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CN102256260B - Method for configuring independent resources based on resource flow - Google Patents

Method for configuring independent resources based on resource flow Download PDF

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CN102256260B
CN102256260B CN 201110179932 CN201110179932A CN102256260B CN 102256260 B CN102256260 B CN 102256260B CN 201110179932 CN201110179932 CN 201110179932 CN 201110179932 A CN201110179932 A CN 201110179932A CN 102256260 B CN102256260 B CN 102256260B
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CN102256260A (en
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杨春刚
李建东
刘勤
盛敏
李红艳
李维英
闫继磊
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Xidian University
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Abstract

The invention discloses a method for configuring independent resources based on s resource flow in the field of wireless communication resource management control. Regarding the problems of low convergence speed and various resource treating unsuitability in the prior art, a resource configuring method with higher convergence speed of various resources, suitable for treating a wireless communication system, is provided. In the method, a concept based on the resource flow in the wireless communication system is adopted, requests of multiple users to resources are planned to be changes of spatial intensity of a resource field, and the resource configuration realized based on the resource flow does not require interaction. Meanwhile, a closed-form solution of an optimal resource configuration strategy is deduced, so that high-efficiency independent resource configuration is realized to ensure the existence and the optimality of an optimal solution. The problem of more interaction times and the problems that the existence, the optimality and the like of the optimal solution cannot be ensured in the prior art are solved, and the high-efficiency independent resource configuration is realized to ensure the existence and the optimality of the optimal solution.

Description

基于资源流的自主资源配置方法Autonomous Resource Allocation Method Based on Resource Flow

技术领域 technical field

本发明属于通信技术领域,更进一步涉及一种无线通信资源管理控制领域中的基于资源流的自主资源配置方法。该方法可以实现无线通信系统中多种多维资源高效动态自主配置,有效提升无线通信系统中的资源利用率。The invention belongs to the field of communication technology, and further relates to a resource flow-based autonomous resource configuration method in the field of wireless communication resource management and control. The method can realize efficient dynamic autonomous configuration of multiple multi-dimensional resources in the wireless communication system, and effectively improve resource utilization in the wireless communication system.

背景技术 Background technique

资源的管理和控制已经成为决定当前无线通信系统性能的关键技术之一,它通过对于资源的高效配置有效保证多用户的服务质量需求,并有效改善资源利用效率。在当前异构网络高度融合发展的环境下,如何实现各种资源的高效利用无论是对于运营商进一步减少运营和维护开销,从而提高运营商资源的经济收益,还是满足越来越高的多种传输速率业务需求都具有严重挑战。Resource management and control has become one of the key technologies that determine the performance of current wireless communication systems. It effectively ensures the service quality requirements of multiple users through efficient allocation of resources, and effectively improves resource utilization efficiency. In the current environment where heterogeneous networks are highly converged and developed, how to achieve efficient utilization of various resources, whether it is for operators to further reduce operation and Both transmission rate and business requirements have serious challenges.

现有无线网络正经历巨大发展,各种形式的网络层出不穷,在同一地理区域出现多种网络覆盖的场景,资源的有效配置对于提升用户体验和无线通信系统性能具有决定性的作用。目前在动态资源管理和分配技术方面,基本包含如下几个技术:基于优化技术的动态资源管理技术,采用学习算法的资源自适应分配技术和基于博弈论而提出的非合作资源分配方法。在当前异构网络环境中和资源高度多样化的背景下,上述三种技术方法分别基于优化,学习和博弈论实现资源配置。Existing wireless networks are undergoing tremendous development. Various forms of networks are emerging one after another. Multiple network coverage scenarios appear in the same geographical area. Effective allocation of resources plays a decisive role in improving user experience and wireless communication system performance. At present, in terms of dynamic resource management and allocation technology, it basically includes the following technologies: dynamic resource management technology based on optimization technology, resource adaptive allocation technology using learning algorithm and non-cooperative resource allocation method based on game theory. In the current heterogeneous network environment and the background of highly diversified resources, the above three technical methods are based on optimization, learning and game theory to realize resource allocation.

