CN104376375B - Marine ships oil spill accident emergency resources concocting method based on multi objective fuzzy planning - Google Patents

Marine ships oil spill accident emergency resources concocting method based on multi objective fuzzy planning Download PDF

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CN104376375B
CN104376375B CN201410637997.1A CN201410637997A CN104376375B CN 104376375 B CN104376375 B CN 104376375B CN 201410637997 A CN201410637997 A CN 201410637997A CN 104376375 B CN104376375 B CN 104376375B
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付钰
吴晓平
李洪成
陈泽茂
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Naval University of Engineering PLA
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Abstract

The invention discloses a kind of marine ships oil spill accident emergency resources concocting method based on multi objective fuzzy planning, including：1st, uncertain hours underway and resources requirement are expressed as Triangular Fuzzy Number, fuzzy being determined of emergency start time is represented with the full integration of time membership function, represent that the resource quantity that oil spilling point is received meets the degree of demand with demand degree of membership, so as to set the ageing and demand satisfaction object function of emergency system.2nd, the total nevigation safety index of ship will be rescued maximum as security objectives, rescue ship sum is minimum as economy partial objectives for.3rd, nondimensionalization is carried out to each partial objectives for, Multiobjective programming models is set up by optimization aim of the ageing of system, demand satisfaction, security and economy using weigthed sums approach.The present invention can effectively process the uncertainty of rescue ship hours underway and oil spilling point resources requirement.

Description

Marine ships oil spill accident emergency resources concocting method based on multi objective fuzzy planning
Technical field
The present invention relates to oil spill accident emergency resources blending technology field, multi objective fuzzy is based in particular to one kind The marine ships oil spill accident emergency resources concocting method of planning.
Background technology
Because China's oil import volume increases year by year in recent years, the generation of marine ships oil spill accident is more and more frequent. During oil spill accident emergency management and rescue, rationally efficiently allotment emergency resources are economical for the diffusion and reduction of control pollution Loss is most important.However, marine emergency environmental has, the condition of a disaster cannot accurately be estimated, natural conditions are severe, sea situation and meteorological shape The features such as condition changes unpredictably, in addition, fire caused by oil spill accident or explode to emergent ship navigation safety and rescued Journey safety belt carrys out great risk.Therefore, marine ships oil spill accident emergency resources allotment allocates problem phase with other emergency resources Than there is its particularity, it is mainly reflected in：The resources requirement of oil spilling point and dispatching boat trip time have very strong uncertain Property；Dispatching boat trip process faces very big danger in itself；Marine oil overflow accident is triggered by natural calamity more, therefore often It is related to multiple oil spilling points.Analyzed based on more than, it is necessary to consider each side factor in spill response rescue operations, carry Go out marine ships oil spill accident emergency resources concocting method.
Current emergency resources allotment is main using methods such as path optimization, Combinatorial Optimization and goal programmings.
1. the method for path optimization is based on：In having the emergency system of multiple demand points, from the dispatching of single emergency resources The heart sets out single unit vehicle or ship to the touring dispatching of multiple demand points, transported between home-delivery center and each demand point considering In the case of the factors such as time, cost of transportation and each demand point resources requirement, set up Optimized model and solve optimal dispatching road Footpath so that total time of dispatching is most short, cost is minimum.The shortcoming of the method is the money that cannot process many emergency resources home-delivery centers Problem is allocated in source, and the mode of touring dispatching is not suitable for ageing exigent emergent accident handling problems.
2. the method for Combinatorial Optimization is based on：Problem is allocated in the emergency resources of many emergency resources home-delivery centers and single demand point In, it is considered to the constraints such as time urgency, it is determined that participating in emergency resources home-delivery center and the dispatching of each emergency resources of dispatching The resource quantity that center is set out.The shortcoming of the method is the resource allocation problem that cannot process multi-requirement points.
3. the method for goal programming is based on：Problem is allocated in the emergency resources of many emergency resources home-delivery centers and multi-requirement points In, multiple vehicles or the ship reality between each emergency resources home-delivery center and each demand point respectively are set out using Direct Distribution mode Emergency resources dispatching is applied, it is target to dispense the deadline most short to meet an urgent need, calculated by each emergent using the method for Mathematical Planning Resource home-delivery center is sent to all kinds of resource quantities of each demand point, the i.e. optimal case of emergency resources allotment.The shortcoming of the method It is that the setting of object function often while consider all requirements of emergent allotment, and cannot cannot consider emergency environmental Uncertain factor.
