CN110020753A - A kind of optimization of sewage network working sources and Project Schedule Risk Analysis method - Google Patents
A kind of optimization of sewage network working sources and Project Schedule Risk Analysis method Download PDFInfo
- Publication number
- CN110020753A CN110020753A CN201910277262.5A CN201910277262A CN110020753A CN 110020753 A CN110020753 A CN 110020753A CN 201910277262 A CN201910277262 A CN 201910277262A CN 110020753 A CN110020753 A CN 110020753A
- Authority
- CN
- China
- Prior art keywords
- duration
- cost
- teams
- groups
- expense
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 239000010865 sewage Substances 0.000 title claims abstract description 28
- 238000000034 method Methods 0.000 title claims abstract description 25
- 238000005457 optimization Methods 0.000 title claims abstract description 19
- 238000012502 risk assessment Methods 0.000 title claims abstract description 13
- 238000010276 construction Methods 0.000 claims abstract description 31
- PEDCQBHIVMGVHV-UHFFFAOYSA-N Glycerine Chemical compound OCC(O)CO PEDCQBHIVMGVHV-UHFFFAOYSA-N 0.000 claims abstract description 29
- 238000013178 mathematical model Methods 0.000 claims abstract description 19
- 230000020509 sex determination Effects 0.000 claims abstract description 7
- 238000009795 derivation Methods 0.000 claims description 5
- 230000009471 action Effects 0.000 claims description 3
- 230000006835 compression Effects 0.000 claims description 3
- 238000007906 compression Methods 0.000 claims description 3
- 230000008901 benefit Effects 0.000 abstract description 5
- 238000009826 distribution Methods 0.000 abstract description 4
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 9
- 238000004458 analytical method Methods 0.000 description 5
- 230000008569 process Effects 0.000 description 5
- 238000011160 research Methods 0.000 description 5
- 238000005314 correlation function Methods 0.000 description 4
- 125000004122 cyclic group Chemical group 0.000 description 4
- 238000013461 design Methods 0.000 description 4
- 238000005516 engineering process Methods 0.000 description 4
- 230000002068 genetic effect Effects 0.000 description 4
- 230000000694 effects Effects 0.000 description 3
- 238000011156 evaluation Methods 0.000 description 3
- 239000011150 reinforced concrete Substances 0.000 description 3
- 230000008859 change Effects 0.000 description 2
- 230000006872 improvement Effects 0.000 description 2
- 238000013433 optimization analysis Methods 0.000 description 2
- 238000006467 substitution reaction Methods 0.000 description 2
- 229920011532 unplasticized polyvinyl chloride Polymers 0.000 description 2
- NAWXUBYGYWOOIX-SFHVURJKSA-N (2s)-2-[[4-[2-(2,4-diaminoquinazolin-6-yl)ethyl]benzoyl]amino]-4-methylidenepentanedioic acid Chemical compound C1=CC2=NC(N)=NC(N)=C2C=C1CCC1=CC=C(C(=O)N[C@@H](CC(=C)C(O)=O)C(O)=O)C=C1 NAWXUBYGYWOOIX-SFHVURJKSA-N 0.000 description 1
- 241000208340 Araliaceae Species 0.000 description 1
- 235000005035 Panax pseudoginseng ssp. pseudoginseng Nutrition 0.000 description 1
- 235000003140 Panax quinquefolius Nutrition 0.000 description 1
- 244000248021 Vitex negundo Species 0.000 description 1
- 235000010363 Vitex negundo Nutrition 0.000 description 1
- 238000009412 basement excavation Methods 0.000 description 1
- FFBHFFJDDLITSX-UHFFFAOYSA-N benzyl N-[2-hydroxy-4-(3-oxomorpholin-4-yl)phenyl]carbamate Chemical compound OC1=C(NC(=O)OCC2=CC=CC=C2)C=CC(=C1)N1CCOCC1=O FFBHFFJDDLITSX-UHFFFAOYSA-N 0.000 description 1
- 239000004567 concrete Substances 0.000 description 1
- 230000003111 delayed effect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 235000013399 edible fruits Nutrition 0.000 description 1
- 235000008434 ginseng Nutrition 0.000 description 1
- 229920001903 high density polyethylene Polymers 0.000 description 1
- 239000004700 high-density polyethylene Substances 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 238000001556 precipitation Methods 0.000 description 1
- 238000002360 preparation method Methods 0.000 description 1
- 238000012887 quadratic function Methods 0.000 description 1
- 238000011084 recovery Methods 0.000 description 1
- 230000000452 restraining effect Effects 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
- 239000002351 wastewater Substances 0.000 description 1
- 238000004804 winding Methods 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/06—Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
- G06Q10/063—Operations research, analysis or management
- G06Q10/0631—Resource planning, allocation, distributing or scheduling for enterprises or organisations
- G06Q10/06311—Scheduling, planning or task assignment for a person or group
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/04—Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/06—Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
- G06Q10/063—Operations research, analysis or management
- G06Q10/0631—Resource planning, allocation, distributing or scheduling for enterprises or organisations
- G06Q10/06315—Needs-based resource requirements planning or analysis
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2113/00—Details relating to the application field
- G06F2113/14—Pipes
Landscapes
- Business, Economics & Management (AREA)
- Human Resources & Organizations (AREA)
