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An efficient genetic algorithm for determining the optimal price discrimination

Abstract

This paper proposes a genetic algorithm (GA) to solve a price discrimination model developed to determine the product’s selling price in two markets.

The model considers the production as a function of price in one market and as a function of price and marketing expenditure in other market.

The cost of production is also assumed to be a function of production in both markets.

The objective is to maximize the benefit under restricted prices and marketing expenditure in two markets.

The considered model is a posynomial geometric programming (GP) problem with continues non-linear/non-convex objective function and linear boundary constraints.

The proposed model cannot be solved optimally by a common approach such as geometric programming in a reasonable amount of time.

The results show that the proposed GA can become rapidly convergent to near global optimum.

Some of typical numerical examples are solved by GA and results are reported.

GA解決一些典型的數字例子，並且結果報告。

Also, we implement a sensitivity analysis on some of model parameters in order to have a better understanding of the performance and behavior of the proposed GA.

Keywords: Geometric programming; Genetic algorithm; Optimization; Production and operation management; Economics

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• 1 0 年前
最佳解答

An efficient genetic algorithm for determining the optimal price discrimination

確定的優選的格區別一種高效率的基因算法

mine>針對決定最理想價錢的辨別力之一個有效的基因演算法

Abstract

摘要

This paper proposes a genetic algorithm (GA) to solve a price discrimination model developed to determine the product’s selling price in two markets.

mine>這篇文章提出了一種基因演算法去解決一個為了決定產品在市場上的售價的售價區分模組。

The model considers the production as a function of price in one market and as a function of price and marketing expenditure in other market.

mine>該模組將生產視為在一個市場上價格之原理以及將生產視為一個價錢及市場在其他市場支出額的原理

The cost of production is also assumed to be a function of production in both markets.

mine>生產的花費也可以被假設成在兩個市場中生產力的原理

The objective is to maximize the benefit under restricted prices and marketing expenditure in two markets.

mine>該宗旨是為了在兩個市場中於有限的價錢及市場支出額下使利益最大化

The considered model is a posynomial geometric programming (GP) problem with continues non-linear/non-convex objective function and linear boundary constraints.

mine>此考量下的模組是屬於一個伴隨持續非線性/非凸性物體的原理及線性界線約制下多項式幾何的編排程序問題

The proposed model cannot be solved optimally by a common approach such as geometric programming in a reasonable amount of time.

mine>該被提出的典型是不能被以一個常見的方法例如在合理的時間內之幾何編排程序完美地解決

The results show that the proposed GA can become rapidly convergent to near global optimum.

mine>結果顯示提出的GA可能會成為快速趨近至幾乎全球最佳化

Some of typical numerical examples are solved by GA and results are reported.

mine>有些典型的以數字表達的例子被用GA解決了，且結論報告出爐了。

Also, we implement a sensitivity analysis on some of model parameters in order to have a better understanding of the performance and behavior of the proposed GA.

mine>此外我們為了有更好表現及提出的GA的運作，執行了一個針對一些參數很靈敏的分析