An Immune-Inspired Approach with Interval Allocation in Solving Multimodal Multi-Objective Optimization Problems with Local Pareto Sets

In practical engineering,multi-objective optimization often encounters situations where multiple Pareto sets(PS)in the decision space correspond to the same Pareto front(PF)in the objective space,known as Multi-Modal Multi-Objective Optimization Problems(MMOP).Locating multiple equivalent global PSs poses a significant challenge in real-world applications,especially considering the existence of local PSs.Effectively identifying and locating both global and local PSs is a major challenge.To tackle this issue,we introduce an immune-inspired reproduction strategy designed to produce more offspring in less crowded,promising regions and regulate the number of offspring in areas that have been thoroughly explored.This approach achieves a balanced trade-off between exploration and exploitation.Furthermore,we present an interval allocation strategy that adaptively assigns fitness levels to each antibody.This strategy ensures a broader survival margin for solutions in their initial stages and progressively amplifies the differences in individual fitness values as the population matures,thus fostering better population convergence.Additionally,we incorporate a multi-population mechanism that precisely manages each subpopulation through the interval allocation strategy,ensuring the preservation of both global and local PSs.Experimental results on 21 test problems,encompassing both global and local PSs,are compared with eight state-of-the-art multimodal multi-objective optimization algorithms.The results demonstrate the effectiveness of our proposed algorithm in simultaneously identifying global Pareto sets and locally high-quality PSs.

Effects of Different Phosphorus Application Rate on the Growth and Development, Yield and Quality of Tobacco in Yongzhou Area

In order to explore the optimal phosphorus application rate of tobacco in Yongzhou area and provide scientific basis for the rational application of phosphorus fertilizer in tobacco production,field plot experiments with 4 phosphorus application rates were conducted to study the effects of different phosphorus application rate on the growth period,agronomic characters and economic characters of tobacco.The results showed that when the nitrogen fertilizer,phosphorus fertilizer and potassium fertilizer was 135,135 and 418.5 kg/hm2,respectively,namely the ratio of 1∶1∶3.1,the field growth period was the shortest,only 107 d;the agronomic characters and physical indexes showed good results in their performance;the ratio of superior tobacco leaves,average price and output value were 49.36%、26.04 yuan/kg and 56064.12 yuan/hm2 respectively,significantly higher than that of other treatments.Therefore,the suitable phosphorus application in Yongzhou tobacco area was 135 kg/hm2.In conclusion,rational phosphorus application rate was conducive to accelerating the growth and development of tobacco plant and early harvest;it could also effectively increase the output value and yield of tobacco leaves and was more conducive to the formation of high-quality tobacco leaves.

AFLP分析唐古特大黄、掌叶大黄和药用大黄的亲缘关系研究

目的研究《中国药典》2005年版收载蓼科大黄属3种大黄(唐古特大黄、掌叶大黄和药用大黄)的亲缘关系。方法对3种大黄44份样品进行AFLP分析,同时利用NTSYSpc-2.11F软件分析其亲缘关系。结果8对选择性扩增引物中,扩增得到1 255条稳定清晰的条带,其中多态性条带1 209条,多态性带占总带数的96.2%。将44份大黄样品分为2组2个亚组。四川若尔盖唐古特大黄聚为第一组,第二组分为两个亚组,分别为药用大黄和掌叶大黄。另外,大黄的AFLP分子标记谱带显示,3种大黄和不同来源的大黄样品间除了具有共有带外,还有一些特异带,说明种间甚至不同来源的样品间有一定程度的特异性。结论《中国药典》规定的3种正品大黄中,药用大黄和掌叶大黄亲缘关系较唐古特大黄近,表明利用AFLP技术分析3种大黄的亲缘关系可行。