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Research Article

Solving the project scheduling problem with dependent resource constraints

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Received 16 Feb 2024, Accepted 03 Jul 2024, Published online: 02 Aug 2024
 

ABSTRACT

Most resource-constrained project scheduling problems consider resources that are independent of the job processing sequence. However, solving project scheduling problems in some industrial manufacturing is challenging because the required resources depend on the job processing sequence in existing scheduling approaches. To address this issue, this paper proposes a dependent resource-constrained project scheduling problem formulated with two types of models: a conceptual model and a binary integer programming model. The performance of four proposed algorithms – binary integer programming, reduced subproblem of the binary integer programming, job sequence assignment, and job as early as possible – is tested on 68 combinations of numerical simulation experiments. The computational results show that the job as early as possible algorithm can find a better approximate solution for solving real-world problems. This achievement aids project managers in generating activity schedules and finding the approximate minimum makespan for a project with dependent resource constraints.

Graphical abstract

Abbreviations

Abbreviation=

Definition

BIP=

Binary integer programming

DRCPSP=

Dependent resource-constrained project scheduling problem

JAEAP=

Job as early as possible assignment rule

JPS=

Job processing sequence

JSA=

Job sequence assignment rule

RCPSP=

Resource-constrained project scheduling problem

rsBIP=

Reduced subproblem of binary integer programming

Disclosure statement

No potential conflict of interest was reported by the author(s).

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