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It is widely used in mathematics and, to a lesser extent, in business, economics, and some engineering problems. There is a close connection between linear programs, eigenequations, John von Neumann's general equilibrium model, and structural equilibrium models (see dual linear program for details).
Relative Purchasing Power Parity is an economic theory which predicts a relationship between the inflation rates of two countries over a specified period and the movement in the exchange rate between their two currencies over the same period.
where the economic meanings of and are the equilibrium prices of various goods and the equilibrium activity levels of various economic agents, respectively. The von Neumann's equilibrium model can be further extended to the following structural equilibrium model with A {\displaystyle \mathbf {A} } and B {\displaystyle \mathbf {B} } as matrix ...
If f is the objective function for the implicitly defined LP-type problem to be solved, then define a function g that maps collections of subsets S i to the value of f on the union of the collection. Then the collection of subsets S i and the objective function g itself defines an LP-type problem, of the same dimension as the implicit problem ...
An economic model is a theoretical construct representing economic processes by a set of variables and a set of logical and/or quantitative relationships between them. The economic model is a simplified, often mathematical, framework designed to illustrate complex processes. Frequently, economic models posit structural parameters. [1]
The formal definition of the assignment problem (or linear assignment problem) is Given two sets, A and T, together with a weight function C : A × T → R. Find a bijection f : A → T such that the cost function: (, ()) is minimized.
The economic lot scheduling problem (ELSP) is a problem in operations management and inventory theory that has been studied by many researchers for more than 50 years. The term was first used in 1958 by professor Jack D. Rogers of Berkeley, [1] who extended the economic order quantity model to the case where there are several products to be produced on the same machine, so that one must decide ...
An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers.In many settings the term refers to integer linear programming (ILP), in which the objective function and the constraints (other than the integer constraints) are linear.