THE CLASS PROJECT BELOW INCLUDES TWO CASES. FOR FULL CREDIT,
WRITEUPS FOR BOTH CASES MUST BE COMPLETED!!!!!! FOR EACH CASE,
INCLUDE A BRIEF SUMMARY OF THE CASE, A MODEL FORMULATION, ANY
COMPUTATIONS AS APPROPRIATE, AND AN ANALYSIS OF RESULTS. IN-
CLUDE ANY RECOMMENDATIONS AND CONCLUSIONS YOU FEEL ARE APPROP-
RIATE. REMEMBER TO COMPLETE BOTH CASES!!!!! YOU CAN WORK IN
GROUPS OF UP TO FIVE. HOWEVER, INDIVIDUAL SUBMISSIONS ARE O.K.
ALSO!!!!!!! HARD COPY REPORTS ARE REQUIRED. NO E-MAIL OR
ELECTRONIC MEDIA SUBMISSIONS ARE ACCEPTED!!!!!!
NOTE THAT THE PROJECT IS GRADED OUT OF 20 POINTS – 10 POINTS
FOR EACH CASE!!!!
10 PTS. I) THE TEN STARS AMUSEMENT PARK
THE TEN STARS TRAVELING AMUSEMENT PARK HAS RECENTLY SET UP OP-
ERATION IN THE EAST BAY. THE ARRIVAL RATE OF PATRONS AT THE
PARK IS ESTIMATED AS 30 PER HOUR. THERE IS ONE ADMISSIONS GATE,
STAFFED BY A SINGLE WORKER. ADMISSIONS CAN BE CONDUCTED AT AN
ESTIMATED RATE OF 35 PER HOUR. FORTY PERCENT OF PATRONS GO
DIRECTLY TO THE FERRIS WHEEL, WHILE THE OTHER SIXTY PERCENT
GO TO THE ROLLERCOASTER. THE SERVICE RATE OF THE FERRIS WHEEL
IS 15 PATRONS PER HOUR, WHILE THE SERVICE RATE OF THE ROLLER
COASTER IS 24 PATRONS PER HOUR. ALL OF THE PATRONS LEAVING
THE FERRIS WHEEL GO TO THE HOUSE OF MIRRORS. IN ADDITION,
THIRTY PERCENT OF PATRONS LEAVING THE ROLLER COASTER GO TO
THE HOUSE OF MIRRORS. THE HOUSE OF MIRRORS SERVES PATRONS
ONE AT A TIME AT A RATE OF 20 PER HOUR. ALL PATRONS LEAVING
THE HOUSE OF MIRRORS AS WELL AS REMAINING PATRONS LEAVING
THE ROLLERCOASTER ALL GO TO THE EXIT GATE. THERE IS ONE
WORKER AT THE EXIT GATE, WHO CAN PROCESS EXITING PATRONS AT
A RATE OF 37 PER HOUR. IT IS DESIRED TO DETERMINE FOR THIS
AMUSEMENT PARK, THE EXPECTED NUMBER OF PATRONS WAITING AT
THE ADMISSION GATE, EXIT GATE, AND AT EACH RIDE. IT IS ALSO
DESIRED TO DETERMINE THE EXPECTED TIME PATRONS SPEND WAITING
AT EACH OF THESE LOCATIONS. IF AN ADDITIONAL WORKER WAS
AVAILABLE, AT WHICH “STATION” (I.E., ENTRY GATE, EXIT GATE,
OR RIDE) SHOULD THIS WORKER BE PLACED?
THE DEPT. OF PUBLIC SAFETY FOR ALAMEDA COUNTY WOULD LIKE TO
KNOW WHAT THE AVERAGE NUMBER OF PATRONS IS EXPECTED TO BE
IN THE PARK OVER THE COURSE OF A DAY IN ORDER TO DETERMINE
WHETHER THIS MEETS WITH SAFETY REGULATIONS. CURRENT REGULAT-
IONS DO NOT ALLOW FOR MORE THAN 25 PATRONS IN THE PARK AT ANY
ONE TIME. WHAT WOULD YOU REPORT FOR THIS? (I.E., IS THE RE-
QUIREMENT MET?) (NOTE THAT YOU CAN TREAT EACH STATION AS
A SINGLE SERVER SYSTEM!!!!!) MAKE SURE TO SHOW YOUR CALCULAT-
IONS AND REPORT YOUR RESULTS REGARDING PARK OPERATIONS.
A) WRITE A SHORT SUMMARY OF THE CASE, INCLUDING THE PURPOSE
OF YOUR ANALYSIS.
B) SHOW AND EXPLAIN THE MODEL YOU USED TO EVALUATE THE AMUSE-
MENT PARK SYSTEM.
C) SHOW ANY CALCULATIONS YOU USED TO OBTAIN YOUR RESULTS.
(HINT: FOR EACH GATE AND RIDE YOU WILL NEED L, Lq, and Wq.)
D) DISPLAY A SUMMARY OF RESULTS.
E) ANSWER ANY QUESTIONS POSED WITH THE CASE IN ADDITION TO
THE SUMMARY OF RESULTS. (I.E., AT WHAT RIDE WOULD YOU PLACE
AN ADDITIONAL WORKER, AND ARE PARK LIMITATIONS ON PATRONS
F) WRITE A BRIEF CONCLUSIONS AND RECOMMENDATIONS. A FEW
SENTENCES WILL SUFFICE.
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