Bài toán quy hoạch tuyến tính tổng quát năm 2024

• What is Scribd?
• All Documents
• * Foreign Language Studies
  • Chinese
  • ESL
    • Science & Mathematics
  • Astronomy & Space Sciences
  • Biology
    • Study Aids & Test Prep
  • Book Notes
  • College Entrance Exams
    • Teaching Methods & Materials
  • Early Childhood Education
  • Education Philosophy & Theory All categories
• * Business
  • Business Analytics
  • Human Resources & Personnel Management
    • Career & Growth
  • Careers
  • Job Hunting
    • Computers
  • Applications & Software
  • CAD-CAM
    • Finance & Money Management
  • Accounting & Bookkeeping
  • Auditing
    • Law
  • Business & Financial
  • Contracts & Agreements
    • Politics
  • American Government
  • International Relations
    • Technology & Engineering
  • Automotive
  • Aviation & Aeronautics All categories
• * Art
  • Antiques & Collectibles
  • Architecture
    • Biography & Memoir
  • Artists and Musicians
  • Entertainers and the Rich & Famous
    • Comics & Graphic Novels
    • History
  • Ancient
  • Modern
    • Philosophy
    • Language Arts & Discipline
  • Composition & Creative Writing
  • Linguistics
    • Literary Criticism
    • Social Science
  • Anthropology
  • Archaeology
    • True Crime All categories
• Hobbies & Crafts Documents
  • Cooking, Food & Wine
    • Beverages
    • Courses & Dishes
  • Games & Activities
    • Card Games
    • Fantasy Sports
  • Home & Garden
    • Crafts & Hobbies
    • Gardening
  • Sports & Recreation
    • Baseball
    • Basketball All categories
• Personal Growth Documents
  • Lifestyle
    • Beauty & Grooming
    • Fashion
  • Religion & Spirituality
    • Buddhism
    • Christianity
  • Self-Improvement
    • Addiction
    • Mental Health
  • Wellness
    • Body, Mind, & Spirit
    • Diet & Nutrition All categories

0% found this document useful (0 votes)

223 views

16 pages

Copyright

© © All Rights Reserved

Share this document

Did you find this document useful?

0% found this document useful (0 votes)

223 views16 pages

Bài toán Quy Hoạch Tuyến Tính

Jump to Page

You are on page 1of 16

Aåf jfẫnj Wuf mdầkm tuyẴn ténm UJ[-S[ Bï Gnm XŦ

KmƵƧnj 7 ?

WPF MDGKM SPVÏN SNM

Wuf mdgkm tuyïn tnm (Bfn`r Urdjriifnj) lmf sfnm bỌkm sứ pmçt trfịn kỪ iânm tỬnċi 76;6, lmf nm tdçn mk Nj nóf tfïnj, Xf ̫n s B.X. Lntdrdvfkm ėệ xuẠt nmỤnjtmuẩt tdçn ėẪu tfn ėị jfẫf nû trdnj i ̫t bdgt knj trânm njmfn kỦu vệ lï mdgkm mdç sẫnxuẠt, v nû tmƵk sƵ pmçt trfịn ignm i lị tỬ lmf nm tdçn mk I J.A. Cntzfj ėệ xuẠt pmƧnj pmçp ėƧn mânm (sfipb`x i`tmdc) nċi 763: ėị jfẫf kçk af tdçn xuẠt pmçt tỬ vfỊk bẩplï mdgkm kmd lmnj quán I. Nm vẩy, kû tmị nûf b, quf mdgkm tuyïn tnm mânm tmnm vdlmdẫnj jfỤ tmï lỺ 15 cd nmu kẪu kỪ kçk af tdçn quẫn bù. I mânm tuyïn tnm b i mânmrẠt pmó afïn trdnj tmƵk tï. IẺt lmçk, vệ iẺt bù tmuyït, kû tmị xẠp xỆ vỜf ėỖ kmnm xçk kd kçk af tdçn tỗf u pmf tuyïn aỔf cëy kçk af tdçn quf mdgkm tuyïn tnm. AỔf tmï, njy tỬ lmf rėộf, quf mdgkm tuyïn tnm ėë kmfïi iỖt vỌ tr mït sỦk qun trnj trdnj Sdçn mk Ủnj cỠnjnûf kmunj, trdnj njnm tỗf u mû nûf rfnj.

IÓ̫S [ XF CP XÏ AG SDN WMSS SQDNJ SMỵK SểN

7.7. Aåf tdgn bá ̫p lẴ mdầkm sẫn xut

Xn ėệ tmỷk tfỀn

I ̫t x njmf ̫ p cönj mf bdgf vẩt bfỊu X

7

, X

1

ėị sẫn xuẠt a bdgf sẫn pmi b [

7

,[

1

v [

;

. ĕị bi ėk 7 ėƧn vỌ [

7

kẪn 3 ėƧn vỌ vá ̫t bf ̫u X

7

, 0 ėƧn vỌ vá ̫t bf ̫u X

1

.ĕị bi ėk 7 ėƧn vỌ [

1

kẪn ; ėƧn vỌ X

7

, 1 ėƧn vỌ X

1

. ĕị bi ėk 7 ėƧn vỌ [

;

kẪn 1 ėƧn vỌ X

7

, ; ėƧn vỌ X

1

. Jfç açn 7 ėƧn vỌ [

7

, [

1

v [

;

bẪn bt b 05, ;5 v 35njn ėnj.Mf x njmf ̫ p nn sẫn xuẠt ad nmfu ėƧn vỌ sẫn pmi [

7

, [

1

v [

1

ėị tónj tmunmá ̫ p b bỜn nmẠt, afït rnj x njmf ̫ p kmỆ kû 7155 ėƧn vỌ vá ̫t bf ̫u X

7

v 75=5 ėƧnvỌ vá ̫t bf ̫u X

1

.

SmfẴt bẩp ió mnm tdgn mỉk

Jf x

7

, x

1

, x

;

bẪn bt b sỗ ėƧn vỌ sẫn pmi [

7

, [

1

, [

;

kẪn sẫn xuẠt. [ỗ ėƧn vỌvá ̫t bf ̫u X

7

kẪn kû b 3x

7

+ ;x

1

+ 1x

;

. Cd x njmf ̫ p kmỆ kû 7155 ėƧn vỌ vá ̫t bf ̫u X

7

nn x

7

, x

1

v x

;

pmẫf tm iën 3x

7

+ ;x

1

+ 1x

;



7155.

7

Aåf jfẫnj Wuf mdầkm tuyẴn ténm UJ[-S[ Bï Gnm XŦ

SƧnj tƵ, sỗ ėƧn vỌ vá ̫t bf ̫u X

1

kẪn kû b 0x

7

+ 1x

1

+ ;x

;

vâ tmï x

7

, x

1

v x

;

pmẫftmdẫ iën0x

7

+ 1x

1

+ ;x

;



75=5.

SẠt nmfn t kn pmẫf kû x

7



5, x

1



5 v x

;



5. Sónj tmu nmá ̫ p kỪ x njmf ̫ p (kẪn bi kƵk ėgf) b h 9 05x

7

+ ;5x

1

+35x

;

(njnėnj).Lmf ėû vẠn ėệ tmƵk tfỀn ėċ ̫t r ėk pmçt afịu tmnm af tdçn su? Sâi kçk afïnsỗ x

7

, x

1

v x

;

sd kmd h 9 05x

7

+ ;5x

1

+35x

;



ix, vỜf kçk ėfệu lf ̫n 3x

7

+ ;x

1

+ 1x

;



7155, 0x

7

+ 1x

1

+ ;x

;



75=5, (7.7) x

7



5, x

1



5, x

;



5.

7.1. Aåf tdgn xgk ėnm lmu pmn tmk ċnXn ėệ tmỷk tfỀn

I ̫t x njmf ̫ p kmċn nuf kẪn iu mf bdgf tmỦk ċn tónj mp S

7

, S

1

kmd jf skvỜf tỆ b ̫ kmï afïn ? 7 lj S

7

kmỦ ; ėƧn vỌ cfnm cnj C

7

(kmẠt ad), 7 ėƧn vỌ cfnmcnj C

1

(Myėrt kkadn) v 7 ėƧn vỌ cfnm cnj C

;

(Urdt`fn)< 7 lj S

1

kmỦ 7ėƧn vỌ C

7

, 7 ėƧn vỌ C

1

v 1 ėƧn vỌ C

;

. If aỤ ċn kmd jf sk kẪn tỗf tmfịu 85ėƧn vỌ C

7

, 35 ėƧn vỌ C

1

v 85 ėƧn vỌ C

;

. Mf x njmf ̫ p kẪn iu ad nmfu lj S

7

,S

1

kmd if aỤ ċn, sd kmd vỬ ėẫi aẫd tỗt cfnm cnj kmd aỤ ċn kỪ jf sk,vỬ ėị tónj sỗ tfện kmf iu tmỦk ċn b nm nmẠt. Kmd afït 7 lj S

7

jfç 15 njnėnj, 7 lj S

1

jfç 70 njn ėnj.

