilities. What is the probability that an emergency is not served by any of these ambulances?

Reference no: EM131275625

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