清华大学的专利申请文件“功率分配、信道分配与中继节点选择的联合优化方法”(公开号CN 101483911A,申请号200910077817.8,申请日2009.1.22)中公开了一种实现功率,信道和中继节点等资源的联合优化方法。该方法采用功率分配与信道分配迭代的方法来实现功率分配和信道分配的联合优化。该方法存在的不足是收敛速度较慢、不适合处理更多不同资源分配。同时,基于优化技术的资源管理和分配方法不能适应目前网络环境下资源动态配置和自主配置的需求。Tsinghua University's patent application document "Joint Optimization Method for Power Allocation, Channel Allocation and Relay Node Selection" (public number CN 101483911A, application number 200910077817.8, application date 2009.1.22) discloses a method for realizing power, channel and relay node selection. A joint optimization method for resources such as nodes. The method adopts the iterative method of power allocation and channel allocation to realize the joint optimization of power allocation and channel allocation. The disadvantage of this method is that the convergence speed is slow and it is not suitable for dealing with more different resource allocations. At the same time, resource management and allocation methods based on optimization techniques cannot meet the needs of dynamic and autonomous allocation of resources in the current network environment.

北京邮电大学的专利申请文件“基于强化学习的自主联合无线资源管理系统和方法”(公开号CN 101132363A,申请号200710120182.6,申请日2007.8.10)中公开了一种基于强化学习的自主联合无线资源管理系统和方法。该方法可重配置移动终端发起信道请求,无线重配置支持功能模块收集本地无线资源管理器信息,根据各种网络性能参数指标采用强化学习方法进行“试错”交互,依照相应的判定准则,决定是否立即接纳新会话。该方法相对传统的基于优化的资源配置方案,强化学习是一种具有自主学习能力的“试错”的在线学习技术。学习者通过与环境不断交互获得学习经验,进而逐步改进其行为策略。强化学习具有一定的灵活性和自适应性。但是,该方法存在的不足是,强化学习技术一般要求学习者与环境之间的交互次数较多,因此,不能保证时变的无线数据业务和动态的无线信道衰落等场景下的实时性的要求。The patent application document of Beijing University of Posts and Telecommunications "Autonomous Joint Wireless Resource Management System and Method Based on Reinforcement Learning" (publication number CN 101132363A, application number 200710120182.6, application date 2007.8.10) discloses an autonomous joint wireless resource based on reinforcement learning Management systems and methods. This method can reconfigure the mobile terminal to initiate a channel request, and the wireless reconfiguration support function module collects the information of the local wireless resource manager, uses the reinforcement learning method to perform "trial and error" interaction according to various network performance parameter indicators, and decides according to the corresponding judgment criteria Whether to admit new sessions immediately. Compared with the traditional optimization-based resource allocation scheme, reinforcement learning is a "trial and error" online learning technology with autonomous learning ability. Learners gain learning experience through continuous interaction with the environment, and then gradually improve their behavior strategies. Reinforcement learning has certain flexibility and adaptability. However, the disadvantage of this method is that reinforcement learning technology generally requires a large number of interactions between the learner and the environment, so it cannot guarantee the real-time requirements in scenarios such as time-varying wireless data services and dynamic wireless channel fading. .

南京邮电大学的专利申请文件“认知无线电技术中基于归一化博弈模型的功率控制方法”(公开号CN 101359941A,申请号200810195893.4,申请日2008.9.12)中公开了一种基于非合作博弈论提出功率控制方法,该方法是一种特别用于认知无线电中发送端功率控制的实现方案。该方法存在的不足是,在基于博弈论的设计过程中,效用函数设计是影响功率控制方法设计和最终性能的关键因素之一,对于提出博弈模型的均衡解的存在性和最优性等具有严重影响。另外,在具体的博弈功率控制过程中需要求解一阶偏导数,计算复杂。同样不能满足自主配置的要求。The patent application document of Nanjing University of Posts and Telecommunications "Power Control Method Based on Normalized Game Model in Cognitive Radio Technology" (publication number CN 101359941A, application number 200810195893.4, application date 2008.9.12) discloses a non-cooperative game theory based A power control method is proposed, which is an implementation scheme especially for power control of the transmitter in cognitive radio. The disadvantage of this method is that in the design process based on game theory, the utility function design is one of the key factors affecting the design and final performance of the power control method. Serious impact. In addition, in the specific game power control process, the first-order partial derivative needs to be solved, and the calculation is complicated. It also cannot meet the requirements of self-configuration.

