Necessary and Sufficient Conditions in Smooth Programming with Generalized Convexity

Hanson and Mond have grven sets of necessary and sufficient conditions for optimality in constrained optimization by introducing classes of generalized functions, called type Ⅰ functions. Recently, Bector definded univex functions, a new class of functions that unifies several concepts of generalized convexity. In this paper, additional conditions are attached to the Kuhn Tucker conditions giving a set of conditions which are both necessary and sufficient for optimality in constrained optimization, under appropriate constraint qualifications.

河湾里的鱼

朋友邀约去河边钓鱼,我从没在河里钓过鱼,以前钓鱼只去过专门供人钓鱼的鱼塘。河里钓鱼该怎么钓?光是选钓点都不太清楚。我以为,河里钓鱼应该去河的中间,那里才能钓到大鱼。且想,划条小船,泊在河心,端坐船上,任凭河水东去,我自放长线钓大鱼。那风度,那气派,该是河中一景,想想都觉得过瘾。

The Optimal Conditions of the Linear Fractional Programming Problem with Constraint

In this article,the authors discuss the optimal conditions of the linear fractionalprogramming problem and prove that a locally optional solution is a globally optional solution and the locally optimal solution can be attained at a basic feasible solution withconstraint condition.

A Preliminary Study on the New Activity Features of the Lajishan Mountain Fault Zone in Qinghai Province

The Lajishan Mountain fault zone consists of two NE_protruding arcuate faults, i.e. the northern and southern margin fault of Lajishan Mountain with the fault length of 230km and 220km respectively. The fault zone is located in the large_scale compressional structure zone and tectonic gradient zone in_between the NNW_trending right_lateral strike_slip Reshui_Riyueshan fault zone and the NWW_trending left_lateral strike_slip northern margin of west Qinling Ranges fault zone is also an important boundary fault zone, separating the Xining_Minhe basin and the Xunhua_Hualong basin at the southern and northern sides of the Lajishan Mountain respectively. Geologic geomorphic evidences of new activity revealed by field investigations indicate that the latest movement of the Lajishan fault zone was in late Epipleistocene (only a few segments were active in early Holocene) and is mainly of compressive thrusting with slightly left_lateral strike_slip component. The above movement has possibly resulted in the occurrence of about 20 moderate earthquakes of magnitude around 5.0. The Lajishan region can therefore be regarded as a seismotectonic window to reflect tectonic movement and earthquake activity.

Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity

In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal E-convex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by Preda[J Math Anal Appl, 288（2003） 365-382].

A Strategy for the Integration of Production Planning and Scheduling in Refineries under Uncertainty

A strategy for the integration of production planning and scheduling in refineries is proposed. This strategy relies on rolling horizon strategy and a two-level decomposition strategy. This strategy involves an upper level multiperiod mixed integer linear programming （MILP） model and a lower level simulation system, which is extended from our previous framework for short-term scheduling problems [Luo, C.E, Rong, G, ＂Hierarchical apthis extended framework is to reduce the number of variables and the size of the optimization model and, to quickly find the optimal solution for the integrated planning/scheduling problem in refineries. Uncertainties are also considered in this article. An integrated robust optimization approach is introduced to cope with uncertain parameters with both continuous and discrete probability distribution.

A Class of High Accuracy Explicit Difference Schemes for Solving the Heat-conduction Equation of High-dimension

In this paper, a class of explicit difference schemes with parameters for solving five-dimensional heat-conduction equation are constructed and studied.the truncation error reaches O（τ^2＋ h%4）, and the stability condition is given. Finally, the numerical examples and numerical results are presented to show the advantage of the schemes and the correctness of theoretical analysis.

Boundary Correlation Functions of the gl(1|1) Supersymmetric Vertex Model

The gl（1/1） supersymmetric vertex model with domain wall boundary conditions （DWBC） on an N × N square lattice is considered. We derive the reduction formulae for the one-point boundary correlation functions of the model. The determinant representation for the boundary correlation functions is also obtained.

