Geometric Programming Approach to an Interactive Fuzzy Inventory Problem
Author(s) -
Nirmal Kumar Mandal
Publication year - 2011
Publication title -
advances in operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.379
H-Index - 14
eISSN - 1687-9155
pISSN - 1687-9147
DOI - 10.1155/2011/521351
Subject(s) - geometric programming , mathematical optimization , decision maker , fuzzy logic , computer science , compromise , constraint (computer aided design) , nonlinear programming , linear programming , goal programming , nonlinear system , mathematics , operations research , artificial intelligence , social science , physics , geometry , quantum mechanics , sociology
An interactive multiobjective fuzzy inventory problem with two resource constraints is presented in this paper. The cost parameters and index parameters, the storage space, the budgetary cost, and the objective and constraint goals are imprecise in nature. These parameters and objective goals are quantified by linear/nonlinear membership functions. A compromise solution is obtained by geometric programming method. If the decision maker is not satisfied with this result, he/she may try to update the current solution to his/her satisfactory solution. In this way we implement man-machine interactive procedure to solve the problem through geometric programming method
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