In this paper, we consider a pruned Galton–Watson tree conditioned to have k particles in generation n, i.e. take satisfying $$Z_n=k$$ , and delete all branches that die before n. We show with fixed $$n\rightarrow \infty $$ the first n generations of can be described by an explicit probability measure $${\mathbf {P}}^{st}_k$$ . As application, study branching random walk $$(V_u)_{u\in T}$$ inde...

This paper presents an extension of the multimode resource-constrained project scheduling problem for a large scale construction project where multiple parallel projects and a fuzzy random environment are considered. By taking into account the most typical goals in project management, a cost/weighted makespan/quality trade-off optimization model is constructed. To deal with the uncertainties, a...

The cutoff wave number for shear waves in a liquid-state strongly coupled plasma was measured experimentally. The phonon spectra of random particle motion were measured at various temperatures in a monolayer dusty plasma, where microspheres interact with a Yukawa potential. In the liquid state of this particle suspension, shear waves were detected only for wavelengths smaller than 20 to 40 Wign...

the markowitz’s optimization problem is considered as a standard quadratic programming problem that has exact mathematical solutions. considering real world limits and conditions, the portfolio optimization problem is a mixed quadratic and integer programming problem for which efficient algorithms do not exist. therefore, the use of meta-heuristic methods such as neural networks and evolutionar...

We present an adoption of the bucket sort algorithm capable of running entirely on GPU architecture. Our implementation employs render-to-texture to enable scatter operation. Linked lists of elements in each bucket are build and stored directly in video memory. We show also the use of this sorting method in a particle-based simulation. Dissipative Particle Dynamics is the physical model of choi...