Objective
Discrete optimisation problems represent a significant set of problems arising in management and planning for modern production, design of telecommunications networks, computer and CAD/CAM systems. The objective of the project is to provide mathematical models, methods and algorithms for generic real-life discrete optimisation problems, based on graph and scheduling theory. The discrete optimisation problems arising in the following areas are considered in the project:
scheduling with the constraints on processing times and the number of
machines and jobs; combination of scheduling decisions with due date
determination;
grouping and sequencing along with determination of processing times for
repeated jobs in multi-stage systems with several identical machines at each
stage;
scheduling for pre-run-time schedulers on multiprocessors in hard-real-time
computer systems;
batch scheduling;
optimisation of network arc parameters for networking design, project
management and for the design of mechanical transmissions;
optimisation in VLSI layout design problems. In spite of the variety of the considered applications, a general approach and similar methods will be used to analyse and solve these problems. The following will be done within the project:
development of mathematical models in terms of graph and scheduling theory
for the decision making problems in the above situations; evaluation of
computational complexity of the problems (polynomial solvability or
NP-hardness proofs);
development of exact polynomial algorithms for some problems;
for NP-hard problems, development of efficient enumerative algorithms,
regular partition techniques, genetic algorithms, heuristics and
approximation schemes. The anticipated results represent an important and innovative progress in new areas of discrete optimisation. They are of interest both for further development of the general theory and for the applications mentioned above. The results are planned to be used for the development and the improvement of decision support systems for industrial planning and design of technical systems in enterprises of partner countries. The project combines the experience of mathematicians from the former USSR which work in applied sciences and of leading researchers of western countries in the field of discrete optimisation. This combination allows to advance new directions of modern science and to solve important information technology problems for industries of European community and the former USSR. The project will promote a stabilisation of research potential of Minsk and Omsk groups on discrete optimisation, operations research and scheduling theory that is known not only in NIS. It will facilitate scientific exchange between researchers from eastern and western countries.
Topic(s)
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57070 Metz
France