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http://hdl.handle.net/10397/77786
| Title: | A general iterative approach for the system-level joint optimization of pavement maintenance, rehabilitation, and reconstruction planning | Authors: | Zhang, L Fu, L Gu, W Ouyang, Y Hu, Y |
Issue Date: | Nov-2017 | Source: | Transportation research. Part B, Methodological, Nov. 2017, v. 105, p. 378-400 | Abstract: | We formulate a general bottom-up model for the joint optimization of maintenance, rehabilitation, and reconstruction (MR&R) schedules for a system of heterogeneous pavement segments under budget constraints. The objective is to minimize the total costs incurred to both the highway users and the pavement management agency. We propose a Lagrange multiplier approach together with derivative-free quasi-Newton algorithms to solve the problem for two scenarios: i) with a combined budget constraint for all the treatments; and ii) with one budget constraint for each treatment. The system-level solution approach has the following merits: i) it can be applied to problems with any forms of segment-level models for user and agency costs, deterioration process, and treatment effectiveness, given that the solution to the segment-level problem is available; ii) under the combined budget constraint, it ensures that the optimality gap of the system-level solution is bounded by a term that depends upon the optimality gap of the segment-level solutions; and iii) it exhibits linear complexity with the number of segments. At the segment level, a new maintenance effectiveness model fitted on empirical data is proposed and incorporated into the MR&R optimization program. A greedy heuristic algorithm is developed, which greatly reduces the computation time without compromising the solution quality. Combining the system- and segment-level models and solution algorithms, we examine a batch of numerical cases. The results show considerable cost savings from the incorporation of maintenance, and from jointly optimizing the use of a combined agency budget. A number of managerial insights stemmed from the numerical case studies are discussed, which can help highway agencies formulate more cost-efficient MR&R plans and budget allocation. | Keywords: | Budget constraints Lagrange multiplier Preventive maintenance model Quasi-Newton methods System-level MR&R planning |
Publisher: | Pergamon Press | Journal: | Transportation research. Part B, Methodological | ISSN: | 0191-2615 | EISSN: | 1879-2367 | DOI: | 10.1016/j.trb.2017.09.014 | Rights: | © 2017 Elsevier Ltd. All rights reserved. © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. |
| Appears in Collections: | Journal/Magazine Article |
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|---|---|---|---|---|
| 1700_Manuscript_TRB_1878.pdf | Pre-Published version | 2.25 MB | Adobe PDF | View/Open |
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