PAPERmaking! Vol11 Nr2 2025

Rasool et al. _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

ߠ ଶܲ ଷ ൌ ߤ ଶܲ ଵ ߠ ଷܲ ସ ൌ ߤ ଷܲ ଵ ߠ ସܲ ହ ൌ ߤ ସܲ ଵ ߠ ହܲ ଺ ൌ ߤ ହܲ ଵ ߠ ଵܲ ଻ ൌ ߤ ଵܲ ଴ ߠ ଶ଼ܲ ൌ ߤ ଶܲ ଴ ߠ ସܲ ଽ ൌ ߤ ସܲ ଴ ߠ ହܲ ଵ଴ ൌ ߤ ହܲ ଴

(21)

(22)

(23)

(24)

(25)

(26)

(27)

(28)

The normalization equation is: ܲ ଴ ൅ܲ ଵ ൅ܲ ଶ ൅ܲ ଷ ൅ܲ ସ ൅ܲ ହ ൅ܲ ଺ ൅ܲ ଻ ൅଼ܲ ൅ܲ ଽ ൅ܲ ଵ଴ ൌͳ By using above system of equations (18-28) and initial conditions (3), we get ֜ܲ ଴ ൅ʹ ఓ య ఓ ర ఏ రܲ ଴ ൅ ఓ ఱ ఏ ఱܲ ଴ ൌͳ ֜ܲ ଴ ሺͳ൅ʹ ఓ య ఏ యܲ ଴ ൅ʹ ఓ భ ఏ భ ఓ య ఏ య ൅ʹ ఓ మ ఏ మ ఓ య ఏ య ൅ʹ ఓ య ఏ య ఓ య ఏ య ൅ʹ ఓ ర ఏ ర ఓ య ఏ య ൅ʹ ఓ ఱ ఏ ఱ ఓ య ఏ య ൅ ఓ భ ఏ భ ൅ ఓ మ ఏ మ ൅ ఓ ర ఏ ర ൅ ఓ ఱ ఏ ఱ ሻൌͳ ֜ܲ ଴ ൌ ଵ ଵାଶ ഋ ഇయ య ାଶ ഋ ഇభ భഋ ഇయ య ାଶ ഋ ഇమ మഋ ഇయ య ାଶ ഋ ഇయ యഋ ഇయ య ାଶ ഋ ഇర రഋ ഇయ య ାଶ ഋ ഇఱ ఱഋ ഇయ య ା ഋ ഇభ భ ା ഋ ഇమ మ ା ഋ ഇర ర ା ഋ ഇఱ ఱ ܵ ݕ ݀ܽ݁ݐ ܵ ݁ݐ ܽݐ  ݈ܾ݈݅݅ܽ݅ܽݒܣ ݕݐ ሺ ݒܣ ሻൌܲ ଴ ൅ܲ ଵ (29) ܱܾ݆݁ܿ ݁ݒ ݅ݐ  ݅ݐ ܿ݊ݑܨ ݋݊  ݒܣ ൌܲ ଴ ൅ʹ ఓ య ఏ యܲ ଴ =ܲ ଴ ቀͳ൅ʹ ఓ య ఏ య ቁ ൌ ሺ ଵ ሺଵାଶ ഋ ഇయ య ାଶ ഋ ഇభ భഋ ഇయ య ାଶ ഋ ഇమ మഋ ഇయ య ାଶ ഋ ഇయ యഋ ഇయ య ାଶ ഋ ഇర రഋ ഇయ య ାଶ ഋ ഇఱ ఱഋ ഇయ య ା ഋ ഇభ భ ା ഋ ഇమ మ ା ഋ ഇర ర ା ഋ ഇఱ ఱ ሻ ሻቀͳ൅ʹ ఓ య ఏ య ቁ (30) ఏ యܲ ଴ ൅ ఓ భ ఏ భ ʹ ఓ య ఏ యܲ ଴ ൅ ఓ మ ఏ మ ʹ ఓ య ఏ యܲ ଴ ൅ ఓ య ఏ య ʹ ఓ య ఏ యܲ ଴ ൅ ఓ ర ఏ ర ʹ ఓ య ఏ యܲ ଴ ൅ ఓ ఱ ఏ ఱ ʹ ఓ య ఏ యܲ ଴ ൅ ఓ భ ఏ భܲ ଴ ൅ ఓ మ ఏ మܲ ଴ ൅

Numerical Results & Discussion:

4.

In this section, numerical results for system effectiveness measures are derived for a particular case in three phases. The values of the decision variables are appended in table 2.

_____________________________________________________________________________________________ 12 Braz. J. Biom. ǡ˜Ǥ 43 ǡ‡ǦͶ͵͹͸ʹǡʹͲʹͷǤ

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