In this we paper we study techniques for generating valid convex constraints for mixed 0-1 conic programs. We show that many of the techniques developed for generating linear cuts for mixed 0-1 linear programs, such as the Gomory cuts, the lift-and-project cuts, and cuts from other hierarchies of tighter relaxations, extend in a straightforward manner to mixed 0-1 conic programs. We also show t...

To determine the average tenderness and sensory ratings of beef subprimal cuts sold in retail cases across the United States, retail cuts were purchased through typical retail outlets in 14 metropolitan cities and transported to Texas A&M University for sensory and Warner-Bratzler shear analysis. The overall mean shear force for all cuts was 3.65 kg, and the mean shear force values for chuck, r...

This study analyzes the trade-off relationship between layoffs and wage cuts. If the introduction of a performance-based payment system stimulates workers’ pecuniarymotivated minds, their morale can be damaged more severely by wage cuts than prior to the introduction thereof. Utilizing this idea, we demonstrate theoretically that the more heavily wages are based on performance, the more firms, ...

———————————————————————————————Abstract The economic efficiency (EE) measure in non-convex technologies requires the data of input/output vectors and prices to be known deterministically. But as regards the data of the production process in many real-world applications, rather than dealing with crisp real numbers and crisp intervals, one has to deal with ”approximate” numbers or intervals of th...

We study the watersheds in edge-weighted graphs. Contrarily to previous works, we define the watersheds following the intuitive idea of drops of water flowing on a topographic surface. We establish the consistency (with respect to characterizations of the catchment basins and dividing lines) of these watersheds, prove their optimality (in terms of minimum spanning forests) and derive a linear-t...

There is an increasing effort in the scientific community to provide suitable methods for the inclusion of uncertainties into mathematical models. One way to do so is to introduce parametric uncertainty by representing the uncertain model parameters as fuzzy numbers [1] and evaluating the model equations by means of Zadeh’s extension principle [2]. The evaluation of this classical formulation o...

In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. Our method can rank more than two fuzzy numbers simultaneously. Also, some properties of methods are described...

With stochastic integer programming as the motivating application, we investigate techniques to use integrality constraints to obtain improved cuts within a Benders decomposition algorithm. We compare the effect of using cuts in two ways: (i) cut-and-project, where integrality constraints are used to derive cuts in the extended variable space, and Benders cuts are then used to project the resul...