Continuous Logic and Scheduling in Systems with Indeterminate Processing Times

• Authors: Vitaly I. Levin
• Languages of publication: EN

Abstracts

EN

A general approach to the synthesis of an optimal order of executing jobs in engineering systems with indeterminate (interval) times of job processing is presented. As a mathematical model of the system, a two-stage pipeline is taken whose first and second stages are, respectively, the input of data and its processing, and the corresponding mathematical apparatus is continuous logic and logic determinants.

Keywords

EN

system; optimal order of jobs; continuous logic

• Publisher: Sciendo
• Journal: Studia Humana
• Year: 2014
• Volume: 3
• Issue: 1
• Pages: 38-47

Dates

published

2014-02-01

online

2014-10-03

Contributors

author

Vitaly I. Levin

• Mathematics Department, Penza State Technological University 1-a, Baidukov pr., Penza, 440039, Russia

References

• 1. Drummond M. E., Evaluation and Measurement Techniques for Digital Computer Systems. N.J.: Prentice-Hall, 1973.
• 2. Levin V. I., “Scheduling of Computer System Action. The Analysis”, Automatic Control and Computer Sciences 2, 1983, pp. 64-72.
• 3. Levin V. I., “Scheduling of Computer System Action. The Synthesis”, Automatic Control and Computer Sciences 3, 1983, pp. 64-70.
• 4. Levin V. I., “Discrete Optimization in Conditions of the Interval Indeterminacy”, Automation and Remote Control 7, 1992, pp. 97-101.
• 5. Johnson S.M., “Optimal Two-and-Three-Stage Production Schedules with Set-up Times Included”, Naval Research Logistic Quaterly 1, 1954, pp. 61-68.
• 6. Muth J. F., Thompson, Gerald L. Industrial Scheduling. N. J.: Prentice-Hall, 1963.
• 7. Levin V.I., Strukturno-Logicheskie Metody Issledovaniya Slozhnykh Sistem (Structural-Logi-cal Investigation Methods for Complex Systems). Moscow: Nauka, 1987 (in Russian).

Identifiers

DOI

10.2478/sh-2014-0004