or57_4_175.dvi
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1 c Excel Excel Excel Excel Microsoft Excel 1. OR Microsoft Excel Excel 1 Excel Excel Excel or 2007 Excel OR Excel Excel LP Excel LP Excel Excel Excel Excel 2010 Excel OpenOffice Calc 2. Excel Excel 1 Excel (i) (ii) Excel DB 2 1 LP 0-1 [3] [1] Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited
2 DB 2 OK 1 2 Excel DB DB A B C c ij 2 u ij a i b j A B C A B C i {A, B, C} =: I j {1, 2, 3, 4} =: J x ij LP 3 (P1) (x ij ) c ijx ij (1) i I x ij a i, i I (2) x ij = b j, j J (3) i I 0 x ij u ij, i I,j J (4) c ij i j 1 a i i 2 b j j 2 u ij i j 2 Excel x ij 1 Excel 4 1 LP Excel C4:F6 c ij C11:F13 u ij 3 1 H18:H20 a i 1 4 C22:F22 b j (1) (2) 3 (3) 4 (2) (4) x ij,i I,j J (2) i 4 x ij a i i I (3) j 3 i I x ij b j 2 1 Excel 3 (P1) (1) (1) x ij,i I,j J (P1) i j x ij c ijx ij (1) j J (4) i j x ij 0 u ij x ij,i I,j J 4 LP LP [2] Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited.
3 3 4 DB c ij,u ij,a i,b j x ij x ij 3 C18:F20 x ij G21 cijxij i j =SUMPRODUCT(C4:F6,C18:F20) 6 (2) j xij G18:G20 G18 =SUM(C18:F18) G19 G20 7 (3) C21:F21 C21 =SUM(C18:C20) D21:F DB 4 DB 6 SUMPRODUCT( 1, 2) G18 [Ctrl]+[C] G19:G20 [Ctrl]+[V] OK G19 =SUM(C19:F19) 8 8 (i) G21 G21 $G$21 (ii) (iii) x ij C18:F20 (iv) (2) (4) DB DB (2) G18:G20 <= H18:H20 DB OK (2) 3 9 (3) (4) (3) 4 C21:F21 = C22:F22 (4) Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited
![[Ctrl]+[V] OK G19 =SUM(C19:F19) 8 8 (i) G21 G21 $G$21 (ii) (iii) x ij C18:F20 (iv) (2) (4) DB DB (2) G18:G20 <= H18:H20 DB OK](/docs-images/55/20099752/images/page_3.jpg "(2) 3 9 (3) (4) (3) 4 C21:F21 = C22:F22 (4) 9 2012 4 Copyright c by ORSJ.")
4 x ij u ij C18:F20 <= C11:F13 (4) x ij (v) LP 10 DB DB OK C18:F20 G Excel 11 j x j J := {a,..., r} (P2) (x j ) b jx j (1) c jx j 100 (2) x j {0, 1}, j J (3) (P2) (0-1) x j,j J 0 1 (P1) (P2) Excel B3:S3 c j B4:S4 Excel b j U3 100 B5:S5 x j T3 (2) =SUMPRODUCT(B3:S3,B$5:S$5) T4 T4 2 a r T4 B5:S j a b c d e f g h i j k l m n o p q r LP 1 (2) T3 <= U3 BB B E E E EEEEESSSSSSS x j (3) c j b j DB B5:S5 10 bin 6 Excel 2010 = 11 Excel SUMIF Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited.
5 LP 6 PC B5:S f ij z ij L11:O13 7 G22 =SUMPRODUCT(L4:O6,L11:O13) (1) fijzij i j G23 =SUM(G21:G22) (1) L18:O20 x ij x ij u ijz ij L18 =L11*C11 L18:O i j 4 f ij 7 4 f ij A B C (P3) (x ij,z ij ) B 3 x B3 c B3x B3 = 7x B3 f B3 =20 (c ijx ij + f ijz ij) (1) i I x ij a i, i I (2) x ij = b j, j J (3) i I 0 x ij u ijz ij, i I,j J (4) z ij {0, 1}, i I,j J (5) 0-1 i j z ij (4) x ij > 0 z ij =1 1 L4:O6 1 DB (i) G23 (ii) L11:O13 12 (iii) C18:F20 <= C11:F13 DB L18:O20 (iv) L11:O13 bin z ij (5) DB C18:F20, L11:O13 C18:F20,L11:O13 $ Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited
6 E 2 E 5 E ? J E E E := {d,..., k} {a,..., r} =: J j E 5 3 E z j {0, 1} j E (P4) (x j,z j ) c jx j 0.3 c jz j (1) j E b jx j 73 (2) z j x j, j E (3) z j 1 x 5 i, j E (4) i E x j {0, 1}, j J (5) z j {0, 1}, j E (6) (6) z j 0 1 (1) z j =1 j (4) x i =1 i 5 z j =1 14 (P4) 8 2 z j,j E E6:L6 8(a) T5 =SUM(E5:L5)/5 (4) T6 =0.3*SUMPRODUCT(E3:L3,E6:L6) OK DB DB (%) 0 14 (1) 2 U3 =T3-T6 (1) 8(b) 8 2 U3 B5:S5,E6:L6 (i) T4 >= 73 (2) 15 (ii) E6:L6 <= E5:L5 (3) (iii) E6:L6 <= T5 (4) (iv) B5:S5 = (5) (v) E6:L6 = (6) LP Excel 2 4 Excel 0 1 bin int LP (b) U4 73 T4 >= U Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited.
