network environments always can be invaded by intruder agents. in networks where nodes are performing some computations, intruder agents might contaminate some nodes. therefore, problem of decontaminating a network infected by intruder agents is one of the major problems in these networks. in this paper, we present a distributed asynchronous local algorithm for decontaminating a network. in mos...

In this paper we consider a two dimensional strip packing problem. The problem consists of packing a set of rectangular items in one strip of width W and infinite height. They must be packed without overlapping, parallel to the edge of the strip and we assume that the items are oriented, i.e. they cannot be rotated. To solve this problem, we use three exact methods: a branch and bound method, a...

Network environments always can be invaded by intruder agents. In networks where nodes are performing some computations, intruder agents might contaminate some nodes. Therefore, problem of decontaminating a network infected by intruder agents is one of the major problems in these networks. In this paper, we present a distributed asynchronous local algorithm for decontaminating a network. In mos...

Recombination plays an important role in creating genetic diversity within species, and inferring past recombination events is central to many problems in genetics. Given a set M of sampled sequences, finding an evolutionary history for M with the minimum number of recombination events is a computationally very challenging problem. In this paper, we present a novel branch and bound algorithm fo...

In this paper, we deal to obtain some new complexity results for solving semidefinite optimization (SDO) problem by interior-point methods (IPMs). We define a new proximity function for the SDO by a new kernel function. Furthermore we formulate an algorithm for a primal dual interior-point method (IPM) for the SDO by using the proximity function and give its complexity analysis, and then we sho...

This paper presents an image space branch-reduction-bound algorithm for solving a class of multiplicative problems (MP). First all, by introducing auxiliary variables and taking the logarithm objective function, equivalent problem (EP) (MP) is obtained. Next, using new linear relaxation technique, parametric programming (PLRP) equivalence can be established acquiring lower bound optimal value t...

Summation of functions of N source points evaluated at M target points occurs commonly in many applications. To scale these approaches for large datasets, many fast algorithms have been proposed. In this technical report, we propose a Chernoff bound based efficient approach to test the performance of a fast summation algorithms providing a probabilistic accuracy. We further validate and use our...