Capacitated Stochastic Fractional Transhipment Problem
Keywords:
Fractional Problem, Transhipment, Notations, Stochastic EnvironmentAbstract
The present paper analyses a transshipment type fractional programming under stochastic demand. The objective is to maximize the expected profitability of the total transshipment schedule, the net expected profitability being defined as the total expected revenue minus the loss in transshipment. The stochastic transshipment problem is reduced to an equivalent deterministic transportation problem for which an algorithm is developed and numerically illustrated.
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Ferguson, A. R. and G. B. Dantzig (1956): “The Allocation of Aircraft to Routes- An Example of Linear Programming Under Uncertain Demand”. Management Science Vol. 3, pp. 45-73.
Garvin W.W., (1960) Introduction to Linear Programming”, McGraw Hill Book Company, New York.
Gupta S.N. and Swarup, K. (1979): “Stochastic Transportation Problem With a Fractional Functional Objective”, Ricerca Operativa, No.10, [2], pp.116-129.
Kanti Swarup (1966): “Transportation Technique in Linear Fractional Functionals Programming”, J.R.N.S.S., Vol. 21, pp. 256-260.
Kanti Swarup (1970): “Upper Bound Problem in Linear Fractional Functional Programming”, Metrika, Vol. 15, pp. 81-85.
Javaid, S., Gupta S.N. and M.M. Khalid (1997): “Stochastic Linear Transshipment Problem”, Vol. 13, No.3, IJOMAS, pp. 261-270.
Orden, A., “The Transshipment Problem” Management Science 2, pp.276-285 (1956)
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Copyright (c) 2008 Shakeel Javaid, Dr. S. N. Gupta
This work is licensed under a Creative Commons Attribution 4.0 International License.
