Multi-choice stochastic transportation problem involving weibull distribution
Keywords:Multi-choice Programming, Stochastic Programming, Weibull Distribution, Transporta- tion Problem, Transformation Technique, Mixed-integer Programming.
AbstractA solution procedure for multi-choice stochastic transportation problem is presented here
with some stochastic constraints containing parameters as supply and demand of Weibull distribution
and cost coecients of objective function have multi-choice in nature of real life situation. At rst, all
stochastic constraints are transformed into deterministic constraints by using the stochastic approach.
A transformation technique is introduced for manipulation of multi-choice cost coecients of objective
function into equivalent deterministic form in terms of binary variables with additional restrictions.
The auxiliary and additional constraints involving binary variables depend upon the set of consecutive
terms of cost coecients of the objective function whose sum is equal or nearer to the aspiration levels.
Finally, a numerical example is presented to illustrate the solution procedure of the specied proposed
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