CN111787618A - Energy consumption optimization resource allocation method for combining energy acquisition in edge calculation - Google Patents
Energy consumption optimization resource allocation method for combining energy acquisition in edge calculation Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W72/00—Local resource management
- H04W72/04—Wireless resource allocation
- H04W72/044—Wireless resource allocation based on the type of the allocated resource
- H04W72/0473—Wireless resource allocation based on the type of the allocated resource the resource being transmission power
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L67/00—Network arrangements or protocols for supporting network services or applications
- H04L67/01—Protocols
- H04L67/10—Protocols in which an application is distributed across nodes in the network
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L67/00—Network arrangements or protocols for supporting network services or applications
- H04L67/01—Protocols
- H04L67/10—Protocols in which an application is distributed across nodes in the network
- H04L67/1001—Protocols in which an application is distributed across nodes in the network for accessing one among a plurality of replicated servers
- H04L67/1004—Server selection for load balancing
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W72/00—Local resource management
- H04W72/04—Wireless resource allocation
- H04W72/044—Wireless resource allocation based on the type of the allocated resource
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W72/00—Local resource management
- H04W72/50—Allocation or scheduling criteria for wireless resources
- H04W72/53—Allocation or scheduling criteria for wireless resources based on regulatory allocation policies
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W72/00—Local resource management
- H04W72/50—Allocation or scheduling criteria for wireless resources
- H04W72/54—Allocation or scheduling criteria for wireless resources based on quality criteria
- H04W72/543—Allocation or scheduling criteria for wireless resources based on quality criteria based on requested quality, e.g. QoS
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Abstract
The invention discloses an energy consumption optimization resource allocation method for combining energy acquisition in edge calculation. The method mainly comprises the following steps: 1. and constructing a mathematical model of energy consumption optimization resource allocation combined with energy acquisition in edge calculation. 2. And constructing a Lagrangian function for the constructed mathematical model. 3. And solving the time and the charging power of the edge server for charging the mobile terminal equipment. 4. And solving the CPU frequency distributed by the end user and the CPU frequency distributed by the edge server. 5. And solving the transmission power from the terminal equipment to the edge server. 6. And solving an unloading decision variable unloaded from the task of the end user to the edge server. 7. And solving the energy consumption optimization resource allocation problem obtained by combining energy based on a gradient descent method. By applying the method and the device, the optimization problems of unloading decision combining energy acquisition, energy acquisition time, charging power distribution, transmission power distribution and CPU frequency distribution in edge calculation are solved, and the energy consumption of all tasks can be minimized.
Description
Technical Field
The invention belongs to the technical field of mobile edge calculation, and relates to an energy consumption optimization resource allocation method for joint energy acquisition in edge calculation.
Background
A Mobile Edge Computing Network (MECN) that combines Energy Harvesting (EH) technology is a Mobile edge computing network that incorporates Energy harvesting technology. The MECN is used as a 5G next-generation broadband access system, and the EH is applied to the MECN to solve the problems of limited battery capacity and insufficient resources at the mobile equipment end. Compared with a typical mobile cloud computing network, a mobile terminal user can migrate an application to the edge cloud end for processing to reduce larger energy consumption generated by unloading a task to a cloud server, and the defects of weak computer capability and small storage space of the mobile terminal are overcome, and the service experience quality of the user is greatly improved. The EH is applied to the MECN, so that the problem of limited capacity of the end battery of the mobile equipment can be effectively solved, and the pressure of the mobile terminal equipment is reduced.
The invention researches the problem of energy consumption minimization resource allocation of combined EH in MECN, considers energy acquisition constraint and executes time delay constraint by local and edge servers, and performs combined optimization on unloading decision, transmission power and CPU frequency of a mobile terminal device end, charging power and CPU frequency of a mobile edge server and energy acquisition time. After reviewing the relevant literature, no research on the problem in MECN was found.
In view of the above considerations, the present invention provides an energy consumption optimization resource allocation method for joint energy acquisition in edge computing.
Disclosure of Invention
The technical problem to be solved by the invention is to provide an EH-combined energy consumption minimization method in an MECN, which combines an unloading decision, optimizes the transmission power and the CPU frequency of a mobile terminal device end, the charging power and the CPU frequency of an edge server and the energy acquisition time through the cooperation between the edge server and a local terminal device, reasonably distributes calculation and communication resources and reduces the execution energy consumption of a system.
The technical solution of the invention is as follows:
in MECN, N (i ═ 1.. N) end users are included, 1 task per user, and 1 Mobile Edge Computing (MEC) server. Task T of end user iiIs (D)i,Ci) Wherein D isiThe size of the data volume input for the task is in bits, CiThe number of CPU cycles required to execute a task is in cycles. Each task may be executed locally, on a mobile edge serverAnd (6) executing tasks. Wherein xiAs decision variables, xi∈{0,1},xi1 denotes the offloading of end user i's tasks to the mobile edge server for execution, xi0 denotes local execution.
