In a service facility with c parallel servers, suppose that customers arrive according to a Poisson distribution,

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In a service facility with c parallel servers, suppose that customers arrive according to a Poisson distribution, with a mean rate of l. Arriving customers are assigned to servers

(busy or free) on a strict rotational basis.

(a) Determine the probability distribution of the interarrival time.

(b) Suppose in part

(a) that arriving customers are assigned randomly to the c servers with probabilities ai, ai Ú 0, i = 1, 2,

c, c, and a1 + a2 + g + ac = 1.

Determine the probability distribution of the interarrival time.

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Operations Research: An Introduction

ISBN: 9352865277

10th Global Edition

Authors: Hamdy A Taha

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Question Posted: Oct 24, 2024 04:01 AM

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In a service facility with c parallel servers, suppose that customers arrive according to a Poisson distribution,

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Operations Research: An Introduction

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