Exact algorithm for autonomous dump truck routing in open-pit mines considering coal production

Linying YANG, Lu ZHEN

Front. Eng ››

PDF(1330 KB)
Front. Eng All Journals
PDF(1330 KB)
Front. Eng ›› DOI: 10.1007/s42524-025-4205-0
RESEARCH ARTICLE

Exact algorithm for autonomous dump truck routing in open-pit mines considering coal production

Author information +
History +

Abstract

This study investigates a truck scheduling problem in open-pit mines, which focuses on optimizing truck transportation and commercial coal production. Autonomous dump trucks are essential transportation tools in the mines; they transport the raw coals and rocks excavated by electric shovels to the unloading stations. Raw coals with different calorific values are processed to produce commercial coals for sale. This process requires maintaining a calorific balance between the excavated raw coals and the blended commercial coals. We formulate a mixed-integer linear programming model for the truck scheduling problem in open-pit mines. The objective of this decision model is to minimize the total working time of all trucks. To solve the proposed model efficiently in large-scale instances, a branch-and-price based exact algorithm is devised. Based on real data of an open-pit mine in Holingol, Inner Mongolia, China, numerical experiments are performed to validate the efficiency of the proposed algorithm. The experiment results show that the optimality gap of the proposed algorithm by comparing with CPLEX is zero; and the solution time of CPLEX is 2.46 times that of the proposed algorithm. Moreover, sensitivity analyses are conducted to derive some managerial insights. For example, open-pit mine managers should carefully consider the truck fleet deployment, including the number of trucks and the capacity of trucks. Additionally, the spatial distribution of unloading stations and electric shovels is crucial for enhancing transportation efficiency in open-pit mines.

Graphical abstract

Keywords

open-pit mines / truck transportation / mixed-integer linear programming / branch-and-price

Cite this article

Download citation ▾
Linying YANG, Lu ZHEN. Exact algorithm for autonomous dump truck routing in open-pit mines considering coal production. Front. Eng, https://doi.org/10.1007/s42524-025-4205-0
This is a preview of subscription content, contact us for subscripton.

