Scheduling subject to resource constraints: classification and complexity

Błażewicz, Jacek; Lenstra, Jan Karel; Kan, A. H. G. Rinnooy

doi:10.1016/0166-218x(83)90012-4

Cited by 1,186 publications

(579 citation statements)

References 7 publications

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“…The combinatorial nature of the RCPSP makes it NP-hard [2] problem. Analogously, the solution of MS-RCPSP is a feasible schedule -the one in which resource units and precedence constraints are preserved.…”

Section: Formulation Of Ms-rcpspmentioning

confidence: 99%

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Co-Evolutionary Algorithm solving Multi-Skill Resource-Constrained Project Scheduling Problem

Myszkowski¹,

Laszczyk²,

Kalinowski³

2017

Annals of Computer Science and Information Systems

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Abstract-This paper presents methods solving MS-RCPSP as a main task-resource-time assignment optimization problem. In the paper there are presented four variants of Evolutionary Algorithm applied to MS-RCPSP problem: concerning prioritization the tasks (or resources), combined task-resources prioritizing approach and co-evolution based approach that effectively solves problem dividing it to two subproblems. All approaches are examined using benchmark MS-RCPSP iMOPSE dataset and results show that the problem decomposition is effective. All experiments are described, statistically verified and summarized. Conclusions and promising areas of future work are presented.

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Section: Formulation Of Ms-rcpspmentioning

confidence: 99%

“…[3][12] [8]) as extension of RCPSP [4]. It is NP-hard [2] and there is no effective algorithm to solve it. Thus, several types of (meta)heuristic methods can be effectively applied.…”

Section: Introductionmentioning

confidence: 99%

Co-Evolutionary Algorithm solving Multi-Skill Resource-Constrained Project Scheduling Problem

Myszkowski¹,

Laszczyk²,

Kalinowski³

2017

Annals of Computer Science and Information Systems

View full text Add to dashboard Cite

show abstract

“…Methods that consider task dependencies are usually extensions of the job shop scheduling problem, which is NP-complete [40]. The Resource Constrained Project Scheduling Problem (RCPSP) is a prominent extension for which the fastest solutions use genetic algorithms and metaheuristics [41].…”

Section: Related Workmentioning

confidence: 99%

Verifying distributed real-time properties of embedded systems via graph transformations and model checking

2006

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Component middleware provides dependable and efficient platforms that support key functional, and quality of service (QoS) needs of distributed real-time embedded (DRE) systems. Component middleware, however, also introduces challenges for DRE system developers, such as evaluating the predictability of DRE system behavior, and choosing the right design alternatives before committing to a specific platform or platform configuration. Model-based technologies help address these issues by enabling design-time analysis, and providing the means to automate the development, deployment, configuration, and integration of component-based DRE systems. To this end, this paper applies model checking techniques to DRE design models using model transformations to verify key QoS properties of component-based DRE systems developed using Real-time CORBA. We introduce a formal semantic domain for a general class of DRE systems that enables the verification of distributed non-preemptive real-time scheduling. Our results show that model-based techniques enable design-time analysis of timed properties and can be applied to effectively predict, simulate, and verify the event-driven behavior of component-based DRE systems.

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“…The Resource-Constrained Project Scheduling Problem (RCPSP, see Błazewicz, Lenstra and Kan (1983) as well as Brucker et al (1999)) provides a framework for the formalization of scheduling problems. We take it as a starting point for the description of DM problems due to the following reasons.…”

Section: The Extended Rcpspmentioning

confidence: 99%