The invention provides an energy consumption optimization resource allocation method for combining energy acquisition in edge calculation, which comprises the following steps:
1. the method comprises the following steps of constructing a mathematical model of energy consumption optimization resource allocation by combining energy acquisition in edge calculation, firstly defining the mathematical model of charging an end user device by an edge server, and then defining energy consumption and delay of local task execution and unloading calculation, wherein the steps are as follows:
1) energy acquisition model
The edge server charges the mobile terminal equipment, and the energy acquired by the terminal user i isAs follows:
η thereiniRepresenting the conversion rate at which each end user device i converts the received signal into energy. PsIs the power at which the edge server charges the end user, hiIs the MEC to device i channel gain. Tau is0Is the time the MEC charges the end user.
2) Local execution
wherein f isi,locThe CPU frequency is the CPU frequency of the end user and has the unit of cycles/s.
Energy consumption for local execution of tasks by end user i is expressed asThe formula is as follows:
wherein gamma islAnd the effective capacitance coefficient depends on the chip architecture of the CPU of the end user equipment.
3) Offload execution
When a local user i offloads a task to an edge server computation, the task needs to be offloaded from the local to the edge server. The data rate from the local to the edge server is Ri,
The formula is as follows:
wherein g is0,d0,θ,N0Is a constant number diDistance from end user i to edge server, B is channel bandwidth, piOffloading the power of the task for end user i.
The time delay of the task unloading of the end user i to the edge server is expressed asAndthe formula is as follows:
wherein f isi,serThe CPU frequency allocated to the end user is in cycles/s.
Offloading of end user i's tasks to edge server upload energy consumption and executionThe line energy consumption is expressed asAndthe formula is as follows:
wherein gamma iscThe effective capacitance coefficient depends on the chip architecture of the edge server CPU.
Defining a mathematical model, optimizing calculation and communication resources jointly, optimizing local CPU frequency and transmission power, optimizing charging power, charging time and CPU frequency of an edge server and unloading decision under the condition of considering local execution delay constraint, edge server execution delay and energy acquisition constraint, wherein the goal is to minimize energy consumption for executing all tasks, and an objective function is defined as follows:
the constraint conditions are as follows:
xi∈{0,1},pi≥0,ps≥0,fi,ser≥0,fi,loc≥0,τ0∈[0,T](17)
wherein χ ═ xi,pi,ps,fi,ser,fi,loc,τ0The optimization variable is used as the optimization variable; equations (10), (11) represent the latency constraint executed locally and the latency constraint executed by the edge server, equation (12) represents the energy consumption constraint executed locally,energy harvested for end user i, see equation (1), EoInitial energy for the end user; equations (13) and (14) represent CPU frequency constraints of the local and edge servers, equations (15) and (16) represent power constraints of the local and edge servers, and equation (17) represents a value range of each optimization variable.
2. Carrying out variable relaxation on the constructed mathematical model and constructing a Lagrangian function, wherein the steps are as follows:
the mathematical model contains continuous optimization variables: the local CPU frequency and transmission power, the CPU frequency, charging power and charging time of the edge server, and binary optimization variables: and (6) unloading the decision. First, a binary variable xiThe relaxation is carried out to be a continuous variable, and according to the convex-concave rule of the composite function, the characteristics of the convex-concave function and the perspective function can prove that the objective function is a concave function, so that the problem after the relaxation of the variable is carried out is a convex problem. Introducing Lagrange multiplier variable matrix lambda ═ lambda1,λ2,λ3,λ4,λ5,λ6,λ7]The lagrange function is constructed as follows:
let χ ═ xi,pi,ps,fi,ser,fi,loc,τ0The dual function of the mathematical model is defined asThe dual problem is thats.t.λ≥0。
3. Solving the time tau of charging the mobile terminal equipment by the edge server0And charging power psThe method comprises the following steps:
lagrange function (18) for τ respectively0And psThe partial derivatives are calculated as follows:
by solving formulas (19) and (20), p can be obtainedsAnd τ0The expression of (c) is as follows:
4. solving the CPU frequency f allocated by the end useri,locAnd edge server assigned CPU frequency fi,serThe method comprises the following steps:
lagrange function (18) for fi,locAnd fi,serThe partial derivatives are calculated as follows:
by solving formulas (23) and (24), the compounds can be obtained with respect to fi,locAnd fi,serA cubic equation of (f)i,locAnd fi,serAs follows:
