deletions | additions       diff --git a/section_Analytical_Treatment_In_this__.tex b/section_Analytical_Treatment_In_this__.tex  index 4e70de3..1930d32 100644  --- a/section_Analytical_Treatment_In_this__.tex  +++ b/section_Analytical_Treatment_In_this__.tex 
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The number of customers in the system is a discrete random variable that evolves according to a \textit{continuous time Markov chain}, with the following transition probabilities:  \begin{itemize}  \item probability $p_{up}$ that in the time interval $\Delta t$ the number of customers in the system increases by one unit is $p_{up} = \lambda \Delta t$;  \item probability $p_{down}$ that in the time interval $\Delta t$ the number of customers in the system decreases by one unit is $p_{down} = \mu \Delta t$ if there is a single customer in the system. If there are more customers, the probability $p_{down}$ increases, since there are several serves servers  available, so that $p_{down} = 2 \mu \Delta t$ if there are two customers, $p_{down} = 3 \mu \Delta t$ if the number of customers in the system is three and so on. However, if the number of customers in the system equals the number of servers, the system is saturated and a queue is formed. \end{itemize}  The state space diagram for this chain is as below: