Class Scheduling The entire class of problems referred to as sequencing, scheduling, and routing are inherently integer programs. Consider, for example, the scheduling of students, faculty, and classrooms in such a way that the number of students who cannot take their first choice of classes is minimized. There are constraints on the number and size of classrooms available at any one time, the availability of faculty members at particular times, and the preferences of the students for particular schedules. • Clearly, then, the ith student is scheduled for the j th class during the nth time period or not; hence, such a variable is either zero or one. Other examples of this class of problems include line-balancing, critical-path scheduling with resource constraints, and vehicle dispatching. Goal:Minimize dass Constraints: Number and size of classoms, faculty members, registered students
Class Scheduling The entire class of problems referred to as sequencing, scheduling, and routing are inherently integer programs. Consider, for example, the scheduling of students, faculty, and classrooms in such a way that the number of students who cannot take their first choice of classes is minimized. There are constraints on the number and size of classrooms available at any one time, the availability of faculty members at particular times, and the preferences of the students for particular schedules. • Clearly, then, the ith student is scheduled for the j th class during the nth time period or not; hence, such a variable is either zero or one. Other examples of this class of problems include line-balancing, critical-path scheduling with resource constraints, and vehicle dispatching. Goal:Minimize dass Constraints: Number and size of classoms, faculty members, registered students
Computer Networking: A Top-Down Approach (7th Edition)
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Solve the IP (Integer
![IP Applications 3
Class Scheduling
The entire class of problems referred to as sequencing, scheduling, and
routing are inherently integer programs.
Consider, for example, the scheduling of students, faculty, and classrooms in
such a way that the number of students who cannot take their first choice of
classes is minimized. There are constraints on the number and size of
classrooms available at any one time, the availability of faculty members at
particular times, and the preferences of the students for particular schedules.
Clearly, then, the ith student is scheduled for the j th class during the nth time
period or not; hence, such a variable is either zero or one. Other examples of
this class of problems include line-balancing, critical-path scheduling with
resource constraints, and vehicle dispatching.
Goal: Minimize dass
Constaint: Number and size of dasSOoms, faculy member, eistered sudents](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5de7057e-b9f9-4a63-b5a3-7f20640b371b%2Fcf27d7ca-ce57-41ae-b730-11979d21c34b%2Frj7y1ts_processed.jpeg&w=3840&q=75)
Transcribed Image Text:IP Applications 3
Class Scheduling
The entire class of problems referred to as sequencing, scheduling, and
routing are inherently integer programs.
Consider, for example, the scheduling of students, faculty, and classrooms in
such a way that the number of students who cannot take their first choice of
classes is minimized. There are constraints on the number and size of
classrooms available at any one time, the availability of faculty members at
particular times, and the preferences of the students for particular schedules.
Clearly, then, the ith student is scheduled for the j th class during the nth time
period or not; hence, such a variable is either zero or one. Other examples of
this class of problems include line-balancing, critical-path scheduling with
resource constraints, and vehicle dispatching.
Goal: Minimize dass
Constaint: Number and size of dasSOoms, faculy member, eistered sudents
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