This paper develops a decentralized leader-follower game for network design of a competitive supply chain problem in which a new chain as the leader enters a market with one existing supply chain as a follower. Both chains produce an identical product, customer demand is inelastic and customer utility function is based on Huff gravity-based model. The leader wants to shape his network and set a...

In this paper we suggest an approach for solving a multiobjective stochastic linear programming problem with normal multivariate distributions. Our is combination between method and nonconvex technique. The first transformed into deterministic introducing the expected value criterion utility function that represents decision makers preferences. obtained reduced to mono-objective quadratic using...

Abstract Forests produce several types of benefits to both forest landowners and society. The social benefit private forestry is equal plus positive externalities minus negative externalities. This study developed alternative metrics for the evaluation management. Forest management was assessed in terms five criteria: economic, socio-cultural, environmental ecological performance resilience eco...

An overview of the use of the discrete Sugeno integral as either an aggregation tool or a utility function is presented in the qualitative framework of two decision paradigms: multi-criteria decision-making and decision-making under uncertainty. The parallelism between the representation theorems in both settings is stressed, even if a basic requirement like idempotency should be explicitely st...

Due to the importance of supplier selection issue in supply chain management (SCM) and ,also,  the increasing tendency of organizations to their social responsibilities, In this paper, we survey the supplier selection issue as a multi objective problem while considering the factor of corporate social responsibility (CSR) as a mathematical parameter. The purpose of this paper is to design a mode...

In this article we use a criterion for the integrability of paths of onedimensional diffusion processes from which we derive new insights on allelic fixation in several situations. This well known criterion involves a simple necessary and sufficient condition based on scale function and speed measure. We provide a new simple proof for this result and also obtain explicit bounds for the moments ...

The nonlinear Black-Scholes equation has been increasingly attracting interest over the last two decades, because it provides more accurate values by considering transaction costs as a viable assumption. In this paper we review the fully nonlinear Black-Scholes equation with an adjusted volatility which is a function of the second derivative of the price and then we prove two new theorems in th...

To sense the spectrum efficiently in heterogeneous multi-channel and multi-user cognitive network, a parallel cooperative spectrum sensing strategy based on genetic algorithm is proposed. It defines the expression of system utility considering the transmission gain and sensing overhead, and protects the primary user network by introducing the penalty function. To obtain the largest system utili...