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:

Overconfidence

An overly positive judgment of one’s own decision-making abilities and performance.

Participant Confidence

The level of belief individuals have in their own abilities and judgments during participation in an activity or research.

Propositional Reasoning

Involves making inferences and deducing facts from propositions, or statements that declare something to be true or false.