{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

DMOR_HW5_fall10_solutions

# DMOR_HW5_fall10_solutions - ESI 6314 Deterministic Methods...

This preview shows pages 1–3. Sign up to view the full content.

ESI 6314 Deterministic Methods in Operations Research Fall 2010 HW 5 Solutions 1. Problem 7, page 419 Let c ij = cost incurred if a machine is purchased at beginning of year i and is kept until beginning of year j. The shortest path problem can be formulated for the network similar to the one in example 2, page 415 (which was also presented in the lecture slides). Using the given data, we obtain (in thousands of dollars): c 12 = 208; c 23 = 258; c 34 = 248; c 45 = 288 c 56 = 388; c 14 = 355; c 15 = 537; c 16 = 841; c 24 = 258 c 25 = 375; c 26 = 557; c 35 = 298; c 36 = 395; c 46 = 388 Using Dijkstra’s algorithm (or, alternatively, by reformulating the problem as a transshipment problem) we obtain that the optimal strategy is as follows: we should first keep the machine for two years and then trade it in, and then we should keep the new machine for three more years till the end of the planning horizon. 2. Problem 8, page 430 See figure.

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

View Full Document
3. Problem 9, page 430 Step 1-Add 4 units of flow along so-1-3-si Step 2-Add 2 units of flow along so-2-4-si Step 3-Add 1 unit of flow along so-2-4-3-si
This is the end of the preview. Sign up to access the rest of the document.

{[ 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