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Simulated Annealing and Tabu Search for Discrete-Continuous Project Scheduling with Discounted Cash Flows

Grzegorz Waligóra — 2014

RAIRO - Operations Research - Recherche Opérationnelle

Discrete-continuous project scheduling problems with positive discounted cash flows and the maximization of the are considered. We deal with a class of these problems with an arbitrary number of discrete resources and one continuous, renewable resource. Activities are nonpreemptable, and the processing rate of an activity is a continuous, increasing function of the amount of the continuous resource allotted to the activity at a time. Three common payment models – Lump Sum Payment, Payments at Activity...

Scheduling preemptable jobs on identical processors under varying availability of an additional continuous resource

Rafał RóżyckiGrzegorz WaligóraJan Węglarz — 2016

International Journal of Applied Mathematics and Computer Science

In this work we consider a problem of scheduling preemptable, independent jobs, characterized by the fact that their processing speeds depend on the amounts of a continuous, renewable resource allocated to jobs at a time. Jobs are scheduled on parallel, identical machines, with the criterion of minimization of the schedule length. Since two categories of resources occur in the problem: discrete (set of machines) and continuous, it is generally called a discrete-continuous scheduling problem. The...

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