A Reach and Bound algorithm for acyclic dynamic-programming networks
dc.contributor.author | Bailey, Matthew D. | en_US |
dc.contributor.author | Smith, Robert L. | en_US |
dc.contributor.author | Alden, Jeffrey Morgan | en_US |
dc.date.accessioned | 2008-08-04T15:13:31Z | |
dc.date.available | 2009-08-12T18:32:18Z | en_US |
dc.date.issued | 2008-08 | en_US |
dc.identifier.citation | Bailey, Matthew D.; Smith, Robert L.; Alden, Jeffrey M. (2008). "A Reach and Bound algorithm for acyclic dynamic-programming networks." Networks 52(1): 1-7. <http://hdl.handle.net/2027.42/60450> | en_US |
dc.identifier.issn | 0028-3045 | en_US |
dc.identifier.issn | 1097-0037 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/60450 | |
dc.description.abstract | Node pruning is a commonly used technique for solution acceleration in a dynamic-programming network. In pruning, nodes are adaptively removed from the dynamic programming network when they are determined not to lie on an optimal path. We introduce an [epsiv]-pruning condition that extends pruning to include a possible error in the pruning step. This results in a greater reduction of the computation time; however, as a result of the inclusion of this error, the solution can be suboptimal or possibly infeasible. This condition requires the ability to compare the costs of an optimal path from a node to a terminal node. Therefore, we focus on the class of acyclic dynamic programming networks with monotonically decreasing optimal costs-to-go. We provide an easily implementable algorithm, Reach and Bound, which maintains feasibility and bounds the solution's error. We conclude by illustrating the applicability of Reach and Bound on a problem of single location capacity expansion. © 2007 Wiley Periodicals, Inc. NETWORKS, 2008 | en_US |
dc.format.extent | 115308 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.publisher | Wiley Subscription Services, Inc., A Wiley Company | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | Electronic, Electrical & Telecommunications Engineering | en_US |
dc.title | A Reach and Bound algorithm for acyclic dynamic-programming networks | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Industrial and Operations Engineering | en_US |
dc.subject.hlbsecondlevel | Management | en_US |
dc.subject.hlbsecondlevel | Economics | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.subject.hlbtoplevel | Business | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Industrial and Operations Engineering, University of Michigan, Michigan | en_US |
dc.contributor.affiliationother | Management Department, Bucknell University, Lewisburg, Pennsylvania ; Management Department, Bucknell University, Lewisburg, Pennsylvania | en_US |
dc.contributor.affiliationother | General Motors Research and Development Center, Warren, Michigan | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/60450/1/20219_ftp.pdf | |
dc.identifier.doi | http://dx.doi.org/10.1002/net.20219 | en_US |
dc.identifier.source | Networks | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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