- Engineering & Computer Science (AREA)
- Economics (AREA)
- Strategic Management (AREA)
- Theoretical Computer Science (AREA)
- Entrepreneurship & Innovation (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Operations Research (AREA)
- Marketing (AREA)
- Quality & Reliability (AREA)
- Tourism & Hospitality (AREA)
- Game Theory and Decision Science (AREA)
- General Business, Economics & Management (AREA)
- Development Economics (AREA)
- Educational Administration (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
The invention discloses a kind of optimization of sewage network working sources and Project Schedule Risk Analysis methods, first establish overhead cost, flat cost, total cost mathematical model；Secondly, establishing restrictive condition；Teams and groups' quantitative expression is calculated to total cost mathematical model again；Then the reasonable sex determination of calculated result is carried out, solution in next step is transferred to if rationally if result and obtains optimal teams and groups' quantity；Influence of the Outer risks factor to construction when finally assessing different month operations, and obtain the actually required duration.The present invention is according to influencing teams and groups' quantity, duration and cost function relationship and the moon number of days, utilize number of days, usage factor, monthly average usage factor, expense accounting, which can be obtained, from teams and groups quantitative relation curves, duration and expense relation curve, teams and groups-duration and expense relation curve and different months to be influenced number of days, utilizes number of days, usage factor distribution curve, required actual construction time, have many advantages, such as that method for solving is simple, solves object and be illustrated.
Description
Technical field
The present invention relates to a kind of optimization of sewage network working sources and Project Schedule Risk Analysis methods, belong to pipeline network construction technology
Field.
Background technique
Important component of the pipe-networks engineering as villages within the city's pollution treatment, construction speed directly influence the effect of waste water control
Fruit.Since villages within the city tunnel is narrow, underground utilities are intricate, septic tank arranges unordered, wagon flow and flow of the people is big, pipeline construction
Have the characteristics that difficulty is big, restraining factors are more, Schedule schema is big.How to organize to complete production task within a short period of time, effectively
Various risks are eliminated and dissolved, realize the optimization of engineering cost, resource input, to reach pair of economic benefit and social benefit
To income, there is stronger realistic meaning.
Currently, mainly carrying out around engineering cost, duration etc., in engineering construction optimization and progress analysis by building
Vertical Optimized model, thus find Optimal Project Duration and expense, and be mainly used in road, bridge, highway etc., it congratulates such as high based on mould
Paste mathematical theory studies road engineering optimum duration, Liu Nannan (engineering project schedule -expense optimizing research --- with
The Xi'an [D] for science of bridge building project: Xi'an University of Architecture and Technology, 2013) use adaptivity genetic algorithm to science of bridge building
Research, Yang Panpan (the expressway construction project multi-objective Optimization based on genetic algorithm is optimized in progress, expense
The Tianjin [D]: Tianjin Polytechnic University, 2013.) expressway construction project multiple-objection optimization is ground based on genetic algorithm
Study carefully；For the construction optimization and Project Schedule Risk Analysis of pipe network project, it is more from design angle that correlative study and application are less
It accounts for, such as (Tian Jiandong, Cheng Jilin, Gong Yi municipal sewage transportation system Study on method of optimization [J] gives Tian Jiandong
2017,43 (4): water draining 115~121) carries out municipal sewage transportation system optimum design method using discrete enumerative technique
Research, (Liu Shuming, Wang Huanhuan believe the Kunlun town water supply pipe network Algorithm for multiobjective optimization and give using [J] Liu Shuming etc.
Water drains, 2014,30 (1): it is excellent 52~60.) to have carried out multiple target to town water supply pipe network using non-dominated sorted genetic algorithm
Change, (Wang Guangyu, Xie Jiancang, Zhang Jianlong calculate [J] northwest agricultural based on the water supply network optimization for improving ant group algorithm to Wang Guangyu
University of Science and Technology's journal (natural science edition), 2014,42 (1): 228~234.) based on improved ant group algorithm to water supply network into
Optimization of having gone calculates, Chen Shengbing (Chen Shengbing, Lou Jinsheng, Huangping, the municipal sewage pipe network that Tian Hongdong is constructed based on topological relation
2007,33 (5): optimization design [J] water supply and drainage 189~121.) has carried out municipal sewage pipe network based on topological relation excellent
Change design.
