ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
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ɜɢɟ ɢɞɟɚɥɶɧɨɝɨ ɤɨɧɬɚɤɬɚ;
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ɫɜɚɪɧɵɯ ɫɨɟɞɢɧɟɧɢɣ ɡɚɞɚɧɨ ɭɫɥɨ-
ɜɢɟ ɬɟɩɥɨɨɛɦɟɧɚ ɢɡɥɭɱɟɧɢɟɦ.
Ɉɛɨɡɧɚɱɢɦ ɱɟɪɟɡ
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ɪɚɫɱɟɬɧɨɟ ɬɟɦɩɟɪɚɬɭɪɧɨɟ ɩɨɥɟ
ɧɚ ɧɚɛɥɸɞɚɟɦɨɣ ɫ ɩɨɦɨɳɶɸ ɬɟɩɥɨɜɢɡɨɪɚ ɩɨɜɟɪɯɧɨɫɬɢ
c
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ɤɨɧɫɬɪɭɤ-
ɰɢɢ. ɉɭɫɬɶ ɢɡɜɟɫɬɧɨ ɬɚɤɠɟ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɨɟ ɡɧɚɱɟɧɢɟ ɬɟɦɩɟɪɚɬɭɪ-
ɧɨɝɨ ɩɨɥɹ
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ɧɚ ɷɬɨɣ ɠɟ ɩɨɜɟɪɯɧɨɫɬɢ ɜ ɦɨɦɟɧɬ ɜɪɟɦɟɧɢ .
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ɋ ɭɱɟɬɨɦ ɢɡɥɨɠɟɧɧɨɝɨ ȽɈɁɌȾ ɮɨɪɦɭɥɢɪɭɟɬɫɹ ɫɥɟɞɭɸɳɢɦ ɨɛɪɚ-
ɡɨɦ: ɧɚɣɬɢ ɬɚɤɢɟ ɡɧɚɱɟɧɢɹ ɩɚɪɚɦɟɬɪɨɜ , ,
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ɢɡ ɦɧɨɠɟɫɬɜɚ ɞɨɩɭ-
ɫɬɢɦɵɯ ɡɧɚɱɟɧɢɣ
V
,
ɤɨɬɨɪɵɟ ɨɛɟɫɩɟɱɢɜɚɸɬ ɦɢɧɢɦɭɦ ɮɭɧɤɰɢɨɧɚɥɭ
ɨɬɧɨɫɢɬɟɥɶɧɨɣ ɨɲɢɛɤɢ ɜɵɱɢɫɥɟɧɢɣ ɬɟɦɩɟɪɚɬɭɪɧɨɝɨ ɩɨɥɹ:
( , , )
min
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(2)
Ⱥɥɝɨɪɢɬɦɵ ɱɢɫɥɟɧɧɨɝɨ ɪɟɲɟɧɢɹ ɡɚɞɚɱɢ.
Ɂɚɞɚɱɚ (1), (2) ɩɪɟɞ-
ɫɬɚɜɥɹɟɬ ɫɨɛɨɣ ɡɚɞɚɱɭ ɨɩɬɢɦɢɡɚɰɢɢ. Ⱦɥɹ ɟɟ ɱɢɫɥɟɧɧɨɝɨ ɪɟɲɟɧɢɹ ɩɪɢ-
ɦɟɧɹɸɬ ɢɬɟɪɚɰɢɨɧɧɵɟ ɦɟɬɨɞɵ ɝɪɚɞɢɟɧɬɧɨɝɨ ɫɩɭɫɤɚ ɢ ɏɭɤɚ—Ⱦɠɢɜɫɚ,
ɧɚ ɤɚɠɞɨɦ ɲɚɝɟ ɢɬɟɪɚɰɢɢ ɤɨɬɨɪɵɯ ɨɫɭɳɟɫɬɜɥɹɟɬɫɹ ɪɟɲɟɧɢɟ ɩɪɹɦɨɣ
ɡɚɞɚɱɢ ɬɟɩɥɨɩɪɨɜɨɞɧɨɫɬɢ (1). ɑɢɫɥɟɧɧɨɟ ɪɟɲɟɧɢɟ ɷɬɨɣ ɡɚɞɚɱɢ ɜɵɩɨɥ-
Ɋɢɫ. 4. Ʉɨɧɟɱɧɨ-ɷɥɟɦɟɧɬɧɚɹ ɫɟɬɤɚ ɬɪɟɯɫɥɨɣɧɨɣ ɫɜɚɪɧɨɣ ɤɨɧɫɬɪɭɤɰɢɢ ɫ ɞɟɮɟɤɬɨɦ