in traditional portfolio selection model coefficients often are certain and deterministic, but in real world these coefficients are probabilistic. so decision maker cannot estimate them exactly. financial optimization is one of the most attractive areas in decision under uncertainty. in the portfolio selection problem the decision maker considers simultaneously conflicting objectives such as ra...

The portfolio is a perfect combination of stock or assets, which an investor buys them. The objective of the portfolio is to divide the investment risk among several shares. Using non-parametric DEA and DEA-R methods can be of great significance in estimating portfolio. In the present paper, the efficient portfolio is estimated by using non-radial DEA and DEA-R models. By proposing non-radial m...

In the portfolio selection problem, the manager considers several objectives simultaneously such as the rate of return, the liquidity and the risk of portfolios. These objectives are conflicting and incommensurable. Moreover, the objectives can be imprecise. Generally, the portfolio manager seeks the best combination of the stocks that meets his investment objectives. The imprecise Goal Program...

The theoretical literature on managing R&D pipeline is largely based on real option theory making decisions about undertaking, continuing, or terminating projects. The theory typically assumes that each project or causally related set of projects is independent. Yet, casual observation suggests that firms expend much effort on “managing” and “balancing” its R&D pipeline, where managing appears ...

In this tutorial paper we introduce different approaches to Markowitz portfolio optimization, and we show how to solve such problems in MATLAB, R and Python using the MOSEK optimization toolbox for MATLAB, the Rmosek package, and the MOSEK Python API, respectively. We first consider conic formulations of the basic portfolio selection problem, and we then discuss more advanced models for transac...

Selection of a project portfolio with limited resources is an important decision in both public and industrial organizations. Often these decisions are complicated by a high number of project proposals, considerations of multiple criteria and resources, project interactions, uncertain project outcomes and incomplete information about decision maker's (DM's) preferences. Moreover, opportunity co...

The paper offers a straightforward method for estimating R&D portfolios that maximize shareholders’ utility. R&D portfolios are generally associated with high returns and high risks. As such, an impressive body of literature has highlighted the risks linked with R&D portfolio allocations. Nevertheless, the role of financing strategies in portfolio allocation has been neglected, and this provide...

We consider a project selection problem where each project has an uncertain return with partially characterized probability distribution. The decision maker selects a feasible subset of projects so that the risk of the portfolio return not meeting a specified target is minimized. To model and evaluate this risk, we propose and justify a general performance measure, the Underperformance Riskines...