solving f by Shengjing formula method based on solving unitary cubic equationi,locAnd fi,serFirstly, discriminant discrimination is carried out, and then direct solution is carried out, wherein the method comprises the following steps:
1) and calculating a heavy root discriminant and a total discriminant. Let a unitary cubic equation aX3+bX2+ cX + d is 0, where (a, b, c, d ∈ R, and a ≠ 0), and for formula (25), a is 2 γlCi,b=λ6,i,c=0,d=-λ1,iCi(ii) a For formula (26), a ═ 2 γcCi,b=λ5,c=0,d=-λ2,iCi. Calculating the heavy root discriminant A ═ b2-3ac,B=bc-9ad,C=c2-3bd, calculating the total discriminant Δ ═ B2-4AC。
2) When a ═ B ═ 0, 3 equal solutions of the one-dimensional cubic equation from shengjing equation 1 can be found as follows:
3) when delta is B2When-4 AC is more than 0, 3 solutions of the unitary cubic equation obtained from equation 2 of Shengjing are as followsThe following steps:
4) When delta is B2When-4 AC ═ 0, 3 solutions of the one-dimensional cubic equation from shengjing equation 3 can be obtained as follows:
5) When delta is B2-4AC<At 0, 3 solutions of the one-dimensional cubic equation from shengjing equation 4 are as follows:
5. solving the transmission power p from the terminal equipment unloading task to the edge serveriThe method comprises the following steps:
1) lagrangian function (18) for piThe partial derivatives are calculated as followsShown in the figure:
By solving formula (34), p can be obtainediThe logarithmic equation of (a) is as follows:
2) after the partial derivative is obtained again for equation (35), the following equation is obtained:
by observation, equation (36) is non-positive, that is, equation (35) is a monotonically decreasing function.
3) Solving for p based on dichotomyi. In the intervalObtaining p by gradually approximating the binary approximation to the optimal valueiThe optimal solution of (2) comprises the following steps:
determining an interval [ a, b ], verifying that f (a) and f (b) are less than 0, and giving accuracy omega;
Calculating f (c), if f (c) is 0, c is zero point of function;
if f (a) and f (c) are less than 0, b is equal to c;
if f (c) f (b) is less than 0, making a equal to c;
judging whether the difference value of two sections of interval points reaches accuracy omega, if | a-b | is less than omega, obtaining zero point approximate value a (or b) of formula (35) to finish the optimal value solution, otherwise, skipping to the step II.
6. Offloading decision variable x for solving offloading of task of end user i to edge serveriThe method comprises the following steps:
dependent load decision variable xiIs a binary variable, and is subjected to unloading decision variable xiAfter the variable relaxation, the variable x is extracted from the Lagrangian function (18)iAnd 1-xiThe modifications are as follows:
considering the idea of a greedy algorithm, when the offloading decision can reduce the total energy consumption, it is considered to offload it, as shown in the following equation:
wherein:
7. solving the energy consumption optimization resource allocation problem obtained by combining energy based on a gradient descent method, comprising the following steps:
1) initializing the dual variable matrix λ and the step size α ═ α1,α2,α3,α4,α5,α6,α7]The number of iterations m is 1,
2) calculating charging power of the edge server side according to equation (21) and equation (22)And charging timeCalculating the energy of the edge server for charging the terminal device i according to the formula (1)
3) Based on the Shengjing formula method, the CPU frequency distributed by the end user is calculated according to the formulas (25) and (26)And CPU frequency of edge server side
5) Solving the offload decision variable of the end user i for offloading the task to the edge server according to equation (38)
6) Respectively solving the time delay of the task executed locally, transmitted to the edge server and executed at the edge server according to the formulas (2), (5) and (6)And energy consumption for executing the calculation tasks locally, transmitting the calculation tasks to the edge server and executing the calculation tasks at the edge server according to the formulas (3), (7) and (8)
7) Gradient descent method for updating Lagrange multiplier lambda ═ lambda1,λ2,λ3,λ4,λ5,λ6,λ7]As follows:
9) Judgment ofIf yes, ending iteration to show that the optimal solution is obtained; if not, continue the next iteration, m ═ m +1, go to step 2).
Has the advantages that:
the invention solves the problem of energy consumption optimization resource allocation of joint energy acquisition in edge calculation, and the task of the terminal user is selected to be executed locally or unloaded by the edge server, thereby effectively reducing the energy consumption of the system.
The present invention is described in further detail below with reference to the attached drawing figures.
FIG. 1 is a schematic view of a scene model of the present invention;
FIG. 2 is a flowchart of a minimum latency algorithm under the cooperative offloading mechanism of the present invention;
FIG. 3 is a flowchart of a gradient descent method for solving an energy consumption optimization resource allocation problem of joint energy acquisition.
