Research On Path Planning And Water Resource Allocation Problem Based On Heuristic Algorithms

Route planning and resource allocation are two related problems that both aim to achieve certain goals by effectively utilizing limited resources.In real-life production and living,optimization objectives are usually set when planning routes or allocating resources,and optimization is used to save costs or improve resource utilization.Route planning in practical scenarios usually involves finding one or more paths that meet specific objectives and constraints under specified environments or conditions.These routes may be the shortest,most economical,or safest.Resource allocation is to maximize benefits by rationally allocating and utilizing limited resources.The allocation scheme will affect the outcome from aspects such as cost and benefit.Route planning and resource allocation problems usually involve multiple objectives,constraints and decision variables,and often have high nonlinearity,complexity and uncertainty.These problems have a variety of application scenarios in fields such as transportation,logistics,tourism,power and so on.However,traditional mathematical programming methods often struggle to solve these problems effectively due to their size and difficulty of solution.Therefore,heuristic algorithms as a flexible,efficient and easy-to-implement method can provide an effective solution strategy for route planning and resource allocation problems.Heuristic algorithms allow the design of appropriate search strategies based on the characteristics of the problem.Heuristic information is used to guide the search process to avoid getting stuck in a local optimum and to obtain a better or near-optimal solution in a limited amount of time.Although they cannot give the optimal solution of the problem like exact algorithms do,they can efficiently give satisfactory solutions for large-scale application problems.They have become an important means and tool for solving problems in various fields.Therefore,studying route planning and resource allocation problems based on heuristic algorithms is a very meaningful research topic.DNA computing and slime mould algorithm are heuristic algorithms based on biomolecules or biological behaviors.DNA computing is a heuristic algorithm with parallel computing mode developed based on DNA molecular structure and characteristics.Parallel capability,huge storage capacity and low energy consumption are the advantages of DNA computing,which makes DNA computing have great advantages in solving NP problems.Slime mould algorithm is a search algorithm based on slime mould foraging behavior,which has fast convergence speed and strong optimization ability.This study starts from the variant problem of TSP and regional water resources allocation,and studies the route planning and water resources allocation problem based on these two heuristic algorithms.The main work contents are as follows:Firstly,a DNA algorithm based on DNA computing is introduced to solve the family traveling salesman problem.The family traveling salesman problem is a variant of the classical traveling salesman problem,which is related to practical production activities such as logistics route planning and warehouse management.For this problem,to begin with,a coding scheme is designed according to the characteristics of the problem.Next,a DNA algorithm is designed by using biochemical operations in the Adleman-Lipton model and solutions are screened according to the problem conditions.Finally,weight information is added to suitable solutions and sorted to obtain the optimal solution.The practicability of the algorithm isverified by simulation experiments,and the analysis of the algorithm can prove that a family traveling salesman problem with a scale ofcan be solved under(~2)biological operation complexity and(1)test tube space.Second,a DNA algorithm for solving the quota traveling salesman problem based on DNA computing is suggested.The quota travelling salesman problem is another variation of the classic travelling salesman problem.The routing of real-life emergency vehicles is related to this problem.The study of this issue is of immense practical importance.In the solution process,firstly,the problem is coded and the initial solution space is generated.Secondly,a screening DNA algorithm is designed for each condition using the biochemical operations in the Adleman-Lipton model.Finally,the appropriate weight information is added to the appropriate solution and the DNA strands are sorted by length to obtain the optimal solution.The simulation experiments have verified the feasibility of the algorithm,and it can be demonstrated that the problem can be solved under(9)9)+)biological operation complexity and(1)test tube space.Third,the optimal allocation of regional water resources is studied based on the slime mould algorithm.Regional water resources optimal allocation is a procedure for allocating water resources,which distributes different forms of water resources in a region or basin to different users by engineering and non-engineering means.In this process,it is necessary to allocate and dispatch according to the principles of fairness,efficiency and sustainability.This research work develops a multi-objective optimal water allocation model for the study area that includes social,economic and environmental aspects,and uses a slime mould algorithm with fast convergence capabilities to optimise the problem through an exact search method.The planned water allocation scenarios for 2025 and 2030 were obtained experimentally and a supply and demand balance analysis was carried out based on the allocation results.The results show that the total water distribution in 2025 and 2030 is about 323 million cubic meters and 346 million cubic meters respectively,and the water allocation deficit rate is2.90%and 6.95%respectively.From the standpoint of regional development,the amount of available water resources in the study region is still less than the amount of water demand.The water resources optimization scheme provides a reference and guidance for regional water resources allocation.This paper mainly studies the application of DNA computing and slime mould optimization algorithm in optimization problems.DNA computing has a definite advantage in dealing with NP problems.Therefore,we choose a variant of the classical travelling salesman problem from the combinatorial optimization problem as the object of investigation and propose a DNA algorithm to solve this variant of the problem.Meanwhile,the recently proposed sticky bacterium algorithm has fast convergence capability and exact search capability.We try to apply it to system optimization problems and realize its application in regional water resources optimal allocation problem.This research work explores the optimization ability of heuristic algorithm in route planning and water resources allocation problems,which has important practical significance for solving various problems and actual production and life.