In probability theory, a product-form solution is a particularly efficient form of solution for determining some metric of a system with distinct sub-components...

{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}} is a closed form of the solutions to the general quadratic equation a x 2 + b x + c = 0. {\displaystyle...

them to other queues A product-form solution superficially similar in form to Jackson's theorem, but which requires the solution of a system of non-linear...

distribution is particularly simple to compute as the network has a product-form solution. It was the first significant development in the theory of networks...

data (in the form of monitoring, logging, tracing, error reporting, and alerting) to public cloud users. Stackdriver was a multi-cloud solution, providing...

significant results in this area were Jackson networks, for which an efficient product-form stationary distribution exists and the mean value analysis (which allows...

customer. Product (project management), a deliverable or set of deliverables that contribute to a business solution Product (mathematics) Direct product Cartesian...

During the 1980s it was thought local balance was a requirement for a product-form equilibrium distribution, but Gelenbe's G-network model showed this not...

literals; otherwise put, it is a product of sums or an AND of ORs. In automated theorem proving, the notion "clausal normal form" is often used in a narrower...

or 59.9 °F) being the typical high-concentration commercial product. In aqueous solution, ammonia deprotonates a small fraction of the water to give ammonium...

continually added. Highest response ratio next is similar but provides a solution to this problem using a technique called aging. Another disadvantage of...

always has a product form stationary distribution. Quasireversibility had been conjectured to be a necessary condition for a product form solution in a queueing...

Models of Feedforward Queueing Networks: Quasireversibility and Product Form Solutions". The Annals of Applied Probability. 2 (2): 263. doi:10.1214/aoap/1177005704...

Piranha solution (H4SO6), also known as piranha etch, is a mixture of sulfuric acid (H2SO4) and hydrogen peroxide (H2O2). The resulting mixture is used...

"Random Neural Networks with Negative and Positive Signals and Product Form Solution". Neural Computation. 1 (4): 502–510. doi:10.1162/neco.1989.1.4...

matrix similarity. The row echelon form is a canonical form, when one considers as equivalent a matrix and its left product by an invertible matrix. In computer...

[A] and [B] are the concentrations of A and B in a saturated solution. A solubility product has a similar functionality to an equilibrium constant though...

amphiphiles. In a micellar solution, some amphiphiles are clumped together and some are dispersed. Micellar solutions form when the concentration of amphiphile...

Dosage forms (also called unit doses) are pharmaceutical drug products presented in a specific form for use. They contain a mixture of active ingredients...

In industry, product lifecycle management (PLM) is the process of managing the entire lifecycle of a product from its inception through the engineering...

acid. Acids form aqueous solutions with a sour taste, can turn blue litmus red, and react with bases and certain metals (like calcium) to form salts. The...

solution to the requirements.[citation needed] PRDs are most frequently written for software products, but they can be used for any type of product and...

via uniformization techniques. Pinotsi and Zazanis show that a product form solution exists when arrivals are deterministic as the queue lengths are...

2013[update] were developed and sold as Oracle Hyperion products. Hyperion Solutions was formed from the merger of Hyperion Software (formerly IMRS) and...

the other player). The product of the two excess utilities is generally referred to as the Nash product. Intuitively, the solution consists of each player...

bleaching agent. In solution, the compound is unstable and easily decomposes, liberating chlorine, which is the active principle of such products. Sodium hypochlorite...

"Random Neural Networks with Negative and Positive Signals and Product form Solution". Neural Computation, Vol. 1, No. 4, pp. 502-510, 1989, MIT Press...

chemoselectively in aqueous solution. A first kinetically controlled product rearranges to form the amide bond. The most common form of native chemical ligation...

via the internet. If the solution matches expectations, and verification confirms that the product key is genuine, the product is activated. Using hashing...

end of that of solutions used for brining foods) up to about 26% (a typical saturated solution, depending on temperature). Brine forms naturally due to...