CN110033104A - Coverage division methods towards Agricultural Machinery Equipment novel maintenance service network - Google Patents
Coverage division methods towards Agricultural Machinery Equipment novel maintenance service network Download PDFInfo
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Abstract
The present invention relates to a kind of coverage division methods towards Agricultural Machinery Equipment novel maintenance service network, belong to Agricultural Machinery Equipment novel maintenance service technology field.Entire O&M coverage is divided into several unit areas, and determines the maintenance requirements amount in each unit region based on historical data;The service mileage between service station and each unit region, adjacency matrix and distance matrix between construction unit region are determined according to the geographical location in each unit region;Then with the maximum amount of service difference minimum and the minimum target building mathematic optimal model of total service mileage cost between coverage, and nondominated sorting genetic algorithm II is selected to solve the combinatorial optimization problem, obtain coverage splitting scheme.It the present invention provides the new method divided in Agricultural Machinery Equipment O&M service field coverage, solves the problems, such as the workload larger difference between Current Service Station, reduces the frequency of transregional cooperation, effectively improve Agricultural Machinery Equipment novel maintenance efficiency of service.
Description
Technical field
The present invention relates to a kind of coverage division methods towards Agricultural Machinery Equipment novel maintenance service network, belong to agricultural machinery
Equip novel maintenance service technology field.
Background technique
In recent years, with the transition of conventionally manufactured industry, " manufacturing service " is not only increasingly becoming enterprise to enhance itself competing
The rational choice of power is striven, and also becomes the effective way of manufacturing realized value promotion.Equally in agricultural mechanical field,
The DYNAMIC DISTRIBUTION as possessed by Agricultural Machinery Equipment group operation, cluster and association's equivalent feature, operating environment and job task dynamic
Distribution, work compound working time Relatively centralized, the features such as operation intensity is big reliable are made to guarantee that time in busy farming season equipment is continuous
Industry, and quick response Agricultural Machinery Equipment maintenance requirements, Agricultural Machinery Equipment manufacturing enterprise establish the fortune towards Agricultural Machinery Equipment group operation
Tie up service network.Agricultural Machinery Equipment manufacturing enterprise can select appropriate suitable service station to timely respond to the equipment maintenance service of client
Demand.
But Agricultural Machinery Equipment manufacturing enterprise lacks reasonable foundation and science in carrying out coverage partition process
Means.Currently, the coverage of service network divides mainly according to two o'clock: (1) based on the administrative region at place;(2) rely on
Expertise.For example, for the service station regional choice in agricultural machinery O&M service network, setting one in the every 60km in central plain area
In service station, one service station of the interior setting of the every 300km in Xinjiang region, Heilungkiang and the every 200km in south China (Guangdong, Guangxi) area
One service station is set.Such coverage division methods usually make service station workload uneven, service station resource
Insufficient with resources idle phenomenon and to deposit: some service stations are longer to the service response time of client, and the satisfaction of client declines;And
The resource in some service stations is idle, results in waste of resources, seriously affects the efficiency of service offering.
Summary of the invention
Unreasonable problem is divided the purpose of the present invention is to solve existing, provides and is taken towards Agricultural Machinery Equipment novel maintenance
The coverage division methods of business network;This method comprehensively considers the characteristics of various regions demand for services amount and entire maintenance service network
The geographical feature of overlay area repartitions the coverage of service network, so that the work for balancing each service station is negative
There is the frequency of transregional service, guarantee the service offering efficiency of each client, finally improve whole in lotus, the servicer for reducing service station
The overall efficiency of a service network.
Coverage division methods towards Agricultural Machinery Equipment novel maintenance service network, the specific steps are as follows:
Step 1: being standard according to small-scale administrative region, to the service area of Agricultural Machinery Equipment novel maintenance service network
Domain is split, and obtains several unit areas;Determine quantity m and the unit area at place in service station;
Several unit areas are denoted as set I, I={ I1, I2..., Ii, IiIndicate i-th of unit area;Service station institute
Unit area be denoted as set Ser, Ser={ ser1,ser2,ser3..., serm, wherein sermIndicate m-th of service station
The unit area at place;
The small-scale administrative region include: with " administrative areas at the county level " be unit (specifically include districts under city administration, county-level city,
County and autonomous county etc.), with " township level administrative area " be unit (specifically including town, township, national countryside, street);
Step 2: obtaining the service inventory of each unit area, specify the adjacency of unit area, determine service station with
Service mileage between each unit region;
1) service inventory in each unit region, construction unit regional demand matrix S:S=are determined according to historical data
[S1 S2 … Si];S is 1 × i matrix, SiIndicate the quantity required of i-th of coverage.
