We obtain the viscosity solution of G-heat equation with the initial condition φ(x) = x for each integer n ≥ 1 using the method of G-Brownian motion.

data envelopment analysis (dea) is one of the scientific method that computes the efficiency by using a powerful mathematics basic. data envelopment analysis is a non-parametric technique to evaluate the efficiency of a set of decision making units (dmu) with multi inputs and outputs . since dea’s models classifies decision making units into two categories of efficient and inefficient, so most ...

The aim of this contribution is to characterize the set feasible initial conditions on a diagonal line in order compute solutions 2D discrete state-space system (defined over Z2) half-plane grid. This characterization given terms matrices for state updating.

the scheduling problems are the non-polynomial problems-hard (np-hard), is to solve it, and meta-heuristic innovative method compared with the exact method require less time and memory.in this research, developed imperialistic competitive algorithm used to solving the single-mode resource-constrained project scheduling problem.also the basic feasible solution algorithm used in order to increase...

in this paper,  a heuristic algorithm is proposed in order to solve a nonlinear lexicography goal programming (nlgp) by using an efficient initial point. some numerical experiments showed that the search quality by the proposed heuristic in a multiple objectives problem depends on the initial point features, so in the proposed approach the initial point is retrieved by data envelopment analysis...

in this paper we investigate multi-objective integer linear programming (moilp) problems with unbounded feasible region and introduce recession direction for moilp problems. then we present necessary and sufficient conditions to have unbounded feasible region and infinite optimal values for objective functions of moilp problems. finally we present some examples with unbounded feasible region and fi...

Industries must prepare to move their goods from production centers end-users while keeping transportation costs as low possible maximize revenues. The issue is a procedure that evaluates and minimizes the expenses associated with transportation. It well-debated topic in practical research because of its broad range applications various sectors such scheduling, human resource management, produc...