Operations research: principles and practice, 2nd ed.
Operations research: principles and practice, 2nd ed.
Fuzzy multiple goal programming applied to TFT-LCD supplier selection by downstream manufacturers
Expert Systems with Applications: An International Journal
Formulating the multi-segment goal programming
Computers and Industrial Engineering
Computers and Industrial Engineering
| Hi-index | 0.98 |
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.