[1] Han Shilian, Li Xuhong,. Fuzzy programming approach solutionfor multi-objective solid transportation problem [J]. Journal of Southeast University (English Edition), 2004, 20 (1): 102-107. [doi:10.3969/j.issn.1003-7985.2004.01.021]
Copy
Fuzzy programming approach solutionfor multi-objective solid transportation problem(
)
多目标多模式运输问题的模糊规划方法解
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 20
- Issue:
- 2004 1
- Page:
- 102-107
- Research Field:
- Mathematics, Physics, Mechanics
- Publishing date:
- 2004-03-30
Info
- Title:
- Fuzzy programming approach solutionfor multi-objective solid transportation problem
- 多目标多模式运输问题的模糊规划方法解
- Author(s):
- Han Shilian; Li Xuhong
- College of Transportation, Southeast University, Nanjing 210096, China
- PACS:
- O159
- DOI:
- 10.3969/j.issn.1003-7985.2004.01.021
- Abstract:
- Based on recent research developments in multi-objective solid transportation problem(MOSTP), this paper presents a fuzzy programming approach to determine the optimal compromise solution of MOSTP. The characteristic feature of the proposed approach is that various objectives are synthetically considered with marginal evaluation for individual objectives and global evaluation for all objectives. The decision-maker’s preference is taken into account by his/her assigning weights to the objectives. With global evaluation for all objectives, a compromise programming model is formulated. As a generic aggregation operator is adopted, several solution methods proposed earlier become special cases of this approach, and the solution process also becomes more flexible and realistic. An illustrative numerical example is provided to demonstrate the approach.
- 本文在现有研究进展的基础上, 提出了一种用于求解多目标多模式运输问题(MOSTP)的最优折衷解的模糊规划方法, 该方法的特征是综合考虑了每个目标的边缘评价和所有目标的整体评价因素.通过分配每个目标的权重将决策者的偏好充分体现到决策过程中, 并通过相应的折衷规划模型, 在对所有目标整体评价的基础上得到决策者所期望的折衷解.由于采用广义的模糊目标集成算子, 该方法不仅对现有求解方法进行了扩展, 而且在求解方式上也更加灵活和切合实际.最后采用实例论证了该方法的求解过程.
References:
[1] Hitchcock F L. The distribution of a product from several sources to numerous localities [J]. Journal of Mathematical Physics, 1941, 20(1): 224-230.
[2] Aneja Y P, Nair K P K. Bicriteria transportation problems [J]. Management Science, 1979, 25(1): 73-88.
[3] Lee S M, Moore L J. Optimizing transportation problems with multiple objectives [J]. AIEE Transactional, 1973, 5(2): 333-338.
[4] Ringuest J L, Rinks D B. Interactive solutions for the linear multiobjective transportation problem [J]. European Journal of Operations Research, 1987, 32(1): 96-106.
[5] Current J, Min H. Multi-objective design of trans￣portation networks: taxonomy and annotation [J]. European Journal of Operations Research, 1986, 26(1): 187-201.
[6] Haley K B. The existence of a solution to the multi index problem [J]. Oper Res Quart, 1965, 16(4): 471-474.
[7] Zadeh L A. Fuzzy sets [J]. Information Control, 1965, 8(3): 338-353.
[8] Bit A K, Biswal M P, Alam S S. Fuzzy programming approach to multicriteria decision making transportation problem [J]. Fuzzy Sets and Systems, 1992, 50(1): 35-41.
[9] Bit A K, Biswal M P, Alam S S. Fuzzy programming approach to multiobjective solid transportation problem [J]. Fuzzy Sets and Systems, 1993, 57(2): 183-194.
[10] Zimmermann H J.Fuzzy set theory and its appli￣cations [M]. Boston: Kluwer Academic Publishers, 1996.
[11] Bit A K, Biswal M P, Alam S S. An additive fuzzy progra￣mming model for multiobjective trans￣port￣ation problem [J]. Fuzzy Sets and Systems, 1993, 57(3): 313-319.
[12] Luhandjula M K. Compensatory operators in fuzzy linear programming with multiple objectives [J]. Fuzzy Sets and Systems, 1982, 8(2): 245-252.
[13] Yager R R. Competitiveness and compensation in decision making [R]. New York: New Rochelle, 1978.
[14] Lee E S, Li R J. Fuzzy multiple objective programming and compromise programming with Pareto optimum [J]. Fuzzy Sets and Systems, 1993, 53(2): 275-288.
Memo
- Memo:
- Biographies: Han Shilian(1970—), female, graduate; Li Xuhong(corresponding author), male, doctor, professor, lixuhong@seu.edu.cn.