3.1 Formulate an assignment model.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Greydog Bus Company operates buses between Boston and Washington, D.C. A bus trip between these
two cities takes 6 hours. Federal law requires that a driver rest for four or more hours between trips. A
driver's workday consists of two trips: one from Boston to Washington and one from Washington to Boston.
The table gives the departure times for the buses. Graydog's goal is to minimize the total downtime for
all drivers. How should Graydog assign crews to trips? Note: It is permissible for a driver's “day" to overlap
midnight. For example, a Washington-based driver can be assigned to the Washington-Boston 3 P.M. trip
and the Boston-Washington 6 A.M. trip.
3.1 Formulate an assignment model.
3.2 Use Hungarian's Method to solve the problem
Trip
Departure Time
Trip
Departure Time
Boston 1
6 A.M.
Washington 1
5:30 A.M.
Boston 2
7:30 A.M.
Washington 2
9 A.M.
Boston 3
11:30 A.M.
Washington 3
3 P.M.
Boston 4
7 P.M.
Washington 4
6:30 P.M.
Boston 5
12:30 A.M.
Washington 5
12 midnight
Transcribed Image Text:Greydog Bus Company operates buses between Boston and Washington, D.C. A bus trip between these two cities takes 6 hours. Federal law requires that a driver rest for four or more hours between trips. A driver's workday consists of two trips: one from Boston to Washington and one from Washington to Boston. The table gives the departure times for the buses. Graydog's goal is to minimize the total downtime for all drivers. How should Graydog assign crews to trips? Note: It is permissible for a driver's “day" to overlap midnight. For example, a Washington-based driver can be assigned to the Washington-Boston 3 P.M. trip and the Boston-Washington 6 A.M. trip. 3.1 Formulate an assignment model. 3.2 Use Hungarian's Method to solve the problem Trip Departure Time Trip Departure Time Boston 1 6 A.M. Washington 1 5:30 A.M. Boston 2 7:30 A.M. Washington 2 9 A.M. Boston 3 11:30 A.M. Washington 3 3 P.M. Boston 4 7 P.M. Washington 4 6:30 P.M. Boston 5 12:30 A.M. Washington 5 12 midnight
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