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概率约束规划的概率目标模型及其解法 被引量:1

Probabilistic Objective Model of Probabilistic Constrained Programming and Solution
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摘要 本文在介绍随机规划、概率约束规划及其解法的基础上,提出了概率约束规划的概率目标模型,并给出了概率目标模型的具体解法及计算程序,且与原模型及其解法进行了比较. The stochastic programming problem is a mathematical programming problem that involves random variables in the definite programming.Since it in-volves random variables in objective functions and constrained functions,it pro-duces many difficulties in computation.So,in this paper after introduciny the stachastic programming,the probabilistic constrained programming and the so-lution of the probabilistic constrained programming,a probabilistic objective mo-del of probabilistic constrained porgramming is proposes which the solution and computing programming of probabilistic objective model is deduces,and a com-parison is also maed of the original model and solution.So,the model with its so-lution proposed in this paper is a very effectvve and practical method for solving probablistic constrained programming problems.
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 1992年第1期90-95,共6页 Journal of Shanghai Jiaotong University
关键词 随机规划 概率约束规划 概率目标 stochastic programming probabilistic constrained programming probabilistic objective model two phase method
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参考文献3

  • 1胡毓达,实用多目标最优化,1990年
  • 2王金德,随机线性规划,1988年
  • 3万耀青,最优化计算方法常用程序汇编,1983年

同被引文献12

  • 1霍永亮,刘三阳.随机规划逼近最优解集的上半收敛性[J].西安电子科技大学学报,2005,32(6):953-957. 被引量:17
  • 2WEINTRAUB A. A cuting plane approach for chance constrained linear programs[J].Operations Research,1991,(05):776-785.
  • 3霍永亮.随机规划稳定性理论[M]成都:西南交通大学出版社,2010.
  • 4DENTCHEVA D,HENRION R,RUSZCZYNSKI A. Stability and sensitivity of optimi-zation problems with first order stochastic dominance constraints[J].Society for industrial and applied Mathmatics,2007,(01):322-337.
  • 5R(O)MISCH W,SCHULTZ R. STABILITY ANALYSIS FOR STOCHASTIC PROGRAMS[J].Annals of Operations Research,1992,(30):241-266.
  • 6ZERVOS M. ON THE EPICONVERGENCE OF STOCHASTIC OPTIMIZATION PROBLEMS[J].Mathematics of Operations Research,1999,(02):495-508.
  • 7PENNANEN T,KOIVN M. Epi-covergent discretizations of stochastic programs via integration quadratures[J].Numerische Mathematik,2005,(01):141-163.doi:10.1007/s00211-004-0571-4.
  • 8DUPACOVA J,WETS R J B. Asymptotic Behavior of Statistical Estimators of Optimal Solutions of Optimiation Problems[J].Annals of Statistics,1998,(01):1517-1549.
  • 9SALINETTI G. Approximations for chance constrained programming problems[J].Stochastica,1983,(10):157-179.
  • 10KUCHLER C. On stability of multistage stochastic programs[J].Society for industrial and applied Mathmatics,2008,(02):952-968.

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