The planning and comprehensive utilization of Three Gorges Project

As the most significant water project,the Three Gorges Project (TGP) was designed to take care of multiple objectives for water utilization such as flood control,power generation and navigation.The implementation of the project improved the flood safety level of Jingjiang reach to more than 100-year return period,which reduced greatly the flood risk at the mid-lower reaches of Changjiang River,produce huge quantity of energy for the central,east and south China,and improved significantly the navigation conditions of Chuanjiang River.Meanwhile,the operation of the TGP in dry season which compensate the downstream water resources,will as well deepen the navigation channel and thus improve the navigation conditions in the middle river reach.With the increasing demands raised from various aspects of the society,new requirements will be made for the TGP for the purpose of harnessing,development and protection of the Yangtze River Basin.Therefore,it will be a long-term task for the operation of TGP on how to optimize the water resources utilization and implement an effective operation.

Urban-Design Process with Snow and Wind Simulations： A Study on the Kitami City Hall

Regional climatic conditions should be considered while designing urban development plans, with special attention to the impact of snowfall on public spaces in cities with harsh winters. The Kitami-city-hall-renewal project in Hokkaido, Japan was studied as an environmental assessment of snow drifting. Assessments of the two site plans proposed during the architectural planning process （A-type and B-type） were conducted in terms of the following three items： （1） The two site plans indicate snow-drifting problems around the main entrance; （2） More number of local snowdrifts on the main-street sidewalks were suggested in the B-type design; （3） Less number of snowdrifts in the parking area beside the railroad were indicated in the A-type design. These results were reflected in the architectural planning process. On the basis of this study, a desirable design process incorporating environmental assessments has been identified for cities with harsh winters.

Symmetric alteration of four knots of B-spline and NURBS surfaces

Modifying the knots of a B-spline curve, the shape of the curve will be changed. In this paper, we present the effect of the symmetric alteration of four knots of the B-spline and the NURBS surfaces, i.e., symmetrical alteration of the knots of surface, the extended paths of points of the surface will converge to a point which should be expressed with several control points. This theory can be used in the constrained shape modification of B-spline and NURBS surfaces.

Optimization of industrial production of feed blends by fuzzy multi-criteria programming methods

Abstract： This paper presents a model for optimizing industrial production of blend for livestock feed by application of a fuzzy multi-criteria programming method. This paper （1） considers multicriteria problem of industrial production of feed blend optimization in vague conditions, （2） proposes a fuzzy multiple criteria programming （FMCP） model for industrial production of feed blend optimization in vague conditions, （3） applies the proposed model in solving the concrete problem of industrial production of feed blend optimization and （4） points to the advantages of the model usage through sensitivity analysis of compromise solutions.

Multiobjective Optimization of Truss Topology by Linear/Sequential Linear Programming Method

The present paper deals with a multiobjective optimization of truss topology by either Sequential Linear Programming （SLP） method or Linear Programming （LP） method. The ground structure approach is often used to solve this kind of design problems. In this paper, the topology optimization is formulated as a Multiobjective Optimization Problem （MOP）, which is to find the cross-sectional area of truss members, such that both the total volume of members and the weighted mean compliance are minimized. Based upon the Karush-Kuhn-Tucker conditions （the optimality condition）, the Pareto optimal front of this problem can be obtained theoretically. The truss topology optimization under multiple load cases can be solved by the SLP. On the other hand, the LP such as the Simplex method or the interior point method can be applied to find one of the Pareto optimal solutions of the MOP under single load case. The applications of either the SLP or the LP are illustrated in numerical examples with discussion on characteristics of design results.

Several Problems about the Generalized Convexity

In this article,we will prove that,under the differential condition,the strict pseudo_convexity and Orgega_Rheinbold pseudo_convex are equivalent.What's more,we will discuss the relation between the r_convexity and the analog convexity.