Bibliography：The emergent distribution vehicle allotment optimizing research summaries of Tan Xiaoyong, Liu Qiu chrysanthemum and prospect computer applications Research, 2012,29 (9)：3212-3215.
Bibliography：Liu Chunlin, Shi Jianjun, the research of the fuzzy emergency system Combinatorial Optimization Scheme Choice problems of Li Chunyu [J] management engineering journals, 2002,16 (2)：25-28.
Bibliography：Thank Venus, Xue Yi Optimization Modelings and LINDO/LINGO software Beijing：Publishing house of Tsing-Hua University, 2005。
The content of the invention
Present invention aim to provide a kind of emergent money of the marine ships oil spill accident based on multi objective fuzzy planning Source concocting method, the method has taken into full account the actual environment and actual requirement of marine ships oil spill accident emergency resources allotment, The uncertainty of dispatching boat trip time and oil spilling point resources requirement is effectively processed, and the security of ship will have been dispensed and made It is one of optimization aim, while establishing the economy objectives function suitable for marine emergent dispatching actual conditions.So as to Solve most timely in the case of resource-constrained, efficient, safe, economic scheme.
In order to achieve this, the emergent money of the marine ships oil spill accident based on multi objective fuzzy planning designed by the present invention Source concocting method, it is characterised in that it comprises the following steps：
Step 1：The quantity of known emergency resources home-delivery center is n, and each emergency resources home-delivery center is designated as A respectively1, A2,…,Ai,…,An, 1≤i≤n, after marine ships oil spill accident occurs, the GIS-Geographic Information System using satellite determines generation The number m of the oil spilling point of oil spill accident, and each oil spilling point is designated as B1,B2,…,Bj,…,Bm, 1≤j≤m, by positioning Each emergency resources home-delivery center is obtained the distance between to each oil spilling point, obtains dispensing the most fast cruise of ship by query argument Speed, with emergency resources home-delivery center AiTo oil spilling point BjDistance divided by cruising speed, obtain dispatching ship match somebody with somebody in emergency resources Send center AiTo oil spilling point BjBetween hours underway most probable value tm ij, because marine wind direction and seawater flow direction are to dispatching ship speed Degree influence is larger, and the direction and speed time variation of sea wind and ocean current are stronger, therefore rule of thumb formula calculates dispatching ship In emergency resources home-delivery center AiTo oil spilling point BjBetween maximum hours underway tr ijWith minimum hours underway tl ij, maximum navigation Time tr ijComputing formula be tr ij=1.2*tm ij, minimum hours underway tl ijComputing formula be tl ij=0.8*tm ij, dispense ship Only in emergency resources home-delivery center AiTo oil spilling point BjBetween hours underway be expressed as fuzzy number
Marine ships oil spill accident emergency resources are oil receiving equipment, the receipts that staff is inquired about in each emergency resources home-delivery center Oil machine lays in number of units, obtains the oil receiving equipment deposit number of units a in each emergency resources home-delivery centeri, and obtained respectively using satellite photo Oil spill area at individual oil spilling point, oil spilling point B is calculated according to following empirical equationjThe most probable value b of resources requirementm j, most Small value bl jWith maximum br j：
Wherein, M is oil spill area, symbolExpression rounds up, bm j、bl jAnd br jUnit be platform, oil spilling point BjShould Anxious resources requirement is represented by fuzzy number
Then, dispatching ship is calculated in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes, Because the danger that dispatching ship faces is blast or the fire caused by oil spilling, so the safety indexes and oil spilling of dispatching ship Area is closely related, and definition dispatching ship is in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes be pij, its computing formula is：
pij=1/M
Wherein, M is oil spill area；
Step 2：Set following marine ships oil spill accident emergency resources allotment constraints：
For any one emergent home-delivery center Ai, the actual provision amount of oil receiving equipment is not more than the holding station of the oil receiving equipment Number, i.e.,Wherein, qijIt is emergency resources home-delivery center AiShould be to oil spilling point BjThe oil receiving equipment number of units of dispatching, aiFor Oil receiving equipment deposit number of units in each emergency resources home-delivery center；
Oil spilling point BjThe number of units of the oil receiving equipment for receiving is not less than oil spilling point BjTo the minimum value of oil receiving equipment demandI.e.
Step 3：By 301~step 304 of following steps, to dispatching ship in emergency resources home-delivery center AiTo oil spilling point BjBetween hours underway fuzzy numberBeing determined treatment, the ageing target letter of setting oil spill accident emergency resources allotment Number, and on the premise of constraints is met, solve the maximum and minimum value of ageing object function；
Step 301：Use variable xij∈ { 0,1 } reflects emergency resources home-delivery center AiTo oil spilling point BjUpper dispatching ship leads to Situation about crossing, when needing dispatching ship from emergency resources home-delivery center AiToward oil spilling point BjDuring dispatching resource, xij=1；Otherwise, xij =0, i.e.,
Step 302：Due to for any one oil spilling point Bj, its oil spill accident emergency resources allotment deadline is all To oil spilling point BjThe hours underway that the dispatching ship of dispatching is all arrived at, so any one oil spilling point BjOil spill accident should The fuzzy number of anxious resource allocation deadlineFor
Wherein Tl jRepresent oil spilling point BjThe emergent dispatching deadline minimum value, Tm jRepresent oil spilling point BjEmergent dispatching The most probable value of deadline, Tr jRepresent oil spilling point BjThe emergent dispatching deadline maximum；
If any one oil spilling point BjOil spill accident emergency resources allocate the deadline fuzzy numberMembership function For：
Wherein,It is left membership function, It is right membership function, TjRepresent toward oil spilling point BjDispense the hours underway that all ships of resource are all arrived at, i.e. oil spilling point Bj's The contingency tasks deadline；
Oil spilling point BjThe emergent dispatching deadlineUse above-mentioned fuzzy numberFull integral representation be：
Wherein, α is optimistic coefficient, α ∈ (0,1)；
Step 303：Each oil spilling point B during marine ships oil spill accident emergency resources are allocatedjThe emergent dispatching deadline Mean value definition dispenses deadline T for average meeting an urgent need, and the timeliness that T is allocated as marine ships oil spill accident emergency resources Property subhead scalar functions, marine ships oil spill accident emergency resources can be obtained allocate the expression formula of ageing object function and be：
Step 304：Before the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is met Put, the ageing partial objectives for that above-mentioned marine ships oil spill accident emergency resources are allocated is solved using existing mathematical programming approach The maximum of T of function TmaxWith minimum value Tmin；
Step 4：By 401~step 404 of following steps, to oil spilling point emergency resources being determined of demand for obscuring Treatment, the demand satisfaction object function of setting marine ships oil spill accident emergency resources allotment, and meeting represented by step 2 On the premise of the marine ships oil spill accident emergency resources allotment constraints for going out, the maximum of demand satisfaction object function is solved Value and minimum value；
Step 401：Defined variable cjRepresent oil spilling point BjThe oil receiving equipment number of units being an actually-received, i.e.,
Step 402：Oil spilling point BjResource requirement satisfactionIt is oil spilling point BjThe oil receiving equipment number of units c that point is receivedj It is updated to emergency resources demand fuzzy numberFuzzy membership function in the numerical value that obtains,Computing formula be：
By oil spilling point BjThe mean value definition of middle marine ships oil spill accident emergency resources allotment demand satisfaction is oil spilling Point BjMarine ships oil spill accident emergency resources allotment demand satisfaction Qj, Q can be obtainedjExpression formula be：
Step 403：By each oil spilling point B in marine ships oil spill accident emergency resources allocation processjDemand satisfaction QjIt is flat Average is defined as the average demand satisfaction Q of marine ships oil spill accident emergency resources allocation process, and by marine ships oil spilling The average demand satisfaction Q of accident emergency resource allocation process expires as the demand that marine ships oil spill accident emergency resources are allocated Meaning degree object function, can obtain marine ships oil spill accident emergency resources allotment demand Satisfaction index object function expression formula be：
Step 404：Before the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is met Put, the demand satisfaction target letter of marine ships oil spill accident emergency resources allotment is solved using existing mathematical programming approach The maximum Q of number QmaxWith minimum value Qmin；
Step 5：The security objectives function of emergency system is set in the following way：Using the method taken the logarithm to dispatching Ship is in emergency resources home-delivery center AiTo oil spilling point BjBetween the safety indexes navigated by water enter row index conversion, and to dispense ship Only total nevigation safety index allocates security objectives function as marine ships oil spill accident emergency resources, can obtain offshore vessel The expression formula of oceangoing ship oil spill accident emergency resources allotment security objectives function S is：
