Search results for "Discrete optimization problem"

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Discrete-mathematical approach to formal description of measurement procedure

1996

The discrete-mathematical model of measurement procedure is developed for facilitating the description of measurements in both quantitative and qualitative scales. On the basis of this model the Measurement Problem is formulated. It is shown that the problem can be considered, in the general case, as one of the discrete optimization problems. The suggested approach brings closer the concepts of a computing algorithm and measurement procedure so that it permits the application of similar tools for the analysis and development of both of them.

DiscretizationBasis (linear algebra)Applied MathematicsMeasurement problemCondensed Matter PhysicsMeasurement theoryDevelopment (topology)Discrete optimization problemCalculusSearch problemElectrical and Electronic EngineeringInstrumentationAlgorithmFormal descriptionMathematicsMeasurement
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A Binary Particle Swarm Optimization Algorithm for a Double Auction Market

2007

In this paper, we shall show the design of a multi-unit double auction (MDA) market. It should be enough robust, flexible and sufficiently efficient in facilitating exchanges. In a MDA market, sellers and buyers submit respectively asks and bids. A trade is made if a buyers bid exceeds a sellers ask. A sellers ask may match several buyers bids and a buyers bid may satisfy several sellers asks. The trading rule of a market defines the organization, information exchange process, trading procedure and clearance rules of the market. The mechanism is announced before the opening of the market so that every agent knows how the market will operate in advance. These autonomous agents pursue their o…

MicroeconomicsReservation priceMarket mechanismFinancial economicsAsk priceDouble auctionBusinessautonomous agents Particle swarm optimization MDA market discrete optimization problemsdiscriminatory bids and asks.Auction algorithmGame theoryMarket gameMarket maker
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