Bensolve is an open source implementation of Benson’s algorithm and its dual variant. Both algorithms compute primal and dual solutions of vector linear programs (VLP), which include the subclass of multiple objective linear programs (MOLP). The recent version of Bensolve can treat arbitrary vector linear programs whose upper image does not contain lines. This article surveys the theoretical ba...

Mobile device cloud (MDC) is a collaborative computing platform over which neighboring smart devices form an alliance of shared resources to mitigate resource-scarcity individual user for running compute-intensive applications. A major challenge such maximizing quality-of-experience (QoE) at minimum cost while providing attractive incentives workers' mobile devices. In state-of-the-art works, e...

Multiple attribute decision making (MADM) addresses the problem of choosing an optimum choice containing the highest degree of satisfaction from a set of alternatives which are characterized in terms of their attributes. In order to make a decision or choose a best alternative, a decision maker (DM) is often asked to provide his/her preferences either on alternatives or on the relative weights ...

in this research, both resource allocation and reactive resource allocation problems in multi-server dynamic pert networks are analytically modeled, where new projects are expected to arrive according to a poisson process, and activity durations are also known as independent random variables with exponential distributions. such system is represented as a queuing network, where multi servers at ...

As can be seen from the definition of extended operations on fuzzy numbers, subtraction and division of fuzzy numbers are not the inverse operations to addition and multiplication . Hence, to solve the fuzzy equations or a fuzzy system of linear equations analytically, we must use methods without using inverse operators. In this paper, a novel method to find the solutions in which 0 is not the ...

It is proposed to use two points of support when estimating the nadir vector components in Multiobjective Linear Programming (MOLP) problems: to consider the frontier of the feasible set S and to use the reference point method. The proposed approach gives upper bounds of the estimated values.