Detailed Description
The invention will be described in further detail below with reference to the following figures and specific examples:
example 1:
in this embodiment, fig. 1 is a schematic diagram of a mobile edge computing network model of a joint energy acquisition technology, where the network includes 30(N ═ 30) end users, each user has 1 task, and 1 MEC server. Task T of end user iiIs (D)i,Ci),DiSize of input data volume for task in range of [ bits],CiThe number of CPU cycles required to execute a task ranges from cycles]. Wherein g is0=-40dB,d0=1m,diDistance of user i to edge server, N0=-174dB/HZ,B=20KHZ,θ=3,ηi=0.5。
S1 creating a scenario
S1-1 has 30 end users in the scene, each user has 1 task and 1 edge server.
Task T of end user iiC of (A)iAnd DiAs follows:
end user i to mobile edge serverDistance diComprises the following steps:
channel gain h from mobile edge server to end user iiComprises the following steps:
s2 energy consumption optimization resource allocation problem based on gradient descent method for solving joint energy acquisition
Initial value for the first iteration of S2-1:
λ3 | 900 |
λ5 | 4e-6 |
F is calculated by the equations (25), (26), (35)i,loc,fi,ser,pi。
S2-2 making an unload decision x by equation (38) based on the temporary optimum variable found at S2-1i。
Offload decision x for end user i's taski:
The energy consumption to perform all tasks is: 6.429288179930334e +03
S2-3 judges whether the target converges, and if not, updates λ ═ λ1,λ2,λ3,λ4,λ5,λ6,λ7]And continuing the next iteration until the target converges.
The difference between the two iterations when the target converges is 9.323995527665830 e-06.
Value of λ at convergence:
λ3 | 946.0862137880565 |
λ5 | 8.827558293088503e-05 |
charging power and charging time of the edge server during convergence:
CPU frequency of local device at convergence:
CPU frequency of edge server at convergence:
transmission power from the terminal device to the edge server at convergence:
task offload decision x for end user i at convergencei:
The energy consumption to perform all tasks at convergence is: 6.829703870241112e +02
Claims (8)
1. An energy consumption optimization resource allocation method for combining energy acquisition in edge computing is characterized by comprising the following steps:
step 1: and constructing a mathematical model of energy consumption optimization resource allocation combined with energy acquisition in edge calculation.
Step 2: and performing variable relaxation on the constructed mathematical model and constructing a Lagrangian function.
And step 3: solving the time tau of charging the mobile terminal equipment by the edge server0And charging power ps。
And 4, step 4: solving the CPU frequency f allocated by the end useri,locAnd edge server assigned CPU frequency fi,ser。
And 5: solving the transmission power p from the terminal equipment unloading task to the edge serveri。
Step 6: offloading decision variable x for solving offloading of task of end user i to edge serveri。
And 7: and solving the energy consumption optimization resource allocation problem obtained by combining energy based on a gradient descent method.
2. The method for energy consumption optimized resource allocation based on energy acquisition in edge computing according to claim 1, wherein a mathematical model of energy consumption optimized resource allocation based on energy acquisition in edge computing is constructed in step 1.
Defining optimized variables of a mathematical model, including decision variables xi∈{0,1},xi1 means that the task of the end user i is unloaded to the edge server for execution; CPU frequency f assigned by end user ii,locEdge server assigned CPU frequency fi,ser(ii) a Offloading of end user i's tasks to edge server transmission power piCharging time tau of edge server to mobile terminal equipment0Charging power p of edge server to mobile terminal devices. Defining the energy acquired by the end user i asThe time delay of the local execution of the task is Ti lWith task local execution energy consumptionEnd user to edge server data rate Ri(ii) a The time delay for unloading the task to the edge server and uploading is represented as Ti transAnd Ti cOffloading of tasks to edge servers for energy consumptionAnd execution energy consumptionAn objective function that minimizes the energy consumption for executing all tasks is defined as
3. The method for energy consumption optimization resource allocation in combination with energy acquisition in edge computing as claimed in claim 1, wherein in step 2, the constructed mathematical model is subjected to variable relaxation and a lagrangian function is constructed.
4. The method as claimed in claim 1, wherein the step 3 of solving the time τ for the edge server to charge the mobile terminal device is further performed by using the energy-consumption-optimized resource allocation method based on energy-harvesting0And charging power ps。
5. The method for energy consumption optimization resource allocation by combining energy acquisition in edge computing according to claim 1, wherein the step 4 is performed to solve the CPU frequency f allocated by the end useri,locAnd edge server assigned CPU frequency fi,ser。
6. The method for energy consumption optimization resource allocation based on energy acquisition in edge computing according to claim 1, wherein the solution of the transmission power p unloaded from the terminal device to the edge server in step 5 is performedi。
7. The method for energy consumption optimization resource allocation based on energy acquisition in edge computing as claimed in claim 1, wherein the step 6 is to solve the off-load decision variable x for off-loading the task of the end user i to the edge serveri。
8. The method for energy consumption optimized resource allocation based on joint energy acquisition in edge computing according to claim 1, wherein the step 7 is based on a gradient descent method to solve the problem of energy consumption optimized resource allocation based on joint energy acquisition.
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