发明内容 Contents of the invention

本发明的目的在于克服现有技术的不足,提出一种基于资源流的自主资源配置的方法,该方法通过资源流刻画多种通信场景下的多维资源实现资源的自主配置和自我管控。The purpose of the present invention is to overcome the deficiencies of the prior art, and propose a method for autonomous resource configuration based on resource flow, which realizes autonomous resource configuration and self-management by describing multi-dimensional resources in various communication scenarios through resource flow.

本发明实现上述目的的具体思路是,首先依据基站的资源总量计算资源空间初始强度;然后,实现基于资源流最优配置。考虑异构通信网络环境,安装在异构通信网络的基站负责构建、管理和维护资源流以实现资源的高效配置和利用。不考虑资源流在运行管理过程中的资源耗散,且用户的资源请求导致资源流的幅度衰减而不影响其方向。The specific idea of the present invention to achieve the above object is to firstly calculate the initial strength of the resource space according to the total amount of resources of the base station; then, realize the optimal allocation based on the resource flow. Considering the heterogeneous communication network environment, base stations installed in the heterogeneous communication network are responsible for constructing, managing and maintaining resource flows to achieve efficient allocation and utilization of resources. The resource dissipation of the resource flow in the process of operation and management is not considered, and the user's resource request causes the amplitude of the resource flow to attenuate without affecting its direction.

本发明实现上述目的的具体步骤如下:The concrete steps that the present invention realizes above-mentioned object are as follows:

(1)基站更新邻居列表(1) The base station updates the neighbor list

基站开机后,根据初始化基站分布,确定资源流补给列表和资源流请求列表;After the base station is turned on, determine the resource flow supply list and the resource flow request list according to the distribution of the initialized base station;

(2)确定资源总量(2) Determine the total amount of resources

2a)基站由资源流补给和请求列表分别确定资源补给和资源支出总量;2a) The base station determines the total amount of resource supply and resource expenditure respectively from the resource flow supply and request list;

2b)基站由服务用户总数计算当前用户的资源请求总量;2b) The base station calculates the total amount of resource requests of the current user from the total number of service users;

2c)基站由资源补给、支出和用户资源请求总量,三者求和计算当前基站的净资源总量;2c) The base station calculates the total net resources of the current base station by summing the total amount of resource supply, expenditure, and user resource requests;

(3)根据资源总量和距离基站位置等信息,计算资源空间各点初始强度。(3) Calculate the initial intensity of each point in the resource space according to the total amount of resources and the distance from the base station.

(4)判断基站是否运动,如果有基站运动,转至步骤(1),否则,执行下列步骤;(4) Determine whether the base station is in motion, if there is a base station in motion, go to step (1), otherwise, perform the following steps;

(5)判断是否存在新用户到达,如果有新用户到达,转至步骤2c),否则,执行下列步骤;(5) Judging whether there is a new user arrival, if there is a new user arrival, go to step 2c), otherwise, perform the following steps;

(6)根据资源空间点处感受到微小面积中的平均资源场强度,计算资源空间点总强度;(6) Calculate the total strength of the resource space point according to the average resource field strength in the small area felt at the resource space point;

(7)根据基站资源上限、资源空间点处的资源场总强度及其相对于某一方向的偏导数函数等,计算最优权重函数;(7) According to the resource upper limit of the base station, the total strength of the resource field at the resource space point and its partial derivative function relative to a certain direction, etc., calculate the optimal weight function;

(8)根据最优权重函数和当前基站具有的资源总量,计算最优资源场强度;(8) Calculate the optimal resource field strength according to the optimal weight function and the total amount of resources that the current base station has;

(9)根据最优资源场强度,实现资源流最优配置;(9) According to the optimal resource field strength, realize the optimal allocation of resource flow;

(10)结束。(10) END.

