D:\sbornik\...\Hodvac1.DVI Mathematical Problems of Computer Science 24, 2005, 5{10. Data Flow Analysis B y Linear P r ogr amming M odel A r m e n H . A la ve r d ya n , V ilik M. K a r a kh a n ya n a n d V a r d a n R . To n o ya n Institue for Informatics and Automation Problems of NAS of RA e-mail armen am@yahoo.com Abstract The paper presents the general discussion of the data °ow algorithms structuring problem on one hand, and, as an example of that particular problem class, the anal- ysis of the linear programming problem when the objective function coe±cients vary depending on the data °ow. The problem is in reconstruction of current result with such an approach, which is the most plain from the full solution of the problem by the dynamic data set °ow. Refer ences [1 ] L . A s la n ya n , J. Ca s t e lla n o s , F. Min g o , H . S a h a kya n , V . R ya z a n o v, A lg o r it h m s fo r D a t a Flo ws , In t e r n a t io n a l Jo u r n a l In fo r m a t io n Th e o r ie s a n d A p p lic a t io n s , IS S N 1 3 1 0 -0 5 1 3 3 , V o lu m e 1 0 , N u m b e r 3 ( 2 0 0 3 ) , p p . 2 7 9 -2 8 2 . [2 ] B a r b a r a G. R yd e r a n d Ma r vin C. P a u ll, In c r e m e n t a l d a t a -° o w a n a lys is a lg o r it h m s , A CM Tr a n s a c t io n s o n P r o g r a m m in g L a n g u a g e s a n d S ys t e m s ( TOP L A S ) , V o lu m e 1 0 Is s u e 1 ( 1 9 8 8 ) , p p . 1 -5 0 . [3] Â. Ê. Ëåîíòüåâ, Óñòîé÷èâîñòü â ëèíåéíûõ äèñêðåòíûõ çàäà÷àõ, ”Ïðîáëåìû Êèáåðíåòèêè”, áûï. 35, 1979. [4 ] A . A la ve r d ya n , L in e a r P r o g r a m m in g W it h Ch a n g in g Co e ± c ie n t s Of Ob je c t ive Fu n c t io n , in Tr a n s a c t io n s o f t h e In s t it u t e fo r In fo r m a t ic s a n d A u t o m a t io n P r o b le m s o f N A S R A , Ma t h e m a t ic a l P r o b le m s o f Co m p u t e r S c ie n c e , 2 0 0 5 , Y e r e va n . [5 ] Ch . P a p a d im it r iu , K . S t e ig lit z , Co m b in a t o r ia l o p t im iz a t io n : A lg o r it h m s a n d Co m p le x- it y, P r e n t ic e -H a ll In c , 1 9 8 2 . [6] Þ. Êóçíåöîâ, Â. Êóçóáîâ, À. Âîëîùåíêî, Ìàòåìàòè÷åñêîå ïðîãðàììèðîâàíèå, Âûñøàÿ øêîëà, Ìîñêâà, 1980. [7] Á. Ìóðòàô, Ñîâðåìåííîå ëèíåéíîå Ïðîãðàììèðîâàíèå, òåîðèÿ è ïðàêòèêà, Ìîñêâà, Ìèð, 1984. 5 6 Data Flow Analysis By Linear Programming Model îíÛ³ÉÝ»ñÇ Ñáëù»ñÇ í»ñÉáõÍáõÙÁ Áëï ·Í³ÛÇÝ Íñ³·ñ³íáñÙ³Ý Ùá¹»ÉÇ ². Ð. ²É³í»ñ¹Û³Ý, ì. Ø. γñ³Ë³ÝÛ³Ý, ì. è. îáÝáÛ³Ý ²Ù÷á÷áõÙ Ðá¹í³ÍÁ ÝíÇñí³Í ¿ ïíÛ³ÉÝ»ñÇ Ñáëù»ñÇ ³É·áñÇÃÙÝ»ñÇ Ï³éáõóÙ³Ý ÁݹѳÝáõñ ËݹñÇ ùÝݳñÏÙ³ÝÁ ÙÇ ÏáÕÙÇó, ¨ áñå»ë ³Ûë ¹³ëÇ Ù³ëݳíáñ ËݹñÇ ûñÇݳϑ ·Í³ÛÇÝ Íñ³·ñ³íáñÙ³Ý ËݹñÇ áõëáõÙݳëÇñÙ³ÝÁ, »ñµ Ñáëù³ÛÇÝ ïíÛ³ÉÝ»ñÇó ϳËí³Í ÷á÷áËíáõÙ »Ý Ýå³ï³Ï³ÛÇÝ ýáõÝÏódzÛÇ ·áñͳÏÇóÝ»ñÁ: ÊݹÇñÁ ÁÝóóÇÏ ³ñ¹ÛáõÝùÇ í»ñ³Ï³éáõóÙ³Ý Ù»ç ¿ ³ÛÝåÇëÇ ÙÇ Ùáï»óٳٵ, áñÁ ³é³í»É å³ñ½ ¿ ËݹñÇ Édzϳï³ñ ÉáõÍáõÙÇó Áëï ÑáëùÇ ¹ÇݳÙÇÏ ïíÛ³ÉÝ»ñÇ µ³½ÙáõÃÛ³Ý: