Mobile edge computing (MEC) providing information technology and cloud-computing capabilities within the radio access network is an emerging technique in fifth-generation networks. MEC can extend the computational cap...
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Mobile edge computing (MEC) providing information technology and cloud-computing capabilities within the radio access network is an emerging technique in fifth-generation networks. MEC can extend the computational capacity of smart mobile devices (SMDs) and economize SMDs' energy consumption by migrating the computation-intensive task to the MEC server. In this paper, we consider a multi-mobile-users MEC system, where multiple SMDs ask for computation offloading to a MEC server. In order to minimize the energy consumption on SMDs, we jointly optimize the offloading selection, radio resource allocation, and computational resource allocation coordinately. We formulate the energy consumption minimization problem as a mixed interger nonlinear programming (MINLP) problem, which is subject to specific application latency constraints. In order to solve the problem, we propose a reformulation linearization-technique-based branch-and-bound (RLTBB) method, which can obtain the optimal result or a suboptimal result by setting the solving accuracy. Considering the complexity of RTLBB cannot be guaranteed, we further design a Gini coefficient-based greedy heuristic (GCGH) to solve the MINLP problem in polynomial complexity by degrading the MINLP problem into the convex problem. Many simulation results demonstrate the energy saving enhancements of RLTBB and GCGH.
We have implemented Harche and Thompson's column subtraction algorithm for the set partitioning problem on a CM-200 Connection Machine. The implementation involved partitioning the large array of processors in the...
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We have implemented Harche and Thompson's column subtraction algorithm for the set partitioning problem on a CM-200 Connection Machine. The implementation involved partitioning the large array of processors in the CM-2 into segments and letting each segment explore a different part of the search tree generated by the column subtraction algorithm. Our reported computational results indicate that the segments are highly utilized and that good speedups are obtained as the number of segments is increased.
The paper presents a new rectangle branch-and-reduce approach for solving nonconvex quadratic programming problems, in which a new lower approximate linear functions of the quadratic function over an n-rectangle is gi...
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The paper presents a new rectangle branch-and-reduce approach for solving nonconvex quadratic programming problems, in which a new lower approximate linear functions of the quadratic function over an n-rectangle is given to determine a lower bound of the global optimal value of the original problem over each rectangle, and a simple two-partition technique on rectangle is used, as well as the tactics on reducing and deleting subrectangles is used to accelerate the convergence of the proposed algorithm. The proposed algorithm is proved to be convergent and shown to be effective with numerical results. (c) 2004 Elsevier Inc. All rights reserved.
In this paper a new two-level linear relaxed boundmethod is proposed for solving the global solution of geometric programming problems, and its convergent properties is proved, and a numerical example is used to illu...
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In this paper a new two-level linear relaxed boundmethod is proposed for solving the global solution of geometric programming problems, and its convergent properties is proved, and a numerical example is used to illustrate the effectiveness of the presented algorithm. The bound technique in this algorithm is different from the other ones. The two-level relaxed linear programming problems of geometric programming problems are given without additional new variables and constraints by making use of the linear approximation of power functions and the new formulas for product to be unequal with sum. (c) 2004 Elsevier Inc. All rights reserved.
This paper considers a network topological optimization problem with a reliability constraint. Jan et al. have proposed an algorithm to End the optimal selection of edges in networks, with minimum cost, under all-term...
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This paper considers a network topological optimization problem with a reliability constraint. Jan et al. have proposed an algorithm to End the optimal selection of edges in networks, with minimum cost, under all-terminal reliability is not less than a given level. We extend their algorithm in order to apply to network design problems where operative probabilities of edges are different. Moreover, we accomplish several improvements to speed up the algorithm and show the effectiveness of our algorithm by numerical experiments. (C) 2001 Published by Elsevier Science B.V.
An optimization problem with a linear objective function subject to a system of fuzzy relation equations using max-product composition is considered. Since the feasible domain is non-convex, traditional linear program...
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An optimization problem with a linear objective function subject to a system of fuzzy relation equations using max-product composition is considered. Since the feasible domain is non-convex, traditional linear programming methods cannot be applied. We study this problem and capture some special characteristics of its feasible domain and the optimal solutions. Some procedures for reducing the original problem are presented. The problem is transformed into a 0-1 integer program which is then solved by the branch-and-bound method. For illustration purpose, an example of the procedures is provided. (C) 2001 Elsevier Science B.V. All rights reserved.
An optimization model with a linear objective function subject to a system of fuzzy relation equations is presented. Due to the non-convexity of its feasible domain defined by fuzzy relation equations, designing an ef...
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An optimization model with a linear objective function subject to a system of fuzzy relation equations is presented. Due to the non-convexity of its feasible domain defined by fuzzy relation equations, designing an efficient solution procedure for solving such problems is not a trivial job. In this paper, we first characterize the feasible domain and then convert the problem to an equivalent problem involving 0-1 integer programming with a branch-and-bound solution technique. After presenting our solution procedure, a concrete example is included for illustration purpose. (C) 1999 Elsevier Science B.V. All rights reserved.
The branch-and-bound method used to select the optimal production program is considered, based on the calculation of the upper, lower, and current upper estimates when analyzing various variants for production program...
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The branch-and-bound method used to select the optimal production program is considered, based on the calculation of the upper, lower, and current upper estimates when analyzing various variants for production programs. An upper bound for the number of feasible solutions to the problem under consideration is given. Models for choosing the optimal production program in conditions of production expansion are considered, as well as issues of analyzing the stability of these programs when changing the initial data of the model and when changing the criterion for the optimality of the model. The use of models for selecting the optimal production program within the framework of project management at enterprises will ensure increased efficiency of activities, including at the stages of planning and implementation of projects, as well as classification and selection of a method for implementing projects.
The time performance of a systolic array implementation of an algorithm is measured by the product of two quantities: the number of systolic cycles required to complete the computations, n(sys), and the cycle time, t(...
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The time performance of a systolic array implementation of an algorithm is measured by the product of two quantities: the number of systolic cycles required to complete the computations, n(sys), and the cycle time, t(sys). Yet earlier works on systolic array synthesis have exclusively sought schedules that minimize n(sys), an approach justified only when the processors have a single functional unit. This paper deals with the general case of processors with multiple, possibly pipelined, functional units that operate concurrently and presents a method for the minimization of the actual computation time n(sys) x t(sys). The selection of a linear scheduling function which minimizes n(sys) x t(sys) is formulated as a combinatorial optimization problem, which is shown to have a bounded search space. An efficient branch-and-bound method for the solution of that problem is proposed and applied to several examples.
In this paper, we present an exact method for cost minimization problems in series reliability systems with multiple component choices. The problem can be modelled as a nonlinear integer programming problem with a non...
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In this paper, we present an exact method for cost minimization problems in series reliability systems with multiple component choices. The problem can be modelled as a nonlinear integer programming problem with a nonseparable constraint function. The method is of a combined Lagrangian relaxation and linearization method. A Lagrangian bound is obtained by solving the dual of a separable subproblem. An alternative lower bound is derived by 0-1 linearization method. A special cut-and-partition scheme is proposed to reduce the duality gap, thus ensuring the convergence of the method. Computational results are reported to show the efficiency of the method. (c) 2006 Elsevier Inc. All rights reserved.
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