The bilevel optimisation of a multi-agent project scheduling and staffing problem

Milicka, Pavel; Šůcha, Přemysl; Vanhoucke, Mario; Maenhout, Broos

doi:10.1016/j.ejor.2021.03.028

Cited by 11 publications

(3 citation statements)

References 38 publications

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“…Stackelberg game Bracken and McGill (1973) first studied and proposed bilevel optimization, which is mathematical programming. This programming involves two kinds of decision-makers, which belong to different decision-making levels (Milička et al, 2022). These decision-makers act and react in a non-cooperative and sequential manner, such as in the Stackelberg game (Alekseeva et al, 2017;Du et al, 2019).…”

Section: Bilevel Optimization Under Amentioning

confidence: 99%

Two‐sided networks coordination for manufacturing technology standards' diffusion from home to host countries: A one‐leader and multiple‐followers Stackelberg game with multiple objectives

Zhou,

Wu,

Chen

et al. 2024

Manage Decis Econ

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An optimization model is necessary to depict and induce the volatility and irregularity of manufacturing technology standard (MTS) diffusion processes to ensure that the standard can be widely adopted by related stakeholders in host countries. This paper clarifies the two‐sided network coordination of MTS's transactional diffusion, consisting of new product diffusion among users and new technology diffusion among local suppliers. A procurement contract is introduced to connect and coordinate the two‐sided networks. The manufacturer from the home country is responsible for the contract design, which aims to maximize its net revenue by considering the product diffusion processes. Local suppliers determine whether to accept the contract. The decision‐making objectives of the contract acceptance for each local supplier are to maximize the net revenue and minimize workload fluctuation. The new standard‐based products are produced and sold by the manufacturer. The corresponding local supplier adopts new standard‐based technologies and supplies components for final product production if a contract is accepted. Therefore, a one‐leader and multiple‐follower Stackelberg game is proposed to figure out the best solution after coordinating the multiple objectives of each participant. The contract design and the contract acceptance are the leader and the follower, respectively. Analytical solutions under a specific MTS for refrigerator production are developed incorporating a nested Non‐dominated Sorting Genetic Algorithm‐II. The results demonstrate that the proposed method can efficiently coordinate the two‐sided networks of MTS diffusion and balance the net revenue of all related stakeholders.

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Section: Bilevel Optimization Under Amentioning

confidence: 99%

Two‐sided networks coordination for manufacturing technology standards' diffusion from home to host countries: A one‐leader and multiple‐followers Stackelberg game with multiple objectives

Zhou,

Wu,

Chen

et al. 2024

Manage Decis Econ

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show abstract

“…Under a multi-objective framework, Ahmad et al [3] proposed a simple multi-objective bilevel linear programming method, which considered reservoir managers and multiple water-use departments as a hierarchical structure to optimally allocate limited water resources. More applications of optimisation models can be found in the literature [4][5][6][7][8][9][10][11][12][13].…”

Section: Related Workmentioning

confidence: 99%

An evolutionary algorithm based on approximation method and related techniques for solving bilevel programming problems

Liu

Chen

et al. 2022

PLoS ONE

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In the engineering and economic management fields, optimisation models frequently involve different decision-making levels. These are known as multi-level optimisation problems. Because the decision-making process of such problems are hierarchical, they are also called a hierarchical optimisation problems. When the problem involves only two-level decision-making, the corresponding optimisation model is referred to as a bilevel programming problem(BLPP). To address the complex nonlinear bilevel programming problem, in this study, we design an evolutionary algorithm embedded with a surrogate model-that it is a approximation method and correlation coefficients. First, the isodata method is used to group the initial population, and the correlation coefficients of the individuals in each group are determined based on the rank of the leader and follower objective functions. Second, for the offspring individuals produced by the evolutionary operator, the surrogate model is used to approximate the solution of the follower’s programming problem, during which the points in the population are screened by combining the correlation coefficients. Finally, a new crossover operator is designed by the spherical search method, which diversifies the generated offspring. The simulation experimental results demonstrate that the proposed algorithm can effectively obtain an optimal solution.

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“…Failure to adhere to the payment term that the owner and contractor previously agreed upon constitutes lateness in contractor payments [8,9]. The failure of the contractor to provide complete shop drawings, bills of quantities, invoices, tax returns, and progress reports is the reason for the payment delay [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Reinventing Formulas for Construction Project Delay Index Due to Management and Production

Luthan,

Sitanggang,

Syafriandi

2023

HighTech. Innov. J.

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The objective of this study is to construct a precise formula for the management and production delay indicators that are integrated into Ms. Project's dashboard. Two simulation techniques, such as the manual formula computation and calculation integrated into the Ms. Project dashboard, were employed. Due to management and the production team's tardiness, the data were obtained through trial-and-error methods. Excel was used to analyze the data, and Ms. Project was used to enter the calculations. The research showed that the Ms. Project dashboard formula gave more detailed information about the construction project, including: (1) contract value; (2) actual progress value during monitoring; (3) value of plan progress during monitoring; (4) progress deviation; (5) cause of delay; and (6) management delay index and production delay index. The novelty of this study is that project delays have traditionally been held against the production party (contractor), whereas implementation delays have never been taken against the management party (consultant). However, using this method makes it evident who is responsible for a project delay, whether it comes from management (a consultant) or the manufacturing side (a contractor). Doi: 10.28991/HIJ-2023-04-04-06 Full Text: PDF

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The bilevel optimisation of a multi-agent project scheduling and staffing problem

Cited by 11 publications

References 38 publications

Two‐sided networks coordination for manufacturing technology standards' diffusion from home to host countries: A one‐leader and multiple‐followers Stackelberg game with multiple objectives

Two‐sided networks coordination for manufacturing technology standards' diffusion from home to host countries: A one‐leader and multiple‐followers Stackelberg game with multiple objectives

An evolutionary algorithm based on approximation method and related techniques for solving bilevel programming problems

Reinventing Formulas for Construction Project Delay Index Due to Management and Production

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