This paper discusses cake-cutting protocols when the cake is a heterogeneous good that is represented by an interval in the real line. We propose a new desirable property, the meta-envy-freeness of cake-cutting, which has not been formally considered before. Though envy-freeness was considered to be one of the most important desirable properties, envy-freeness does not prevent envy about role a...

We examine the history of cake cutting mechanisms and discuss the efficiency of their allocations. In the case of piecewise uniform preferences, we define a game that in the presence of strategic agents has equilibria that are not dominated by the allocations of any mechanism. We identify that the equilibria of this game coincide with the allocations of an existing cake cutting mechanism.

I N T R O D U C T I O N In a number of industries, such as paper and film, there is an important class of problems OVER THE past 20 years, a substantial amount that falls in between the well known one and of work has been done on one and two-dimentwo-dimensional problems. These are referred sional cutting stock problems. A number of to here as two-stage cutting stock problems early authors [1, ...

Raising schooling quality in low-income countries is a pressing challenge. Substantial research has considered the impact of cutting class sizes on skills acquisition. Considerably less attention has been given to the extent to which peer effects, which refer to class composition, also may affect outcomes. This study uses new microdata from East Africa, incorporating test score data for over 25...

Genome sizes of six different Wolbachia strains from insect and nematode hosts have been determined by pulsed-field gel electrophoresis of purified DNA both before and after digestion with rare-cutting restriction endonucleases. Enzymes SmaI, ApaI, AscI, and FseI cleaved the studied Wolbachia strains at a small number of sites and were used for the determination of the genome sizes of wMelPop, ...

The instrument described here consists of a special syringe on which sharp cutting needles of various sizes are mounted. These produce undistorted biopsy specimens. Suction is used only to retain the specimen within the needle, and the cleancut cylinder of tissue is quite unlike that obtained by aspiration. Gillman and Gillman&2 used this principle for their liver biopsy instrument. We have ret...

in order to help in the engineering design of rice harvesting machines, there is a need to have exact information concerning the physical and mechanical properties of rice stems. the cutting force for rice stems, therefore, was measured by designing and fabricating a static and dynamic shear test apparatus. the effects of moisture levels and the cross-sectional area of stem as well as the varie...

In this paper we study a 1.5-dimensional cutting stock and assortment problem which includes determination of the number of different widths of roll stocks to be maintained as inventory and determination of how these roll stocks should be cut by choosing the optimal cutting pattern combinations. We propose a new multi-objective mixed integer linear programming (MILP) model in the form of simult...

The project is to develop a machine to debone a cattle forequarter, which is currently a problem in the meat industry mainly due to high labour cost. The deboning is the process of cutting on both sides of the each rib bone in such a way that the rib bone can be pulled out clean. This project attempted to find an automated solution that would fulfil the requirements of the meat industry. The pr...