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یکشنبه 04 آذر 1403
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Solving linear design problems using a linear-fractional value function
Abstract:
Previous papers developed a method to easily elicit a decision maker's (DM) preferences and account for changes in the DM's preference structure. Those preferences are modeled by piecewise linear indifference curves with varying slopes producing a piecewise linear-fractional value function. Compared with traditional optimization problems which traditionally use cost minimization or revenue maximization, this model is DM-specific, it generates a knowledge set (KS) and allows the DM to find an optimal solution based on his/her expertise and preferences. When combined with real world constraints, maximizing the DM's preferences generates a decision support system (DSS) for solving specific organizational problems. This paper develops an efficient algorithm to solve a mathematical programming problem with a linear fractional objective function that models changing DM preferences and linear constraints. A DSS is developed and its algorithm is illustrated by constructing a specific example of the DSS for scheduling a police force when the objective is to maximize the police chief's expertise and preferences regarding law enforcement.
Keywords: Decision analysis Multiple criteria analysis Linear-fractional preference structure Piecewise linear-fractional model
Author(s): .
Source: Decision Support Systems 55 (2013) 110–116
Subject: تصمیم گیری
Category: مقاله مجله
Release Date: 2013
No of Pages: 7
Price(Tomans): 0
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