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The problem of scheduling a set of tasks on a single (critical) processor under given technological precedence constraints is considered. Before a task is released for processing on the critical processor, it must undergo some preprocessing treatment. This treatment is a dynamic process in which the speed of change of the preprocess state depends on the amount of resource. We assume that the speed...
In the paper, we consider a problem of scheduling a set of tasks on a single processor. Each task must be preprocessed before it can be started on a processor. The efficiency of preprocessing is variable, i.e., the rate of the task preprocessing depends on the amount of continuously divisible resource allotted to this task. This dependency is given by concave, continuous, non-negative and strictly...
The paper deals with a single machine scheduling problem with job processing times dependent on continuously-divisible resource, e.g. gas, power, energy, raw materials, catalyzer, financial outlay. Ready and delivery times are also given for each job. The problem is to find a schedule of jobs and resource allocation that minimize the time by which all jobs are delivered. Genetic approach, using some...
The paper is a survey devoted to job scheduling problems with resource allocation. We present the results available in the scientific literature for commonly used models of job processing times and job release dates, i.e., the models in which the job processing time or the job release date is given as a linear or convex function dependent on the amount of the additional resource allotted to the job...
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