in this paper, we study the existence of generalized solutions for the infinite dimensional nonlinear stochastic differential inclusions $dx(t) in f(t,x(t))dt +g(t,x(t))dw_t$ in which the multifunction $f$ is semimonotone and hemicontinuous and the operator-valued multifunction $g$ satisfies a lipschitz condition. we define the it^{o} stochastic integral of operator set-valued stochastic pr...

In the real-time strategy game Pluckmin 3, Captain Ottomar needs to move his troop of Pluckmin through hazardous terrain full of obstacles and predators. He has determined that when Pluckmin are traveling through predator-infested areas, there is a maximum number of Pluckmin that can safely travel along each edge without getting eaten. In addition to predators, some “lock” nodes have obstacles ...

numerous problems encountered in real life cannot be actually formulated as a single objective problem; hence the requirement of multi-objective optimization (moo) had arisen several years ago. due to the complexities in such type of problems powerful heuristic techniques were needed, which has been strongly satisfied by swarm intelligence (si) techniques. particle swarm optimization (pso) has ...

efficient and on-time maintenance plays a crucial role inreducing cost and increasing the market share of an industrial unit. preventivemaintenance is a broad term that encompasses a set of activitiesaimed at improving the overall reliability and availability of a systembefore machinery breakdown. the previous studies have addressed thescheduling of preventive maintenance. these studies have co...

In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monot...

The relay station simply rebroadcasts the signal it receives from the source, at exactly the instant that it receives it. The relay station therefore has no effect on the signal received by the observer, but it serves as a crutch for our thinking— it allows us to divide the problem into two parts, each already solved. Let ∆t denote the time interval between wave crests, with subscripts to indic...

If we insert a set of n items into a binary search tree using TREE-INSERT, the resulting tree may be horribly unbalanced. As we saw in class, however, we expect randomly built binary search trees to be balanced. (Precisely, a randomly built binary search tree has expected height O(lg n).) Therefore, if we want to build an expected balanced tree for a fixed set of items, we could randomly permut...

(b) Usually (in practice), the k used for signing is not generated completely at random, but by using a pseudorandom generator. Again, in practice, people use a simple “pseudorandom” generator such as the linear congruential generator. A linear congruential generator LCG, on input a seed s0 outputs a sequence (s1, s2, . . . , sn) such that si = asi−1 + b(mod q). (where a and b are assumed to be...