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Engineering and Economic Applications of Complementarity Problems
Abstract
This paper gives an extensive documentation of applications of finite-dimensional nonlinear complementarity problems in engineering and equilibrium modeling. For most applications, we describe the problem briefly, state the defining equations of the model, and give functional expressions for the complementarity formulations. The goal of this documentation is threefold: (i) to summarize the essential applications of the nonlinear complementarity problem known to date, (ii) to provide a basis for the continued research on the nonlinear complementarity problem, and (iii) to supply a broad collection of realistic complementarity problems for use in algorithmic experimentation and other studies.
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Cites
The existence, uniqueness and stability of traffic equilibria
Smith, M. J. (1979) · Transportation Research Part B: Methodological · doi:10.1016/0191-2615(79)90022-5 · Cited by 857
Cited by
Error bounds in mathematical programming
Pang, J.-S. (1997) · Mathematical Programming · doi:10.1007/bf02614322 · Cited by 441
Self-citationLocal Convergence of SQP Methods for Mathematical Programs with Equilibrium Constraints
Fletcher, R., Leyffer, S., Ralph, D., & Scholtes, S. (2006) · SIAM Journal on Optimization · doi:10.1137/s1052623402407382 · Cited by 266
Chapter 17 Spatial price analysis
Fackler, P. L., & Goodwin, B. K. (2001) · Handbook of Agricultural Economics · doi:10.1016/s1574-0072(01)10025-3 · Cited by 113
PETSc/TAO Users Manual (Rev. 3.19)
Argonne National Laboratory (ANL), A., Balay, S., USDOE Office of Science (SC), A. S. C. R. (., Abhyankar, S., Adams, M., Benson, S., Brown, J., Brune, P., Buschelman, K., Constantinescu, E., et al. (2023) · doi:10.2172/1968587 · Cited by 67
Metadata
- Authors
- Ferris, M. C., & Pang, J. S.
- Venue
- SIAM Review
- Published
- 1997-01
- Volume
- 39
- Issue
- 4
- Pages
- 669-713
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W2128234186
- Cited by
- 1,081
- References
- 1
- FWCI
- 41.01
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.