Functional decomposition is a process of splitting a complex circuit into smaller sub-circuits. This paper deals with the problem of determining the set of best free and bound variables (variable partitioning problem) for disjoint (disjoint serial) decomposition, such that the decomposed circuits are smaller in size and its truth table representation have maximal don’t cares. A novel pruned bre...

<p style='text-indent:20px;'>In this paper, we study the problem of finding a common element set solutions system monotone inclusion problems and fixed points finite family generalized demimetric mappings in Hilbert spaces. We propose new efficient algorithm for solving problem. Our method relies on inertial algorithm, Tseng's splitting viscosity algorithm. Strong convergence analysis pro...

We study a two-level uncapacitated lot-sizing problem with inventory bounds that occurs in a supply chain composed of a supplier and a retailer. The first level with the demands is the retailer level and the second one is the supplier level. The aim is to minimize the cost of the supply chain so as to satisfy the demands when the quantity of item that can be held in inventory at each period is ...

Splitting extrapolation is an efficient technique for solving large scale scientific and engineering problems in parallel. This article discusses a finite element splitting extrapolation for second order hyperbolic equations with time-dependent coefficients. This method possesses a higher degree of parallelism, less computational complexity, and more flexibility than Richardson extrapolation wh...

The secrecy rate region of wiretap interference channels under receiver energy harvesting constraint is studied. The legitimate users are equipped with single transmit/receive antennas, while the passive eavesdropper has multiple antennas. To stay operational in the network, the legitimate receivers demand energy alongside information, which is fulfilled by power transmission and exploiting a p...

We describe a new hierarchical 2D-guillotine Cutting Stock Problem. In contrast to the classic cutting stock problem, waste is not an issue. The problem relates to the removal of a defective part and assembly of the remaining parts into homogeneous size blocks. The context is the packing stages of cake manufacturing. The company’s primary objective is to minimise total processing time at the su...

data envelopment analysis (dea) is a method to evaluate the relative efficiency of decision making units (dmus). in this method, the issue has always been to determine a set of weights for each dmu which often caused many problems. since the dea models also have the multi-objective linear programming (molp) problems nature, a rational relationship can be established between molp and dea problem...