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不定期多目标动态规划问题的非劣矩阵解法赵冬梅
38 6 Vol. 38 No. 6
2003 12 JOURNAL OF SOUTHWEST JIAOTONG UNIVERSIT Y Dec. 2003
:0258-2724(2003) 06-0677-05
1 2
赵冬梅 , 陶章华
( 1. , 610031; 2. , 510630)
: , ,
. .
, .
.
: ; ;
: O221. 6 :A
Method of Noninferior Matrix of Multi-objective
Dynamic Programming with Indefinite Phases
1 2
ZH A O Dong-mei , TA O Zhang-hua
( 1. School of Economics an Management, Southwest Jiaotong University, Cheng u 610031, China; 2. China
T elecom-Guangzhou Research an Development Center, Guangzhou 510630, China)
Abstract: From the fact that mult-i objective programming w ith in efinite phases has usually only
noninferior solutions, the concepts of the noninferior compoun matrix of phase return an the
recurrence matrix for mult-i objective programming w ith in efinite phases were put forwar . Base
on these concepts, metho of noninferior matrix to solve mult-i objective ynamic programming
problems w ith in efinite phases w as given. In this metho , it is not necessary to give the relative
w eights of objectives beforehan , an all the noninferior solutions can be gotten easily. T he vali ity
of the metho w as verifie by an example.
Key words: mult-i objective programming; noninferior solution; noninferior matrix
1
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[ 1]
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, : n ,
1, 2, ,, n, { 1, 2, ,, n} . i j ( ) C (
ij
, ] ) , 0 [ Cji [ ] , 1[ i, j [ n, n ( ) .
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, , . t
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. , , , [2]
: 2003-05
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