Using Book Quantitative Analysis for Management ISBN 978-0-13-214911-2

All four questions are required to be answered for solution needed in further questions

.All steps should be included

.13-19 Juhn 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 Juhn 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 Juhn 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 Juhn 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?