Abstract A nonzero set problem with Aumann set-valued random Lebesgue integral is discussed. This paper proves that the integral’s representation theorem. Finally, an important inequality proved and other properties of are

This paper presents a multi-objective simulated annealing algorithm for the mixed-model assembly line balancing with stochastic processing times. Since, the stochastic task times may have effects on the bottlenecks of a system, maximizing the weighted line efficiency (equivalent to the minimizing the number of station), minimizing the weighted smoothness index and maximizing the system reliabil...

You are a contestant on a game show. There are three closed doors leading to three rooms. Two of the rooms contain nothing, but the third contains a luxury automobile which is yours if you pick the right door. You are asked to pick a door by the MC who knows which room contains the car. After you pick a door, the MC opens a door (not the one you picked) to show an empty room. Show that, even wi...

Supplying of blood and blood products is one of the most challenging issues in the healthcare system since blood is as extremely perishable and vital good and donation of blood is a voluntary work. In this paper, we propose a two-stage stochastic selective-covering-inventory-routing (SCIR) model to supply whole blood under uncertainty. Here, set of discrete scenarios are used to display uncerta...

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...