A single resource scheduling problem with job-selection flexibility, tardiness costs and controllable processing times
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We consider single-resource scheduling when candidate jobs may be accepted (producing job-specific profit) or rejected. Our solution approaches seek to maximize the profitability of the resulting schedule under job-specific tardiness costs and reducible processing times (at a cost). We present an algorithm that maximizes schedule profit for a given sequence of jobs, along with two heuristic approaches for generating good job sequences. A set of computational tests on randomly generated problem instances demonstrates the relative effectiveness of our proposed heuristic approaches. 2007 Elsevier Ltd. All rights reserved.