Abstract
We identify a block structure, typically found in resource-constrained project schedules, that yields a natural decomposition of the original problem into a series of smaller subproblems. Reducing the makespan of any subproblem has the effect of reducing the total makespan by an equivalent amount. Since these subproblems can be independently reoptimized, this block structure provides a way of improving schedules generated by heuristic methods. We report computational results of applying this technique to problems containing up to five resources and on the order of 200 activities, and speculate as to its applicability to more powerful local search based heuristics.
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References
R. Alvarez-Valdéz and J.M. Tamarit, Heuristic Algorithms for Resource-Constrained Project Scheduling: A Review and an Empirical Analysis, in: Advances in Project Scheduling, eds. R. Slowiňski and J. Weglarz (Elsevier Science Publishers, Amsterdam, 1989) p. 113.
K.R. Baker, Introduction to Sequencing and Scheduling, (Wiley, New York, 1974).
J. Blazewicz, J.K. Lenstra and A.H.G. Rinnooy Kan, Scheduling Subject to Resource Constraints: Classification and Complexity, Discrete Applied Mathematics, 5 (1983) 11.
F.F. Boctor, Some Efficient Multi-Heuristic Procedures for Resource-Constrained Project Scheduling, European Journal of Operational Research 49 (1990) 3.
D.F. Cooper, Heuristics for Scheduling Resource-Constrained Projects: An Experimental Investigation, Management Science 22 (1976) 1186.
E.W. Davis, Project Scheduling under Resource Constraints-Historical Review and Categorization of Procedures, AIIE Transactions 5 (1973) 297.
E.W. Davis and J.H. Patterson, A Comparison of Heuristic and Optimum Solutions in Resource-Constrained Project Scheduling, Management Science 21 (1975) 944.
E. Demeulemeester and W. Herroelen, A Branch-and-Bound Procedure for the Multiple Resource-Constrained Project Scheduling Problem, Management Science 38 (1992) 1803.
M.R. Garey, R.L. Graham, D.S. Johnson and A.C.C. Yao, Resource Constrained Scheduling as Generalized Bin Packing, Journal of Combinatorial Theory (A) 21 (1976) 257.
J. Kelly and M. Walker, Scheduling Activities to Satisfy Resource Constraints, in: Industrial Scheduling, eds. J. Muth and G. Thompson (Prentice Hall, Englewood Cliffs, NJ, 1963).
S.R. Lawrence and T.E. Morton, Resource-Constrained Multi-Project Scheduling with Tardy Costs: Comparing Myopic, Bottleneck, and Resource Pricing Heuristics, European Journal of Operational Research 64 (1993) 168.
S.R. Lawrence, A Computational Comparison of Heuristic Scheduling Techniques, Working paper, Graduate School of Industrial Administration, Carnegie-Mellon University (1985).
K.Y. Li and R.J. Willis, An Iterative Scheduling Technique for Resource-Constrained Project Scheduling, European Journal of Operational Research 56 (1992) 370.
L. Özdamar and G. Ulusoy, A Survey on the Resource-Constrained Project Scheduling Problem, IEE Transactions (to appear).
J.H. Patterson, A Comparison of Exact Approaches for Solving the Multiple Constrained Resource, Project Scheduling Problem, Management Science 30 (1984) 854.
J.H. Patterson, Project Scheduling: The Effects of Problem Structure on Heuristic Performance, Naval Research Logistics Quarterly 23 (1976)
G. Ulusoy and L. Özdamar, Heuristic Performance and Network/Resource Characteristics in Resource-Constrained Project Scheduling, Journal of the Operational Research Society 40 (1989) 1145.
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© 1996 Kluwer Academic Publishers
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Mausser, H.E., Lawrence, S.R. (1996). Exploiting Block Structure to Improve Resource-Constrained Project Schedules. In: Osman, I.H., Kelly, J.P. (eds) Meta-Heuristics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1361-8_13
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DOI: https://doi.org/10.1007/978-1-4613-1361-8_13
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