本发明与现有技术相比具有以下优点:Compared with the prior art, the present invention has the following advantages:

第一,本发明针对现有技术中收敛速度较慢、不适合处理多种资源分配问题,提供一种适合于处理无线通信系统的多种资源收敛速度较快的资源配置方法。First, the present invention provides a resource allocation method suitable for dealing with multiple resources in a wireless communication system with a fast convergence speed, aiming at the problem of slow convergence speed and unsuitability for dealing with multiple resource allocations in the prior art.

第二,本发明针对现有技术中交互次数较多问题,采用基于无线通信系统中资源流的概念,将多用户对于资源的请求规划为资源场空间强度本身的变化,基于资源流实现资源配置,无需交互。Second, the present invention aims at the problem of many interactions in the prior art, adopts the concept of resource flow based on the wireless communication system, plans multi-user requests for resources as changes in the spatial intensity of the resource field itself, and implements resource allocation based on resource flow , without interaction.

第三,本发明从全局系统出发,针对现有技术中不能保证最优解的存在性和最优性问题,推导出最优资源配置策略的闭式解,实现资源高效自主配置保证最优解存在性和最优性。Thirdly, the present invention starts from the global system, and aims at the problem that the existence and optimality of the optimal solution cannot be guaranteed in the prior art, and derives the closed-form solution of the optimal resource allocation strategy, so as to realize the efficient and autonomous allocation of resources to ensure the optimal solution existence and optimality.

附图说明 Description of drawings

图1为本发明的流程图;Fig. 1 is a flowchart of the present invention;

图2为本发明完成资源场空间构建的效果图;Fig. 2 is the effect drawing that the present invention completes the resource field space construction;

图3为本发明实现资源自主高效配置的效果图。Fig. 3 is an effect diagram of the present invention realizing independent and efficient allocation of resources.

具体实施方式:Detailed ways:

本发明考虑异构通信网络环境,安装在异构通信网络的基站负责构建、管理和维护资源流以实现资源的高效配置和利用。不考虑资源流在运行管理过程中的资源耗散,且用户的资源请求导致资源流的幅度衰减而不影响其方向。The present invention considers the heterogeneous communication network environment, and the base station installed in the heterogeneous communication network is responsible for constructing, managing and maintaining the resource flow to realize efficient configuration and utilization of resources. The resource dissipation of the resource flow in the process of operation and management is not considered, and the user's resource request causes the amplitude of the resource flow to attenuate without affecting its direction.

下面结合附图1对本发明做进一步的描述。The present invention will be further described below in conjunction with accompanying drawing 1.

步骤1,基站更新邻居列表Step 1, the base station updates the neighbor list

基站开机后,根据初始化基站分布,确定资源流补给列表和资源流请求列表。After the base station is turned on, the resource flow supply list and the resource flow request list are determined according to the distribution of the initialized base stations.

步骤2,基站确定资源总量Step 2, the base station determines the total amount of resources

2a)基站由资源流补给和请求列表,确定相应的资源补给和资源支出总量。2a) The base station determines the corresponding total amount of resource supply and resource expenditure from the resource flow supply and request lists.

2b)基站由服务用户总数,计算当前用户的资源请求总量。2b) The base station calculates the total amount of resource requests of the current user from the total number of service users.

2c)基站由资源补给,资源支出和用户资源请求总量,计算当前基站的净资源总量。2c) The base station calculates the total amount of net resources of the current base station from the total amount of resource replenishment, resource expenditure, and user resource requests.

