A polynomial-time implementation of Pla´s method to solve the MCT problem
|
| Title | A polynomial-time implementation of Pla´s method to solve the MCT problem |
| Authors | |
| Abstract | The first algorithm to solve the minimum cost tension problem(MCT problem) is the out-of-kilter method of Pla[17]. Hadjiat[10] proved that Pla´s method is not a polynomial algorithm. Recently, Ghiyasvand[7] presented a polynomial time algorithm to solve MCT problem. In this paper, we extend the idea of [7] to present a polynomial-time implementation of Pla´s method to solve the MCT problem. Our algorithm runs in $O(m^2 n log(nC))$-time, where $n, m, C$ denote the number of nodes, number of arcs, and maximum absolute value of an arc cost, respectively. |
| Publisher | Advances in Computational Mathematics and its Applications |
| Date | 2012-05-06 |
| Source | 2167-6356 |
| Rights | Copyright NoticeProposed Creative Commons Copyright Notices1. Proposed Policy for Journals That Offer Open AccessAuthors who publish with this journal agree to the following terms:Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work´s authorship and initial publication in this journal.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal´s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).Proposed Policy for Journals That Offer Delayed Open AccessAuthors who publish with this journal agree to the following terms:Authors retain copyright and grant the journal right of first publication, with the work [SPECIFY PERIOD OF TIME] after publication simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work´s authorship and initial publication in this journal.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal´s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access). |