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. 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.
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. 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.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 18P
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Question
Consider the information given in the given problem. Determine the sequence that the trucks should be unloaded in order to minimize
a. Mean flow time.
b. Maximum lateness.
c. Number of tardy jobs.
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