bridge university maintains a powerful mainframe computer for research use by it
ID: 1942230 • Letter: B
Question
bridge university maintains a powerful mainframe computer for research use byits faculty, Ph.D. students, and research associates. During all working hours, an operator must
be available to operate and maintain the computer, as well as to perform some programming
services. Beryl Ingram, the director of the computer facility, oversees the operation.
It is now the beginning of the fall semester, and Beryl is confronted with the problem of
assigning different working hours to her operators. Because all the operators are currently
enrolled in the university, they are available to work only a limited number of hours each day, as
shown in the following table.
Maximum Hours of Availability
Operators Wage Rate Mon. Tue. Wed. Thurs. Fri.
K.C. $10/hour 6 0 6 0 6
D.H. $10.1/hour 0 6 0 6 0
H.B. $9.9/hour 4 8 4 0 4
S.C. $9.8/hour 5 5 5 0 5
K.S. $10.8/hour 3 0 3 8 0
N.K. $11.30/hour 0 0 0 6 2
There are six operators (four undergraduate students and two graduate students). They all
have different wage rates because of differences in their experience with computers and in their
programming ability. The above table shows their wage rates, along with the maximum number
of hours that each can work each day. Each operator is guaranteed a certain minimum number of
hours per week that will maintain an adequate knowledge of operation. This level is set
arbitrarily at 8 hours per week for the undergraduate students (K.C., D.H, H.B., and S.C.) and 7
hours per week for the graduate students (K.S. and N.K.).
The computer facility is to be open for operation from 8am to 10pm Monday through Friday
with exactly one operator on duty during these hours. On Saturdays and Sundays, the computer
is to be operated by other stuff. Because of a tight budget, Beryl has to minimize cost. She
wishes to determine the number of hours she should assign to each operator on each day.
Formulate an AMPL model and data set to solve this problem
Explanation / Answer
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