Multi-choice stochastic transportation problem involving weibull distribution

An International Journal of Optimization and Control: Theories & Applications

article

Deshabrata Roy Mahapatra¹ 

[1] Department of Mathematics, Kishorenagar Sachindra Siksha Sadan Contai

关键词: Multi-choice Programming;    Stochastic Programming;    Weibull Distribution;    Transporta;    tion Problem;    Transformation Technique;    Mixed-integer Programming.;   

DOI  :  10.11121/ijocta.01.2014.00154

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

A solution procedure for multi-choice stochastic transportation problem is presented herewith some stochastic constraints containing parameters as supply and demand of Weibull distributionand cost coecients of objective function have multi-choice in nature of real life situation. At rst, allstochastic constraints are transformed into deterministic constraints by using the stochastic approach.A transformation technique is introduced for manipulation of multi-choice cost coecients of objectivefunction 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 consecutiveterms 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 proposedmodel.

【 授权许可】

CC BY