Problem No$.3($Event Scheduling time advance algorithm$)$

Marks $10$

Different types of parts arrive at an automated machining center. The types of parts and their interarrival

time is random. The machining time is deterministic. However, it depends on the part type. Assuming

that the first part arrives at time $t=0$ when the machining center was idle:

a$.$ Perform a hand simulation using time$-$advance$-$event$-$scheduling approach and stop the

simulation at $t=30$ minutes. $($Use the interarrival and machining times given in the last two

rows of the table below.$)$

b$.$ Calculate the average queue length and the utilization of the machining center.Events are: $$

Arrival $(A)$

Departure $(D)$

Stopping event $(E)$

Event Notices are:

$(i,A,t)$ to represent an arrival event of part $i$ to occur at future time $t$

$(i,D,t)$ to represent a departure event of part $i$ to occur at future time $t$

$(E,30)$ to represent the simulation stop event future time $30$

Machining is accomplished with FIFO discipline $($parts have equal priority irrespective of their

types$).$