Abstract
We work with a project scheduling problem subject to temporal constraints where the resource availability costs have to be minimised. As an extension of the more well known Resource Investment Problem, which considers only time-independent costs, this problem includes both time-independent fixed costs and time-dependent variable renting costs for the resources. Consequently, in addition to projects where all resources are bought, we can deal with projects where resources are rented. Based on a new codification of a solution for project scheduling, we develop a Genetic Algorithm capable of outperforming a branch-and-bound procedure that exists for the problem.
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References
Ahuja, H.N.: Construction performance control by networks. John Wiley, New York (1976)
BallestÃn, F., Schwindt, C., Zimmermann, J.: Resource leveling in make-to-order production: modeling and heuristic solution method. Accepted for the International Journal of Operations Research
Demeulemeester, E.: Minimizing resource availability costs in time-limited project networks. Management Science 41, 1590–1598 (1995)
Drexl, A.: Scheduling of project networks by job assignment. Management Science 37, 1590–1602 (1991)
Goldberg, D.E.: Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, Reading (1989)
Herroelen, W.B., De Reyck, B., Demeulemeester, E.: Resource-Constrained Project Scheduling: A Survey of Recent Developments. Computers and Operations Research 25(4), 279–302 (1998)
Holland, H.J.: Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor (1975)
Kolisch, R.: Project Scheduling under Resource Constraints. Springer, Heidelberg (1995)
Kolisch, R., Hartmann, S.: Heuristic algorithms for solving the resource-constrained project scheduling problem: Classification and computational analysis. In: Weglarz, J. (ed.) Project Scheduling: Recent Models, Algorithms and Applications, pp. 147–178. Kluwer Academic Publishers, Berlin (1999)
Kolisch, R., Schwindt, C., Sprecher, A.: Benchmark instances for project scheduling problems. In: Weglarz, J. (ed.) Project scheduling – recent models, algorithms and applications, pp. 197–212. Kluwer, Boston (1999)
Neumann, K., Schwindt, C., Zimmermann, J.: Project Scheduling with Time Windows and Scarce Resources. Springer, Berlin (2003)
Neumann, K., Zimmermann, J.: Procedures for resource leveling and net present value problems in project scheduling with general temporal and resource constraints. European Journal of Operational Research 127, 425–443 (2000)
Nübel, H.: Minimierung der Ressourcenkosten für Projekte mit planungsabhängigen Zeitfenstern. Gabler, Wiesbaden (1999)
Nübel, H.: The resource renting problem subject to temporal constraints. OR Spektrum 23, 359–381 (2001)
Sprecher, A., Kolisch, R., Drexl, A.: Semi-active, active and non-delay schedules for the resource-constrained project scheduling problem. European Journal of Operational Research 80, 94–102 (1995)
Vanhoucke, M., Demeulemeester, E.L., Herroelen, W.S.: An exact procedure for the resource-constrained weighted earliness-tardiness project scheduling problem. Annals of Operations Research 102, 179–196 (2001)
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BallestÃn, F. (2007). A Genetic Algorithm for the Resource Renting Problem with Minimum and Maximum Time Lags. In: Cotta, C., van Hemert, J. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2007. Lecture Notes in Computer Science, vol 4446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71615-0_3
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DOI: https://doi.org/10.1007/978-3-540-71615-0_3
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