Various Ni catalysts were synthesized by combining a high surface area SBA-15 support, a novel preparation method using an oleic acid precursor to obtain highly dispersed and small Ni particles, and the basic property of La. The activity test shows that the La-promoted Ni/SBA-15 catalyst has much higher catalytic activity and stability than unpromoted Ni/SBA-15 catalysts in the CO 2 (dry) reforming of methane (DRM) reaction due to the crucial role of La to simultaneously adsorb CO 2 and remove deposited carbon from the Ni metal surface. The optimization of La content shows that only a small amount of La around 1 wt% is necessary to achieve the best catalytic performance. The reaction mechanism was then proposed and kinetic modeling (for pilot scale) was performed to find the rate-determining step (RDS) in the DRM reaction for this 1% La-promoted Ni/SBA-15 catalyst. The obtained fitting result shows that CH 4 decomposition is the RDS for this catalyst with an apparent activation energy of around 40.8 kJ mol −1 which is similar to the activation energies reported for common Ni-based supported catalysts.Catal. Sci. Technol. This journal is

In this article, we introduce and analyze an extension to the matching problem on a weighted bipartite graph (i.e., the assignment problem): Assignment with Type Constraints. Here, the two parts of the graph are each partitioned into subsets, called types and blocks, respectively; we seek a matching with the largest sum of weights under the constraint that there is a pre-specified cap on the number of vertices matched in every type-block pair. Our primary motivation stems from the large-scale public housing program run by the state of Singapore, accounting for over 70% of its residential real estate. To promote ethnic diversity within its housing projects, Singapore imposes ethnicity quotas: The population is divided into ethnicity-based groups and each new housing development into blocks of flats such that each group must not own more than a certain percentage of flats in a block. However, other domains use similar hard capacity constraints to maintain diversity: These include matching prospective students to schools or medical residents to hospitals. Limiting agents’ choices for ensuring diversity in this manner naturally entails some welfare loss. One of our goals is to study the tradeoff between diversity and (utilitarian) social welfare in such settings. We first show that, while the classic assignment program is polynomial-time computable, adding diversity constraints makes the problem computationally intractable; however, we identify a ½-approximation algorithm, as well as reasonable assumptions on the structure of utilities (or weights) that permit poly-time algorithms. Next, we provide two upper bounds on the price of diversity —a measure of the loss in welfare incurred by imposing diversity constraints—as functions of natural problem parameters. We conclude the article with simulations based on publicly available data from two diversity-constrained allocation problems—Singapore Public Housing and Chicago School Choice—which shed light on how the constrained maximization as well as lottery-based variants perform in practice.