SmfẴt bẩp ió mnm tdgn mỉk

Jf x

7

, x

1

bẪn bt b sỗ lj tmỦk ċn S

7

, S

1

kẪn iu kmd if aỤ ċn. [ỗ ėƧn vỌkmẠt C

7

kû trdnj if aỤ ċn b ;x

7

+ x

1

, vâ tmï x

7

v x

1

kẪn tm iën

Kçk kmẠtIỦkKçk bdgf tmỦk ċntỗf tmfịuS

7

S

1

C

7

C

1

C

;

853585;77771Jfç 7 lj tmỦk ċn15 njn70 njn1

Aåf jfẫnj Wuf mdầkm tuyẴn ténm UJ[-S[ Bï Gnm XŦ

;x

7

+ x

1



85,SƧnj tƵ, ėị ėçp Ủnj nmu kẪu vệ kmẠt C

1

v C

;

kmd if aỤ ċn, x

7

v x

1

kẪntm iënx

7

+ x

1



35,x

7

+ 1x

1



85,SẠt nmfn, t knj ėf mfx

7



5 v x

1



5.[ỗ tfện kmf iu tmỦk ċn (kẪn bi kƵk tfịu) anj h 9 15x

7

+ 70x

1

(njn ėnj).Lmf ėû vẠn ėệ tmƵk tfỀn ėċ ̫t r ėk pmçt afịu tmnm af tdçn nm su? Sâi kçk afïn sỗ x

7

v x

1

sd kmd h 9 15x

7

+ 70x

1



ifn,vỜf kçk ėfệu lf ̫n ;x

7

+ x

1



85, x

7

+ x

1



35, (7.1) x

7

+ 1x

1



85, x

7



5, x

1



5.

7.;. Aåf tdgn vá ̫n tẫfXn ėệ tmỷk tfỀn ?

KẪn vá ̫n kmuyịn xf iċnj tỬ ; lmd L

7

, L

1

, L

;

tỜf 3 knjtrộnj xáy cƵnj S

7

, S

1

, S

;

, S

3

. Kmd afït bnj xf iċnj kû Ổ if lmd, bnj xfiċnj kẪn Ổ if knj trộnj v jfç kỜk vá ̫n kmuyịn (njn ėnj) i ̫t tẠn xfiċnj tỬ if lmd tỜf if knj trộnj nm su ?Lmd xf iċnjKnj trộnj xáy cƵnjS

7

? 7;5 tẠnS

1

? 785 tẠnS

;

? 715 tẠn S

3

? 735 tẠnL

7

? 7:5 tẠn157\=1110L

1

? 155 tẠn7010;570L

;

? 7\=5 tẠn30;535;0XẠn ėệ b tâi lï mdgkm vá ̫n kmuyịn xf iċnj tỬ kçk lmd tỜf kçk knj trộnjsd kmd if lmd pmçt mït bnj xf iċnj kû, if knj trộnj nmá ̫n ėỪ bnj xfiċnj kẪn v tónj kmf pm vá ̫n kmuyịn b nm nmẠt4Xán ėệ nu trn kû tmị i mânm mdç nm su? ĕċ ̫t x

fo

b bnj xf iċnj kẪn vá ̫nkmuyịn tỬ lmd L

f

(f 9 7, 1, ;) tỜf knj trộnj S

o

(o 9 7, 1, ;, 3).Kçk afïn sỗ kẪn tmdẫ iën kçk ėfệu lf ̫n su? x

77

+ x

71

+ x

7;

+ x

73

9 7:5 (lmd L

7

jfd mït bnj xf iċnj kû),

;

Reward Your Curiosity

Everything you want to read.

Anytime. Anywhere. Any device.

No Commitment. Cancel anytime.