Four trucks, 1, 2, 3, and 4, are waiting on a loading dock at XYZ Company that hasonly a single service bay. The trucks are labeled in the order that they arrived at thedock. Assume the current time is 1:00 P.M. The times required to unload each truck and the times that the goods they contain are due in the plant are given in thefollowing table.Truck Unloading Time (minutes) Time Material Is Due1 20 1:25 P.M.2 14 1:45 P.M.3 35 1:50 P.M.4 10 1:30 P.M.Determine the schedules that result for each of the rules FCFS, SPT, EDD, andCR. In each case compute the mean flow time, average tardiness, and number oftardy jobs.

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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Four trucks, 1, 2, 3, and 4, are waiting on a loading dock at XYZ Company that has
only a single service bay. The trucks are labeled in the order that they arrived at the
dock. Assume the current time is 1:00 P.M. The times required to unload each truck and the times that the goods they contain are due in the plant are given in the
following table.
Truck Unloading Time (minutes) Time Material Is Due
1 20 1:25 P.M.
2 14 1:45 P.M.
3 35 1:50 P.M.
4 10 1:30 P.M.
Determine the schedules that result for each of the rules FCFS, SPT, EDD, and
CR. In each case compute the mean flow time, average tardiness, and number of
tardy jobs.

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