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?21? ?7? 2004?12? ? CHINESE JOURNAL OF ENGINEERING MATHEMATICS Vol. 21 No. 7 Dec. 2004 ?:1005-3085(2004)07-0137-05 ? ?,?,? ?:?,?,? (? 450001) ?:? ? ? ?:?0-1? ? ? ? ?0-1? ?N?M?Matlab?Lingo? ? ? ? ?: ?0-1? ?: AMS(2000) 90C10?: O221.4?: A 1? 2? 1)? (1)? (2)? (3)? (4)? (5)? 2)? r? qij?i?j? Q? Q1? Q2? BN4?(1)? CN1?(1)? DN1?(2)? EN1?(3)? FN1?(4)? 万方数据 138?21? GN4? M? Mi?i? N? S? X? A? 3? ? ? ? ? ? ? ? ?r?i? ?j?qij?Q?r? ? ?S?i?j?sij= ? ?i?j?sij= ?i?j?sij= ? ?S = (sij)N?S?Q?Q1?Q2? ?X?i?j?xij=1?xij=0? ? N P i=1 4 P j=1 xijqij? N P i=1 4 P j=1 xijqij?0-1?X? ? 4? ?N?M?K? ? ? ? 1)? ?1?2?4? ? ? ?1?1/2? ?1/4?1/8? (1)? ? ? ?(1),?(A)?(B)? 万方数据 ?7?139 ?(C)? A = 11/2 2 1/2 2141 1/2 1/4 1 1/4 2141 ?12= 1/2?1)?1 : 2?23= 4? ?1)?4 : 1?A? ? = 4.0000? = (0.1618, 0.3636, 0.0909, 0.3636)T ?1)?1)? ? ? = 0.1818 0.4444 0.1000 0.1111 0.3636 0.2222 0.1000 0.2222 0.0909 0.2222 0.4000 0.2222 0.3636 0.1111 0.4000 0.4444 (2)? ?1? ?1/2?1/4?1/8? ? ? ?1?N? ?BN4? (3)?(1)? ?CN1?(1)?CN1= BN1 1?1? ? (4)?(2)?(3)?(3)?(2)?(3)?(4)? ?DN1?EN1?FN1?CN1?DN1?EN1?FN1? ?GN4? 2)? ?1? ? 3)? ?r?r=1?r? ? ?qij=?+?r? ?Q? ? 万方数据 140?21? ?0-1?X?xij? xij= 1 ?i?j? 0 ?i?j? 1)? ? ?(1)?M1? ?(2)?M2?(3)?M3?(4)?M4? ?M1+ M2+ M3+ M4= M? max = N X i=1 4 X j=1 xijqij s.t. 0 4 P j=1 xij 1 Mj N P i=1 xijj = (1,2,3,4) N P i=1 4 P j=1 xij= K (1) ?xij?X? 2)? ?S = (sij)NM sij ?i?j ?i?j ?i?j ?S?Q?P? ?pij?(1)?qij?xij? ?X2? 5? 1)?N=16?M=7?K=8?M1= 1?M2= M3= M4= 2?r=?16? ?Q?(1)?LINGO? x5,1= x1,2= x2,2= x4,2= x6,3= x9,3= x11,4= x12,4= 1?xij= 0? ?5?(1)?1?,?1,2,4?(2)? ?2?3?,?6?9?(3)?4,5?,?11?12?(4)? ?6,7? 2)? ? ?=1?=1?=0?Q1? ?(1)?x 0 3,1= x 0 1,2= x 0 5,2= x 0 6,3= x 0 9,3= x 0 4,4= x 0 11,4= x 0 12,4= 1?xij = 0? ?:?3?(1)?1?,?1,5?(2)?2?3?,? ?3?9?(3)?4,5?,?11?12?(4)?6,7? ?=1,=0.8,=0.5? ?Q2? 万方数据 ?7?141 ?x 00 3,1= x 00 1,2= x 00 5,2= x 00 6,3= x 00 9,3= x 00 4,4= x 00 11,4= x 00 12,4= 1?x 00 ij = 0? ?3?(1)?1?,?1,8?(2)?2?3?,? ?2?6?12?(3)?4,5?,?4?11?(4)?6,7? 3)? ? ? ? ? ? ? ? ? ? ? ? ? ? = 0.6582 0.2473 0.1056 0.2473 0.6582T ?W?wi?i? = 1.3900 0.9512 1.3129 1.7517 1.4778 1.4778 1.7517T ?W?4?7?3? ?4? ? ? 6? 1)? ? 2)? ? 3)? 4)?N, M, K? ? ? ? 1 ?. ?M. ?2001 2 ?. ?M. ?2002 3 ?. Matlab6.0?M. ?2001 4 ?. ?M. ?1990 5 ?. ?M. ?1999 (?123?) 万方数据 ?7?123 2 Richard D. Christie, Bruce F. Wollenberg. Transmission Management in the Deregulated EnvironmentJ. Proceedings of The IEEE, 2000;88(2):170-195 3 David M Newbery. The Regulators Review of the English Electricity PoolR. OFFER, August 1998 4 R.Bellman. ?M. ?. ?1983. Transmission Congestion Management of Electricity Markets LIU Kang-Sheng,HU Chong-Hai (Department of Mathematics of Zhejiang University, Hangzhou 310027 ) Abstract: The background and intension of problem B of 2004 Chinese Undergraduate Mathematical Contest in Modelling are introduced. A pragmatic mathematical model is proposed with brief analysis of modelling idea and methods. Some review and remarks are further given based on answer papers. Finally, our feelings and suggestions are stated. Keywords: electricity markets; congestion management; congestion cost; linear programming (?141?) Consideration about the Invitation of Offi cials WEI Ran,GU Li,RAN Qing-li Advisor: YANG Lu-shan,LE Fu-long,PENG Chang-yong (College Of Science Of P.L. AInformation Engineering University, Zhengzhou 450001 ) Abstract: In this paper, we use AHP and 0-1 integral programming establishing a mathematical model about the invitation of offi cials. According practice we present a general algorithm. we introduce the concept of weight combining the score of written examination and interview of the persons that apply for job and obtain a 0-1 integral programming problem by the maximum of sum of weights as objective function. Then we solve the problem using Matlab and Lingo. also, we extend our method to the general case for TRIALRES

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