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| Content Provider | ACM Digital Library |
|---|---|
| Author | Zenios, Stavros A. Pinar, Mustafa Ç. |
| Copyright Year | 1994 |
| Abstract | We describe the development of a data-level, massively parallel, software system for the solution of multicommodity network flow problems. Using a smooth linear-quadratic penalty (LQP) algorithm we transform the multicommodity network flow problem into a sequence of independent min-cost network flow subproblems. The solution of these problems is coordinated via a simple, dense, nonlinear master program to obtain a solution that is feasible within some user-specified tolerance to the original multicommodity network flow problem. Particular emphasis is placed on the mapping of both the subproblems and master problem data to the processing elements of a massively parallel computer, the Connection Machine CM-2. As a result of this design we can solve large and sparse optimization problems on current SIMD massively parallel architectures. Details of the implementation are reported, together with summary computational results with a set of test problems drawn from a Military Airlift Command application. |
| Starting Page | 531 |
| Ending Page | 552 |
| Page Count | 22 |
| File Format | |
| ISSN | 00983500 |
| e-ISSN | 15577295 |
| DOI | 10.1145/198429.198439 |
| Volume Number | 20 |
| Issue Number | 4 |
| Journal | ACM Transactions on Mathematical Software (TOMS) |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 1994-12-01 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Massively parallel algorithms Multicommodity network problems Parallel optimization |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Software |
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