An Integer Fuzzy Transportation Problem

Computers and Mathematics with Applications

Volumn 31, Issue 9, 1996, Pages 71-87

  Tada, M ^a   Ishii, H ^b  

^a RYUKOKU UNIVERSITY   (Japan)

^b OSAKA UNIVERSITY   (Japan)

Author keywords

Budget constraint; Fuzzy demand; Fuzzy supply; Integral constraint; Membership function; Transportation problem

Indexed keywords

CONSTRAINT THEORY; FUZZY SETS; GRAPH THEORY; INTEGRAL EQUATIONS; MEMBERSHIP FUNCTIONS;

BIPARTITE NETWORK; BUDGET CONSTRAINT; INTEGER FUZZY TRANSPORTATION PROBLEM; SUPPLIES AND DEMANDS;

OPTIMIZATION;

EID: 0030150946     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(96)00044-2     Document Type: Article

References (10)

1. L.R. Ford, Jr. and D.R. Fulkerson, Flows in Network, Princeton University Press, (1962).
2. H. Ishii, M. Tada and T. Nishida, Fuzzy transportation problem (in Japanese), J. of Japan Society for Fuzzy Theory and Systems 2 (1), 79-84 (1990).
3. R.K. Ahuja, J.L. Batra and S.K. Gupta, A parametric algorithm for convex cost network flow and related problems, European J. of Operational Research 16, 222-235 (1984).
4. G.B. Dantzig, Linear programming under uncertainity, Management Science 1, 197-206 (1955).
5. A.R. Ferguson and G.B. Dantzig, The allocation of aircraft to routes - An example of linear programming under uncertain demand, Management Science 3, 45-73 (1956).
6. H.J. Zimmermann, Using fuzzy sets in operational research, European J. of Operational Research 13, 201-216 (1983).
7. L.A. Zadeh, Fuzzy sets, Information and Control 8, 94-102 (1965).
8. nd revised edition, Kluwer, Boston, (1991).
9. M. Tada, H. Ishii and T. Nishida, Fuzzy transportation problem with integral flow, Math. Japonica 35 (2), 335-341 (1990).
10. J. Munkres, Algorithms for the assignment and transportation problems, SIAM J. 10, 196-210 (1962).