The development of optimization and decision theory in systems engineering

被引：0
作者：
Liu J. [1 ]
Wang X. [1 ,2 ]
机构：
[1] School of Economics and Management, Wuhan University, Wuhan
[2] Institute of Systems Engineering, Wuhan University, Wuhan
来源：
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2020年 / 40卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Decision theory; Game theory; Optimization theory; Systems engineering;
D O I：
10.12011/1000-6788-2020-0106-16
中图分类号：
学科分类号：
摘要：
Systems engineering is a comprehensive technical discipline. In this paper, the optimization and decision methods involved in systems engineering are introduced respectively from the perspective of single person optimal decision theory and multi-person optimal decision theory, including optimization theory, decision theory, game theory and other theoretical methods. This paper summarizes the characteristics, basic conclusions and development process of each theoretical approach, and describes the future development of optimization and decision theory used in systems engineering. It provides some references for the research and application of optimization and decision theory in solving systems engineering problems. © 2020, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.
引用
收藏
页码：1945 / 1960
页数：15
相关论文
共 123 条
  • [1] Stigler G L., The cost of subsistence, American Journal of Agricultural Economics, 27, 2, pp. 303-314, (1945)
  • [2] Balintfy J L., Mathematical modeling and human nutrition, Science, 181, 4099, pp. 581-582, (1973)
  • [3] Novotny J A, Green M H, Boston R C., Advances in experimental medicine and biology] Mathematical modeling in nutrition and the health sciences, (2003)
  • [4] Krajewski L J, Ritzman L P, Mckenzie P., Shift scheduling in banking operations: A case application, Interfaces, 10, 2, pp. 1-8, (1980)
  • [5] Weingartner H M., Capital budgeting of interrelated projects: Survey and synthesis, Management Science, 12, 7, pp. 485-516, (1966)
  • [6] Maier S F, Vander Weide J H., Capital budgeting in the decentralized firm, Management Science, 23, 4, pp. 433-443, (1976)
  • [7] Nemhauser G L, Wolsey L., Polynomial-time algorithms for linear programming, Integer and Combinatorial Optimization, (1988)
  • [8] Kaur J, Kumar A., Fuzzy optimal solution of fully fuzzy linear programming problems with equality constrains, An Introduction to Fuzzy Linear Programming Problems. Studies in Fuzziness and Soft Computing, 340, (2016)
  • [9] Mangasarian O L, Fromovitz S., The Fritz John necessary optimality conditions in the presence of equality and inequality constraints, Journal of Mathematical Analysis & Applications, 17, 1, pp. 37-47, (1967)
  • [10] Arrow K J, Enthoven A C., Quasi-concave programing, Econometrica, 29, 4, pp. 779-800, (1961)
12345678910