What we can glean from the set of information given above

Thus for the general nth customer in the queue we have defined the following, which are: (i) his/her inter arrival time, (ii) his/her service time, (iii) his/her waiting time, (iv) his/her system time.
Thus the main data which we will have in front of us would be the sequence of , ,  and

What is of interest to us

•   and , where l is the average arrival time
  

• We denote, again for our convenience the following

Metric # 1 (average waiting time or cumulative waiting time, considering there is only one (1) machine only)

Minimize the average waiting time (cumulative waiting time), i.e., minimize:  , which is .