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Interlocking assemblies have a long history in the design of puzzles, furniture, architecture, and other complex geometric structures. The key defining property of interlocking assemblies is that all component parts are immobilized by their geometric arrangement, preventing the assembly from falling apart. Computer graphics research has recently contributed design tools that allow creating new interlocking assemblies. However, these tools focus on specific kinds of assemblies and explore only a limited space of interlocking configurations, which restricts their applicability for design. In this paper, we propose a new general framework for designing interlocking assemblies. The core idea is to represent part relationships with a family of base Directional Blocking Graphs and leverage efficient graph analysis tools to compute an interlocking arrangement of parts. This avoids the exponential complexity of brute-force search. Our algorithm iteratively constructs the geometry of assembly components, taking advantage of all existing blocking relations for constructing successive parts. As a result, our approach supports a wider range of assembly forms compared to previous methods and provides significantly more design flexibility. We show that our framework facilitates efficient design of complex interlocking assemblies, including new solutions that cannot be achieved by state of the art approaches.

In this paper looked through several aspects of the sustainable development of the automotive business and industry in Uzbekistan. We analysed the legal and regulatory framework, directed investment target program for the development of the automotive business, the main socio–economic indicators and the results of the JSC “Uzavtosanoat”, which is the top of the organisation and the main coordinator of the sector in Uzbekistan. In the process, information obtained that year by year, an increasing number of localised sets of component, parts for cars, trucks and agricultural machinery. In addition, in 2015, because of 8 AK “Uzavtosanoat” system projects in the republic created 220 new jobs and spent more than 42 billion souls of domestic investment. As results of 6 foreign direct investment projects assimilated more than 7 million US dollars and created over 100 new jobs in the system of JSC “Uzavtosanoat”. In 2013–2015 years increased production of trucks and heavy machinery was almost 270 percent, batteries 126.7 percent, in turn, decreased the production of passenger cars by 25 per cent, 68 per cent of the buses. This data indicates that gradual changes in the world and in the internal conditions of vehicles market are saturated domestic market of buses and cars. Increased domestic demand for trucks due to the prosperity of various types of civil and housing construction in the country, a gradual upgrade of Trucks Park in the enterprises, the acquisition of new trucks and special vehicles from the side of small business and private entrepreneurship.

This article is concerned with the interaction of regulated efficiency and World Trade Organization (WTO) accession and its impact on China's motor vehicle sector. The analysis is conducted using a 23 sector-25 region computable general equilibrium model. Regulatory reform and internal restructuring are found to be critical. Restructuring is represented by a cost reduction following from consolidation and rationalization that moves costs toward global norms. Without restructuring, WTO accession means a surge of final imports, though imports of parts could well fall as production moves offshore. However, with restructuring, the final assembly industry can be made competitive by world standards, with a strengthened position for the industry.