Large-Scale Bundle Size Pricing: A Theoretical Analysis

Author(s):  
Tarek Abdallah ◽  
Arash Asadpour ◽  
Josh Reed
2021 ◽  
Author(s):  
Tarek Abdallah ◽  
Arash Asadpour ◽  
Josh Reed

Can you sell multiple items by providing only prices for different sizes of bundles rather than the different possible combinations of them? In this paper, we provide a framework for understanding “bundle-size pricing” (or simply, BSP) where only a menu of bundle sizes and their corresponding prices are offered. Although BSP is commonly used across several industries, little is known about the optimal BSP policy in terms of sizes and prices, along with the theoretical properties of its profit. In this paper, we provide a simple and tractable theoretical framework to analyze the large-scale BSP problem where a multiproduct firm is selling a large number of products. We characterize the circumstances under which such policies perform well by studying the effect of various factors such as marginal cost or customers’ budget on the performance of BSP and identify possible causes of its inefficiency.


2017 ◽  
Vol 23 (4) ◽  
pp. 455-463 ◽  
Author(s):  
Weigang YAN ◽  
Lin JIANG ◽  
Weiguang AN ◽  
Yang ZHOU ◽  
Jinhua SUN

Buildings have U-shape façade designs for certain purposes such as lighting. However, such designs may lead to a higher fire hazard. In this paper, large scale experiments of upward flame spread over XPS insulation material were conducted to investigate the fire hazard of building’s U-shape façade wall geometry. Comparison to previous labora­tory scale experiments were also presented. Theoretical analysis was performed to reveal the mechanism of the U-shape geometry’s influences. It is found that such geometry design would increase the fire hazard of buildings: flame spread rate and flame height increased with U-shape’s geometrical factor. The results agreed with theoretical analysis. It is ex­pected that the buildings’ U-shape façade wall geometry would greatly benefit flame spread for full scale applications and increase the fire hazard. Thus engineers should be careful with such façade wall designs, especially for residential building designs.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Abdulkarim Hassan Ibrahim ◽  
Poom Kumam ◽  
Auwal Bala Abubakar ◽  
Jamilu Abubakar

AbstractIn recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method.


2021 ◽  
Author(s):  
Meng Cao ◽  
Ziyan Wu ◽  
Xiaobo Li

ABSTRACTFunctional connectivity (FC) has been demonstrated to be varying over time during sensory and cognitive processes. Quantitative examinations of such variations can significantly advance our understanding on large-scale functional organizations and their topological dynamics that support normal brain functional connectome and can be altered in individuals with brain disorders. However, toolboxes that integrate the complete functions for analyzing task-related brain FC, functional network topological properties, and their dynamics, are still lacking. The current study has developed a MATLAB toolbox, the Graph Theoretical Analysis of Task-Related Functional Dynamics (GAT-FD), which consists of four modules for sliding-window analyses, temporal mask generation, estimations of network properties and dynamics, and result display, respectively. All the involved functions have been tested and validated using fMRI data collected from human subjects when performing a block-designed task. The results demonstrated that the GAT-FD allows for effective and quantitative evaluations of the functional network properties and their dynamics during the task period. As an open-source and user-friendly package, the GAT-FD and its detailed user manual are freely available at https://www.nitrc.org/projects/gat_fd and https://centers.njit.edu/cnnl/gat_fd/.


2017 ◽  
Vol 2017 (4) ◽  
pp. 290-307 ◽  
Author(s):  
Fatemeh Rezaei ◽  
Amir Houmansadr

Abstract Flow fingerprinting is a mechanism for linking obfuscated network flows at large scale. In this paper, we introduce the first blind flow fingerprinting system called TagIt. Our system works by modulating fingerprint signals into the timing patterns of network flows through slightly delaying packets into secret time intervals only known to the fingerprinting parties. We design TagIt to to enable reliable fingerprint extraction by legitimate fingerprinting parties despite natural network noise, but invisible to an adversary who does not possess the secret fingerprinting key. TagIt makes use of randomization to resist various detection attacks such as multi-flow attacks. We evaluate the performance and invisibility of TagIt through theoretical analysis as well as simulations and experimentation on live network flows.


1997 ◽  
Vol 46 (2) ◽  
Author(s):  
Peter Engelhard ◽  
Heiko Geue ◽  
Cornelia Schädel

AbstractFrom the Apartheid régime, South Africa inherited a very disproportional distribution of income and wealth, leading to a persistent material discrimination of the majority of its citizens. This may only be overcome by large scale measures of economic and social reform. Those are outlined by the Reconstruction and Development Programme (RDP). The RDP is an ambitious plan on investment in human assets, promising the creation of new employment and the reshaping of distributive patterns. However, its implementation can only be financed if economic growth is sufficiently strong. Additionally, a policy pursuing investment in human assets can only be effective if certain conditions concerning its utilization in the market economy are met. This paper aims at a comprehensive theoretical analysis of current measures derived from the RDP. These are analysed by means of the process-theory of human assets.


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