A new Monte Carlo algorithm for solving singular linear systems of equations is introduced. In fa... more A new Monte Carlo algorithm for solving singular linear systems of equations is introduced. In fact, we consider the convergence of resolvent operator \(R_{\lambda }\) and we construct an algorithm based on the mapping of the spectral parameter \(\lambda \). The approach is applied to systems with singular matrices. For such matrices we show that fairly high accuracy can be obtained.
Background: One of the most important concepts in cloud computing is modeling the problem as a mu... more Background: One of the most important concepts in cloud computing is modeling the problem as a multi-layer optimization problem which leads to cost savings in designing and operating the networks. Previous researchers have modeled the two-layer network operating problem as an Integer Linear Programming (ILP) problem, and due to the computational complexity of solving it jointly, they suggested a two-stage procedure for solving it by considering one layer at each stage. Aim: In this paper, considering the ILP model and using some properties of it, we propose a heuristic algorithm for solving the model jointly, considering unicast, multicast, and anycast flows simultaneously. Method: We first sort demands in decreasing order and use a greedy method to realize demands in order. Due to the high computational complexity of ILP model, the proposed heuristic algorithm is suitable for networks with a large number of nodes; In this regard, various examples are solved by CPLEX and MATLAB soft...
In a survivable network design problem in cloud computing, one important goal is minimizing the n... more In a survivable network design problem in cloud computing, one important goal is minimizing the network building costs, and the other important goal is maximizing the technical capability of the network. The literature investigation shows that the previous studies for computer network design proposed models only considering one of the above-mentioned goals and neglected the other. In this paper, a new model is developed in which the node survivable network design problem is formulated as a two-objective optimization problem considering both goals. To solve the formulated problem, several twoobjective optimization procedures are adopted and the results are discussed. Finally, numerical simulations are performed for two real examples and the obtained results are discussed.
A new Monte Carlo algorithm for solving singular linear systems of equations is introduced. In fa... more A new Monte Carlo algorithm for solving singular linear systems of equations is introduced. In fact, we consider the convergence of resolvent operator \(R_{\lambda }\) and we construct an algorithm based on the mapping of the spectral parameter \(\lambda \). The approach is applied to systems with singular matrices. For such matrices we show that fairly high accuracy can be obtained.
Background: One of the most important concepts in cloud computing is modeling the problem as a mu... more Background: One of the most important concepts in cloud computing is modeling the problem as a multi-layer optimization problem which leads to cost savings in designing and operating the networks. Previous researchers have modeled the two-layer network operating problem as an Integer Linear Programming (ILP) problem, and due to the computational complexity of solving it jointly, they suggested a two-stage procedure for solving it by considering one layer at each stage. Aim: In this paper, considering the ILP model and using some properties of it, we propose a heuristic algorithm for solving the model jointly, considering unicast, multicast, and anycast flows simultaneously. Method: We first sort demands in decreasing order and use a greedy method to realize demands in order. Due to the high computational complexity of ILP model, the proposed heuristic algorithm is suitable for networks with a large number of nodes; In this regard, various examples are solved by CPLEX and MATLAB soft...
In a survivable network design problem in cloud computing, one important goal is minimizing the n... more In a survivable network design problem in cloud computing, one important goal is minimizing the network building costs, and the other important goal is maximizing the technical capability of the network. The literature investigation shows that the previous studies for computer network design proposed models only considering one of the above-mentioned goals and neglected the other. In this paper, a new model is developed in which the node survivable network design problem is formulated as a two-objective optimization problem considering both goals. To solve the formulated problem, several twoobjective optimization procedures are adopted and the results are discussed. Finally, numerical simulations are performed for two real examples and the obtained results are discussed.
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Papers by Ali Hadian