Question: . Batch service with fixed batch size k. Let Win be the waiting time in queue of the last (kth) person who arrived and formed

. Batch service with fixed batch size k. Let Win be the waiting time in queue of the last (kth) person who arrived and formed the nth batch of k customers. Then show that the expected waiting time for an unspecified customer E (W) is given by

(k- 1)

E(W) = E(W.)+

Deduce that Little's formula is satisfied for M/G /1 with services in batches of size k (Marshall, 1968b).

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