Formulate this problem as a minimum cost flow problem

Assignment Help Basic Computer Science

Reference no: EM131122454

(k Shortest Node-Disjoint Paths) The purpose of this exercise, due to Casta˜non [1990], is to formulate a class of multiple shortest path problems and to indicate the method for their solution. Consider a graph with an origin 1, a destination t, and a length for each arc. We want to find k paths from 1 to t which share no node other 1 and t and which are such that the sum of the k path lengths is minimum. Formulate this problem as a minimum cost flow problem. (For an auction algorithm that solves this problem, see Bertsekas and Casta˜non [1993c].) Hint: Replace each node i other than 1 and t with two nodes i and i and a connecting arc (i, i ) with flow bounds 0 ≤ xii ≤ 1.

Reference no: EM131122454

Questions Cloud

Explain the difference between a composition and an extensin : In debt reorganization, explain the difference between a composition and an extension.

What accounts are posted from an electronic invoice form : Why aren't special journal totals posted to control accounts at the end of the month in an electronic accounting system?

What determines whether a bankrupt company is reorganized : Basically, what determines whether a bankrupt company is reorganized or liquidated?

Subjects in the other experiment : Two experiments investigated the same variables but one of the experiment had subject who differed greatly from each other whereas the subjects in the other experiment were relatively homogeneous. Which experiment would likely have the larger val..

Formulate this problem as a minimum cost flow problem : Formulate this problem as a minimum cost flow problem. (For an auction algorithm that solves this problem, see Bertsekas and Casta˜non [1993c].) Hint: Replace each node i other than 1 and t with two nodes i and i and a connecting arc (i, i ) with ..

What alternatives are available to the failing firm : What alternatives are available to the failing firm?

What is the sum of the balances in the accounts : What is the balance of the controlling account at June 30?

Describe potential challenge related to payment for services : Develop a brief description of a hypothetical adult patient who has a serious health problem or injury. Imagine this patient lives in your local area. If you are an international student, you may choose a geographic area in the United States or us..

Explain technical insolvency legal insolvency bankruptcy : Explain the differences among the following terms related to financial failure: a. Technical insolvency b. Legal insolvency c. Bankruptcy

User Account

All Pages