000K utf8 0100 493791280 1100 $c2000 1500 eng 2050 urn:nbn:de:gbv:wim2-20111215-6072 2051 10.25643/bauhaus-universitaet.607 3000 Phirsof, Alexander 4000 Research of special models describing technological processes [Phirsof, Alexander] 4209 The technological processes, schedules, parallel algorithms, etc., having some technological limitations and exacting increases of efficiency of their execution can be described through digraphs, on which the appropriate optimization problem (construction of optimal scheduling of tops of digraph) can be solved. The problems, researched in the given operation, have a generally following statement: The problem 1: Under the given graph G and option value h to construct parallel scheduling of tops of digraph of minimum length. Let's designate the problem S(G, h, l). The problem 2: Under the given graph G and option value l to construct parallel scheduling of tops of digraph of minimum width. Let's designate the problem S(G, l, h). The problem 3: Under the given graph G, option value h and periods of execution of operations di, i=1, …, n to construct parallel scheduling of tops of digraph of minimum length. Let's designate the problem S(G, h, di, l). The problems 1,2,3 in a case when h-arbitrary have exponential complexity. In operation the method of solution of the problem S(T, h, di, l) is offered on the basis of choice of tops having greatest weight. The approach to solution of the problem S(G, 3, l) is offered, where G the graph satisfying property : S[i] =S [i], i=1, …, l. For obtaining a rating of width of scheduling on an available estimator of length, we offer to use iterative algorithm of polynomial complexity, on which each step the current value of width of scheduling is set, which is used for specification of length of scheduling. 4950 https://doi.org/10.25643/bauhaus-universitaet.607$xR$3Volltext$534 4950 https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20111215-6072$xR$3Volltext$534 4961 http://uri.gbv.de/document/gvk:ppn:493791280 5051 620 5550 Ablaufplanung 5550 Modellierung