Lecture 11

# Relation 1 and use it backwards to obtain the optimal

• Notes
• 17

This preview shows pages 16–17. Sign up to view the full content.

relation (1) and use it backwards to obtain the optimal solution The procedure is a systematic way to consider all possible options (routes) at each stage, which is often called enumeration. If the number of stages is large and the number of possible states in each stage is large, the computation time may be very long or too long For each “large” dynamic programming problem, we need to formulate a model and analyze its properties. If the model has good analytical properties, we then try to identify the properties or format of the optimal solution and develop algorithm that can be used to compute the optimal solution in an acceptable time

This preview has intentionally blurred sections. Sign up to view the full version.

17 Exercise You have 7 days to prepare final exams for 4 courses. You want to allocate this time as effectively as possible, knowing that you must give each course at least one full day and you like to concentrate to just one course each day. So you may allocate 1, 2, 3, or 4 days to a course Estimated grade point Number of Course study days 1 2 3 4 1 3 5 2 6 2 5 5 4 7 3 6 6 7 9 4 7 9 8 9 Given the above grade points distribution, how should you allocate your time so that the total grade points is maximized? Use dynamic programming
This is the end of the preview. Sign up to access the rest of the document.
• Fall '10
• D

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern