1. would be at a a. fac Trucks arrive randomly to the facility and wait pump. Since trucks vary a. . If the manager of PWC uses the multiple-server model to calculate the operating characteristics of the facility's waiting line, list three assumptions she must make regarding the behavior of waiting trucks and the truck arrival process. b. Suppose an average of 336 trucks arrive each day. there are four wellhead pumps, and each pump can serve an average of four trucks What is the probability that exactly 10 trucks will arrive between 1:00 P.M. and 2:00 P.M. on any given day? hour. eɔ dund per - How likely is it that once a truck is in position at a wellhead, the filling time will be less than 15 minutes? C. Contrast and comment on the performance differences between: - One waiting line feeding all four stations. two wellhead pumps and

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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11. The m
obser
custo
Pasity designed to efficiently fill water-hauling tanker
fachs Trucks arrive randomly to the facility and wait
of for
line to access a wellhead
pump. Since trucks
and
vary
in nd the filling operation is manually performed by
12. Pau
in
faci
. If the manager of PWCuses the multiple-server
model to calculate the operating characteristics of the
facility's waiting line, list three assumptions she must
make regarding the behavior of waiting trucks and the
truck arrival process.
ma
nu
ds
a.
b. Suppose an average of 336 trucks arrive each day.
there are four wellhead pumps, and each pump can
b.
serve an average of four trucks
per
hour.
What is the probability that exactly 10 trucks will
arrive between 1:00 P.M. and 2:00 P.M. on any given
13.
▪ How likely is it that once a truck is in position
at a wellhead, the filling time will be less than
15 minutes?
c. Contrast and comment on the performance
differences between:
One waiting line feeding all four stations.
One waiting line feeding two wellhead
a second waiting line feeding two other wellhead
pumps. Assume that drivers cannot see each line
and must choose randomly between them. Further,
assume that once a choice is made, the driver cannot
back out of the line.
pumps and
1.
rat the Precision Machine Shop wants
inimizes total
Transcribed Image Text:11. The m obser custo Pasity designed to efficiently fill water-hauling tanker fachs Trucks arrive randomly to the facility and wait of for line to access a wellhead pump. Since trucks and vary in nd the filling operation is manually performed by 12. Pau in faci . If the manager of PWCuses the multiple-server model to calculate the operating characteristics of the facility's waiting line, list three assumptions she must make regarding the behavior of waiting trucks and the truck arrival process. ma nu ds a. b. Suppose an average of 336 trucks arrive each day. there are four wellhead pumps, and each pump can b. serve an average of four trucks per hour. What is the probability that exactly 10 trucks will arrive between 1:00 P.M. and 2:00 P.M. on any given 13. ▪ How likely is it that once a truck is in position at a wellhead, the filling time will be less than 15 minutes? c. Contrast and comment on the performance differences between: One waiting line feeding all four stations. One waiting line feeding two wellhead a second waiting line feeding two other wellhead pumps. Assume that drivers cannot see each line and must choose randomly between them. Further, assume that once a choice is made, the driver cannot back out of the line. pumps and 1. rat the Precision Machine Shop wants inimizes total
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