For an engineering, since job content and total amount are fixed, investment resource more more then durations it is shorter, resource more it is few then
Duration is longer.The number of resource input will have a direct impact on the flat cost of engineering, and the engineering that the length of duration will affect
Overhead cost.Overhead cost, which refers to, is not used to directly be included in engineering object, but to carry out the expense that engineering construction is occurred, including management
Personnel's wage, assets usage charges, insurance premium etc..Flat cost includes labour cost, fee of material, mechanical stage student contributions pooled to pay for class activities, measure expense etc..Generally
For, there are a normal durations for project, mean that engineering is delayed more than the normal duration, overhead cost can be increase accordingly, flat cost
It reduces；Compressing the normal duration then means that the duration shifts to an earlier date, and overhead cost can be reduced accordingly, and flat cost increases.
Under normal conditions, overhead cost and duration are (direct proportion) linear functional relation, and flat cost and duration are quadratic function
Relationship.Indirect expense mathematical formulae can be expressed as:
CI=β t (1)
In formula, CI --- overhead cost, Wan Yuan；
β --- indirect rate, β=(C`2-C`1)/(t2-t1)；
t1--- minimum duration, day；
C`1——t1Corresponding indirect expense, Wan Yuan；
t2--- normal duration, day；
C`2——t2Corresponding indirect expense, Wan Yuan.
Indirect expense mathematical formulae can be expressed as:
CD=at2+bt+c (2)
In formula, CD --- flat cost, Wan Yuan；
B=2 (C2-C1)/(t2-t1)；
C1——t1Corresponding direct cost；
C2——t2Corresponding direct cost.
Therefore, total cost can be expressed as lower array function:
C (t)=CI (t)+CD (t) (3)
The sum of flat cost CD and overhead cost CI are the total cost C of engineering.When total cost minimum, the corresponding duration is
Optimum duration, resource input at this time are optimal resource input.
For sewage network project, the optimizing research to working sources investment and Schedule schema research are also lacked, it is specific next
It says, lacks using the resource of pipeline network construction, duration, expense as optimizing index, using Outer risks factor as the tool of evaluation object
Body method, therefore establish a kind of sewage network working sources optimization analysis and Project Schedule Risk Analysis method there is relatively strong application meaning
Justice.
Summary of the invention
In view of the above existing problems in the prior art, the present invention provides a kind of optimization of sewage network working sources and progress wind
Dangerous analysis method.
To achieve the goals above, a kind of optimization of sewage network working sources and Project Schedule Risk Analysis side that the present invention uses
Method first establishes overhead cost, flat cost, total cost mathematical model；
Secondly, establishing restrictive condition；
Teams and groups' quantitative expression is calculated to total cost mathematical model again；
Then the reasonable sex determination of calculated result is carried out, is transferred to if rationally if result and solves optimal teams and groups' quantity in next step；
Influence of the Outer risks factor to construction when finally assessing different month operations, and obtain the actually required duration.
