Poder, Emmanuel and Beldiceanu, Nicolas and Sanlaville, Eric (2004) *Computing a Lower Approximation of the Compulsory Part of a Task with Varying Duration and Varying Resource Consumption.* EJOR, 153 . pp. 239-254.

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## Abstract

This paper considers a generalisation of the classical RCPSP problem: the resource consumption of each task is continuously varying over time and the duration and the start of each task may vary within real intervals. A first contribution is a general model for describing the resource consumption of a task over time. This model is justified when considering continuously divisible resources. The second contribution is the computation of the compulsory part or core time of such a task. The compulsory part gives the task's resource consumption common to all feasible schedules. Hence, it can be used in a global resolution process such as constraint programming or branch and bound approaches. The presented polynomial algorithms use only two particular schedules of that task.

Item Type: | Article |
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ID Code: | 2704 |

Deposited By: | INVALID USER |

Deposited On: | 27 Feb 2008 |

Last Modified: | 18 Nov 2009 16:13 |

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