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Profit-oriented scheduling of resource-constrained projects with flexible capacity constraints

Authors: André Schnabel; Carolin Kellenbrink; Stefan Helber;

Profit-oriented scheduling of resource-constrained projects with flexible capacity constraints

Abstract

AbstractWe consider a novel generalization of the resource-constrained project scheduling problem (RCPSP). Unlike many established approaches for the RCPSP that aim to minimize the makespan of the project for given static capacity constraints, we consider the important real-life aspect that capacity constraints can often be systematically modified by temporarily assigning costly additional production resources or using overtime. We, furthermore, assume that the revenue of the project decreases as its makespan increases and try to find a schedule with a profit-maximizing makespan. Like the RCPSP, the problem is $$\mathcal {NP}$$ NP -hard, but unlike the RCPSP, it turns out that an optimal schedule does not have to be among the set of so-called active schedules. Scheduling such a project is a formidable task, both from a practical and a theoretical perspective. We develop, describe, and evaluate alternative solution encodings and schedule decoding mechanisms to solve this problem within a genetic algorithm framework and we compare the solutions obtained to both optimal reference values and the results of a commercial local search solver called LocalSolver.

Related Organizations
Keywords

HF5001-6182, Economics, heuristics, Local-search, encodings, genetic algorithm, Heuristics, Business, M11, RCPSP, Local search (optimization), overtime, ddc:330, ddc:650, Mathematical optimization, local-search, Dewey Decimal Classification::600 | Technik::650 | Management, Overtime, Scheduling (computing), Job shop scheduling, Management science, C61, Schedule, Genetic algorithm, Solver, Project scheduling, Encodings, Schedule (project management), C44

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Average
Top 10%
gold