As an improvement, sewage network working sources optimization and Project Schedule Risk Analysis method, specifically includes the following steps:
Step 1: establishing the expense mathematical model in sewage network construction:
Indirect expense model is CI=β [L/ (ld·x)+11] (1)；
Direct cost model is CD=a [L/ (ld·x)+11]2+b·[L/(ld·x)+11]+c (2)；
Total cost mathematical model is C (x, ld)=a [L/ (ld·x)+11]2+(β+b)·[L/(ld·x)+11]+c
(3)；
Wherein: L --- pipe network total length is；X --- teams and groups' quantity；ld--- the pipe network that each teams and groups complete daily is long
Degree；
B=2 (C2-C1)/(t2-t1)；
t1--- minimum duration, day；
t2--- normal duration, day；
C1——t1Corresponding direct cost；
C2——t2Corresponding direct cost；
β --- indirect rate, β=(C`2-C`1)/(t2-t1)；
C`1——t1Corresponding indirect expense, Wan Yuan；
C`2——t2Corresponding indirect expense, Wan Yuan；
Step 2: setting up the restrictive condition of investment teams and groups' quantity:
2000≤L/x≤10000 (4)；
Step 3: the function factor that solving model is related to:
If very big, the minimum teams and groups quantity of investment is respectively x1、x3, the corresponding duration is respectively minimum duration t1, greatly
Duration t3；Normal teams and groups' quantity is x2, the corresponding duration is normal duration t2；x1、x2Corresponding indirect expense is respectively C
`1、C`2；Enable t2=(t1+t3)/2, then have:
x2=2x1·x3/(x1+x3) (5)；
For indirect expense, can obtain:
CI=Cdj·t (6)；
In formula, CI --- overhead cost, Wan Yuan；
Cdj--- the indirect expense occurred daily, Wan Yuan；
Know β=Cdj；
Then have:
C`1=Cdj·t1(7)；
C`2=Cdj·t2(8)；
For daily flat cost, the functional relation of teams and groups' quantity and expense can be established:
Cdz=Kxld·Cd0(9)；
In formula, Cdz--- daily direct cost, Wan Yuan；
Cd0--- it is the expense of every linear meter(lin.m.), Wan Yuan；
K --- direct cost coefficient related with compression duration size, is herein direct cost related with teams and groups' quantity
Coefficient takes 1.0, x when teams and groups' quantity is 11、x2Corresponding cost coefficient is respectively K1、K2；
Formula (9) are substituted into direct cost relational expression:
CD=Cdz·t (10)；
In formula, CD --- flat cost, Wan Yuan；
Very big flat cost can be obtained, normal flat cost is respectively as follows:
C1=K1·x1·ld·Cd0·t1(11)；
C2=K1·x2·ld·Cd0·t2(12)；
Step 4: calculating optimal resource input expression formula:
To the x derivation that formula (3) includes, C` (x, l are enabledd)x=0, it obtains:
X=-2aL/ [ld·(22a+b+β)] (13)；
Step 5: the reasonable sex determination of calculated result:
The second dervative to formula (3) comprising x is sought, and (13) formula, function factor are substituted into, if C`` (x, ld)xx> 0 is set up,
Then (13) formula is optimal resource input, is transferred to and solves in next step；
Step 6: optimal resource input solves:
Function factor substitution (13) formula that model is related to is corresponding to get optimal resource input (optimal teams and groups' quantity)
Duration be the optimal absolute duration；
Step 7: Project Schedule Risk Analysis:
Assuming that moon number of days is dm, the moon is d by external action number of days0, the moon can be d using construction days1, the moon usage factor be
ε, monthly average usage factor areOptimal teams and groups' quantity corresponding absolute duration is t, and the actually required duration is T, then has:
d1=dm-d0(14)；
ε=(dm-d0)/dm(15)；
d1=ε dm(16)；
Month usage factor is smaller illustrates that Schedule schema is bigger, the moon usage factor bigger illustrate that Schedule schema is lower.
Compared with prior art, the present invention is using the resource of pipeline network construction, duration, expense as optimizing index, by external wind
Dangerous factor acquires pipeline network construction overhead cost, flat cost, the mathematical model of total cost and moon usage factor etc. as evaluation object
Parameter.According to teams and groups' quantity, duration and cost function relationship and moon influence number of days, number of days, usage factor, monthly average is utilized to utilize
Coefficient, can obtain expense accounting and teams and groups' quantitative relation curve, duration and expense relation curve, teams and groups-duration and expense relationship are bent
Line and different months influence number of days, using number of days, usage factor distribution curve, required actual construction time, have method for solving simple,
Solve the advantages that object is illustrated.
Detailed description of the invention
Fig. 1 is that the process stages of sewage network construction divide schematic diagram；
Fig. 2 is expense accounting and teams and groups' Figure of the quantitative relationship in sewage network construction；
Fig. 3 is duration and expense relational graph in sewage network construction；
Fig. 4 is teams and groups-duration, expense relational graph in sewage network construction；
Fig. 5 is to influence number of days different months, utilize number of days, usage factor figure.
Specific embodiment
In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention is carried out below further detailed
It describes in detail bright.However, it should be understood that the specific embodiments described herein are merely illustrative of the present invention, it is not limited to this hair
Bright range.
Unless otherwise defined, all technical terms and scientific terms used herein are led with technology of the invention is belonged to
The normally understood meaning of the technical staff in domain is identical, and term as used herein in the specification of the present invention is intended merely to retouch
State the purpose of specific embodiment, it is not intended that in the limitation present invention.
A kind of sewage network working sources method for optimization analysis, comprising the following steps:
Firstly, carrying out procedure analysis.
