At the Order Fulfillment Center of a Major Mail-Order Firm,customer

question 51

Essay

At the order fulfillment center of a major mail-order firm,customer orders,already packaged for shipment,arrive at the sorting machine to be sorted for loading onto the appropriate truck for the parcel's address.The arrival rate at the sorting machine is at the rate of 100 per hour following a Poisson distribution.The machine sorts at the constant rate of 150 per hour.
a.What is the utilization rate of the system?
b.What is the average number of packages waiting to be sorted?
c.What is the average number of packages in the sorting system?
d.How long must the average package wait until it gets sorted?
e.What would Lq and Wq be if the service rate were exponential,not constant?

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Definitions:

Nonstigmatized Group

A social group that is generally considered to be accepted and not subjected to prejudice, discrimination, or negative stereotyping by the broader society.

White Matter

Brain and spinal cord tissue composed primarily of myelinated nerve fibers, which facilitate communication between different parts of the nervous system.

Dendrites

Branch-like structures of neurons that receive messages from other neurons.

Axons

Long, threadlike structures in neurons that transmit electrical signals from the cell body to other neurons or muscles.