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Consider an Erlang loss system. The average processing time is 3 minutes. The average interarrival time is 4 minutes. The number of servers is 2. What is the rate of lost demand in customers per hour?
A. 1.33
B. .65
C. 1.5
D. 2

Respuesta :

Answer:

D. 2

Explanation:

The computation of the rate of lost demand is shown below;

Given that

p = 3

a = 4

M  =2

Now

r = p ÷ a

=3 ÷ 4

= 0.75

Now determine the value from the erlang table having r = 0.75 and M = 2

= 0.123  

Now,

The  Rate of lost demand is

= demand rate × 0.123 × 60minutes

= (1 ÷ 4) × 0.123 × 60

= 1.845 or 2

= 2

Hence, the correct option is d.

Tundexi

The calculated rate of lost demand in customers per hour is 2.

Given Data

Average processing time (p) = 3

Average interarrival time (a) = 4

Number of servers (m)  =2

r = p/a

r = 3/4

r = 0.75

  • The value derived from erlang table having r = 0.75 and M = 2 is 0.123.

 

  • The formula to be used to derive the Rate of lost demand is {Demand rate * P(r,m) * 60 minutes)

Rate of lost demand = (1/4) * 0.123 * 60

Rate of lost demand = 1.845

Rate of lost demand =  2

Therefore, the Option D is correct because the calculated rate of lost demand in customers per hour is 2.

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