Scheduling modular projects on a bottleneck resource

  • Authors:
  • Kris Coolen;Wenchao Wei;Fabrice Talla Nobibon;Roel Leus

  • Affiliations:
  • ORSTAT, Faculty of Business and Economics, KU Leuven, Leuven, Belgium 3000;ORSTAT, Faculty of Business and Economics, KU Leuven, Leuven, Belgium 3000;ORSTAT, Faculty of Business and Economics, KU Leuven, Leuven, Belgium 3000 and QuantOM, HEC-Management School, University of Liège, Liège, Belgium 4000;ORSTAT, Faculty of Business and Economics, KU Leuven, Leuven, Belgium 3000

  • Venue:
  • Journal of Scheduling
  • Year:
  • 2014

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Abstract

In this paper, we model a research-and-development project as consisting of several modules, with each module containing one or more activities. We examine how to schedule the activities of such a project in order to maximize the expected profit when the activities have a probability of failure and when an activity's failure can cause its module and thereby the overall project to fail. A module succeeds when at least one of its constituent activities is successfully executed. All activities are scheduled on a scarce resource that is modeled as a single machine. We describe various policy classes, establish the relations among them, develop exact algorithms to optimize over two different classes (one dynamic program and one branch-and-bound algorithm), and examine the computational performance of the algorithms on two randomly generated instance sets.