Linear programming, complexity theory and elementary functional analysis

Elementary Strong Functional Programming

Functional programming is a good idea, but we haven’t got it quite right yet. What we have been doing up to now is weak (or partial) functional programming. What we should be doing is strong (or total) functional programming in which all computations terminate. We propose an elementary discipline of strong functional programming. A key feature of the discipline is that we introduce a type disti...

Complexity of Linear Programming

The complexity of linear programming is discussed in the "integer" and "real number" models of computation. Even though the integer model is widely used in theoretical computer science, the real number model is more useful for estimating an algorithm's running time in actual computation. Although the ellipsoid algorithm is a polynomial-time algorithm in the integer model, we prove that it has u...

Linear Programming , Complexity

Incorporating Condition Measures into the Complexity Theory of Linear Programming

SENSITIVITY ANALYSIS IN LINEAR-PLUS-LINEAR FRACTIONAL PROGRAMMING PROBLEMS

In this paper, we study the classical sensitivity analysis when the right - hand – side vector, and the coefficients of the objective function are allowed to vary.