This paper mainly investigates the semicontinuity of solution mappings for set optimization problems under a partial order set relation instead of upper and lower set less order relations. To this end, we propose two ...This paper mainly investigates the semicontinuity of solution mappings for set optimization problems under a partial order set relation instead of upper and lower set less order relations. To this end, we propose two types of monotonicity definition for the set-valued mapping introduced by two nonlinear scalarization functions which are presented by these partial order relations. Then, we give some sufficient conditions for the semicontinuity and closedness of solution mappings for parametric set optimization problems. The results presented in this paper are new and extend the main results given by some authors in the literature.展开更多
In this paper,under some suitable assumptions without any involving information on the solution set,we give some sufficient conditions for the upper semicontinuity,lower semicontinuity,and closedness of the solution s...In this paper,under some suitable assumptions without any involving information on the solution set,we give some sufficient conditions for the upper semicontinuity,lower semicontinuity,and closedness of the solution set mapping to a parametric set optimization problem with possible less order relation.展开更多
Compared with traditional convection air conditioning,the radiant cooling(RC)system has higher energy-saving potential and better comfort.At present,the particle swarm optimization(PSO)algorithm is one of the most adv...Compared with traditional convection air conditioning,the radiant cooling(RC)system has higher energy-saving potential and better comfort.At present,the particle swarm optimization(PSO)algorithm is one of the most advanced methods to optimize the design of indoor radiant terminals.However,this method requires to discretize the design domain in advance.If the geometric division is rough,the accuracy of the optimized results will be too low.To improve the accuracy of the calculation results,the geometric division needs to be refined,but it will greatly increase the calculation load.For each new geometric model,users need to determine a reasonable geometric division every time,which is very time consuming.To solve that problem,this investigation proposed a parameterized level set method(PLSM)to inversely design the area,shape,and locations of the radiant terminal.It not only does not need to discretize the design domain in advance,but also can realize the continuous topological change of the radiant terminal region.The results show that the PLSM can realize the continuous topological transformation of geometric shapes,and the final result of the average absolute value of PMV(∣PMV∣avg)around the occupants achieved 0.066.To enhance the practical application of the optimized results,K-means cluster analysis is used to regularize the shape of the radiation terminal region.The corresponding average∣PMV∣around the occupants is 0.102,which is also within an acceptable range.All in all,PLSM can be used to inversely design the RC systems,which provides an effective design method for realizing accurate control of the indoor environment using the RC systems.展开更多
We calculate jet productions in p＋Au collisions at the RHIC at next-to-leading order with perturbative QCD. Inclusive jet transverse energy spectrum, dijet invariant mass spectrum, dijet angular distribution, and cor...We calculate jet productions in p＋Au collisions at the RHIC at next-to-leading order with perturbative QCD. Inclusive jet transverse energy spectrum, dijet invariant mass spectrum, dijet angular distribution, and corresponding nuclear modification factors for the three observables in p＋Au collisions at √s=200 GeV are given, where the initial-state cold nuclear matter （CNM） effects are included by taking advantage of four parametrization sets of nuclear parton distribution functions （nPDFs） - EPS, nCTEQ, HKN and DS. We demonstrate that inclusive jet transverse energy （ET） spectrum, dijet invariant mass （MJJ） spectrum with all 4 nPDFs are increased at low ET or MJJ, whereas at high ET or MJJ large deviation of results with different nPDFs is observed. It is found that the dijet angular distributions in p＋Au collisions do not vary relative to those in p＋p collisions for all 4 nPDFs.展开更多
文摘This paper mainly investigates the semicontinuity of solution mappings for set optimization problems under a partial order set relation instead of upper and lower set less order relations. To this end, we propose two types of monotonicity definition for the set-valued mapping introduced by two nonlinear scalarization functions which are presented by these partial order relations. Then, we give some sufficient conditions for the semicontinuity and closedness of solution mappings for parametric set optimization problems. The results presented in this paper are new and extend the main results given by some authors in the literature.
基金the National Natural Science Foundation of China(No.11426055)the Science and Technology Research Project of Chongqing Municipal Education Commission(No.KJ1500419)+1 种基金the Basic and Advanced Research Project of Chongqing Science and Technology Commission(No.cstc2014jcyjA00044)the Doctor Start-up Foundation of Chongqing University of Posts and Telecommunications(No.A2014-15).
文摘In this paper,under some suitable assumptions without any involving information on the solution set,we give some sufficient conditions for the upper semicontinuity,lower semicontinuity,and closedness of the solution set mapping to a parametric set optimization problem with possible less order relation.
基金supported by the National Natural Science Foundation of China(NSFC)through Grant No.52208098by the China Postdoctoral Science Foundation through Grant No.2022M710689by Jiangsu Planned Projects for Postdoctoral Research Funds through Grant No.2021K069A.
文摘Compared with traditional convection air conditioning,the radiant cooling(RC)system has higher energy-saving potential and better comfort.At present,the particle swarm optimization(PSO)algorithm is one of the most advanced methods to optimize the design of indoor radiant terminals.However,this method requires to discretize the design domain in advance.If the geometric division is rough,the accuracy of the optimized results will be too low.To improve the accuracy of the calculation results,the geometric division needs to be refined,but it will greatly increase the calculation load.For each new geometric model,users need to determine a reasonable geometric division every time,which is very time consuming.To solve that problem,this investigation proposed a parameterized level set method(PLSM)to inversely design the area,shape,and locations of the radiant terminal.It not only does not need to discretize the design domain in advance,but also can realize the continuous topological change of the radiant terminal region.The results show that the PLSM can realize the continuous topological transformation of geometric shapes,and the final result of the average absolute value of PMV(∣PMV∣avg)around the occupants achieved 0.066.To enhance the practical application of the optimized results,K-means cluster analysis is used to regularize the shape of the radiation terminal region.The corresponding average∣PMV∣around the occupants is 0.102,which is also within an acceptable range.All in all,PLSM can be used to inversely design the RC systems,which provides an effective design method for realizing accurate control of the indoor environment using the RC systems.
基金Supported by Ministry of Education of China(NCET-09-0411)National Natural Science Foundation of China(11075062, 10825523,10875052)+3 种基金MOST of China(2008CB317106)NSF of Hubei Province(2010CDA075)MOE and SAFEA of China (PITDU-B08033)CCNU(CCNU11C01001,QLPL2011P01)
文摘We calculate jet productions in p＋Au collisions at the RHIC at next-to-leading order with perturbative QCD. Inclusive jet transverse energy spectrum, dijet invariant mass spectrum, dijet angular distribution, and corresponding nuclear modification factors for the three observables in p＋Au collisions at √s=200 GeV are given, where the initial-state cold nuclear matter （CNM） effects are included by taking advantage of four parametrization sets of nuclear parton distribution functions （nPDFs） - EPS, nCTEQ, HKN and DS. We demonstrate that inclusive jet transverse energy （ET） spectrum, dijet invariant mass （MJJ） spectrum with all 4 nPDFs are increased at low ET or MJJ, whereas at high ET or MJJ large deviation of results with different nPDFs is observed. It is found that the dijet angular distributions in p＋Au collisions do not vary relative to those in p＋p collisions for all 4 nPDFs.
