• solving multi-choice linear programming problems by interpolating polynomials

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 997
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     multi-choice programming solves some optimization problems where multiple information exists for a parameter. the aim of this paper is to select an appropriate parameter from a set of multiple choices, which optimizes the objective function. we consider a linear programming problem where the right hand side parameters are multi-choice in nature. in this paper, the multiple choices of a parameter are considered as functional values of an affine function at some non-negative integer nodes. an interpolating polynomial is formulated using functional values at non-negative integer nodes to take care of any multi-choice parameter. after establishing interpolating polynomials of all multi-choice parameters, a mathematical programming problem is formulated. the formulated problem is treated as a nonlinear programming problem involving mixed integer type variables. it can be solved by using standard nonlinear programming software. finally, a numerical example is presented to illustrate the solution procedure.

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