"RIV/68407700:21230/09:00158401" . "Hanz\u00E1lek, Zden\u011Bk" . . "The paper studies a real production scheduling problem with special resources called take-give resources. Such resources are needed from the beginning of an activity to the completion of another activity of the production process. The difference to other works is that we consider sequence dependent changeover time on take-give resources. We formulate this problem by integer linear programming and we suggest a heuristic problem solution. In the second part of the paper we discuss how to construct a schedule in backward time orientation and we formulate a time symmetry mapping. Consequently it is shown that the mapping is bijective and involutive. Finally, performance of the heuristic algorithm with the time symmetry mapping is evaluated on a set of lacquer production benchmarks."@en . "Time Symmetry of Project Scheduling with Time Windows and Take-give Resources" . . "project scheduling; Integer linear programming; optimization"@en . . "2"^^ . . . "P(OE09004), Z(MSM6840770038)" . "Time Symmetry of Project Scheduling with Time Windows and Take-give Resources"@en . . "Time Symmetry of Project Scheduling with Time Windows and Take-give Resources"@en . . . . . "2"^^ . "\u0160\u016Fcha, P\u0159emysl" . "RIV/68407700:21230/09:00158401!RIV12-MSM-21230___" . . . . . "Time Symmetry of Project Scheduling with Time Windows and Take-give Resources" . . . . "21230" . "346358" . "The paper studies a real production scheduling problem with special resources called take-give resources. Such resources are needed from the beginning of an activity to the completion of another activity of the production process. The difference to other works is that we consider sequence dependent changeover time on take-give resources. We formulate this problem by integer linear programming and we suggest a heuristic problem solution. In the second part of the paper we discuss how to construct a schedule in backward time orientation and we formulate a time symmetry mapping. Consequently it is shown that the mapping is bijective and involutive. Finally, performance of the heuristic algorithm with the time symmetry mapping is evaluated on a set of lacquer production benchmarks." . . "[320E93A7E225]" .