A Continuous-Time Mixed-Binary Linear Programming Formulation for the Multi-Site Resource-Constrained Project Scheduling Problem

Gnägi, Mario; Trautmann, Norbert (16 December 2019). A Continuous-Time Mixed-Binary Linear Programming Formulation for the Multi-Site Resource-Constrained Project Scheduling Problem. In: IEEE International Conference on Industrial Engineering and Engineering Management (IEEM).. Macau. 15.-18.12.2019.

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The execution of a project is nowadays often distributed among multiple sites. While some resource units are available at a certain site only, other resource units can be moved across the sites. The problem considered here consists of scheduling a single projects’ activities which are interrelated by given precedence relationships of the completion-start type, require various renewable resource types during execution, and can be executed at the different sites of the project, such that the project makespan is minimized; transportation times must be taken into account if a resource unit is moved between two sites, or if two activities interrelated by a precedence relationship are executed at different sites. We present a continuous-time formulation of this problem as a mixed-binary linear program. In an experiment based on a set of 480 instances, we compared the performance of this novel formulation with a discrete-time formulation, which is the only formulation known from the literature; it turned out that when using the novel continuoustime formulation, considerably more instances can be solved to feasibility and to optimality, respectively.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

03 Faculty of Business, Economics and Social Sciences > Department of Business Management > Institute of Financial Management > Professorship for Quantitative Methods in Business Administration

UniBE Contributor:

Gnägi, Mario, Trautmann, Norbert

Subjects:

600 Technology > 650 Management & public relations

Series:

Proceedings of the 2019 IEEE International Conference on Industrial Engineering and Engineering Management

Language:

English

Submitter:

Juliana Kathrin Moser-Zurbrügg

Date Deposited:

21 Jan 2020 11:31

Last Modified:

05 Dec 2022 15:35

BORIS DOI:

10.7892/boris.138875

URI:

https://boris.unibe.ch/id/eprint/138875

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