步骤3,计算资源空间初始强度Step 3, calculate the initial strength of the resource space

基站按照下列公式计算资源空间点的初始强度The base station calculates the initial intensity of the resource space point according to the following formula

EE. ii == -- ▿▿ {{ Mm // κκ dd ii }}

其中,Ei是距离基站距离为di资源空间点强度,

Figure BSA00000526807000042
表示梯度运算符号,M是当前基站的净资源矢量,κ是常数。Among them, E i is the intensity of the resource space point with a distance of d i from the base station,
Figure BSA00000526807000042
Indicates the sign of the gradient operation, M is the net resource vector of the current base station, and κ is a constant.

步骤4,判断基站是否运动。如果有基站运动,转至步骤(1),否则,执行下列步骤;Step 4, judging whether the base station is moving. If there is base station movement, go to step (1), otherwise, perform the following steps;

步骤5,判断是否存在新用户到达。如果有新用户到达,转至步骤2c),否则,执行下列步骤;Step 5, judging whether there is a new user arrival. If a new user arrives, go to step 2c), otherwise, perform the following steps;

步骤6,计算资源空间点总强度Step 6, calculate the total intensity of resource space points

按照下列公式计算资源空间点资源场总强度Calculate the total strength of the resource field of the resource space point according to the following formula

Figure BSA00000526807000043
Figure BSA00000526807000043

其中,

Figure BSA00000526807000044
是资源空间点di处的资源场总强度,E′i是空间点i感受到的来自不同基站的资源场平均强度,
Figure BSA00000526807000045
是微小面积。in,
Figure BSA00000526807000044
is the total strength of the resource field at the resource space point d i , E′ i is the average strength of the resource field from different base stations felt by the space point i,
Figure BSA00000526807000045
is a small area.

步骤7,计算最优权重函数Step 7, calculate the optimal weight function

基站按照下列公式计算最优权重函数The base station calculates the optimal weight function according to the following formula

ωω dd ii == ∂∂ SS dd ii ∂∂ EE. ii 11 (( λλ ii κκ dd ii SS dd ii 22 ++ SS dd ii ))

其中,

Figure BSA00000526807000052
是最优权重函数,
Figure BSA00000526807000053
是资源场总强度
Figure BSA00000526807000054
相对于Ei的偏导数,λi是满足λi(M-Mmax)=o的变量,Mmax为基站资源量上限,
Figure BSA00000526807000055
是资源空间点di处的资源场总强度,κ是常数。in,
Figure BSA00000526807000052
is the optimal weight function,
Figure BSA00000526807000053
is the total strength of the resource field
Figure BSA00000526807000054
Relative to the partial derivative of E i , λ i is a variable that satisfies λ i (MM max )=o, M max is the upper limit of the resource amount of the base station,
Figure BSA00000526807000055
is the total strength of the resource field at point d i in the resource space, and κ is a constant.

步骤8,计算最优资源场强度Step 8, calculate the optimal resource field strength

基站按照下列公式计算在资源空间点di处的最优资源场强度The base station calculates the optimal resource field strength at the resource space point d i according to the following formula

Figure BSA00000526807000056
Figure BSA00000526807000056

其中,

Figure BSA00000526807000057
是资源空间点di处的最优资源场强度,
Figure BSA00000526807000058
最优权重函数,M是基站具有资源总量。in,
Figure BSA00000526807000057
is the optimal resource field strength at point d i in the resource space,
Figure BSA00000526807000058
The optimal weight function, M is the total amount of resources that the base station has.

步骤9,资源流最优配置Step 9, optimal configuration of resource flow

基站按照下列公式计算资源流最优配置策略The base station calculates the optimal resource flow allocation strategy according to the following formula

Figure BSA00000526807000059
Figure BSA00000526807000059

其中,

Figure BSA000005268070000510
是资源流最优配置策略,
Figure BSA000005268070000511
是资源空间点di处的最优资源场强度,更新资源场空间。in,
Figure BSA000005268070000510
is the optimal resource flow allocation strategy,
Figure BSA000005268070000511
is the optimal resource field strength at point d i in the resource space, and updates the resource field space.

步骤10,结束。Step 10, end.

下面结合附图2和附图3对本发明的效果做进一步的描述。The effect of the present invention will be further described in conjunction with accompanying drawings 2 and 3 below.

