. In comparing a single-server (m = 1) waiting line system to a two-server (m =

Question

. In comparing a single-server (m = 1) waiting line system to a two-server (m = 2) system with the same average customer inter-arrival time a, server utilization, and CVs, which of the following statements are true (pick all that apply):

i. The two-server system will be better than the single-server system in terms of the four waiting line metrics, Tq, T, Iq, and I, where Tq, T represent average waiting time in queue, system and Iq, I represent the corresponding average inventory.

ii. The single-server system will be busier on average than the two-server system.

iii. Both systems will satisfy I = (1/a) T, Iq = (1/a) Tq.

iv. Average number of customers in the waiting line Iq will be the same in both systems.

v. The comparison between T in the two systems will depend on the value of variability factor, .

vi. If the variability factor is 1 (i.e., all CVs are 1), the two-server system will likely have lower Iq.

vii. If the variability factor is 1 (i.e., all CVs are 1), the single-server system will likely have lower I.

viii. If the variability factor is 1 (i.e., all CVs are 1), then T will be higher in the two-server system, but Tq will be higher in the single-server system.

Explanation / Answer

Points which are true:

i)

ii)

v)

vi)

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