7 Excel LP LP GRGExcel Excel 2010 Excel Excel IF MAX MIN Excel A := {(i, j) :i I,j J} (N,A) (x ij) (i,j) A 9 i ai bj j (P5) (x ij ) c ijx ij (1) x ij x ij = a i,i N (2) (i,j) A j:(i,j) A j:(j,i) A 0 x ij u ij, (i, j) A (3) (N,A) 1 (i, j) A i j (P5) A (i, j) i N (2) (2) j:(i,j) A xij j:(j,i) A xij Excel (i, j) SUMIF i ai bj B j a B 35 SUMIF Excel v N := I J 1 a j := b j,j J Excel Frontline Systems HP 19 [2] SUMIF 1 VBA Excel VBA 20 SUMIF Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited
8 DEA 200 LP VBA for Excel Excel Excel [1] Excel [2] [3] Excel OR Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited.
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c 816 Web 1. 30 [1] [2] [3, 4] [5] 10 [6] 185 8540 2 8 38 [5] [5, 7] [5] 3 (1) 608 18 Copyright c by ORSJ. Unauthorized reproduction of this article is prohibited. (2) (3) 2. 2.1 Web 2014 1 2013 12 2.2
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or58_8_455.dvi
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or58_11_651.dvi
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数理計画法入門 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.
数理計画法入門 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/092181 このサンプルページの内容は, 初版 1 刷発行時のものです. i 1947 G.B. Dantzig 3 (1) (2) (3) (4) Microsoft Excel Web 4 1 2 2 2 2 3 ii 4
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 () - 1 - - 2 - - 3 - - 4 - - 5 - 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
66~ 274~600 ~26,948 ~961. ~ 66~ 69~ ~ ~53 
2015春夏KIJE日本語.indd
J apanese text Copyright - Sekai Bunka Publishing Inc. All rights reserved. Reproduction in whole or in part without permission is prohibited. Spring / Summer 2015 Vol. 35 1 J apanese text Copyright -
2010_summer_spring_all.indd
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0226_ぱどMD表1-ol前
No. MEDIA DATA 0 B O O K 00-090-0 0 000900 000 00 00 00 0000 0900 000900 AREA MAP 0,000 0,000 0,000 0,000 00,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 00,000 0,000
PowerPoint プレゼンテーション
-1- -2- HTML HTML HTML 10 10 1 100 1 200 -3- Web Web -4-1. CGI URL 2. 3. OK 4. -5- ------------------------------------------------------------- - 1. 2. 3. 4. 5. -------------------------------------------------------------
ICT 5,293 (2012 3 31 ) http://www.nttcom.co.jp/employ/recruit/ 4. IT IT / / IT / / . BB http://recruit.softbank.jp/graduate/ 3-7-1 28 29 URL.http://www.nliro.or.jp 2014 . ( ) 10 ( ) < > / < > . ( )
(1)2004年度 日本地理
1 2 3 4 1 2 3 4 5 6 7 8 9 10 11 12-5.0-5.1-1.4 4.2 8.6 12.4 16.9 19.5 16.6 10.8 3.3-2.0 6.6 16.6 16.6 18.6 21.3 23.8 26.6 28.5 28.2 27.2 24.9 21.7 18.4 22.7 5 1 2 3 4 5 6 7 8 9 10 11 12 2.2 3.5 7.7 11.1
ito.dvi
1 2 1006 214 542 160 120 160 1 1916 49 1710 55 1716 1 2 1995 1 2 3 4 2 3 1950 1973 1969 1989 1 4 3 3.1 3.1.1 1989 2 3.1.2 214 542 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27