A Mathematical Model for the Integrated Optimization of Harvest and Transport Scheduling of Forest Products

Santos, Paulo Amaro Velloso Henriques dos; Silva, Arinei Carlos Lindbeck da; Arce, Júlio Eduardo; Augustynczik, Andrey Lessa Derci

doi:10.3390/f10121110

Cited by 10 publications

(9 citation statements)

References 22 publications

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“…With the advance of new technologies and systems become easier to obtain models that meet the time demands required to solve complex problems in the industry, once is desirable fast solutions in a few hours or days. In such cases, therefore, time represents a valuable resource for companies mainly at the operational level (Santos et al, 2019). Then defi nitely, the computation time may be a limiting factor to the applicability of some optimization techniques (François et al, 2017) as observed in two functions S and S .…”

Section: Discussionmentioning

confidence: 99%

Silvicultural Tasks Scheduling Optimization: A Case Study of Functions and Methods

Mendonça

Lopes

Gomes³

et al. 2022

Rev. Árvore

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Scheduling problems are tasks of the operational routine in companies, which demand an optimal solution to support the decision. However, these problems have not been frequently investigated in forestry science. Therefore, it was proposed to describe a mathematical formulation for silviculture optimization under scheduling restriction of the workforce /sequencing of tasks (SSRCMM). Seeking the most suitable method to solve this combinatorial problem, two strategies were compared: i) Integer Linear Programming (ILP) and ii) simulated annealing (SA). The main criteria to assess strategies’ performance were to provide feasible solutions at an acceptable processing time and final project cost. The instance approached is a real problem outlined in 32 stands and five silvicultural tasks scheduled within a 40-day deadline. Three objective functions were also tested, defining case studies (S) to attend to the recurring managers’ decisions by minimizing: S1 – project cost, S2 – makespan, and S3 – workforce usage. The results reveal a robust model to support the forest planner in operational-level tasks. The ILP achieved the optimal solution only for the minimization of the project cost (S1) due to the delay in processing time of the other case studies. Thus, the SA stands out as an efficient method to solve the SSRCMM by providing satisfactory solutions in a reduced time. All the objective functions fitted properly with their proposed goals. The makespan and workforce usage functions increased by US$1,820.29 (S2) and US$2,146.39 (S3) from the S1, respectively, to finish the project earlier and reduce the oscillation of workforce usage over the days. Facing these findings, it is suggested that future researchers incorporate other challenges in decision-making, involving a multi-objective formulation or methods to reveal new insights for forest management and planning.

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Section: Discussionmentioning

confidence: 99%

Silvicultural Tasks Scheduling Optimization: A Case Study of Functions and Methods

Mendonça

Lopes

Gomes³

et al. 2022

Rev. Árvore

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“…Optimization of the traditional forward product flows of wood is a well-researched area, with problems ranging from harvesting (Santos et al 2019;Mesquita et al 2021) through facility-level decision-making (e.g. sawmilling Maturana et al 2010), cutting pattern optimization (Koch et al 2009) to network-level modeling (Pekka et al 2019).…”

Section: Introductionmentioning

confidence: 99%

Comparison of discrete- and continuous-time models for scheduling waste wood processing facilities

Ősz

Dávid

Hegyháti

2023

Cent Eur J Oper Res

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With the growing significance of environmental awareness, the role of renewable materials and their reuse and recycling possibilities have become increasingly important. Wood is one of the best examples for this, as it is a material that has a variety of primary uses, while also being a prime candidate for reuse and recycling. An important phase in most waste wood value chains is the processing of bulk waste from various sources, usually by means of shredding. This paper presents methods for scheduling the machines in such a waste wood processing facility, where incoming deliveries of different types of wood are processed by a series of treatment and transformation steps to produce shredded wood. Two mathematical models are developed for the problem that both allow overlaps between consecutive steps to optimize resource flow through the system. One of these is a more traditional discrete-time model, while the other is precedence-based and uses continuous-time variables for the timing of the various tasks. Both modeling techniques have their advantages and shortcomings with regard to the ease of integration of further problem-specific parameters and requirements. Next to providing a sound approach for the identified problem class, another aim is to evaluate, which technique suits better for this problem class, and should be used as a basis for extended and integrated cases in the future. Thus, the performance of these models is compared on instances that were randomly generated based on real-world distributions from the literature.

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“…Optimization models related to forestry operations planning have been used in recent years in several academic works, such as case studies in log transportation [3,15], harvesting and transportation [8] and strategic planning problem [6,7,12,16].…”

Section: Introductionmentioning

confidence: 99%

Modelling the forest harvesting tour problem

Viana,

Cancela,

Pradenas

2023

RAIRO-Oper. Res.

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In a globalized market, forest management plans play an important role in the sustainability of forest enterprises. Several optimization processes have therefore been developed to support decision-making in forestry operations. However, important issues remain to be addressed, such as planning the allocation of harvesting areas and scheduling the harvesting teams that are contracted for these purposes. Harvesting schedules include different time scales and natural constraints, so that finding optimal or even good quality ones constitutes a highly complex combinatorial optimization problem. Efficient planning of harvesting operations can significantly reduce the costs associated with logistics and improve the economic performance of companies in the sector. In Uruguay, almost 75\% of total forest harvesting operations for pulp production are carried out by contractor companies, so they are an important player in the supply chain. This study aims to optimize the allocation and routing of the harvesting equipment of forest contractors, which must be located at the sites to be harvested during the year. Numerical experiments over a case study based on realistic data have shown that realistic-sized instances can be resolved by standard mathematical programming software in a reasonable time. The mathematical programming model can also be useful to evaluate potential gains in joint planning by several contractors with respect to the costs incurred by separate planning; as illustrated also with numerical examples over the same case study. This model can be used to support annual forest harvest scheduling and equipment allocation for corporate contractors, leading to better quality plans and improvement opportunities.

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A Mathematical Model for the Integrated Optimization of Harvest and Transport Scheduling of Forest Products

Cited by 10 publications

References 22 publications

Silvicultural Tasks Scheduling Optimization: A Case Study of Functions and Methods

Silvicultural Tasks Scheduling Optimization: A Case Study of Functions and Methods

Comparison of discrete- and continuous-time models for scheduling waste wood processing facilities

Modelling the forest harvesting tour problem

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