Planning of Cost Effective Water Harvesting in a Sub Basin of the Subarnarekha River in the State of West Bengal, India

Development and judicious management of available water resources play a key role for economic upliftment of any region. The agricultural pattern and social and demographic status in the upper basin of the Dulung Nala Stream （a tributary of the Subarnarekha River） in the western part of the State of West Bengal, India, reveals growing demand of water in the basin. The paper reports different management plans involving different types of water harvesting structures （and associated different types of water distribution systems） and different crop combinations and with benefit/cost ratios varying from 1.3 to 11.2 for the basin. The study points out that the judicious choice of both the water harvesting structure as well as the water distribution system is important. Proper planning of crop pattern is also to be emphasized for reaping maximum benefit. It further emphasizes that cost- benefit ratio cannot solely govern the choice of structure and that maximum utilization of catchmental water and thus enhancement of agricultural output （and also economic return from the catchment） i.e. quantum of benefit is also important. The water harvesting structures proposed in this study can be implemented in other semi-arid regions of India having almost the same climatic and socio-economic conditions.

Outer Synchronization of Complex Networks by Impulse

This paper investigates outer synchronization of complex networks,especially,outer complete synchronizationand outer anti-synchronization between the driving network and the response network.Employing the impulsivecontrol method which is uncontinuous,simple,efficient,low-cost and easy to implement in practical applications,weobtain some sufficient conditions of outer complete synchronization and outer anti-synchronization between two complexnetworks.Numerical simulations demonstrate the effectiveness of the proposed impulsive control scheme.

Alteration of Crime Risk Levels and Formal Aspect of Typical LowCost Housing Design Due to Site Conditions and Building Codes

As a component of the process of rationalization, lowcost housing Institution, as well as major investiment companies, commonly reuse a typical design as a standard. The goal of this procedure is to obtain cheaper costs both in the construction and in the maintenance of an homogeneous lot of buildings. The paper shows that, nevertheless an identical design being proposed in different towns, the final results are buildings with a different aspect. This is mainly due to the influence of building codes of the urban plan of the specific town, and to the site conditions, such as street orientation, ground inclination and so on. As a result the paper offers the ability to evaluate the role of the external factors on a standard design （with the afore said scale vantages） under the criminological point of view as well. This may be considered a further vantage that aims to obtain a lower crime risk level in town design.

Modeling and Dynamic Analysis in Software Systems Based on Complex Networks

A software network model with multiple links is constructed on the basis of a dynamical model of a general complex network with mukiple links. The principle of network division of multiple links is introduced. Following these principles, the software network model is decomposed into three types of subnets and different relationships between classes are revealed. Then, the dynamic analysis of software networks is presented. A sufficient condition for the stability of general complex networks is obtained followed by that of software networks. Finally, the dynamics of an open-source software system is analyzed, and their simulations are provided to demonstrate the effectiveness of the presented model.

Influence of Atomization Parameters in the Obtention of Mango Pulp Powder

Mango is a widely cultivated and consumed fruit in Brazil and one of the most important alternatives to take advantage of the production excess is dehydration. Therefore, this work aims at establishing better operational conditions for ＂spray-drying＂ processes, in order to obtain the powder of mango pulp by means of a rotational central compounded planning, and also at carrying out the physicochemical characterization of both the integral mango pulp and the powder obtained from the operational conditions mentioned above. Both integral mango pulp and powder were analyzed as for the following physicochemical characteristics： humidity, pH, titratable acidity, soluble solids （~Brix）, vitamin C and color--through parameters L＊, a＊, b＊ and h0, Chrome （C＊） and color difference （AEL＊a＊b＊）. The experimental planning used presented significant differences at 5% of probability, showing that the model was adjusted to the data in accordance to F test, thus being possible to determine the best process conditions. In addition, the average results of the physicochemical parameters pointed out that the pulp used was in accordance with the patterns established by the quality and identity patterns for mango pulp. Moreover, it showed that the powder obtained had good physicochemical quality.