Operations Research Problems by Raúl Poler Josefa Mula & Manuel Díaz-Madroñero

Author:Raúl Poler, Josefa Mula & Manuel Díaz-Madroñero
Language: eng
Format: epub
Publisher: Springer London, London

Solution(a)What is the probability of there being no customer waiting in the system?

This is a system with one queue, one server and an infinite population where λ = 10 cars/h and μ = 12 cars/h. The probability of the system being empty in t is:

(b)If you arrive at the restaurant, how many cars do you expect to see waiting and being served?

So, there would be five cars waiting and being served in the system.(c)What is the probability of a least one car waiting?

The probability of there being two cars in the system, one waiting and another being served, is calculated. In this case m = 2:

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