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MAP 6264 Homework 1 (Blocked Customers Cleared) Solution

10 Points



1. Poisson arrivals, exponential service times.
2. Poisson arrivals, constant service times.
3. Constant interarrival times, exponential service times.
4. Constant interarrival times, constant service times.



K/NSTOP AB/A B(s,a)
1
2
3 NA
4 NA




100 DIM C(50) (50 is max number of servers)
110 INPUT S,NSTOP (S,NSTOP = number of servers, customers to be simulated)
120 FOR D=1 TO NSTOP
130 IA= (IA = interarrival time)
140 A=A+IA (A = arrival time)
150 J=0
160 J=J+1 (J = index of server being probed) 170 IF J=S+1 THEN K=K+1 (K = number of customers that are blocked)
180 IF J=S+1 THEN 270
190 IF A<C(J) THEN 160 (C(J) = completion time for server J)
200 X= (X = service time)
210 C(J)=A+X
220 M=C(1) (M = shortest server-completion time)
230 FOR I=2 TO S
240 IF C(I)<M THEN M=C(I)
250 NEXT I
260 IF M>A THEN AB=AB+M-A (AB = cumulative time during which all servers busy)
270 NEXT D
280 PRINT K/NSTOP,AB/A (fraction of customers blocked, fraction of time all servers are simultaneously busy)

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