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The generalized fuzzy demand and supply transportation problem

Author Affiliations

  • 1Department of Mathematics, J.V. Jain College, Saharanpur-247001, UP, India
  • 2Department of Mathematics, J.V. Jain College, Saharanpur-247001, UP, India

Res. J. Recent Sci., Volume 6, Issue (8), Pages 12-16, August,2 (2017)

Abstract

The present paper deals with the transportation problem with uncertainty in demand and supply of items. In the previous years these types of problems have been discussed and presented a lot of algorithm to solve such type of problem in deterministic and stochastic environment. But only a limited number of authors have discussed the uncertainty in demand and supply. As practically we see that if there is a variation in demand and supply the cost of the item and transportation cost can be very as the transported vehicle capacity. If there is a variation in the capacity and supply of a vehicle then the cost of the transportation can effect. Here we will discuss such type of problem and make an algorithm to solve such situation. The LR-type fuzzy numbers are used to represent uncertainty in demand, supply and capacity of vehicle.

References

  1. Chanas Stefan, Kołodziejczyk Waldemar and Machaj Anna (1984)., A fuzzy approach to the transportation problem., Fuzzy Sets and Systems and systems, 13(3), 211-221.
  2. Chanas Stefan and Kuchta Dorota (1998)., Fuzzy integer transportation problem., Fuzzy Sets and Systems, 98(3), 291-298.
  3. Ferguson A.R. and Dantzig G.B. (1956)., The allocation of aircraft to routes An example of linear programming under uncertain demand., Mgmt. Sci, 3, 45-73.
  4. Bit A.K. (2005)., Fuzzy programming with hyperbolic functions for multi objective capacitated transportation problem., OPSEARCH Society of India, 42(3), 106-120.
  5. Dubois D. (1980)., Fuzzy sets and systems Theory and applications., Academic Press, New York, 144.
  6. Balas E. and Ivanescu P.L. (1964)., On the generalized transportation problem., Mgmt. Sci., 11, 188-202.
  7. Zadeh L. and Bellman R. (1970)., Decision-making in a fuzzy environment., Mgmt. Sci., 17(4), 141-164.
  8. Saad Omar M. (2005)., On the Integer solutions of the Generalized Transportation problem under Fuzzy Environment., OPSEARCH, Society of India, 42(3), 238-250.