Consider a finite irreducible Markov chain with transition matrix M = (pij). Fixing a target distribution τ , we study a family of optimal stopping rules from the singleton distributions to τ . We show that this family of rules is dual to a family of (not necessarily optimal) rules on the reverse chain from the singleton distributions to a related distribution α̂ called the τ -contrast distribut...

Inspired by the theory of variety-expanding product innovation we derive a testable relationship of outsourcing on the growth rate of knowledge. We estimate this relationship with a firm-level dataset, which is a unique match of PATSTAT patent data and the Amadeus dataset. We find evidence that forward spillovers are stronger than backward spillovers, where forward spillovers are defined as spi...

In this study, a new modeling method based on trapezoidal fuzzy number FAHP has been proposed to solve the problem of risk element transmission in enterprise project evaluation chain. We firstly put forward enterprise project chain risk element transmission and constructs enterprise project chain risk element transmission tetrahedron model and then proposed the theory of enterprise project eval...

Chain graphs combine directed and undi­ rected graphs and their underlying mathe­ matics combines properties of the two. This paper gives a simplified definition of chain graphs based on a hierarchical combination of Bayesian (directed) and Markov (undirected) networks. Examples of a chain graph are multivariate feed-forward networks, cluster­ ing with conditional interaction between vari­ able...

This paper gives closed-form solutions (requiring linear and quadratic equations only) for the forward displacement and velocity kinematics of two parallel kinematic chain designs presented by Hunt and Primrose in 1993, 4]. The solutions rely on a simple geometric algorithm that nds the top of a tetrahedron if the base triangle and the lengths of all of its sides are known. The forward kinemati...

With an aim to resolve the problem of the increasing costs of supply chain in Manufacture Company, an integrated supply chain management model, driven by market demand, is brought forward in this paper, based on the analysis of existing integrated models of supply chain. The management model integrates purchase, production and sale plans with logistics plans used JIT. In order to build an integ...

Recently, with the environmental crisis, Green supply chain management (or GSCM), and in particular closed loop supply chain model, has received considerable attention by researchers. Closed loop supply chain model aims at reduction of waste and generating profit for enterprises through integrating forward and reverse logistics. Unfortunately, there is limited research on general models for clo...

By analyzing the online information environment, interactivity and consumers‟ behavior. We explore the consumer‟s information cognize and experience process. Put forward the conception and framework of consumer experience chain based on network interactivity. Bring some recommendations for further research.