Fuzzy multi-product constraint newsboy problem
In this paper, we consider the multi-product newsboy problem with fuzzy demands under budget constraint. Since the demands of products are often fuzzy in real life, the profit of the newsboy is fuzzy too. We develop three types of models under different criteria: EVM model, DCP model and CCP model....
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| Published in: | Applied mathematics and computation Vol. 180; no. 1; pp. 7 - 15 |
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| Format: | Journal Article |
| Language: | English |
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01.09.2006
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| Abstract | In this paper, we consider the multi-product newsboy problem with fuzzy demands under budget constraint. Since the demands of products are often fuzzy in real life, the profit of the newsboy is fuzzy too. We develop three types of models under different criteria: EVM model, DCP model and CCP model. In these models, the objective functions are to maximize the expected profit of newsboy, the chance of achieving a target profit and the profit which satisfies some chance constraints with at least some given confidence level, respectively. Furthermore, the hybrid intelligent algorithm based on genetic algorithm and fuzzy simulation is designed for these models. And some illustrating examples are given in order to show the application of these proposed models and algorithm. |
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| AbstractList | In this paper, we consider the multi-product newsboy problem with fuzzy demands under budget constraint. Since the demands of products are often fuzzy in real life, the profit of the newsboy is fuzzy too. We develop three types of models under different criteria: EVM model, DCP model and CCP model. In these models, the objective functions are to maximize the expected profit of newsboy, the chance of achieving a target profit and the profit which satisfies some chance constraints with at least some given confidence level, respectively. Furthermore, the hybrid intelligent algorithm based on genetic algorithm and fuzzy simulation is designed for these models. And some illustrating examples are given in order to show the application of these proposed models and algorithm. |
| Author | Ji, Xiaoyu Shao, Zhen |
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| Keywords | Fuzzy programming Single-period inventory Genetic algorithm Newsboy problem Numerical analysis Applied mathematics Profit Objective function Simulation model |
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| SubjectTerms | Applied sciences Exact sciences and technology Fuzzy programming Genetic algorithm Mathematical programming Mathematics Newsboy problem Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming Numerical methods in mathematical programming, optimization and calculus of variations Operational research and scientific management Operational research. Management science Sciences and techniques of general use Single-period inventory |
| Title | Fuzzy multi-product constraint newsboy problem |
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