图2为本发明完成资源场空间构建的效果图,这里给出简单的三个基站的无线通信场景,并假设向三个基站发出资源请求的多用户资源需求总量分别为:50、25、100个单位。采用本发明的方法的前五个步骤实现资源场空间的构建,即计算处资源场空间中各点的资源场场强。在图2的基础上,图3为本发明实现资源自主高效配置的效果图,假设当前向三个基站的多用户资源需求总量发生变化时,本发明方法的自主控制过程示意图。例如,向三个基站的多用户资源需求总量分别变化为:10、8、200个单位时,即向基站3发出的资源请求在初始资源场空间,如图2的基础上请求更多的资源。此时,采用本发明的后五步计算此时资源场空间的最优化场强。理论上,基站1和2的资源会朝着基站3的方向流动,以满足当前多用户对于基站3的过度请求。比较图2和图3发现,当对基站3的资源请求极具增加的时候,相对于图2,图3中资源场空间中各点资源最佳流向偏向基站3,甚至发生资源流方向逆转,因此,基站1和基站2在本发明的方法的控制实现资源流不断向资源量较多的基站3流动,因此实现基于资源流的资源自主高效配置。Fig. 2 is the effect diagram of the space construction of the resource field completed by the present invention, where a simple wireless communication scenario of three base stations is given, and it is assumed that the total resource requirements of multi-users who send resource requests to the three base stations are respectively: 50, 25, 100 units. The first five steps of the method of the present invention are used to realize the construction of the resource field space, that is, to calculate the resource field strength of each point in the resource field space. On the basis of FIG. 2 , FIG. 3 is an effect diagram of realizing autonomous and efficient allocation of resources in the present invention. Assuming that the total amount of multi-user resource requirements to the three base stations changes, the schematic diagram of the autonomous control process of the method of the present invention. For example, when the total amount of multi-user resource requirements to three base stations changes to 10, 8, and 200 units respectively, that is, the resource request sent to base station 3 requests more resources in the initial resource field space, as shown in Figure 2 resource. At this time, the optimal field strength of the resource field space at this time is calculated by using the last five steps of the present invention. Theoretically, the resources of base stations 1 and 2 will flow towards base station 3, so as to satisfy the current excessive requests of multiple users on base station 3. Comparing Figure 2 and Figure 3, it is found that when the resource request for base station 3 is greatly increased, compared with Figure 2, the optimal resource flow direction of each point in the resource field space in Figure 3 is biased towards base station 3, and even the direction of resource flow is reversed. Therefore, the base station 1 and the base station 2 implement the control of the method of the present invention to realize that the resource flow continuously flows to the base station 3 with a large amount of resources, thus realizing autonomous and efficient allocation of resources based on the resource flow.

Claims (1)