For pipe-networks engineering, working procedure mainly include surveying setting-out, road surface abolish, supporting, excavation, ground and base
Plinth, pipe laying build well, closed-water test, encapsulating concrete and backfill, road surface recovery.In general, each process is that the flowing water constantly recycled is made
Industry.Each process to be classified, divided stages are shown in Fig. 1 convenient for analysis.As seen from Figure 1, process 1. → 2. for preparation of construction,
Startup stage (first stage)；Process 2. → 5. for implement (circulation) stage (second stage)；Process 5. → 6. for construction ending
Stage (phase III).Second stage plays a crucial role to the duration, and first stage, phase III are mainly according to second stage
Progress carries out operation.
If certain project pipe network total length is L, teams and groups' quantity (working face quantity) is x, and each teams and groups' (each working face) are every
The pipe network length (cyclic advance) that day completes is ld, then there is the duration:
T=L/ (ldX)+1+2+8=L/ (ld·x)+11 (1)；
Step 1: establishing model:
Indirect expense mathematical model are as follows:
CI=β [L/ (ld·x)+11] (2)；
Direct cost mathematical model are as follows:
CD=a [L/ (ld·x)+11]2+b·[L/(ld·x)+11]+c (3)；
Total cost mathematical model are as follows:
C (x, ld)=a [L/ (ld·x)+11]2+(β+b)·[L/(ld·x)+11]+c (4)；
Wherein:
L --- pipe network total length is；
X --- teams and groups' quantity (working face quantity)；
ld--- the pipe network length (cyclic advance) that each teams and groups' (each working face) are completed daily；
B=2 (C2-C1)/(t2-t1)；
t1--- minimum duration, day；
t2--- normal duration, day；
C1——t1Corresponding direct cost；
C2——t2Corresponding direct cost.
β --- indirect rate, β=(C`2-C`1)/(t2-t1)；
C`1——t1Corresponding indirect expense, Wan Yuan；
C`2——t2Corresponding indirect expense, Wan Yuan；
Step 2: establishing restrictive condition:
To ensure the duration in the reasonable scope, investment teams and groups' quantity must be limited in a certain range, the pact that the present invention establishes
Beam condition are as follows:
2000≤L/x≤10000 (5)；
Step 3: the correlation function factor that solving model is related to:
Very big, the minimum teams and groups quantity of facility work investment is respectively x1、x3, the corresponding duration is respectively minimum duration t1、
Very big duration t3；Normal teams and groups' quantity is x2, the corresponding duration is normal duration t2；x1、x2Corresponding indirect expense point
It Wei not C`1、C`2；Enable t2=(t1+t3)/2, then have:
x2=2x1·x3/(x1+x3) (6)；
For indirect expense, can obtain:
CI=Cdj·t (7)；
In formula, CI --- overhead cost, Wan Yuan；
Cdj--- the indirect expense occurred daily, Wan Yuan.
Know β=Cdj。
Then have:
C`1=Cdj·t1(8)；
C`2=Cdj·t2(9)；
For daily flat cost, the functional relation of teams and groups' quantity and expense can be established:
Cdz=Kxld·Cd0(10)；
In formula, Cdz--- daily direct cost, Wan Yuan；
Cd0--- it is the expense of every linear meter(lin.m.), Wan Yuan；
K --- direct cost coefficient related with compression duration size, is herein direct cost related with teams and groups' quantity
Coefficient takes 1.0, x when teams and groups' quantity is 11、x2Corresponding cost coefficient is respectively K1、K2；
Formula (10) are substituted into direct cost relational expression:
CD=Cdz·t (11)；
In formula, CD --- flat cost, Wan Yuan；
Very big flat cost can be obtained, normal flat cost is respectively as follows:
C1=K1·x1·ld·Cd0·t1(12)；
C2=K1·x2·ld·Cd0·t2(13)；
Step 4: calculating optimal resource input expression formula:
To the x derivation that formula (4) includes, C` (x, l are enabledd)x=0, it obtains:
X=-2aL/ [ld·(22a+b+β)] (14)；
Step 5: the reasonable sex determination of calculated result:
The second dervative to formula (4) comprising x is sought, and (14) formula, function factor are substituted into, if C`` (x, ld)xx> 0 is set up,
Then (14) formula is optimal resource input, is transferred to and solves in next step；
Step 6: optimal resource input solves:
Function factor substitution (14) formula that model is related to is corresponding to get optimal resource input (optimal teams and groups' quantity)
Duration be the optimal absolute duration；
Step 7: Project Schedule Risk Analysis: assuming that moon number of days is dm, the moon is d by external action number of days0, construction day can be utilized by the moon
Number is d1, moon usage factor is ε, and monthly average usage factor isOptimal teams and groups' quantity corresponding absolute duration is t, actually required
Duration is T, then has:
d1=dm-d0 (15)
ε=(dm-d0)/dm (16)
d1=ε dm (17)
Month usage factor is smaller illustrates that Schedule schema is bigger, the moon usage factor bigger illustrate that Schedule schema is lower.