2) according to the adjacency between each unit region, unit area adjacency matrix A is established:
Wherein, A is i × i matrix, indicates the adjacency of i unit area any two unit area in coverage, square
It when element is 1 in battle array A, indicates that two unit areas are adjacent, when element is 0, indicates that two unit areas are non-conterminous;
3) the service mileage for measuring service station and each unit region, constructs served distance matrix D:
Wherein, D is m × i matrix, indicates the service station coverage Nei Ge at a distance from each unit region;
Step 3: according to the maximum difference amount minimum of each service station coverage demand and total service the smallest original of mileage
Then, according to the relationship of step 2, combining target principle establishes Optimized model:
Objective function are as follows:
Constraint condition are as follows:
fiIndicate minimum service mileage;f2Indicate that the maximum phase residual quantity of each service station coverage demand is minimum;I and j table
Show the number of unit area;K and n indicates k-th or n-th of region after dividing, k, n ∈ K;L1One is indicated to be more than or equal to
The number of unit area quantity;xi kIt indicates unit area and divides the distribution variable of rear region, when its value is 1, indicate i cellular zone
Domain is assigned to region j, otherwise its value is 0;uk isermIndicate that the service for dividing the unit area behind region distributes, when value is 1
When indicate the region k in sermService is provided to i, otherwise is 0;qij kIndicate the company for dividing unit area i to j in the k of region
The imagination stream of continuous property assessment;ri kAnd ri nFor the imaginary gutter channel of continuity assessment, value is that 1 expression has water in the region K
Slot indicates that region is continuous, otherwise is 0;xk sermIt indicates to divide service provider's distribution behind region, works as sermIt is assigned to k-th of region
When, value 1, it is on the contrary then be 0;
The mathematical model of above-mentioned building is solved, unit area division is carried out according to solving result, obtains agricultural machinery dress
The coverage splitting scheme of received shipment dimension service network.
Solution described in step 3 is realized using nondominated sorting genetic algorithm II (NSGA-II)
, specific step is as follows;
1) coding is generated according to each service station and its unit area of service;
2) initial parameter: population number N, crossover probability a is setc, mutation probability avWith genetic algebra gen;
3) initial population is generated according to the feasibility that service network divides;
4) fitness function of initial population is calculated;
5) non-dominated ranking, selection, intersection and variation are executed, new individual is obtained;
6) whether the new individual of judgement meets scheduled termination condition, optimal solution is obtained if meeting, if being unsatisfactory for returning
Return step 5);
Beneficial effect
The present invention is based on the maximum phase residual quantity minimums of each service station coverage demand and total service mileage minimum to establish
Mathematic optimal model, and solved using nondominated sorting genetic algorithm II, ultimately generate agricultural machinery dress
The coverage splitting scheme of received shipment dimension service network.The present invention provides service facility area for Agricultural Machinery Equipment O&M service field
The new approaches that domain divides, solve the problems, such as to reduce transregional cooperation there are workload larger difference between current service quotient
Frequency, improve the efficiency of Agricultural Machinery Equipment novel maintenance service, save the costs such as artificial logistics.
Detailed description of the invention
Fig. 1 is that the Hunan Province Current Service Station coverage of embodiment 1 divides status;
Fig. 2 is Hunan Province's area division scheme schematic diagram;It (1) is 1 schematic diagram of splitting scheme;(2) illustrate for splitting scheme 2
Figure;It (3) is 3 schematic diagram of splitting scheme;It (4) is 4 schematic diagram of splitting scheme.
Specific embodiment
The present invention will now be described in detail with reference to the accompanying drawings and examples.
Embodiment 1
By taking certain Agricultural Machine Manufacturing Enterprise is in the O&M service network that Hunan Province constructs as an example.Currently, the enterprise is in Hunan Province master
There are 10 service stations to be responsible for the agricultural machinery O&M services of the province, as shown in Figure 1.The present embodiment passes through its in January, 2012 to 6
The maintenance record statistics of the moon obtains the repair of each service provider, Hunan Province, as shown in table 1.
