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\u03a3\u03c7\u03bf\u03bb\u03ae \u0394\u03b9\u03bf\u03af\u03ba\u03b7\u03c3\u03b7\u03c2 \u0395\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03ae\u03c3\u03b5\u03c9\u03bd, \u03a4\u03bc\u03ae\u03bc\u03b1 \u0394\u03b9\u03bf\u03b9\u03ba\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u0395\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03a4\u03b5\u03c7\u03bd\u03bf\u03bb\u03bf\u03b3\u03af\u03b1\u03c2, \u0395\u03c1\u03b3\u03b1\u03c3\u03c4\u03ae\u03c1\u03b9\u03bf \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03bf\u03cd \u0395\u03bc\u03c0\u03bf\u03c1\u03af\u03bf\u03c5 \u03ba\u03b1\u03b9 \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03bf\u03cd \u0395\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b5\u03af\u03bd ELTRUN"}],"indexed":{"date-parts":[[2025,3,12]],"date-time":"2025-03-12T04:33:48Z","timestamp":1741754028870,"version":"3.38.0"},"reference-count":0,"publisher":"National Documentation Centre (EKT)","content-domain":{"domain":[],"crossmark-restriction":false},"abstract":"<jats:p>\u0397 \u03c0\u03b1\u03c1\u03bf\u03cd\u03c3\u03b1 \u03b4\u03b9\u03b1\u03c4\u03c1\u03b9\u03b2\u03ae \u03b5\u03be\u03b5\u03c4\u03ac\u03b6\u03b5\u03b9 \u03c4\u03bf \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03c3\u03cd\u03bd\u03b8\u03b5\u03c4\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c7\u03c1\u03bf\u03bd\u03bf\u03b4\u03c1\u03bf\u03bc\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2 (scheduling) \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03af\u03b1\u03c2 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 (process industries). \u03a4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c3\u03b9\u03b1\u03ba\u03ac \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c3\u03c5\u03c7\u03bd\u03ac \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03c9\u03c0\u03af\u03b6\u03bf\u03c5\u03bd \u03b4\u03c5\u03c3\u03ba\u03bf\u03bb\u03af\u03b5\u03c2 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7\u03bd \u03b5\u03bd\u03c3\u03c9\u03bc\u03ac\u03c4\u03c9\u03c3\u03b7 \u03c0\u03bf\u03bb\u03bb\u03ce\u03bd \u03b9\u03b4\u03b9\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03bc\u03bf. \u0393\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03ce\u03c0\u03b9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03bf\u03cd \u03c4\u03bf\u03c5 \u03b6\u03b7\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2, \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b5\u03c5\u03ad\u03bb\u03b9\u03ba\u03c4\u03b5\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9, \u03bf\u03b9 \u03bf\u03c0\u03bf\u03af\u03b5\u03c2 \u03c0\u03b1\u03c1\u03cc\u03bb\u03bf \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03b3\u03b3\u03c5\u03ce\u03bd\u03c4\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1, \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03c5\u03c8\u03b7\u03bb\u03ae \u03b1\u03c0\u03bf\u03b4\u03bf\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03ce\u03c0\u03b9\u03c3\u03b7 \u03bc\u03b5\u03b3\u03ac\u03bb\u03c9\u03bd, \u03c3\u03cd\u03bd\u03b8\u03b5\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03ac \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03c9\u03bd \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd. \u0391\u03c5\u03c4\u03ad\u03c2 \u03bf\u03b9 \u03c5\u03b2\u03c1\u03b9\u03b4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c5\u03bd\u03b4\u03c5\u03ac\u03b6\u03bf\u03c5\u03bd \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03b1\u03c0\u03cc \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b5\u03c2 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2: \u03b1\u03ba\u03c1\u03b9\u03b2\u03b5\u03af\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03bf \u039c\u03b9\u03ba\u03c4\u03cc\u03c2 \u0391\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c2 \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03a0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2 (MILP) \u03ba\u03b1\u03b9 \u03bf \u03a0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2 \u03a0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03ce\u03bd (CP), \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b8\u03b5\u03c5\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03bf\u03c5\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03bf\u03b9 \u0393\u03b5\u03bd\u03b5\u03c4\u03b9\u03ba\u03bf\u03af \u0391\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9 (GA), \u03b7 \u03a0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03b9\u03ce\u03bc\u03b5\u03bd\u03b7 \u0391\u03bd\u03cc\u03c0\u03c4\u03b7\u03c3\u03b7 (SA) \u03ba\u03b1\u03b9 \u03b7 \u03a4\u03bf\u03c0\u03b9\u03ba\u03ae \u0391\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7 (LS), \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03ac\u03bb\u03bb\u03c9\u03bd. \u0391\u03c1\u03c7\u03b9\u03ba\u03ac, \u03b1\u03bd\u03b1\u03bb\u03cd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03a7\u03c1\u03bf\u03bd\u03bf\u03b4\u03c1\u03bf\u03bc\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2 \u0391\u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03c4\u03c9\u03bd \u03a0\u03b1\u03c1\u03ac\u03bb\u03bb\u03b7\u03bb\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03ce\u03bd (UPMS) \u03bc\u03b5 \u03b5\u03be\u03b1\u03c1\u03c4\u03ce\u03bc\u03b5\u03bd\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae \u03c7\u03c1\u03cc\u03bd\u03bf\u03c5\u03c2 \u03c0\u03c1\u03bf\u03b5\u03c4\u03bf\u03b9\u03bc\u03b1\u03c3\u03af\u03b1\u03c2 (setup times), \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03b1\u03bd\u03b1\u03bd\u03b5\u03ce\u03c3\u03b9\u03bc\u03bf\u03c5\u03c2 \u03c0\u03cc\u03c1\u03bf\u03c5\u03c2. \u0391\u03bd\u03c4\u03af \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03b1\u03c0\u03bb\u03cc\u03c4\u03b5\u03c1\u03bf \u03c3\u03c4\u03cc\u03c7\u03bf \u03b5\u03bb\u03b1\u03c7\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae\u03c2 \u03b4\u03b9\u03ac\u03c1\u03ba\u03b5\u03b9\u03b1\u03c2 (makespan), \u03b5\u03c3\u03c4\u03b9\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03b7 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c4\u03b1\u03b8\u03bc\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7\u03c2 \u03ba\u03b1\u03b8\u03c5\u03c3\u03c4\u03ad\u03c1\u03b7\u03c3\u03b7\u03c2 (total weighted tardiness), \u03c0\u03b1\u03c1\u03ad\u03c7\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ad\u03bd\u03b1 \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03cc \u03c0\u03bb\u03b1\u03af\u03c3\u03b9\u03bf \u03b3\u03b9\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c3\u03c4\u03bf\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03bc\u03bf. \u0397 \u03c0\u03c1\u03bf\u03c4\u03b5\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03b7 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03c3\u03c5\u03bd\u03b4\u03c5\u03ac\u03b6\u03b5\u03b9 MILP, GA, SA \u03ba\u03b1\u03b9 CP \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03b9\u03b1\u03c7\u03b5\u03b9\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c4\u03b7\u03bd \u03c0\u03bf\u03bb\u03c5\u03c0\u03bb\u03bf\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2. \u0397 \u03b5\u03ba\u03c4\u03b5\u03bd\u03ae\u03c2 \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c5\u03c0\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03b4\u03bf\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03b8\u03ad\u03bd\u03c4\u03bf\u03c2 \u03c0\u03bb\u03b1\u03b9\u03c3\u03af\u03bf\u03c5 \u03c3\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b1 \u03c3\u03c4\u03b9\u03b3\u03bc\u03b9\u03cc\u03c4\u03c5\u03c0\u03b1, \u03b5\u03bd\u03c3\u03c9\u03bc\u03b1\u03c4\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03cc\u03c3\u03bf \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 (benchmark data) \u03cc\u03c3\u03bf \u03ba\u03b1\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1. \u0395\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd, 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\u03c3\u03c4\u03b1\u03b4\u03af\u03c9\u03bd. \u039a\u03c1\u03af\u03c3\u03b9\u03bc\u03b5\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03b5\u03bc\u03c0\u03bd\u03b5\u03c5\u03c3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b1\u03c0\u03cc \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd\u03c4\u03b1, \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c4\u03bf\u03c5\u03c2 \u03c7\u03c1\u03cc\u03bd\u03bf\u03c5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03c7\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03c9\u03bd \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03c5\u03c4\u03b9\u03ba\u03ce\u03bd \u03c7\u03ce\u03c1\u03c9\u03bd \u03c3\u03c4\u03b9\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ad\u03c2. \u039b\u03cc\u03b3\u03c9 \u03c4\u03b7\u03c2 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c0\u03bb\u03bf\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2, \u03b7 \u03b4\u03b9\u03b1\u03c4\u03c1\u03b9\u03b2\u03ae \u03b1\u03bd\u03b1\u03c0\u03c4\u03cd\u03c3\u03c3\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03b1\u03be\u03b9\u03bf\u03bb\u03bf\u03b3\u03b5\u03af \u03c0\u03ad\u03bd\u03c4\u03b5 \u03bc\u03b5\u03b8\u03b5\u03c5\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03bf\u03c5\u03c2 \u2014GA, SA, \u0392\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03a3\u03bc\u03ae\u03bd\u03bf\u03c5\u03c2 \u03a3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03c9\u03bd (PSO), LS \u03ba\u03b1\u03b9 \u0391\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7 Tabu (TS) \u2014 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03b6\u03cc\u03bc\u03b5\u03bd\u03b5\u03c2 \u03bc\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03bf CP, \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b1\u03be\u03b9\u03bf\u03bb\u03bf\u03b3\u03b7\u03b8\u03b5\u03af \u03b7 \u03b1\u03c0\u03bf\u03b4\u03bf\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03ac \u03c4\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03c9\u03bd \u03bb\u03cd\u03c3\u03b5\u03c9\u03bd \u03c3\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b1 \u03c3\u03c4\u03b9\u03b3\u03bc\u03b9\u03cc\u03c4\u03c5\u03c0\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c0\u03ac\u03bd\u03c9 \u03b1\u03c0\u03cc 300 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b5\u03c2 \u03ba\u03b1\u03b9 9 \u03c3\u03c4\u03ac\u03b4\u03b9\u03b1. \u03a4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03c0\u03bf\u03bb\u03cd\u03c4\u03b9\u03bc\u03b5\u03c2 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03c5\u03b3\u03ba\u03c1\u03b9\u03c4\u03b9\u03ba\u03ae \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ce\u03bd \u03c4\u03c9\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03bf\u03c5\u03bd \u03c3\u03c4\u03c1\u03b1\u03c4\u03b7\u03b3\u03b9\u03ba\u03ad\u03c2 \u03c5\u03b2\u03c1\u03b9\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd. \u0395\u03ba\u03c4\u03cc\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 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\u03b4\u03b9\u03b1\u03c7\u03b5\u03af\u03c1\u03b9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03c5\u03b4\u03ac\u03c4\u03b9\u03bd\u03c9\u03bd \u03c0\u03cc\u03c1\u03c9\u03bd. \u0393\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03ce\u03c0\u03b9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ce\u03bd \u03c4\u03c9\u03bd \u03c0\u03c1\u03bf\u03ba\u03bb\u03ae\u03c3\u03b5\u03c9\u03bd, \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c3\u03ba\u03bf\u03c0\u03b9\u03ac \u03c4\u03bf\u03c5 \u03b4\u03b9\u03ba\u03c4\u03cd\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9\u03bd\u03bf\u03c4\u03cc\u03bc\u03bf \u039c\u03b9\u03ba\u03c4\u03cc-\u0391\u03ba\u03b5\u03c1\u03b1\u03af\u03bf \u039c\u03b7 \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc \u03a0\u03c1\u03cc\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 (MINLP), \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03b5 MILP, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7 \u03bc\u03b1\u03c4\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf CP. \u03a4\u03b1 \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03ba\u03bf\u03c1\u03c5\u03c6\u03b1\u03af\u03bf\u03c5\u03c2 \u03bf\u03c1\u03b3\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03c3\u03c4\u03bf\u03bd \u03c4\u03bf\u03bc\u03ad\u03b1, \u03b4\u03b9\u03b1\u03c3\u03c6\u03b1\u03bb\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03b9\u03c3\u03c7\u03c5\u03c1\u03ae \u03c3\u03cd\u03bd\u03b4\u03b5\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03b9\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c3\u03c4\u03bf\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03bc\u03bf. \u03a4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03c4\u03b1\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03c5\u03bd \u03c4\u03b7 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae \u03b1\u03c0\u03bf\u03b4\u03bf\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b5\u03bd\u03b8\u03b1\u03c1\u03c1\u03cd\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03c3\u03b9\u03bc\u03cc\u03c4\u03b7\u03c4\u03ac \u03c4\u03b7\u03c2 \u03c3\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03af\u03b5\u03c2, \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ad\u03bd\u03b1 \u03b5\u03c5\u03ad\u03bb\u03b9\u03ba\u03c4\u03bf \u03c0\u03bb\u03b1\u03af\u03c3\u03b9\u03bf \u03b3\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03c0\u03c1\u03bf\u03ba\u03bb\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03ba\u03cc\u03c3\u03bc\u03bf\u03c5. \u0397 \u03b4\u03b9\u03b1\u03c4\u03c1\u03b9\u03b2\u03ae \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b8\u03ad\u03c4\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c0\u03b9\u03b8\u03b1\u03bd\u03ad\u03c2 \u03bc\u03b5\u03bb\u03bb\u03bf\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bf\u03b4\u03bf\u03cd\u03c2. \u0391\u03c1\u03c7\u03b9\u03ba\u03ac, \u03b4\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03ad\u03bc\u03c6\u03b1\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b1 \u03b4\u03cd\u03bf \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c7\u03c1\u03bf\u03bd\u03bf\u03b4\u03c1\u03bf\u03bc\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03c3\u03c4\u03b7\u03ba\u03b1\u03bd: \u03c4\u03bf UPMS \u03ba\u03b1\u03b9 \u03c4\u03bf HFFS. \u0393\u03b9\u03b1 \u03c4\u03bf UPMS, \u03c4\u03bf\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b1\u03bd\u03ac\u03b3\u03ba\u03b7 \u03b3\u03b9\u03b1 \u03b5\u03be\u03b5\u03c1\u03b5\u03cd\u03bd\u03b7\u03c3\u03b7 \u03c3\u03c4\u03c1\u03b1\u03c4\u03b7\u03b3\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03c4\u03b1\u03bc\u03b5\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03b5\u03c1\u03b3\u03b1\u03c3\u03b9\u03ce\u03bd (job splitting) \u03c4\u03cc\u03c3\u03bf \u03b3\u03b9\u03b1 \u03c0\u03bb\u03b7\u03b8\u03c5\u03c3\u03bc\u03b9\u03b1\u03ba\u03ad\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03cc\u03c3\u03bf \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03bf\u03c5\u03c2 \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u03c2, \u03bc\u03b5 \u03c3\u03ba\u03bf\u03c0\u03cc \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b1\u03c0\u03bf\u03b4\u03bf\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03c5\u03b5\u03bb\u03b9\u03be\u03af\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03bf\u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03bf\u03c2. \u03a0\u03c1\u03bf\u03c2 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7, \u03c0\u03b1\u03c1\u03ad\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2 \u03ba\u03c5\u03c1\u03b9\u03b1\u03c1\u03c7\u03af\u03b1\u03c2 (dominance rules) \u03b3\u03b9\u03b1 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03b5\u03bb\u03b1\u03c7\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03b1\u03b8\u03c5\u03c3\u03c4\u03ad\u03c1\u03b7\u03c3\u03b7\u03c2, \u03bf\u03b9 \u03bf\u03c0\u03bf\u03af\u03bf\u03b9 \u03b4\u03cd\u03bd\u03b1\u03bd\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b2\u03bf\u03b7\u03b8\u03ae\u03c3\u03bf\u03c5\u03bd \u03c3\u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03c6\u03c5\u03b3\u03ae \u03b5\u03be\u03ad\u03c4\u03b1\u03c3\u03b7\u03c2 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b4\u03b5\u03b9\u03b3\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03c4\u03ce\u03c4\u03b5\u03c1\u03c9\u03bd \u03bb\u03cd\u03c3\u03b5\u03c9\u03bd. \u0393\u03b9\u03b1 \u03c4\u03bf HFFS, \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b9\u03b4\u03ad\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03c5\u03b2\u03c1\u03b9\u03b4\u03b9\u03c3\u03bc\u03cc \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd \u2013 MILP \u03ba\u03b1\u03b9 CP \u2013 \u03bc\u03b5 \u03c3\u03c4\u03cc\u03c7\u03bf \u03c4\u03b7\u03bd \u03b1\u03cd\u03be\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7\u03c2 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03ce\u03c0\u03b9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ce\u03bd \u03c4\u03c9\u03bd \u03c3\u03cd\u03bd\u03b8\u03b5\u03c4\u03c9\u03bd \u03c0\u03c1\u03bf\u03ba\u03bb\u03ae\u03c3\u03b5\u03c9\u03bd.<\/jats:p>","DOI":"10.12681\/eadd\/58537","type":"dissertation","created":{"date-parts":[[2025,3,11]],"date-time":"2025-03-11T11:08:01Z","timestamp":1741691281000},"approved":{"date-parts":[[2025,2,1]]},"source":"Crossref","is-referenced-by-count":0,"title":["Scheduling 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