Wherein, pijIt is to dispense ship in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes, Variable xijIt is emergency resources home-delivery center AiTo oil spilling point BjThe situation that upper dispatching ship passes through；
Then, the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is being met Under, solve marine ships oil spill accident emergency resources allotment security objectives function S most using existing mathematical programming approach Big value SmaxWith minimum value Smin；
Step 6：The economy objectives function that marine ships oil spill accident emergency resources are allocated is set with following manner：To match somebody with somebody The economy objectives function for sending ship total number X to be allocated as marine ships oil spill accident emergency resources, its expression formula is：
Then, the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is being met Under, solve the economy objectives function X's of marine ships oil spill accident emergency resources allotment using existing mathematical programming approach Maximum XmaxWith minimum value Xmin；
Step 7：By 701~step 703 of following steps, the catalogue of setting marine ships oil spill accident emergency resources allotment Scalar functions；
Step 701：By the ageing of marine ships oil spill accident emergency resources allotment, demand satisfaction, security and warp Ji property regards the multiple partial objectives in same priority as, should using existing linear weighting method setting marine ships oil spill accident The catalogue scalar functions of anxious resource allocation, dimensionless is carried out to ageing, demand satisfaction, security and economy subhead target value Change is processed, if ageing, the demand satisfaction, security and economy subhead target value after nondimensionalization treatment are respectively GT、 GQ、GSAnd GX, then their expression formula be：
GT=(Tmax-T)/(Tmax-Tmin),
GQ=(Qmax-Q)/(Qmax-Qmin),
GS=(Smax-S)/(Smax-Smin),
GX=(Xmax-X)/(Xmax-Xmin)
Wherein, TmaxIt is the maximum of the ageing subhead scalar functions T of marine ships oil spill accident emergency resources allotment, Tmin It is the minimum value of the ageing subhead scalar functions T of marine ships oil spill accident emergency resources allotment；QmaxIt is marine ships oil spilling thing Therefore the maximum of the demand satisfaction object function Q of emergency resources allotment, QminFor marine ships oil spill accident emergency resources are allocated Demand satisfaction object function Q minimum value；SmaxFor marine ships oil spill accident emergency resources allocate security objectives function The maximum of S, SminIt is the minimum value of marine ships oil spill accident emergency resources allotment security objectives function S；XmaxIt is sea The maximum of the economy objectives function X of oil spill accident emergency resources allotment, XminIt is the emergent money of marine ships oil spill accident The minimum value of the economy objectives function X of source allotment；T is the ageing partial objectives for of marine ships oil spill accident emergency resources allotment Function, i.e., average emergent dispatching deadline；Q is the demand satisfaction target letter of marine ships oil spill accident emergency resources allotment Number, i.e., the average demand satisfaction Q of each oil spilling point in marine ships oil spill accident emergency resources allocation process；S is marine ships Oil spill accident emergency resources allocate security objectives function, that is, dispense the total nevigation safety index of ship；X overflows for marine ships The economy objectives function of oily accident emergency resource allocation, that is, dispatching ship sum of meeting an urgent need；
Step 702：Marine ships oil spill accident emergency resources formulation requirements averagely emergent dispatching deadline T is smaller more Good, average demand satisfaction Q is the bigger the better, and the total nevigation safety index S of dispatching ship is the bigger the better, and dispenses ship total number X It is the smaller the better, and, in the nondimensionalization expression formula of subhead scale value, each subhead scale value is with it by after nondimensionalization treatment Value is inversely proportional, therefore, the expression formula of the catalogue scalar functions of marine ships oil spill accident emergency resources allotment should be：
G=GT-GQ-GS+GX
Step 703：Before the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is met Put, the catalogue scalar functions G for solving the allotment of marine ships oil spill accident emergency resources using existing mathematical programming approach takes maximum Corresponding q during valueijValue, wherein, 1≤i≤n, 1≤j≤m, the q for now obtainingijAs emergency resources home-delivery center AiShould To oil spilling point BjThe oil receiving equipment number of units of dispatching, dispatching ship is according to the qijResult carry out marine ships oil spill accident emergency resources Allotment.
