Scheduling an R&D Project with Quality-Dependent Time Slots

In this paper we introduce the concept of quality-dependent time slots in the project scheduling literature. Quality-dependent time slots refer to pre-defined time windows where certain activities can be executed under ideal circumstances (optimal level of quality). Outside these time windows, there is a loss of quality due to detrimental effects. The purpose is to select a quality-dependent time slot for each activity, resulting in a minimal loss of quality. The contribution of this paper is threefold. First, we show that an R&D project from the bio-technology sector can be transformed to a resource-constrained project scheduling problem (RCPSP). Secondly, we propose an exact search procedure for scheduling this project with the aforementioned quality restrictions. Finally, we test the performance of our procedure on a randomly generated problem set.

[1]  Erik Demeulemeester,et al.  RanGen: A Random Network Generator for Activity-on-the-Node Networks , 2003, J. Sched..

[2]  Erik Demeulemeester,et al.  On Maximizing the Net Present Value of a Project Under Renewable Resource Constraints , 2001, Manag. Sci..

[3]  Rolf H. Möhring,et al.  On project scheduling with irregular starting time costs , 2001, Oper. Res. Lett..

[4]  Erik Demeulemeester,et al.  Progress payments in project scheduling problems , 2003, Eur. J. Oper. Res..

[5]  Yen-Liang Chen,et al.  Critical path in an activity network with time constraints , 1997, Eur. J. Oper. Res..

[6]  Erik Demeulemeester,et al.  An Exact Procedure for the Resource-Constrained Weighted Earliness–Tardiness Project Scheduling Problem , 2001, Ann. Oper. Res..

[7]  J. E. Falk,et al.  An Algorithm for Separable Nonconvex Programming Problems , 1969 .

[8]  Christoph Schwindt Minimizing Earliness-Tardiness Costs of Resource-Constrained Projects , 2000 .

[9]  Walter O. Rom,et al.  Ensuring quality in resource constrained project scheduling , 1997 .

[10]  Reiner Horst,et al.  Deterministic methods in constrained global optimization: Some recent advances and new fields of application , 1990 .

[11]  Dicky C. K. Yan,et al.  Designing tributary networks with multiple ring families , 1998, Comput. Oper. Res..

[12]  Rolf H. Möhring,et al.  Resource-constrained project scheduling: Notation, classification, models, and methods , 1999, Eur. J. Oper. Res..

[13]  Bert De Reyck,et al.  A branch-and-bound procedure for the resource-constrained project scheduling problem with generalized precedence relations , 1998, Eur. J. Oper. Res..

[14]  Yen-Liang Chen,et al.  Finding the critical path in an activity network with time-switch constraints , 2000, Eur. J. Oper. Res..

[15]  Erik Demeulemeester,et al.  A branch-and-bound procedure for the multiple resource-constrained project scheduling problem , 1992 .

[16]  S. Selcuk Erenguc,et al.  A Branch and Bound Procedure for the Resource Constrained Project Scheduling Problem with Discounted Cash Flows , 1996 .