Rock View Restaurant is a new fast food restaurant chain. The Operations Manager has divided its normal drive-through service process into the following tasks: Tasks          Description              Task Time(InSeconds)       Predecessors A                   Take order                       25                                 None B                   Receive payment            20                                    A C                  Gather drinks                   35                                    A D                  Gather food                      32                                   A E                   Put food etc. in bag         25                                  C,D F                   Give food to customer     10                                  B,E Currently, Rock View Restaurant has a single window with one person who takes the order, gather the food, collects the money and gives the food to the customer. This takes an average of 147 seconds per customer so only 25.5 cars can be served. Rock View Restaurant wants to increase its drive-through capacity to 60 cars per hour by forming a multi-window line. i. Draw the precedence diagram to represent the process at Rock View Restaurant. ii. Calculate the cycle time in seconds. iii. Calculate the minimum number of windows that Rock View Restaurant will need to serve 60 cars per hour.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Question 1
Rock View Restaurant is a new fast food restaurant chain. The Operations Manager has divided
its normal drive-through service process into the following tasks:
Tasks          Description              Task Time(InSeconds)       Predecessors
A                   Take order                       25                                 None
B                   Receive payment            20                                    A
C                  Gather drinks                   35                                    A
D                  Gather food                      32                                   A
E                   Put food etc. in bag         25                                  C,D
F                   Give food to customer     10                                  B,E

Currently, Rock View Restaurant has a single window with one person who takes the order,
gather the food, collects the money and gives the food to the customer. This takes an average of
147 seconds per customer so only 25.5 cars can be served. Rock View Restaurant wants to
increase its drive-through capacity to 60 cars per hour by forming a multi-window line.

i. Draw the precedence diagram to represent the process at Rock View Restaurant.

ii. Calculate the cycle time in seconds.

iii. Calculate the minimum number of windows that Rock View Restaurant will need to
serve 60 cars per hour.

iv. Using the LOT heuristic, assign the tasks to the windows to produce the desired
service rate making sure that the precedence relationship is maintained.

v. Calculate the efficiency of the newly design process

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