Embodiment 1
By taking the transformation of certain villages within the city's sewage as an example, sewage network project amount is shown in Table 1.
Certain the villages within the city's sewage network project amount of table 1
| Serial number | Project | Specification | Unit | Quantity |
| 1 | UPVC drainpipe | DN150 | m | 12698 |
| 2 | UPVC drainpipe | DN200 | m | 9004 |
| 3 | HDPE hollow wall winding arrangement pipe | DN300 | m | 5823 |
| 4 | II grades of reinforced concrete sewage pipes | d300 | m | 1831 |
| 5 | II grades of reinforced concrete sewage pipes | d400 | m | 957 |
| 6 | II grades of reinforced concrete sewage pipes | d500 | m | 380 |
| It is total | 30693 |
Through the ginseng such as direct cost of average daily cyclic advance, every working face can be obtained to construction effect, fee calculating and analysis
Number, see Table 2 for details.
2 correlative charges parameter of table
Indirect expense, the direct cost correlation function factor can be calculated, see Table 3 for details.
As pipe network total length L=30693m, after reasonability determines, it can solve to obtain optimal teams and groups' number to be 7.80, take 8
A, corresponding optimal project duration is 118 days.
The 3 correlation function factor of table and optimum results
The parameters such as corresponding duration, expense under different teams and groups' quantity, see Table 4 for details.
Correlative charges parameter under the different teams and groups' quantity of table 4
According to the functional relation of teams and groups' quantity, duration and expense, expense accounting and teams and groups' quantitative relation curve, duration can be obtained
With expense, teams and groups-duration, expense relation curve, Fig. 2-Fig. 4 is seen.
After different factors influence number of days is summarized, can obtain the moon influences number of days, the moon using number of days, moon usage factor, is shown in Table 5.
It influences number of days table May, summarized using number of days, the moon usage factor moon
Note: rainfall is greater than 5 millimeters (08:00-20:00 precipitation) in rainfall statistics 12 hours and rainfall is greater than in 24 hours
10 millimeters of number of days takes wherein the larger value.
It influences number of days in different months, see Fig. 5 using number of days, usage factor distribution curve.As seen from Figure 5 around the Spring Festival 1,
The rainy season of 2 months and the 4-9 month can be less using number of days, and minimum usage factor is 0.37, and average value 0.55, Schedule schema is larger；
The 10-12 month and March usage factor it is larger, maximum usage factor be 0.84, average value 0.81, Schedule schema is smaller.To Mr. Yu
When the absolute duration is 118 days, if going into operation respectively at October 1 and March 1, reality can be calculated in villages within the city's pipe-networks engineering
The required duration is respectively 159 days and 211 days.
The present invention is first according to pipe network total length L, teams and groups' quantity (working face quantity) x, each teams and groups (each working face)
Pipe network length (cyclic advance) l completed dailydThree parameters establish overhead cost, flat cost, total cost mathematical model；Secondly
Restrictive condition is established, the correlation function factor involved in expense mathematical model is solved；Again in total cost mathematical model
The x derivation for including, obtains teams and groups' quantity；Then the reasonable sex determination of calculated result is carried out, if comprising x in total cost mathematical model
Second dervative is greater than 0, then resulting teams and groups' quantity is optimal resource input (optimal teams and groups' number) after derivation, and optimal teams and groups' number institute is right
The duration answered is the optimal absolute duration；Outer risks factor is to applying when finally assessing different month operations using moon usage factor
Work influence (moon usage factor it is smaller illustrate that Schedule schema is bigger, the moon usage factor bigger illustrate that Schedule schema is lower), and adopt
The actually required duration is calculated with monthly average usage factor.
The present invention is using the resource of pipeline network construction, duration, expense as optimizing index, using Outer risks factor as evaluation pair
As acquiring the parameters such as pipeline network construction overhead cost, flat cost, the mathematical model of total cost and moon usage factor.According to teams and groups' number
Amount, duration and cost function relationship and the moon influence number of days, using number of days, usage factor, monthly average usage factor, and the expense that can obtain accounts for
Than being influenced from teams and groups quantitative relation curves, duration and expense relation curve, teams and groups-duration and expense relation curve and different months
Number of days, using number of days, usage factor distribution curve, required actual construction time, have method for solving simple, solve object be illustrated etc. it is excellent
Point.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention
Made any modification, equivalent replacement or improvement etc., should all be included in the protection scope of the present invention within mind and principle.
