622.271:622.68 . , . , ., . , , (4872) 33-22-70, ecology@tsu.tula.ru ( , . , . . , ., . , , . . ), . , (4872) 33-22-70, ecology@tsu.tula.ru ( , ), , , ) , - . , , , - , , , . . : , , , , , , , . . , , , - . , , , , . , . - , , « » . . . , : , , 15 , , , . . 2010. . ( .2 , ), . . 1. k(+) ij k(- ) ij . 1. ) – - . - : W( W( W( ) , W( ) ) ) dY k( )( Y Y )Y , dt dY k( )Y 2 , dt (1) (2) – - ; Y- , , - ; Y – ; k( ) , k( ) – . , , , 16 . : W(+) = W(-). (Y ) : k( Y - ) k( ) k( ) (1) (2) Y . (3) - Yt 0 YH : dY ( dt Y . (4), const ; Y )Y , (4) , Y Y( t ) Y Y 1 . 1 exp( (5) t) (5) F. : 2 N F Y Yk 1 k 1 2 k k ; Y Y k– k 1 exp( , (6) tk ) . - , , F . min . (7) Y ; (7) - (4) Yt t Yt – t; Yt Yt 2 , t – (8) ; Yt – , t. 17 . . 2010. (7) : .2 (8) T T Yt t 1 T 3 Yt Yt Yt t 1 2 (9) Yt 2 t 1 T ; T Yt 4 t 1 Yt t 1 T Yt 3 t 1 T Yt Yt 3 Yt t 1 Y Yt 2 t 1 T 1 T 3 t 1 T . (10) Yt 3 t 1 (9) – (10) (5). , , . , , (5), , - . . 2. Y/Y 1 2 3 4 5 t . 2. Y /Y , : 1 – 0,5; 2 - 0,4; 3 – 0,3;4 – 0,2; 5 – 0,1 18 . . - . , : Cost , Cost – . min , , . – . , . ( Ttropt ), . , , , , : NdP dt Idt K C NPdt , , N– ;I– , ; - - – ; P – , ./( - ). : dP dt I N KC P . : P (11) I /( K C N ) , (11) dP dt KC P P . (12) (12) 0= (0) = const – P( t ) P P , P0 exp( K C t ) . 0 , (13) , , : Nd( Cost ) 19 dt K NCost dt , . . 2010. .2 Cost – , ); ./( – . d Cost dt (14) K Cost . (14) Cost(0) = Cost0 , Cost0 = const – , Cost( t ) Cost0 exp( K t ) . : Cost - P( t ) P (15) ost( t ) , P P0 exp( K C t ) Cost0exp( K t ) t T opt , (16): min . Cost d Cost K C P P0 exp( K C t ) K Cost0exp( K t ) . dt Cost min t Ttropt , d Cost / dt 0 , , (17) Ttropt . (16) min , (17) , Ttropt , 1 Ttropt K KC ln K Cost0 . KC P P0 (18) . 3. . .; K 0 ,06 1/ ; K C : Ttropt = 5,76 : P 0 ,8 1/ . 105 6 . , , . 20 .; P0 2 104 .; Cost0 1,5 10 4 (18) C, . 1 3 2 t, . 3. P 10 –4=10 ., P0 10 –4=2 . ost0 10 –4 = 5 1 – Cost(t); 2 – P(t); 3 – Cost= f(t) (18), , , ., - 2 . 1. . .: 2. . .: ., . 2002. 160 . . . . ., . . - . 2005. 448 . N. Kachurin, M. Komissarov, J. Dianov Environmental logistics of transporting opencast minerals It’s shown that environmental logistics of transporting opencast minerals reflects basic dependences of influencing environment during opencast mining by delivering minerals from working faces to loading points and subsequent moving mineral production to a consumer. Consequently, at this case basic logistic operation is transporting and basic environmental component undergoing negative influence is atmosphere. The problem of evaluating mineral demand at the logistical net and periodicity of delivering minerals to load points was solved. Key words: environmental logistics, logistical net, logistical function, mineral demand, mathematical model, motor transport, minerals, open pit. 22.09.10 21