Beneficial effects of the present invention：The actual environment and reality of the allotment of marine ships oil spill accident emergency resources are taken into full account Border requirement, has effectively processed the uncertainty of dispatching boat trip time and oil spilling point resources requirement, and will dispense ship Security is used as one of optimization aim, while establishing the economy objectives function suitable for marine emergent dispatching actual conditions. So as to solve most timely, efficient, safe, economic scheme in the case of resource-constrained.The present invention is answered relative to existing Anxious resource allocation method mainly has following advantage：
1st, calculated scheme can meet all requirements of marine ships oil spill accident emergency resources allotment.
(1) existing emergency resources concocting method does not account for contingency procedure dangerous problem in itself, and what is drawn emergent matches somebody with somebody Sending scheme cannot ensure to dispense the security of ship.The present invention is likely to marine in view of the priming factorses of oil spill accident Natural calamity, and fire caused by oil spill accident or the navigation safety and rescue operations safety belt that explode to dispatching ship come Great risk.Therefore it is the danger of emergent boat trip is minimum as one of optimization aim, it is ensured that emergent boat trip Danger it is as small as possible.
(2) existing emergency resources concocting method does not account for the demand satisfaction problem of demand point.However, in contingency procedure In, if the resource of dispatching is too many, the wasting of resources can be caused；If the resource of dispatching is very little, oil spilling point cannot be met Resource requirement.The present invention is directed to this problem, using the average demand satisfaction of oil spilling point as one of optimization aim, can be in resource In the case of limited, it is ensured that the demand satisfaction of each oil spilling point is tried one's best height, that is, ensure the resource quantity that each oil spilling point is received It is unlikely to too many or very little, as far as possible close to the most probable resources requirement of each oil spilling point.
2nd, suitable for the actual environment of marine ships oil spill accident emergency resources allotment.
(1) existing emergency resources concocting method without simultaneously consider dispatching the boat trip time and resources requirement it is not true It is qualitative.The present invention has carried out determinization expression to the resources requirement of uncertain emergent boat trip time and oil spilling point, instead The percentage contribution of maximum, most probable and minimum hours underway to the dispatching deadline of meeting an urgent need is reflected, and has utilized demand degree of membership The resource quantity that expression oil spilling point is received meets the degree of demand.
(2) existing method is not suitable for marine emergent money using resource weight and dispatching distance as economy objectives function The actual conditions of source dispatching.The present invention considers that marine emergent cost depends primarily on the reality for setting out ship quantity, to dispense Ship sum is minimum as emergency system economy partial objectives for, more scientific and reasonable.
Brief description of the drawings
Fig. 1 is FB(flow block) of the invention；
Specific embodiment
Below in conjunction with the drawings and specific embodiments, the present invention is described in further detail：
The marine ships oil spill accident emergency resources concocting method planned based on multi objective fuzzy as shown in Figure 1, due to sea Upper natural conditions are changeable and the condition of a disaster cannot accurately be estimated, so the resource requirement measurer of rescue ship hours underway and each oil spilling point There is uncertainty.This kind of uncertain problem is processed using most typical Triangular Fuzzy Number, is comprised the following steps that：
Step 1：The quantity of known emergency resources home-delivery center is n, and each emergency resources home-delivery center (at least two) is respectively It is designated as A1,A2,…,Ai,…,An, 1≤i≤n, after marine ships oil spill accident occurs, using the GIS-Geographic Information System of satellite (GIS, Geographic Information System) determines the number m of the oil spilling point that oil spill accident occurs (at sea Under natural calamity or other contingency conditions, typically at least two oil spilling points), and each oil spilling point is designated as B1,B2,…,Bj,…, Bm, 1≤j≤m obtained each emergency resources home-delivery center the distance between to each oil spilling point, obtained by query argument by positioning To the most fast cruising speed (cruising speed of damage will not be caused when navigating by water to engine) of dispatching ship, matched somebody with somebody with emergency resources Send center AiTo oil spilling point BjDistance divided by cruising speed, obtain dispatching ship in emergency resources home-delivery center AiTo oil spilling point Bj Between hours underway most probable value tm ij, because marine wind direction and seawater flow direction are larger on dispatching ship speed influence, and sea wind and The direction of ocean current and speed time variation are stronger, therefore rule of thumb formula calculates dispatching ship in emergency resources home-delivery center AiArrive Oil spilling point BjBetween maximum hours underway tr ijWith minimum hours underway tl ij(wherein maximum hours underway tr ijRepresent ship against the wind Hours underway when sailing against the current, minimum hours underway tl ijHours underway when representing that ship is sailed with the current with the wind), maximum navigation Time tr ijComputing formula be tr ij=1.2*tm ij, minimum hours underway tl ijComputing formula be tl ij=0.8*tm ij, dispense ship Only in emergency resources home-delivery center AiTo oil spilling point BjBetween hours underway be expressed as fuzzy number
