Three-objective fuzzy chance-constrained programming model for multiproject and multi-item investment combination

The Pareto-Frontier Solution to the MultiProject & Multiple Item Stochastic Chance-Constrained Investment Combination

“…Now we solve the developed model to get its Pareto-optimal solutions with modified PSO, which is implemented by using C++, some parameters is the same as [1].In order to get the final global non-dominated solution set, 20 successful runs are required and the average time of each run is 27.33 minutes. 119 initial non-dominated solutions have been gotten in the 20 experimental runs, and 14 global non-dominated solutions can be selected from their corresponding solution set.…”

“…Unlike our recent study in [1] with fuzzy coefficients, all coefficients in this proposed model are assumed to be continuous stochastic numbers with the same other assumption, which will be simply narrated as follows. Suppose that there are N projects with Firstly, we analyze the output and input of cash flow at the end of each year in the process of the items, the minimal demanded cash at the beginning of each item can be described by On the other hand, the net cash flow produced at the end of each year among the process the items shown in Figure.1 can be described as Figure.2.…”

“…Just discussion in [1], the main condition is mapping a relationship between the demanded cash and supplied cash, the former couldn't be more than the latter. The supplied monetary resource at the beginning of any items is composed of the monetary resource raised by the item itself and the remained monetary resource of the previous items.…”

“…The PSO approach which can only be operated in continuous space were proposed by Kennedy and Eberhart [2,3] who gave the discrete binary version in 1997.Unfortunately,they had not discussed how to handle condition constraints. B.XU and WG.FANG.et al [1 ] had discussed this problem and given a detailed illustration with a modification of PSO with absorbing the idea of NSGA-II [4] .The modified main key factors include fast non-dominated sorting approach, diversity preservation and constraint handling.…”

Bi-objective fuzzy optimization model for multiproject and multi-item investment based on the perspective of real options

“…Our latest paper [1] has proposed a multiproject and multi-item investment combination optimization model which can be applied to solve some optimization problems such as marketing research, portfolio capital, global budget management etc. Unfortunately, though the fuzzy approach was employed to simulate the optimization problem, any project was only evaluated by classical NPV approach.However, the essence of fuzzy event means that any project must be evaluated from the perspective of real options.…”