1 service provider, Hunan Province Present Service Situation of table
The present invention provides the coverage division methods towards Agricultural Machinery Equipment novel maintenance service network.Firstly, being directed to
The coverage of entire Agricultural Machinery Equipment O&M service network, is divided into several unit zonules, specifies the quantity in service station
With the unit area at place;It is determined according to the geographical location in each unit region in the service between service station and each unit region
Journey, adjacency matrix and distance matrix between construction unit region;Then most with the maximum amount of service difference between coverage
Small and total minimum target of service mileage cost constructs mathematic optimal model, and selects the quick non-dominated ranking with elitism strategy
Genetic algorithm solves the combinatorial optimization problem, obtains coverage splitting scheme.Specific step is as follows:
Step 1: being standard according to small-scale administrative region, the coverage of service network is split, if obtaining
Dry unit area;Determine quantity m and the unit area at place in service station;
1) entire Hunan Province is divided into 101 regions, is denoted as set I, I={ I for unit with " administrative areas at the county level "1,
I2..., I101, as shown in table 2;
2 unit area division result of table
2) quantity in clear service station be 10, and the unit area where service station be respectively as follows: Qiyang (9), Yongxing (16),
Youxian County (31), Liuyang City (43), Huarong County (50), Taojiang County (54), Cili County (90), Han Shousi (94), Anxiang County (96), the waterside
Pu county (101), then { 9,16,31,43,50,54,90,94,96,101 } service station set Ser=;
Step 2: obtaining the quantity required of each unit area, the adjacency of unit area is specified, determines service station and each
Service mileage between unit area;
1) quantity required in each unit region, construction unit region are determined according to the maintenance record in January, 2012 to June
Requirement matrix S:
S=[17,18,92,57,0,0,7,88,47,43,0,0,8,4,0,380,0,0,0,35,95,203,40,104,
71,145,7,53,112,1,782,239,127,6,4,299,0,20,697,11,2,22,715,153,5,85,137,381,
1097,1736,3064,530,90,106,0,11,19,0,21,14,28,0,19,65,4,17,0,0,0,0,91,25,18,
49,7,0,0,3,31,23,0,89,21,0,78,59,139,143,7,119,216,824,530,950,449,1033,70,
818,87,94,57];
2) according to the adjacency between each unit region, unit area adjacency matrix A is established:
3) the service mileage for measuring service station and each unit region, constructs served distance matrix D:
Step 3: it is minimum according to the maximum phase residual quantity minimum of each service station coverage demand and total service mileage, it builds
Vertical mathematic optimal model:
Objective function are as follows:
Constraint condition are as follows:
fiIndicate minimum service mileage;f2Indicate that the maximum phase residual quantity of each service station coverage demand is minimum;I and j table
Show the number of unit area;K and n indicates k-th or n-th of region after dividing, k, n ∈ K;L1One is indicated to be more than or equal to
The number of unit area quantity;xi kIt indicates unit area and divides the distribution variable of rear region, when its value is 1, indicate i cellular zone
Domain is assigned to region j, otherwise its value is 0;uk isermIndicate that the service for dividing the unit area behind region distributes, when value is 1
When indicate the region k in sermService is provided to i, otherwise is 0;qij kIndicate the company for dividing unit area i to j in the k of region
The imagination stream of continuous property assessment;ri kAnd ri nFor the imaginary gutter channel of continuity assessment, value is that 1 expression has water in the region K
Slot indicates that region is continuous, otherwise is 0;xk sermIt indicates to divide service provider's distribution behind region, works as sermIt is assigned to k-th of region
When, value 1, it is on the contrary then be 0;
The mathematical model of above-mentioned building is solved, unit area division is carried out according to solving result, obtains agricultural machinery dress
Received shipment ties up the coverage splitting scheme of service network, according to demand optional one.Region division result is as shown in Table 3 and Fig. 2.
