Loading...

Optimizing constrained single period problem under random fuzzy demand

Taleizadeh, A. A ; Sharif University of Technology | 2008

291 Viewed
  1. Type of Document: Article
  2. DOI: 10.1063/1.2990956
  3. Publisher: 2008
  4. Abstract:
  5. In this paper, we consider the multi-product multi-constraint newsboy problem with random fuzzy demands and total discount. The demand of the products is often stochastic in the real word but the estimation of the parameters of distribution function may be done by fuzzy manner. So an appropriate option to modeling the demand of products is using the random fuzzy variable. The objective function of proposed model is to maximize the expected profit of newsboy. We consider the constraints such as warehouse space and restriction on quantity order for products, and restriction on budget. We also consider the batch size for products order. Finally we introduce a random fuzzy multi-product multi-constraint newsboy problem (RFM-PM-CNP) and it is changed to a multi-objective mixed integer nonlinear programming model. Furthermore, a hybrid intelligent algorithm based on genetic algorithm, Pareto and TOPSIS is presented for the developed model. Finally an illustrative example is presented to show the performance of the developed model and algorithm. © 2008 American Institute of Physics
  6. Keywords:
  7. Newsboy Problem ; Random Fuzzy Demand ; Multi Objectives Mixed Integer linear Programming ; Pareto ; Genetic Algorithms ; TOPSIS
  8. Source: International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008, Psalidi, Kos, 16 September 2008 through 20 September 2008 ; Volume 1048 , 2008 , Pages 43-46 ; 0094243X (ISSN) ; 9780735405769 (ISBN)
  9. URL: https://aip.scitation.org/doi/abs/10.1063/1.2990956