The traffic assignment problem is one of the most important problems for analyzing and optimizing the transportation network to find optimal flows. This study presented a new formulation based on a generalized Benders' decomposition approach to solve its important part, i.e. user equilibrium problems, in deterministic and stochastic cases. The new approach decomposed the problem into a master p...

In today's competitive markets, firms try to reduce their supply cost by selecting efficient suppliers using different techniques. Several methods can be applied to evaluate the efficiency of supplier base. This paper develops generalized network data envelopment analysis models to examine the efficiency of two-tier supplier bases under cooperative and non-cooperative strategies where each tier...

A multiobjective nonlinear programming problem is considered. Sufficiency theorems are derived for efficient and properly efficient solutions under generalized (F, ρ)-convexity assumptions. Weak, strong and strict converse duality theorems are established for a general Mond–Weir type dual relating properly efficient solutions of the primal and dual problems.

Amongst various important applications, one important application of nonlinear programming is to maximize or minimize the ratio of two functions, commonly called fractional programming. The characteristics of fractional programming problems have been investigated widely [1, 6, 10] and [13]. In noneconomic situations, fractional programming problems arisen in information theory, stochastic progr...

This article presents strategies for state-feedback control law design of nonlinear laws with saturating inputs. The input constraints are handled by considering a generalized local sector inequality allowing the study nonsymmetric saturation bounds. A numerical formulation is presented polynomial systems and based on solution Lyapunov inequalities sum-of-squares programming.

In this paper, the problem under consideration is multiobjective non-linear fractional programming problem involving semilocally convex and related functions. We have discussed the interrelation between the solution sets involving properly efficient solutions of multiobjective fractional programming and corresponding scalar fractional programming problem. Necessary and sufficient optimality...

Various mathematical programming methods are developed in the literature for solving quadratic objective optimization problem. Conventional approaches such as Lambda iteration method, gradient method and quadratic programming method are used to solve the quadratic objective optimization problems. These conventional methods have different drawbacks of their own. In Lambda iteration method, it is...

Hardware Limited (AHL) was formed to produce and sell formallybased tools for digital hardware design. We chose to construct these tools – the LAMBDA system – in Standard ML using (mostly) functional programming techniques. The LAMBDA system is now 7 years old and contains more than 170K lines of code, making it one of the world’s largest functional programs. This talk will discuss the conseque...

The flexibility of the family of Generalized Lambda Distributions (GLD) has encouraged researchers to fit GLD distributions to datasets in many circumstances. The methods that have been used to obtain GLD fits have also varied. This paper compares, for the first time, the relative qualities of three GLD fitting methods: the method of moments, a method based on percentiles, and a method that use...