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Page 1. fi(r' ���-c���{ ���L���-' An Adaptive Problen]-Sohing S@lkm to I.arge-Scale Scheduling Problems Jonathan Gratch Stew Chicn IIccklllan lnstitllte Jet I'mpulsion I.aboratory Univcrsily oflllinois California lastitate of Technology 405 N. Matbcws Av., Urbana, 11.61801 4800 Oak Grove lhivc, l'asadena,CA91109-8099 gratcll@~cs.LliLlc. cclLl cbicn(laip,. jp]. nasa. gov Abstract AlthouglI the general class of most scheduling problems is NP-hard, in practice, domain-specific techniques frcqucnt]y SOIVC problems in much better than cxponcnlia] time.
1994
Abstract Although the general class of most scheduling problems is NP-hard in worst-case complexity, in practice, domain-specific techniques frequently solve problems in much better than exponential time. Unfortunately, constructing special-purpose systems is a knowledge���intensive and time-consuming process that requires a deep understanding of the domain and problem-solving architecture.
NASA has a need for planning and scheduling systems that are expressive enough to encode real-world problems, flexible enough to keep up with shifting problem requirements, and powerful enough to provide high quality solutions within reasonable time bounds. These competing demands are particularly difficult to meet for the many NASA planning and scheduling problems that contain interacting combinatorial optimization sub-problems. General purpose planners are expressive and flexible, but perform poorly on these complex problems. Combinatorial optimization solvers have excellent perfonnance, but are only applicable to sub-problems. This paper describes a simple method for integrating certain kinds of combinatorial sub-problem solvers within a general purpose plannerhcheduler framework that demonstrably increases solution speed and quality.
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