Marine ships oil spill accident emergency resources are oil receiving equipment, the receipts that staff is inquired about in each emergency resources home-delivery center Oil machine lays in number of units, obtains the oil receiving equipment deposit number of units a in each emergency resources home-delivery centeri, and obtained respectively using satellite photo Oil spill area at individual oil spilling point, oil spilling point B is calculated according to following empirical equationjThe most probable value b of resources requirementm j, most Small value bl jWith maximum br j：
Wherein, M is oil spill area (unit for square metre), symbolExpression rounds up, bm j、bl jAnd br jUnit be Platform, oil spilling point BjEmergency resources demand be represented by fuzzy numberScheme is appreciated that herein If being oil spilling point BjThe resource quantity (oil receiving equipment number of units) for receiving is less than oil spilling point BjThe minimum value b of resources requirementl j, then Oil spilling point BjThe resource (oil receiving equipment number of units) for receiving cannot necessarily meet demand, and now distribution project is infeasible；If Oil spilling point BjThe resource quantity for receiving is more than oil spilling point BjThe maximum b of resources requirementr j, then oil spilling point BjThe money for receiving Source certainly exists waste；
Then, dispatching ship is calculated in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes, Because the danger that dispatching ship faces is blast or the fire caused by oil spilling, so the safety indexes and oil spilling of dispatching ship Area is closely related, and definition dispatching ship is in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes be pij, its computing formula is：
pij=1/M
Wherein, M is oil spill area (unit for square metre)；
The purpose of marine ships oil spill accident emergency resources allotment of the invention is to provide a kind of distribution project, that is, determining should Anxious resource home-delivery center AiShould be to oil spilling point BjThe resource quantity q of dispatchingijSo that marine ships oil spill accident emergency resources are allocated In each oil spilling point BjThe average emergent dispatching deadline earliest, average demand Maximum Satisfaction, rescue ship nevigation safety Index is maximum and movable cost of meeting an urgent need is minimum；
Step 2：Set following marine ships oil spill accident emergency resources allotment constraints：
For any one emergent home-delivery center Ai, the actual provision amount of oil receiving equipment is not more than the holding station of the oil receiving equipment Number, i.e.,Wherein, qijIt is emergency resources home-delivery center AiShould be to oil spilling point BjThe oil receiving equipment number of units of dispatching, aiFor Oil receiving equipment deposit number of units in each emergency resources home-delivery center；
Oil spilling point BjThe number of units of the oil receiving equipment for receiving is not less than oil spilling point BjTo the minimum value b of oil receiving equipment demandl j, i.e.,Otherwise the program cannot complete contingency tasks；
Step 3：By 301~step 304 of following steps, to dispatching ship in emergency resources home-delivery center AiTo oil spilling point BjBetween hours underway fuzzy numberBeing determined treatment, the ageing target letter of setting oil spill accident emergency resources allotment Number, and on the premise of constraints is met, solve the maximum and minimum value of ageing object function；
Step 301：Use variable xij∈ { 0,1 } reflects emergency resources home-delivery center AiTo oil spilling point BjUpper dispatching ship leads to Situation about crossing, when needing dispatching ship from emergency resources home-delivery center AiToward oil spilling point BjDuring dispatching resource, xij=1；Otherwise, xij =0, i.e.,
Step 302：Due to for any one oil spilling point Bj, its oil spill accident emergency resources allotment deadline is all To oil spilling point BjThe hours underway that the dispatching ship of dispatching is all arrived at, so any one oil spilling point BjOil spill accident should The fuzzy number of anxious resource allocation deadlineFor
Wherein Tl jRepresent oil spilling point BjThe emergent dispatching deadline minimum value, Tm jRepresent oil spilling point BjEmergent dispatching The most probable value of deadline, Tr jRepresent oil spilling point BjThe emergent dispatching deadline maximum；
If any one oil spilling point BjOil spill accident emergency resources allocate the deadline fuzzy numberDegree of membership letter Number is：