1.基于资源流的自主资源配置方法,其步骤包括如下:  1. An autonomous resource allocation method based on resource flow, the steps of which include the following: (1)基站更新邻居列表  (1) The base station updates the neighbor list 基站开机后,根据初始化基站分布,确定资源流补给列表和资源流请求列表;  After the base station is powered on, determine the resource flow supply list and resource flow request list according to the distribution of the initialized base station; (2)确定资源总量  (2) Determine the total amount of resources 2a)基站由资源流补给和请求列表分别确定资源补给和资源支出总量;  2a) The base station determines the total amount of resource supply and resource expenditure respectively from the resource flow supply and request list; 2b)基站由服务用户总数计算当前用户的资源请求总量;  2b) The base station calculates the total amount of resource requests of the current user from the total number of service users; 2c)基站由资源补给、支出和用户资源请求总量三者求和计算当前基站的净资源总量;  2c) The base station calculates the total net resources of the current base station by summing the total amount of resource supply, expenditure and user resource requests; (3)根据资源总量和距离基站位置信息,按照下列公式计算资源空间各点初始强度:  (3) According to the total amount of resources and the location information of the distance from the base station, the initial strength of each point in the resource space is calculated according to the following formula:
Figure FSB00001121160400011
Figure FSB00001121160400011
其中,Ei是距离基站为di资源空间点强度,
Figure FSB00001121160400012
表示梯度运算符号,M是当前基站的净资源矢量,κ是常数; 
Among them, E i is the intensity of the resource space point with a distance of d i from the base station,
Figure FSB00001121160400012
Indicates the gradient operation symbol, M is the net resource vector of the current base station, and κ is a constant;
(4)判断基站是否运动,如果有基站运动,转至步骤(1);否则,执行下列步骤;  (4) Determine whether the base station is moving, if there is a base station moving, go to step (1); otherwise, perform the following steps; (5)判断是否存在新用户到达,如果有新用户到达,转至步骤2c);否则,执行下列步骤;  (5) Judging whether there is a new user arrival, if there is a new user arrival, go to step 2c); otherwise, perform the following steps; (6)根据资源空间点处感受到微小面积中的平均资源场强度,按照下列公式计算资源空间点总强度:  (6) According to the average resource field intensity in the small area felt at the resource space point, the total intensity of the resource space point is calculated according to the following formula: 其中,
Figure FSB00001121160400014
是资源空间点di处的资源场总强度,E′i是空间点i感受到的来自不同基站的资源场平均强度,
Figure FSB00001121160400015
是微小面积; 
in,
Figure FSB00001121160400014
is the total strength of the resource field at the resource space point d i , E′ i is the average strength of the resource field from different base stations felt by the space point i,
Figure FSB00001121160400015
is a small area;
(7)根据基站资源上限、资源空间点处的资源场总强度及其相对于某一方向的偏导数函数,按照下列公式计算最优权重函数:  (7) According to the resource upper limit of the base station, the total strength of the resource field at the resource space point and its partial derivative function relative to a certain direction, the optimal weight function is calculated according to the following formula:
Figure FSB00001121160400021
Figure FSB00001121160400021
其中,
Figure FSB00001121160400022
是最优权重函数,是资源场总强度
Figure FSB00001121160400024
相对于Ei的偏导数,Ei是距离基站为di资源空间点强度,λi是满足λi(M-Mmax)=o的变量,Mmax为基站资源量上限,
Figure FSB00001121160400025
是资源空间点di处的资源场总强度,κ是常数; 
in,
Figure FSB00001121160400022
is the optimal weight function, is the total strength of the resource field
Figure FSB00001121160400024
Relative to the partial derivative of E i , E i is the strength of the resource space point at a distance of d i from the base station, λ i is a variable satisfying λ i (MM max )=o, M max is the upper limit of the resource amount of the base station,
Figure FSB00001121160400025
is the total strength of the resource field at point d i in the resource space, and κ is a constant;
(8)根据最优权重函数和当前基站具有的资源总量,按照下列公式计算在资源空间点di处的最优资源场强度:  (8) According to the optimal weight function and the total resources of the current base station, calculate the optimal resource field strength at the resource space point d i according to the following formula:
Figure FSB00001121160400026
Figure FSB00001121160400026
其中,
Figure FSB00001121160400027
是资源空间点di处的最优资源场强度,
Figure FSB00001121160400028
最优权重函数,ln是自然对数符号,M是基站具有资源总量; 
in,
Figure FSB00001121160400027
is the optimal resource field strength at point d i in the resource space,
Figure FSB00001121160400028
The optimal weight function, ln is the natural logarithm symbol, M is the total amount of resources of the base station;
(9)根据最优资源场强度,按照下列公式计算资源流最优配置策略:  (9) According to the optimal resource field strength, calculate the optimal resource flow allocation strategy according to the following formula:
Figure FSB00001121160400029
Figure FSB00001121160400029
其中,
Figure FSB000011211604000210
是资源流最优配置策略,
Figure FSB000011211604000211
是资源空间点di处的最优资源场强度; 
in,
Figure FSB000011211604000210
is the optimal resource flow allocation strategy,
Figure FSB000011211604000211
is the optimal resource field strength at the resource space point d i ;
(10)结束。  (10) END. the
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