Claims (2)
1. a kind of sewage network working sources optimization and Project Schedule Risk Analysis method, it is characterised in that:
First establish overhead cost, flat cost, total cost mathematical model；
Secondly, establishing restrictive condition；
Teams and groups' quantitative expression is calculated to total cost mathematical model again；
Then the reasonable sex determination of calculated result is carried out, is transferred to if rationally if result and solves in next step；
Influence of the Outer risks factor to construction when finally assessing different month operations, and obtain the actually required duration.
2. a kind of sewage network working sources optimization according to claim 1 and Project Schedule Risk Analysis method, feature exist
In: the following steps are included:
Step 1: establishing the expense mathematical model in sewage network construction:
Indirect expense model is CI=β [L/ (ld·x)+11] (1)；
Direct cost model is CD=a [L/ (ld·x)+11]2+b·[L/(ld·x)+11]+c (2)；
Total cost mathematical model is C (x, ld)=a [L/ (ld·x)+11]2+(β+b)·[L/(ld·x)+11]+c
(3)；
Wherein: L --- pipe network total length is；X --- teams and groups' quantity；ld--- the pipe network length that each teams and groups complete daily；
B=2 (C2-C1)/(t2-t1)；
t1--- minimum duration, day；
t2--- normal duration, day；
C1——t1Corresponding direct cost；
C2——t2Corresponding direct cost；
β --- indirect rate, β=(C`2-C`1)/(t2-t1)；
C`1——t1Corresponding indirect expense, Wan Yuan；
C`2——t2Corresponding indirect expense, Wan Yuan；
Step 2: setting up the restrictive condition of investment teams and groups' quantity:
2000≤L/x≤10000 (4)；
Step 3: the function factor that solving model is related to:
If very big, the minimum teams and groups quantity of investment is respectively x1、x3, the corresponding duration is respectively minimum duration t1, very big duration
t3；Normal teams and groups' quantity is x2, the corresponding duration is normal duration t2；x1、x2Corresponding indirect expense is respectively C`1、C
`2；Enable t2=(t1+t3)/2, then have:
x2=2x1·x3/(x1+x3) (5)；
For indirect expense, can obtain:
CI=Cdj·t (6)；
In formula, CI --- overhead cost, Wan Yuan；
Cdj--- the indirect expense occurred daily, Wan Yuan；
Know β=Cdj；
Then have:
C`1=Cdj·t1(7)；
C`2=Cdj·t2(8)；
For daily flat cost, the functional relation of teams and groups' quantity and expense can be established:
Cdz=Kxld·Cd0(9)；
In formula, Cdz--- daily direct cost, Wan Yuan；
Cd0--- it is the expense of every linear meter(lin.m.), Wan Yuan；
K --- direct cost coefficient related with compression duration size, is herein direct cost coefficient related with teams and groups' quantity,
1.0, x are taken when teams and groups' quantity is 11、x2Corresponding cost coefficient is respectively K1、K2；
Formula (9) are substituted into direct cost relational expression:
CD=Cdz·t (10)；
In formula, CD --- flat cost, Wan Yuan；
Very big flat cost can be obtained, normal flat cost is respectively as follows:
C1=K1·x1·ld·Cd0·t1(11)；
C2=K1·x2·ld·Cd0·t2(12)；
Step 4: calculating optimal resource input expression formula:
To the x derivation that formula (3) includes, C` (x, l are enabledd)x=0, it obtains:
X=-2aL/ [ld·(22a+b+β)] (13)；
Step 5: the reasonable sex determination of calculated result:
The second dervative to formula (3) comprising x is sought, and (13) formula, function factor are substituted into, if C`` (x, ld)xx> 0 is set up, then
(13) formula is optimal resource input, is transferred to and solves in next step；
Step 6: optimal resource input solves:
The function factor that model is related to substitutes into (13) formula to get optimal resource input, and the corresponding duration is optimal absolute
Duration；
Step 7: Project Schedule Risk Analysis:
Assuming that moon number of days is dm, the moon is d by external action number of days0, the moon can be d using construction days1, moon usage factor is ε, the moon
Mean utilization isOptimal teams and groups' quantity corresponding absolute duration is t, and the actually required duration is T, then has:
d1=dm-d0(14)；
ε=(dm-d0)/dm(15)；
d1=ε dm(16)；
Month usage factor is smaller illustrates that Schedule schema is bigger, the moon usage factor bigger illustrate that Schedule schema is lower.
