Modeling side slopes in vertical alignment resource road construction using convex optimization

Abstract

A new convex quadratically‐constrained quadratic programming (QCQP) model is proposed for modeling side‐slopes volumes in the minimization of earthwork operations to compute the vertical alignment of a resource road while satisfying design and safety constraints. The new QCQP model is convex but nonlinear; it is compared to a state‐of‐the‐art mixed integer linear programming (MILP) model. The QCQP model can be viewed as the limit of this MILP model. Numerical results show that for roads with less than 100 stations, the QCQP model has similar computation time to the MILP model. However, the QCQP model significantly outperforms the MILP model for other roads, in some cases finding a global optimum in minutes while the MILP model fails to find any solution in hours. The technique is directly applicable for resource roads and has potential for other types of road.

Mountain railway alignment optimization based on landform recognition and presetting of dominating structures

“…Various mathematical programming methods, such as linear programming (LP) (Easa, 1988;Moreb, 1996), mixed integer linear programming (MILP) (Momo et al, 2023;Monnet et al, 2020;Vázquez-Méndez et al, 2021), and sequential quadratic programming (SQP) (Casal et al, 2017) have been successfully applied for alignment optimization. Some two-stage optimization methods that integrate MILP and SQP (Vázquez-Méndez et al, 2018), or MILP and derivative-free optimization solvers (Mondal et al, 2015) have also been designed for improving the performance of a single optimization method.…”

“…In this condition, it is extremely difficult for this “alignments before structures” design process to find a better dominating structure layout compared with a good manually designed one. Among mathematical programming optimization methods, a branch‐and‐bound approach (Momo et al., 2023) is widely applied for configuring structures before computing the alignments, but the structures and alignments are still optimized concurrently. In this situation, the influence of nondominating alignment sections on alignment fitness may be exaggerated and the dominating structures may not be properly located in a study area with dominating landforms.…”

Research on Intelligent Monitoring Technology of Municipal Road and Bridge Engineering Construction and Quality

“…The rapid socio-economic development and the growing strength of the country are inseparable from the construction of roads and bridges throughout the vast mountainous and forested areas of China [1][2][3]. However, due to the lack of timely safety monitoring, landslides and other disasters on the slopes of roads in forested areas have caused great inconvenience to the people's utilization of forests, not only destroying our living environment but also causing road blockage, burying villages, damaging vehicles, and even injuries and deaths if landslides occur suddenly [4][5][6].…”

“…Dong Wang. Applied Mathematics and Nonlinear Sciences, 9(1) (2024)[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] …”