Solution described in step 3 is realized using nondominated sorting genetic algorithm II (NSGA-II)
, specific step is as follows;
1) coding is generated according to each service station and its unit area of service;
2) initial parameter: population number N=40, crossover probability a is setc=0.9, mutation probability av=0.1, genetic algebra gen
=500;
3) initial population is generated according to the feasibility that service network divides;
4) fitness function of initial population is calculated;
5) non-dominated ranking, selection, intersection and variation are executed, new individual is obtained;
6) whether the new individual of judgement meets scheduled termination condition, optimal solution is obtained if meeting, if being unsatisfactory for returning
Return step 5);
Table 3 repartitions the service scenario of service provider, Hunan Province behind region
Above-described specific descriptions have carried out further specifically the purpose of invention, technical scheme and beneficial effects
It is bright, it should be understood that the above is only a specific embodiment of the present invention, the protection model being not intended to limit the present invention
It encloses, all within the spirits and principles of the present invention, any modification, equivalent substitution, improvement and etc. done should be included in the present invention
Protection scope within.
Claims (2)
1. the coverage division methods towards Agricultural Machinery Equipment novel maintenance service network, it is characterised in that: specific step is as follows:
Step 1: being carried out using small-scale administrative region as standard to the coverage of Agricultural Machinery Equipment novel maintenance service network
Segmentation, obtains several unit areas;Determine quantity m and the unit area at place in service station;
Several unit areas are denoted as set I, I={ I1, I2..., Ii, IiIndicate i-th of unit area;List where service station
First region is denoted as set Ser, Ser={ ser1,ser2,ser3..., serm, wherein sermWhere indicating m-th of service station
Unit area;
The small-scale administrative region include: with " administrative areas at the county level " be unit or with " township level administrative area " for unit;
Step 2: obtaining the service inventory of each unit area, the adjacency of unit area is specified, determines service station and each list
Service mileage between first region;
1) service inventory in each unit region, construction unit regional demand matrix S:S=[S are determined according to historical data1 S2
… Si];S is 1 × i matrix, SiIndicate the quantity required of i-th of coverage;
2) according to the adjacency between each unit region, unit area adjacency matrix A is established:
Wherein, A is i × i matrix, indicates the adjacency of i unit area any two unit area in coverage, matrix A
It when middle element is 1, indicates that two unit areas are adjacent, when element is 0, indicates that two unit areas are non-conterminous;
3) the service mileage for measuring service station and each unit region, constructs served distance matrix D:
Wherein, D is m × i matrix, indicates the service station coverage Nei Ge at a distance from each unit region;
Step 3: according to the maximum difference amount minimum of each service station coverage demand and total service the smallest principle of mileage, root
According to the relationship of step 2, combining target principle establishes Optimized model:
Objective function are as follows:
Constraint condition are as follows:
fiIndicate minimum service mileage;f2Indicate that the maximum phase residual quantity of each service station coverage demand is minimum;I and j indicates single
The number in first region;K and n indicates k-th or n-th of region after dividing, k, n ∈ K;L1Indicate that is more than or equal to a unit
The number of region quantity;xi kIt indicates unit area and divides the distribution variable of rear region, when its value is 1, indicate the unit area i quilt
Region j is distributed to, otherwise its value is 0;uk isermIndicate that the service for dividing the unit area behind region distributes, the table when value is 1
Show the ser in the region kmService is provided to i, otherwise is 0;qij kIndicate the continuity for dividing unit area i to j in the k of region
The imagination stream of assessment;ri kAnd ri nFor the imaginary gutter channel of continuity assessment, value is that 1 expression has sink, table in the region K
Show that region is continuous, otherwise is 0;xk sermIt indicates to divide service provider's distribution behind region, works as sermWhen being assigned to k-th of region, take
Value be 1, on the contrary it is then be 0;
The mathematical model of above-mentioned building is solved, unit area division is carried out according to solving result, obtains Agricultural Machinery Equipment fortune
Tie up the coverage splitting scheme of service network.
2. the coverage division methods as described in claim 1 towards Agricultural Machinery Equipment novel maintenance service network, feature
Be: solution described in step 3 using nondominated sorting genetic algorithm II (NSGA-II) realize,
Specific step is as follows;
1) coding is generated according to each service station and its unit area of service;
2) initial parameter: population number N, crossover probability a is setc, mutation probability avWith genetic algebra gen;
3) initial population is generated according to the feasibility that service network divides;
4) fitness function of initial population is calculated;
5) non-dominated ranking, selection, intersection and variation are executed, new individual is obtained;
6) whether the new individual of judgement meets scheduled termination condition, optimal solution is obtained if meeting, if being unsatisfactory for returning to step
It is rapid 5).
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