Capital Investment Planning Aid (CIPA) is an optimization-based decision support system created for the U. S. Navy to help plan yearly force structure procurement and retirement. CIPA constraints include yearly indust...
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Capital Investment Planning Aid (CIPA) is an optimization-based decision support system created for the U. S. Navy to help plan yearly force structure procurement and retirement. CIPA constraints include yearly industrial and budget limits, as well as mission inventory and force mix requirements. Over a 30-year planning horizon, CIPA helps plan over $1 trillion. Several approaches have been proposed and implemented to solve the CIPA core, a mixed-integerlinear program (MILP). Unfortunately, some of these MILPs cannot be solved in a reasonable amount of time using general-purpose commercially available optimization software. This thesis presents a new MILP-based heuristic technique, fix-and-relax, that yields good quality solutions and reduces the computational solution time for our set of realistic test cases.
作者:
Holthaus, OUniv Passau
Fac Business Adm & Econ Dept Prod Operat & Logist Management D-94032 Passau Germany
This paper considers a real-world cutting problem arising from caravan manufacturing companies. For each caravan large stock sizes have to be cut into smaller sizes required for finishing the front panels of the furni...
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This paper considers a real-world cutting problem arising from caravan manufacturing companies. For each caravan large stock sizes have to be cut into smaller sizes required for finishing the front panels of the furniture. In order to minimize the total cost of the stock material needed for cutting the smaller sizes for all units of all caravan models of a yearly production plan, the best combination of stock sizes to keep in inventory has to be selected and for each caravan model the cutting patterns have to be determined. For simultaneously solving the stock size selection problem and a series of cutting pattern selection problems, a methodology based on an enumeration scheme for the possible combinations of different stock sizes and integer linear programming is presented. For the real-world problem under study, the results of the computational experiments prove the effectiveness of the proposed methodology.
With the increase of cellular users, traffic hot spots and unbalanced call distributions are common in wireless networks. As a solution to this problem, code-division multiple-access techniques enable a base transceiv...
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With the increase of cellular users, traffic hot spots and unbalanced call distributions are common in wireless networks. As a solution to this problem, code-division multiple-access techniques enable a base transceiver station to connect microcells with optical fibers and to control the channels by sectorizing the microcells. To solve the load balancing among microcells, we dynamically sectorize the microcells depending on the time-varying traffic. The microcell sectorization problem is formulated as an integer linear programming that minimizes the blocked and handoff calls in the network. In the proposed sectorization, proper, connected, and compact sectors are considered to keep the handoffs as small as possible while satisfying the channel capacity at each sector. Three genetic algorithms (GAs) are proposed to solve the problem: standard GA, grouping GA, and parallel GA. Computational results show that the proposed GAs are highly effective. All three GAs illustrate outstanding performance for small size problems. The parallel GA, which is based on the operators used in grouping GA, demonstrates excellent solution quality in a reasonable time.
We consider the traffic grooming problem on general topology WDM networks. The problem is: given a set of t connections and their routes, and the grooming factor g, to find an optimal wavelength assignment and groomin...
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We consider the traffic grooming problem on general topology WDM networks. The problem is: given a set of t connections and their routes, and the grooming factor g, to find an optimal wavelength assignment and grooming such that the number of wavelengths required in the network is minimized. We first formulate this problem as an integer linear programming problem, and then propose a heuristics method to solve it. Our simulation results show that an increase of the grooming factor can considerably decrease the number of wavelengths required in the system.
Subexpression sharing is an important implementation issue when one data is multiplied with many constants or a sum of products is computed. By modelling the subexpression sharing problem using integerlinear programm...
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Subexpression sharing is an important implementation issue when one data is multiplied with many constants or a sum of products is computed. By modelling the subexpression sharing problem using integer linear programming (ILP) an optimal solution can be found. Further, the model can be directly incorporated with the design of algorithms that have linear design constraints, e.g., linear-phase FIR filters. The proposed method is compared with previously reported algorithms. It produces better results than other subexpression sharing methods, even though it is still not comparable with the optimal method based on graph representation. However, the possibility to expand the ILP model beyond subexpression sharing is discussed. This would then produce identical results to the optimal adder graph method.
The drastic increase in power consumption by modern processors emphasizes the need for power-performance trade-offs in architecture design space exploration and compiler optimizations. This paper reports a quantitativ...
