An inertial shrinking projection algorithm for split common fixed point problems

In this paper, the purpose is to introduce and study a new modified shrinking projection algorithm with inertial effects, which solves split common fixed point problems in Banach spaces. The corresponding strong convergence theorems are obtained without the assumption of semi-compactness on mappings. Finally, some numerical examples are presented to illustrate the results in this paper.     

A construction of pseudo metacirculants

Metacirculants were introduced by Alspach and Parsons in 1982 and have been a rich source of various topics since then. It is known that every metacirculant is a split weak metacirculant (A graph is called (split) weak metacirculant if it has a vertex-transitive (split) metacyclic subgroup of automorphisms). We say that a split metacirculant is a pseudo metacirculant if it is not metacirculant. In this paper, an infinite family of pseudo metacirculants is constructed, and this provides a negative answer to Question A in Zhou and Zhou (2018).     

Split Bregman iteration algorithm for total bounded variation regularization based image deblurring

Many existing algorithms taking the seminorm in BV(Ω) for regularization have achieved great success in image processing. However, this paper considers the total bounded variation regularization based approach to perform image deblurring. Based on this novel model, we introduce an extended split Bregman iteration to obtain the optimum solution quickly. We also provide the rigorous convergence analysis of the iterative algorithm here. Compared with the results of the ROF method, numerical simulations illustrate the more excellent reconstruction performance of the proposed algorithm.     

A tabu search heuristic for the split delivery vehicle routing problem with production and demand calendars

The purpose of this article is to propose a tabu search heuristic for the split delivery Vehicle Routing Problem with Production and Demand Calendars (VRPPDC). This new problem consists of determining which customers will be served by a common carrier, as well as the delivery routes for those served by the private fleet, in order to minimize the overall transportation and inventory costs. We first model this problem and then propose a simple decomposition procedure that can be used to provide a starting solution. Next, we introduce a new tabu search heuristic and we describe two new neighbor reduction strategies. Finally, we present the results of our extensive computational tests. According to these tests, our reduction strategies are efficient not only at reducing computing time but also at improving the overall solution quality.     

改进型1.75W/80K分置式斯特林制冷机的研究

文章根据改进型1.75W/80K分置式斯特林制冷机的主要技术指标要求,叙述了该型制冷机结构设计特点、理论计算过程和试验验证结果,目前该型制冷机已完成产品研制,各项技术指标满足用户需求。     

小型分置式斯特林制冷机理论冷量的计算方法

分置式斯特林制冷机由于连接管和室温腔等死容积的存在,其理论冷量的计算方法更是有别于整体式斯特林制冷机。文中着重以数值计算的思路计算了小型分置式斯特林制冷机的理论冷量,并通过实验测定。最后分析了主要工作参数诸如充气压力、工作频率等对分置式斯特林制冷机性能的影响。     

A split operator scheme for ocean wave simulation

A coupled discrete spectral model was developed for the prediction of ocean waves by solving the energy conservation equation of the two-dimensional wave spectrum. The model includes the dispersion correction terms in the governing equation to account for the dispersive effect due to the frequency-dependent velocities of waves. A split operator scheme is used to deal with the numerical problems arising from different terms of the governing equation. The advection terms are solved by the proven accurate minimax characteristics method to avoid excessive numerical damping or oscillations. The dispersion correction terms are solved by central differencing. The source and sink terms are solved by a quasi-second-order explicit scheme with limitation on energy growth per time step to allow the use of a large time step. The model was verified by ideal test cases and wave-hindcasting studies under typhoon conditions in the South China Sea near Hong Kong.