References

[1]
Afrapoli A M, Tabesh M, Askari-Nasab H, (2019). A multiple objective transportation problem approach to dynamic truck dispatching in surface mines. European Journal of Operational Research, 276( 1): 331–342
CrossRef Google scholar
[2]
Bakhtavar E, Mahmoudi H, (2020). Development of a scenario-based robust model for the optimal truck-shovel allocation in open-pit mining. Computers & Operations Research, 115: 104539
CrossRef Google scholar
[3]
Blom M L, Burt C N, Pearce A R, Stuckey P J, (2014). A decomposition-based heuristic for collaborative scheduling in a network of open-pit mines. INFORMS Journal on Computing, 26( 4): 658–676
CrossRef Google scholar
[4]
Blom M L, Pearce A R, Stuckey P J, (2016). A decomposition-based algorithm for the scheduling of open-pit networks over multiple time periods. Management Science, 62( 10): 3059–3084
CrossRef Google scholar
[5]
Brickey A, Chowdu A, Newman A, Goycoolea M, Godard R, (2021). Barrick’s turquoise ridge gold mine optimizes underground production scheduling operations. INFORMS Journal on Applied Analytics, 51( 2): 106–118
CrossRef Google scholar
[6]
Costa L, Contardo C, Desaulniers G, (2019). Exact branch-price-and-cut algorithms for vehicle routing. Transportation Science, 53( 4): 946–985
CrossRef Google scholar
[7]
Dantzig G B, Wolfe P, (1960). Decomposition principle for linear programs. Operations Research, 8( 1): 101–111
CrossRef Google scholar
[8]
Epstein R, Goic M, Weintraub A, Catalan J, Santibanez P, Urrutia R, Cancino R, Gaete S, Aguayo A, Caro F, (2012). Optimizing long-term production plans in underground and open-pit copper mines. Operations Research, 60( 1): 4–17
CrossRef Google scholar
[9]
Goycoolea M, Lamas P, Pagnoncelli B K, Piazza A, (2021). Lane’s algorithm revisited. Management Science, 67( 5): 3087–3103
CrossRef Google scholar
[10]
Haonan Z, Samavati M, Hill A J, (2021). Heuristics for integrated blending optimisation in a mining supply chain. Omega, 102: 102373
CrossRef Google scholar
[11]
Hernandez F, Feillet D, Giroudeau R, Naud O, (2016). Branch-and-price algorithms for the solution of the multi-trip vehicle routing problem with time windows. European Journal of Operational Research, 249( 2): 551–559
CrossRef Google scholar
[12]
Jélvez E, Morales N, Nancel-Penard P, Cornillier F, (2020). A new hybrid heuristic algorithm for the precedence constrained production scheduling problem: a mining application. Omega, 94: 102046
CrossRef Google scholar
[13]
Li B, Ouyang Y, Li X, Cao D, Zhang T, Wang Y, (2023). Mixed-integer and conditional trajectory planning for an autonomous mining truck in loading/dumping scenarios: A global optimization approach. IEEE Transactions on Intelligent Vehicles, 8( 2): 1512–1522
CrossRef Google scholar
[14]
Li J G, Zhan K, (2018). Intelligent mining technology for an underground metal mine based on unmanned equipment. Engineering, 4( 3): 381–391
CrossRef Google scholar
[15]
Matamoros M E V, Dimitrakopoulos R, (2016). Stochastic short-term mine production schedule accounting for fleet allocation, operational considerations and blending restrictions. European Journal of Operational Research, 255( 3): 911–921
CrossRef Google scholar
[16]
Nesbitt P, Sipeki L, Flamand T, Newman A M, (2020). Optimizing underground mine design with method-dependent precedences. IISE Transactions, 53( 6): 643–656
CrossRef Google scholar
[17]
Newman A M, Rubio E, Caro R, Weintraub A, Eurek K, (2010). A review of operations research in mine planning. Interfaces, 40( 3): 222–245
CrossRef Google scholar
[18]
Noriega R, Pourrahimian Y, Askari-Nasab H, (2025). Deep reinforcement learning based real-time open-pit mining truck dispatching system. Computers & Operations Research, 173: 106815
CrossRef Google scholar
[19]
Patterson S R, Kozan E, Hyland P, (2017). Energy efficient scheduling of open-pit coal mine trucks. European Journal of Operational Research, 262( 2): 759–770
CrossRef Google scholar
[20]
Riquelme-Rodríguez J P, Gamache M, Langevin A, (2016). Location arc routing problem with inventory constraints. Computers & Operations Research, 76: 84–94
CrossRef Google scholar
[21]
Samavati M, Essam D, Nehring M, Sarker R, (2020). Production planning and scheduling in mining scenarios under IPCC mining systems. Computers & Operations Research, 115: 104714
CrossRef Google scholar
[22]
Shishvan M S, Benndorf J, (2019). Simulation-based optimization approach for material dispatching in continuous mining systems. European Journal of Operational Research, 275( 3): 1108–1125
CrossRef Google scholar
[23]
Souza M J F, Coelho I M, Ribas S, Santos H G, Merschmann L H C, (2010). A hybrid heuristic algorithm for the open-pit-mining operational planning problem. European Journal of Operational Research, 207( 2): 1041–1051
CrossRef Google scholar
[24]
Ta C H, Ingolfsson A, Doucette J, (2013). A linear model for surface mining haul truck allocation incorporating shovel idle probabilities. European Journal of Operational Research, 231( 3): 770–778
CrossRef Google scholar
[25]
Tian F, Zhou R, Li Z, Li L, Gao Y, Cao D, Chen L, (2021). Trajectory planning for autonomous mining trucks considering terrain constraints. IEEE Transactions on Intelligent Vehicles, 6( 4): 772–786
CrossRef Google scholar
[26]
Yang Q, Ai Y, Teng S, Gao Y, Cui C, Tian B, Chen L, (2023). Decoupled real-time trajectory planning for multiple autonomous mining trucks in unloading areas. IEEE Transactions on Intelligent Vehicles, 8( 10): 4319–4330
CrossRef Google scholar
[27]
Zhang L, Shan W, Zhou B, Yu B, (2023). A dynamic dispatching problem for autonomous mine trucks in open-pit mines considering endogenous congestion. Transportation Research Part C, Emerging Technologies, 150: 104080
CrossRef Google scholar
[28]
Zhang X, Guo A, Ai Y, Tian B, Chen L, (2022). Real-time scheduling of autonomous mining trucks via flow allocation-accelerated tabu search. IEEE Transactions on Intelligent Vehicles, 7( 3): 466–479
CrossRef Google scholar

Competing Interests

The authors declare that they have no competing interests.

RIGHTS & PERMISSIONS

2025 Higher Education Press
AI Summary AI Mindmap
PDF(1330 KB)

41

Accesses

0

Citations

Detail

Sections
Recommended

/