ISSN 0253-2778

CN 34-1054/N

2019 Vol. 49, No. 5

Display Method:
Stability of the backward problem of parabolic equation with time-dependent reaction coefficient
MA Zongli, YUE Sufang
2019, 49(5): 345-350. doi: 10.3969/j.issn.0253-2778.2019.05.001
The backward problem of two-dimensional parabolic equation with a time-dependent coefficient was considered. This problem is severely
Variational analysis for pessimistic semivectorial bilevel programming with nonsmooth data
LIU Bingbing, CHEN Sugen
2019, 49(5): 351-367. doi: 10.3969/j.issn.0253-2778.2019.05.002
Using variational analysis theory developed recently by Mordukhovich, the pessimistic semivectorial bilevel programming problem (PSBPP)
Maximum Balaban index and sum-Balaban index of cacti
FANG Wei, YU Hongjie, GAO Yubin, JING Guangming, LI Xiaoxin
2019, 49(5): 368-376. doi: 10.3969/j.issn.0253-2778.2019.05.003
The Balaban index and sum-Balaban index were used in various quantitative structure-property relationship and quantitative structure activity relationship studies. Here the upper bounds of Balaban index and sum-Balaban index among all cacti were given and the cacti that attain the bounds were characterized.
Proof of chromaticity of the complete tripartite graphs K(n-k,n-3,n)
XU Limin, YANG Zhilin
2019, 49(5): 377-381. doi: 10.3969/j.issn.0253-2778.2019.05.004
Let P(G, λ) be the chromatic polynomial of a graph G. A graph G is chromatically unique if for any graph H, P(H, λ)=P(G, λ) implies G≌H.
Atiyah classes of three-dimensional real Lie bialgebras
SHEN Dandan, QIAO Yu
2019, 49(5): 382-389. doi: 10.3969/j.issn.0253-2778.2019.05.005
Let (g,g*,γ) be a Lie bialgebra,where the map γ: g→gg is a 1-cocycle,that is, [γ]∈H(g,gg). First, the definition of Atiyah class of a Lie bialgebra based on the map γ was given. Combining the classification results of three-dimensional real Lie bialgebras, Atiyah classes of these Lie bialgebras were computed and analyzed.
Closure property of random sum and its maximum of random variables from class D based on precise large deviation principles
GUO Duo, HANG Min, WANG Shijie
2019, 49(5): 390-396. doi: 10.3969/j.issn.0253-2778.2019.05.006
Let X={X1,X2,…} be a sequence of independent but not necessarily identically distributed random variables,and let η be an integer-valued counting random variable independent of X.Random sum Sη=∑ηk=1 Xk and its maximum S(η)=max{S0,…,Sη} were studied. Assuming that each Xk belongs to the class of D, by using the result of the precise large deviation principles on class D, it was proven that the distributions of Sη and S(η) belong to the same class under some conditions.The obtained results expand the related ones of previous studies.
Dual credit channels for supply chain financing with a guarantee
ZHANG Hongyou, BI Gongbing, FEI Yalei
2019, 49(5): 397-411. doi: 10.3969/j.issn.0253-2778.2019.05.007
A supply chain financing system when the retailer is capital constrained under demand uncertainty was studied. Considering that the manufacturer provides part of the trade credit, the retailer has to access the loan from the bank(bank credit). Different from extant literatures, the manufacturer offers a credit guarantee for the loan the retailer borrows from the bank (trade credit). Their strategic interaction was modelled as a Stackelberg game with the manufacturer acting as the leader. And the manufacturer decides the credit proportion. The dual credit channels create a higher value for the manufacturer than the single credit channel under some circumstances. This is well demonstrated by numerical examples. An optimal credit proportion may not always equal 0 or 1, which implies that an integration of the two credits can benefit the supply chain effectively.
Evaluation on natural disaster relief efficiency of international humanitarian organizations
WANG Fei, LENG Qing, WEI Jiuchang
2019, 49(5): 412-421. doi: 10.3969/j.issn.0253-2778.2019.05.008
International humanitarian organizations (IHOs) are important participants in the process of disaster relief. In recent years, the characteristics of diversification and internationalization of international humanitarian relief have become increasingly obvious. At the same time, however some relief problems have exposed such as the inefficiency of humanitarian relief and the lack of emergency coordination mechanism between organizations. Currently the researches mainly focus on the rescue efficiency evaluation of one IHO, with less attention paid to the relief efficiency of all the IHOs during a natural disaster. Here 86 cases of natural disasters from 2001 to 2016 were selected as samples in which IHOs were the dominant participants. Based on the event system theory the rescue efficiency evaluation index system was proposed. Super efficiency DEA model (super-SBM) was used to measure the efficiency. A comparison of all disaster samples shows that the rescue efficiency varies greatly in terms of time, space and different types of disasters. In the perspective of the external environment of affected countries about disaster relief, the influence factors in IHOs rescue efficiency was studied from three dimensions of the affected countries’ political, cultural and geographical position. Suggestions was made about improving the natural disasters relief efficiency of IHOs from three aspects about the material rescue system, choice of humanitarian aid and humanitarian information network.
A multi-criteria decision method based on probability superiority relation of interval numbers
2019, 49(5): 422-429. doi: 10.3969/j.issn.0253-2778.2019.05.009
To solve the problem of uncertain multi-criteria decision-making in which the characteristic attribute is interval number and the attribute weight is completely unknown, a new decision method was proposed based on theories of probability superiority relationship. The basic principle for relationship between interval number and superiority was given, the degree of comparative advantage was defined, and the attribute of interval number was represented by the probability superiority relationship. By constructing evaluation matrix, the problem of ordering decision plans was converted into a matrix operation process. The ranking of different candidate schemes has been realized. An analysis of the example shows that the method can make full use of interval number information, overcome the limitation of traditional decision-making methods effectively, and have advantages of objective and reasonable ordering and high decision precision.