2k点可删的导出匹配可扩图的度条件

我们说简单图G是 2k点可删的导出匹配可扩图 ,是指如果对于任意的s V(G) ,|S| =2k,都有G -S是导出匹配可扩图。简单图G是 2k点可删的导出匹配可扩图的度条件是 :若图G有 2n个顶点且n≥ 4、k是一个小于或等于n - 3的正整数 ,则当δ(G)≥4n + 2k3 时 ,图G是2k点可删的导出匹配可扩图 ,并且 4n + 2k3 是 2k点可删的导出匹配可扩图G的最小度的最小值。

Waste Minimization Through Process Integration and Multi-objective Optimization

By avoiding or reducing the production of waste, waste minimization is an effective approach to solve the pollution problem in chemical industry. Process integration supported by multi-objective optimization provides a framework for process design or process retrofit by simultaneously optimizing on the aspects of environment and economics. Multi-objective genetic algorithm is applied in this area as the solution approach for the multi-objective optimization problem.

Comprehensive Waste Minimization Study at an Industrial Battery Manufacturing Plant in Ohio, USA

Industrial battery manufacturing facilities generate large quantities of hazardous waste, which must be properly treated before it can be disposed. Reducing the quantities of these waste streams can significantly reduce the cost of treatment and lead to competitive advantages. Waste minimization at these facilities is beneficial for the stakeholders and the environment. The quantities of hazardous waste can be minimized by upgrading the facility＇s technology or substituting hazardous substances, which are used in the battery manufacturing process, with more environmentally friendly options. Separation of waste streams will allow for additional reuse opportunities and revenue generation from the sale of these materials, which will enhance the financial performance of the facility. This paper provides a case study of comprehensive waste minimization in a battery manufacturing plant in Ohio, USA. Source reduction, recovery, and recycling methods are taken into account with consideration given to economic impacts. The goal of the study was to develop an understanding of the facility＇s waste generating processes, to suggest methods to reduce to the waste generation and finally to select an appropriate waste minimization option to suggest the facility＇s management team. Some of the suggested methods are currently being practiced while others are at the initial stage of development.

Multiple objectives application approach to waste minimization

Besides economics and controllability, waste minimization has now become an objective in designing chemical processes, and usually leads to high costs of investment and operation. An attempt was made to minimize waste discharged from chemical reaction processes during the design and modification process while the operation conditions were also optimized to meet the requirements of technology and economics. Multiobjectives decision nonlinear programming (NLP) was employed to optimize the operation conditions of a chemical reaction process and reduce waste. A modeling language package-SPEEDUP was used to simulate the process. This paper presents a case study of the benzene production process. The flowsheet factors affecting the economics and waste generation were examined. Constraints were imposed to reduce the number of objectives and carry out optimal calculations easily. After comparisons of all possible solutions, best-compromise approach was applied to meet technological requirements and minimize waste.

Density of Electron States and Volume of Solution of Hydrogen in SiC Alloys

The new reactor concepts are characterized by higher efficiency, better utilization of nuclear fuel and nuclear waste minimization. This approach means that it is necessary to continue a continued research and test of new materials in order to apply them in new reactors. In this study, the authors fbcused on the analysis of SiC alloys because, due to their particular properties, this alloy can be used in high temperature conditions where the pure silicon, semiconductor material par excellence, is inadequate to support them.

Waste Minimization Practices at the National University of Costa Rica

In order to determine the quantity of laboratories doing waste minimization practice related with the USEPA （United State Environmental Protection Agency） pollution hierarchy, an initial diagnostic about waste management at laboratories was conducted. The data gathered were used to start a training to laboratory personnel training about EPA-PH （Environmental Protection Agency-Pollution Hierarchy）. After training new diagnostics were performed. The applications of waste minimization practices in the laboratories were analyzed before and after the training. The most poorly practices performed year by year during the study period were ＂substitute nonhazardous materials＂, ＂chemical treatment＂ and ＂distillation＂. ＂Redistribute surplus chemical＂ was performed in 22 labs, 30 labs and 48 labs during years 2010, 2011 and 2013 respectively as the most common practice. This study showed that training about pollution prevention hierarchy increased the number of laboratories doing waste minimization practices, prioritizing reduction and prevention from the source.

Optimal scenario balance of reduction in costs and greenhouse gas emissions for municipal solid waste management

To reduce carbon intensity, an improved management method balancing the reduction in costs and greenhouse gas(GHG)emissions is required for Tianjin's waste management system. Firstly, six objective functions, namely, cost minimization, GHG minimization, eco-efficiency minimization, cost maximization, GHG maximization and eco-efficiency maximization, are built and subjected to the same constraints with each objective function corresponding to one scenario. Secondly, GHG emissions and costs are derived from the waste flow of each scenario. Thirdly, the range of GHG emissions and costs of other potential scenarios are obtained and plotted through adjusting waste flow with infinitely possible step sizes according to the correlation among the above six scenarios. And the optimal scenario is determined based on this range. The results suggest the following conclusions. 1) The scenarios located on the border between scenario cost minimization and GHG minimization create an optimum curve, and scenario GHG minimization has the smallest eco-efficiency on the curve; 2) Simple pursuit of eco-efficiency minimization using fractional programming may be unreasonable; 3) Balancing GHG emissions from incineration and landfills benefits Tianjin's waste management system as it reduces GHG emissions and costs.

The Six Sigma Approach to Solid Waste Management and Minimization： Moving towards Zero Landfill Facilities

This article provides an overview of an eleven step solid waste analysis and minimization process that is based on the six sigma approach to problem solving that may be applied at a wide variety of organizations. The six sigma approach provides a holistic process that focuses on minimizing defects, in this case, eliminating waste disposed at landfills. As many organizations are moving towards ＂zero landfill＂ facilities, such a process is needed to aid in achieving these goals. The eleven step processes provides details on establishing goals, creating process flowcharts, conducting waste sorts, data collection, establishing baseline data, identifying improvement opportunities, cost justification, executing improvement plans and validating results. The article also includes a case study that applies that eleven step process. The goal of the article is to provide the audience with a structured process to evaluate and minimize solid waste generation based on cost justified improvement opportunities.

Entransy dissipation analysis and optimization of separated heat pipe system

Seperated heat pipe systems are widely used in the fields of waste heat recovery and air conditioning due to their high heat transfer capability,and optimization of heat transfer process plays an important role in high-efficiency energy utilization and energy conservation.In this paper,the entransy dissipation analysis is conducted for the separated heat pipe system,and the result indicates that minimum thermal resistance principle is applicable to the optimization of the separated heat pipe system.Whether in the applications of waste heat recovery or air conditioning,the smaller the entransy-dissipation-based thermal re-sistance of the separated heat pipe system is,the better the heat transfer performance will be.Based on the minimum thermal resistance principle,the optimal area allocation relationship between evaporator and condenser is deduced,which is numeri-cally verified in the optimation design of separated heat pipe system.