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The drastic increase in power consumption by modern processors emphasizes the need for power-performance trade-offs in architecture design space exploration and compiler optimizations. This paper reports a quantitative study on the power-performance trade-offs in software pipelined schedules for an Itanium-like EPIC architecture with dual-speed pipelines, in which functional units are partitioned into fast ones and slow ones. We have developed an integer linear programming formulation to capture the power-performance tradeoffs for software pipelined loops. The proposed integer linear programming formulation and its solution method have been implemented and tested on a set of SPEC2000 benchmarks. The results are compared with an Itanium-like architecture (baseline) in which there are four functional units (FUs) and all of them are fast units. Our quantitative study reveals that by introducing a few slow FUs in place of fast FUs in the baseline architecture, the total energy consumed by FUs can be considerably reduced. When 2 out of 4 FUs are set as slow, the total energy consumed by FUs is reduced by up to 31.1% (with an average reduction of 25.2%) compared with the baseline configuration, while the performance degradation caused by using slow FUs is small. If performance demand is less critical, then energy reduction of up to 40.3% compared with the baseline configuration can be achieved.
This paper presents a comprehensive approach for optimal allocation of FACTS devices against voltage collapse. The objective is to install a minimum number and sizes of FACTS so that the preventive and corrective cont...
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This paper presents a comprehensive approach for optimal allocation of FACTS devices against voltage collapse. The objective is to install a minimum number and sizes of FACTS so that the preventive and corrective control are made possible based on the available VAR sources and new FACTS devices for a set of contingencies. The corrective control is to stabilize the system for the contingencies that drive the system to unstable zone, where the fast devices are merely used for these situations. The preventive control is assumed based on the slow and fast devices for the cases with an inadequate security margin. The problem is formulated as mixed integer nonlinearprogramming problem, where a hybrid method based on genetic algorithm/successive linearprogramming (GA/SLP) is used to find the optimal solution.
Optical wavelength division multiplexing (WDM) rings are being deployed to support SONET/SDH self-healing rings. The cost of such a system is dominated by the SONET add/drop multiplexers (ADM). To minimize the system ...
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ISBN:
(纸本)0780374002
Optical wavelength division multiplexing (WDM) rings are being deployed to support SONET/SDH self-healing rings. The cost of such a system is dominated by the SONET add/drop multiplexers (ADM). To minimize the system cost, algorithms must be developed to assign wavelengths to lightpaths in the system so that the number of ADM required is minimized. This problem of optimal wavelength assignment to minimize the number of SONET ADM is NP-hard. In this paper, we develop an integer linear programming (ILP) formation for this problem, propose a new wavelength assignment heuristic, and evaluate the existing and the newly proposed heuristic using the ILP formation. We conclude that the performance of the newly proposed heuristic is very close to optimal.
We develop traffic grooming algorithms for WDM networks with multi-layer switches. We consider a node as an N-layer switch, in which a given layer k is an aggregated set of elements of layer k-1. Typical examples of l...
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ISBN:
(纸本)0780374002
We develop traffic grooming algorithms for WDM networks with multi-layer switches. We consider a node as an N-layer switch, in which a given layer k is an aggregated set of elements of layer k-1. Typical examples of layers are wavelengths, bands and fibers. The cost of a given node depends on the number of input and output ports of each layer. Assuming this model and a traffic matrix - with unity elements in layer 0 - minimizing the cost of the network consists of grooming traffic in such a way that as much traffic as possible is switched in the highest possible layer (fibers in our example). When some traffic is switched along a path in the network within the same layer, we represent it with a pipe. Each pipe has an associated linear cost depending on the current layer and on the number of nodes crossed in that pipe. In the case of a two layers model the problem was considered in Gerstel et al. (2000) for rings or in Cinker et al. (2000) for general topologies. We present an integer linear programming formulation for this model that aims to minimize the overall cost of the network for a given input traffic matrix. We ran experiments using the CPLEX optimization package on various topologies such as actual networks like the Pan-European all optical network (Batchelor et al. (1999)) as well as rings and meshes of various sizes.
Designing simple and efficient network protection mechanism is an important requirement of optical networks, which is a challenging task for large mesh networks. We extend our previous work on Hamiltonian cycle protec...
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Designing simple and efficient network protection mechanism is an important requirement of optical networks, which is a challenging task for large mesh networks. We extend our previous work on Hamiltonian cycle protection to large-scale multiple domain inhomogeneous optical networks. We proposed two protection schemes with different trade-off between spare resource usage and failure isolation. Our proposed schemes are simple and competitive in network resource usage.
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