Study on two-stage uncertain programming based on uncertainty theory

被引：7

作者：

Zheng, Mingfa ^{[1
]}

Yi, Yuan ^{[1
]}

Wang, Zutong ^{[2
]}

Chen, Jeng-Fung ^{[3
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

[2] Air Force Engn Univ, Mat Management & Safety Engn Coll, Xian 710051, Peoples R China

[3] Feng Chia Univ, Dept Ind Engn & Syst Management, 100 Wenhwa Rd, Taichung 40724, Taiwan

来源：

JOURNAL OF INTELLIGENT MANUFACTURING | 2017年 / 28卷 / 03期

关键词：

Uncertainty theory; Two-stage uncertain programming; Convexity; Artificial bee colony algorithm; TIME; ALGORITHM; MODEL;

D O I：

10.1007/s10845-014-1012-6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, based on uncertainty theory, we first present a new class of two-stage uncertain programming model and give its deterministic equivalent programming problem. Then some fundamental properties of the two-stage uncertain programming problem, including the convexity of feasible set as well as objective function, are investigated. In addition, a solution method by employing an efficiently heuristic algorithm, called artificial bee colony algorithm, is applied to solve the two-stage uncertain programming problem. Finally, some numerical examples are provided to illustrate the novel method introduced in this paper.

引用

页码：633 / 642

页数：10

共 33 条

[1] The two stage assembly flowshop scheduling problem to minimize total tardiness
Allahverdi, Ali
Aydilek, Harun
[J]. JOURNAL OF INTELLIGENT MANUFACTURING, 2015, 26 (02) : 225 - 237
[2] [Anonymous], 1997, Introduction to stochastic programming
[3] [Anonymous], 2009, THEORY PRACTICE UNCE
[4] [Anonymous], 2014, J UNCERTAIN SYSTEMS
[5] A two-stage Ant Colony optimization algorithm to minimize the makespan on unrelated parallel machines-part II: enhancements and experimentations
Arnaout, Jean-Paul
Musa, Rami
Rabadi, Ghaith
[J]. JOURNAL OF INTELLIGENT MANUFACTURING, 2014, 25 (01) : 43 - 53
[6] Chen J. F., 2013, J INTELL MANUF, DOI [10.1007/s10845-013-0842-y, DOI 10.1007/S10845-013-0842-Y.]
[7] Chen X., 2013, J. Uncertain. Anal. Appl, V1, P3, DOI [10.1186/2195-5468-1-3, DOI 10.1186/2195-5468-1-3]
[8] LINEAR PROGRAMMING UNDER UNCERTAINTY
Dantzig, George B.
[J]. MANAGEMENT SCIENCE, 1955, 1 (3-4) : 197 - 206
[9] LINEAR-PROGRAMMING WITH FUZZY RANDOM VARIABLE-COEFFICIENTS
GUANGYUAN, W
ZHONG, Q
[J]. FUZZY SETS AND SYSTEMS, 1993, 57 (03) : 295 - 311
[10] Jeang A., 2013, J INTELL MANUF, DOI [10.1007/s10845-013-0802-6, DOI 10.1007/S10845-013-0802-6.]

← 1 2 3 4 →