(Solution) 13-19 John And Sons Wholesale Fruit Distributors Employ One Worker Whose Job Is To Load Fruit On Outgoing Company Trucks. Trucks Arrive At The... | Snapessays.com


(Solution) 13-19 John and Sons Wholesale Fruit Distributors employ one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the...


I need assistance with problems 13-19, 13-20, 13-21 and 13-22 for my Management Science class. These questions are from the Quantitative Analysis for Management, 11th edition by Render,Stair and Hanna textbook. All four problems are associated with each other. Thank you13-19

 

John and Sons Wholesale Fruit Distributors employ one worker whose job is to load fruit on outgoing

 

company trucks. Trucks arrive at the loading gate at an average of 24 per day, or 3 per hour, according to a Poisson

 

distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in

 

service times.

 

Determine the operating characteristics of this loading gate problem. What is the probability that

 

there will be more than three trucks either being loaded or waiting? Discuss the results of your queuing model

 

computation.

 

13-20

 

John believes that adding a second fruit loader will substantially improve the firm’s efficiency. He estimates

 

that a two-person crew, still acting like a single-server system, at the loading gate will double the loading rate from 4

 

trucks per hour to 8 trucks per hour. Analyze the effect on the queue of such a

 

change and compare the results with those found in Problem 13-19.

 

13-21

 

Truck drivers working for John and Sons (see Problems 13-19 and 13-20) are paid a salary of $10 per hour on

 

average. Fruit loaders receive about $6 per hour. Truck drivers waiting in the queue or at the

 

loading gate are drawing a salary but are productively idle and unable to generate revenue during

 

that time. What would be the

 

hourly

 

cost savings to the firm associated with employing two loaders

 

instead of one?

 

13-22

 

John and Sons Wholesale Fruit Distributors (of Problem 13-19) are considering building a second

 

platform or gate to speed the process of loading their fruit trucks. This, they think, will be even more efficient than

 

simply hiring another loader to help out the first platform (as in Problem 13-20).

 

Assume that workers at each

 

platform will be able to load 4 trucks per hour each and that trucks will continue to arrive at the rate of 3 per hour.

 

Find the waiting line’s new operating conditions. Is this new approach indeed speedier than the other two

 

considered?

 


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This question was answered on: May 23, 2022

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