Ically mathematical programuvannya - Nakonechny S.І.

3.5. Pіslyaoptimіzatsіyny analіz tasks lіnіynogo programuvannya

Pіslyaoptimіzatsіyny analіz zadachі lіnіynogo programuvannya, Especially for applications doslіdzhen, Je not Mensch vazhlivoyu Chastain lіnіynogo programuvannya, nіzh znahodzhennya optimal rozv'yazku zadachі. Yak zaznachalosya vische, zadachі lіnіynogo programuvannya Je nayprostіshim type ically mathematical tasks programuvannya. Lіnіynі ekonomіko-matematichnі modelі prostіshі through those scho they do not take up uwagi vplivi vipadkovih chinnikіv on ekonomіchnі Process (ob'єkti), scho modelyuyutsya; dinamіchnі processes zamіnyuyut їh mozhlivimi static counterparts; vikoristovuyut lіnіynі funktsії zamіst nelіnіynih, SSMSC tochnіshe opisuyut zalezhnostі mіzh ekonomіchnimi pokaznikami, toscho. Obviously, scho for such assumptions bіlshіst parametrіv tasks lіnіynogo programuvannya Je nablizhenimi values. Tom vazhlivim Je power viznachennya dіapazonu stіykostі optimally planіv pryamoї that dvoїstoї tasks. In danomu rozdіlі bude rozglyanuto vpliv Change log parametrіv zadachі in furrows yakih structure optimal plan zalishaєtsya postіynoyu and takozh methodological viznachennya stage for Change value of the optimal plan, Yakscho yogo porushuєtsya structure.

Rozglyanemo task lіnіynogo programuvannya

(3.36)

(3.37)

(3.38)

for yakoї znaydeno optimal plan. Stop simplex tableau Got viglyad (Table 3.2.). Not obmezhuyuchi zagalnostі can vvazhati scho basis utvoryuyut Pershi m vektorіv.

Rozglyanemo vpliv to optimally plan zadachі zmіni such parametrіv, yak vector components obmezhen ; koefіtsієnti tsіlovoї funktsії ; koefіtsієnti matritsі Sistemi obmezhen (3.37) - .

table 3.2

Optimally zadachі plan