Priority Applications (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910277262.5A CN110020753A (en) | 2019-04-08 | 2019-04-08 | A kind of optimization of sewage network working sources and Project Schedule Risk Analysis method |
| CN202311578386.XA CN117557052A (en) | 2019-04-08 | 2019-04-08 | Sewage pipe network construction resource investment optimization analysis method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910277262.5A CN110020753A (en) | 2019-04-08 | 2019-04-08 | A kind of optimization of sewage network working sources and Project Schedule Risk Analysis method |
Related Child Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202311578386.XA Division CN117557052A (en) | 2019-04-08 | 2019-04-08 | Sewage pipe network construction resource investment optimization analysis method |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN110020753A true CN110020753A (en) | 2019-07-16 |
Family
ID=67190770
Family Applications (2)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910277262.5A Pending CN110020753A (en) | 2019-04-08 | 2019-04-08 | A kind of optimization of sewage network working sources and Project Schedule Risk Analysis method |
| CN202311578386.XA Pending CN117557052A (en) | 2019-04-08 | 2019-04-08 | Sewage pipe network construction resource investment optimization analysis method |
Family Applications After (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202311578386.XA Pending CN117557052A (en) | 2019-04-08 | 2019-04-08 | Sewage pipe network construction resource investment optimization analysis method |
Country Status (1)
| Country | Link |
|---|---|
| CN (2) | CN110020753A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112257977A (en) * | 2020-09-15 | 2021-01-22 | 合肥工业大学 | Logistics project construction period optimization method and system with resource limitation under fuzzy man-hour |
-
2019
- 2019-04-08 CN CN201910277262.5A patent/CN110020753A/en active Pending
- 2019-04-08 CN CN202311578386.XA patent/CN117557052A/en active Pending
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112257977A (en) * | 2020-09-15 | 2021-01-22 | 合肥工业大学 | Logistics project construction period optimization method and system with resource limitation under fuzzy man-hour |
| CN112257977B (en) * | 2020-09-15 | 2022-11-08 | 合肥工业大学 | Logistics project construction period optimization method and system with resource limitation under fuzzy man-hour |
Also Published As
| Publication number | Publication date |
|---|---|
| CN117557052A (en) | 2024-02-13 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN103544533B (en) | A kind of water diversion project water resource optimal allocation dynamic model constructing system | |
| Meng et al. | Fuzzy comprehensive evaluation model for water resources carrying capacity in Tarim River Basin, Xinjiang, China | |
| CN104809516B (en) | Irrigation areas Programming for Multiobjective Water Resources Optimal Allocation Model and its method for solving | |
| Lv et al. | Quantitative assessment of ecological compensation for groundwater overexploitation based on emergy theory | |
| CN104050515A (en) | Water resource allocation method based on annual sequential decision | |
| Qiao et al. | Assessing current and future soil erosion under changing land use based on InVEST and FLUS models in the Yihe River Basin, North China | |
| Jiang et al. | Study on the sediment and phosphorus flux processes under the effects of mega dams upstream of Yangtze River | |
| CN110020753A (en) | A kind of optimization of sewage network working sources and Project Schedule Risk Analysis method | |
| CN103614997A (en) | Earth borrowing method in process of highway construction | |
| CN106934659A (en) | Highway engineering material cost difference method of adjustment and system | |
| CN106599560A (en) | GIS-based slope collapse distribution statistical method | |
| CN110378611A (en) | Sponge control index based on GIS examines and appraisal procedure and system | |
| Sun et al. | Estimating water pollution and economic cost embodied in the mining industry: An interprovincial analysis in China | |
| CN106021850A (en) | Entropy weight TOPSIS method based earth excavation machine combination analysis method | |
| CN115660456A (en) | Ecological damage assessment accounting system method for mineral resource development | |
| CN114897233A (en) | Rural domestic sewage treatment mode optimization method based on spatial clustering improved algorithm | |
| CN111539596A (en) | Storage regulation capability evaluation method for drainage basin grey infrastructure | |
| CN104217102A (en) | Integrated method for calculating volume and load capacity of low pollution water in lake basin | |
| CN109992904A (en) | A kind of depression of karst area-spring system water equilibrium calculation method | |
| Yang | The Method and Basis of Dam Location Selection | |
| Xu et al. | The Effects of Water Resource Restrictions on Sustainable Development in Semi-Arid Regions: A Case Study of Tongliao City, Inner Mongolia | |
| Mills | Construction cost forecast model: model documentation and technical notes. | |
| Rao et al. | Research on Resettlement and Resettlement of Water Conservancy Projects | |
| Yang et al. | An improved index system of regional water ecological carrying capacity evaluation: a case study of Tieling City, China | |
| Lin et al. | Surface water quality assessment using hybrid multivariate statistical analysis and geographic information system based on integrated water quality index model for Maozhou River Basin, Guangdong, China |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination |