If limited that condition transitions from Markov is discrete process only occur for conditions that timing is close, then will get random process that known as Birth-Death Process.
On birth-death process, focused is population problem. Total population is a random variable and obviously value from this process will be occur transition or condition change from n to n-1 if any ended condition (death), from n to n+1 if any just occur condition (birth). If in observation time interval there are no new conditions that occur or nothing ended, then the condition to believe not experience change. Explanation of condition change on birth-death process showed on figure 3.1.
Figure 3.1 Change condition on birth-death process
Birth-death process theory is very useful on telecommunication network analyze One telecommunication network can be modeling as one birth-death process, which total busy server that representation population, whereas “birth” to explain incoming call process and “death” to explain occupation ended process.
