A dimension-reduced method of sensitivity analysis for stochastic user equilibrium assignment model
This paper gives a new dimension-reduced method of sensitivity analysis for perturbed stochastic user equilibrium assignment (SUEA) model based on the relation between its Lagrange function and logarithmic barrier function combined with a Courant quadratic penalty term. The advantage of this method...
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| Veröffentlicht in: | Applied mathematical modelling 2010-02, Vol.34 (2), p.325-333 |
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| container_title | Applied mathematical modelling |
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| creator | Liu, Jianmei Ma, Shoufeng Huang, Chongchao Ma, Shuaiqi |
| description | This paper gives a new dimension-reduced method of sensitivity analysis for perturbed stochastic user equilibrium assignment (SUEA) model based on the relation between its Lagrange function and logarithmic barrier function combined with a Courant quadratic penalty term. The advantage of this method is of smaller dimension than general sensitivity analysis and reducing complexity. Firstly, it presents the dimension-reduced sensitivity results of the general nonlinear programming perturbation problem and the improved results when the objective or constraint functions are not twice continuously differentiable. Then it proves the corresponding conclusion of SUEA with smooth or non-smooth cost functions by the method of converting constraint conditions and decision variables. Finally, two corresponding examples (smooth and non-smooth) are given to illustrate the feasibility of this method. |
| doi_str_mv | 10.1016/j.apm.2009.04.012 |
| format | Article |
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The advantage of this method is of smaller dimension than general sensitivity analysis and reducing complexity. Firstly, it presents the dimension-reduced sensitivity results of the general nonlinear programming perturbation problem and the improved results when the objective or constraint functions are not twice continuously differentiable. Then it proves the corresponding conclusion of SUEA with smooth or non-smooth cost functions by the method of converting constraint conditions and decision variables. Finally, two corresponding examples (smooth and non-smooth) are given to illustrate the feasibility of this method.</description><identifier>ISSN: 0307-904X</identifier><identifier>DOI: 10.1016/j.apm.2009.04.012</identifier><identifier>CODEN: AMMODL</identifier><language>eng</language><publisher>Kidlington: Elsevier Inc</publisher><subject>Applied sciences ; Dimension-reduced sensitivity analysis ; Exact sciences and technology ; Flows in networks. 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Combinatorial problems</subject><subject>Ground, air and sea transportation, marine construction</subject><subject>Mathematical programming</subject><subject>Non-smoothness</subject><subject>Nonlinear program</subject><subject>Operational research and scientific management</subject><subject>Operational research. 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| ispartof | Applied mathematical modelling, 2010-02, Vol.34 (2), p.325-333 |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Applied sciences Dimension-reduced sensitivity analysis Exact sciences and technology Flows in networks. Combinatorial problems Ground, air and sea transportation, marine construction Mathematical programming Non-smoothness Nonlinear program Operational research and scientific management Operational research. Management science Penalty function Road transportation and traffic SUEA |
| title | A dimension-reduced method of sensitivity analysis for stochastic user equilibrium assignment model |
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