Wherein,It is left membership function, It is right membership function, TjRepresent toward oil spilling point BjDispense the hours underway that all ships of resource are all arrived at, i.e. oil spilling point Bj's The contingency tasks deadline；
Oil spilling point BjThe emergent dispatching deadlineUse above-mentioned fuzzy numberFull integral representation be：
Wherein, α is optimistic coefficient, α ∈ (0,1)；
Step 303：Each oil spilling point B during marine ships oil spill accident emergency resources are allocatedjThe emergent dispatching deadline Mean value definition dispenses deadline T for average meeting an urgent need, and the timeliness that T is allocated as marine ships oil spill accident emergency resources Property subhead scalar functions, marine ships oil spill accident emergency resources can be obtained allocate the expression formula of ageing object function and be：
Step 304：Before the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is met Put, the ageing partial objectives for that above-mentioned marine ships oil spill accident emergency resources are allocated is solved using existing mathematical programming approach The maximum of T of function TmaxWith minimum value Tmin；
Step 4：By 401~step 404 of following steps, to oil spilling point emergency resources being determined of demand for obscuring Treatment, the demand satisfaction object function of setting marine ships oil spill accident emergency resources allotment, and meeting represented by step 2 On the premise of the marine ships oil spill accident emergency resources allotment constraints for going out, the maximum of demand satisfaction object function is solved Value and minimum value；
Step 401：Defined variable cjRepresent oil spilling point BjThe oil receiving equipment number of units being an actually-received, i.e.,
Step 402：Oil spilling point BjResource requirement satisfactionIt is oil spilling point BjThe oil receiving equipment number of units c that point is receivedj It is updated to emergency resources demand fuzzy numberFuzzy membership function in the numerical value that obtains, method detailed sees reference document (Liu Chunlin, Shi Jianjun, research [J] management engineering journals of the fuzzy emergency system Combinatorial Optimization Scheme Choice problems of Li Chunyu, 2002,16 (2)：25-28.),Computing formula be：
By oil spilling point BjThe mean value definition of middle marine ships oil spill accident emergency resources allotment demand satisfaction is oil spilling Point BjMarine ships oil spill accident emergency resources allotment demand satisfaction Qj, Q can be obtainedjExpression formula be：
Step 403：By each oil spilling point B in marine ships oil spill accident emergency resources allocation processjDemand satisfaction QjIt is flat Average is defined as the average demand satisfaction Q of marine ships oil spill accident emergency resources allocation process, and by marine ships oil spilling The average demand satisfaction Q of accident emergency resource allocation process expires as the demand that marine ships oil spill accident emergency resources are allocated Meaning degree object function, can obtain marine ships oil spill accident emergency resources allotment demand Satisfaction index object function expression formula be：
Step 404：Before the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is met Put, the demand satisfaction target letter of marine ships oil spill accident emergency resources allotment is solved using existing mathematical programming approach The maximum Q of number QmaxWith minimum value Qmin；
Step 5：The security objectives function of emergency system is set in the following way：Because dispatching ship is in each bar route Upper safe navigation is separate event, and the total nevigation safety index of all dispatching ships is ship each in emergency system The product of nevigation safety index on bar distribution route, to ensure the uniformity of each partial objectives for algorithm, and can utilize multiple target Planing method is solved to model, using the method taken the logarithm to dispatching ship in emergency resources home-delivery center AiTo oil spilling point BjBetween the safety indexes navigated by water enter row index conversion, and to dispense the total nevigation safety index of ship as marine ships Oil spill accident emergency resources allocate security objectives function, can obtain marine ships oil spill accident emergency resources allotment security objectives The expression formula of function S is：
Wherein, pijIt is to dispense ship in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes, Variable xijIt is emergency resources home-delivery center AiTo oil spilling point BjThe situation that upper dispatching ship passes through；
Then, the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is being met Under, solve marine ships oil spill accident emergency resources allotment security objectives function S most using existing mathematical programming approach Big value SmaxWith minimum value Smin；
Step 6：The economy objectives function that marine ships oil spill accident emergency resources are allocated is set with following manner：Due to Dispatching ship resource under marine emergency environmental is very valuable, and unit resource weight is disappeared in unit distance in delivery process The cost of consumption is little, so the cost of marine emergency resources allotment and emergency resources weight and dispatching distance relation very little, dispense Cost mainly determines by dispatching ship quantity, therefore, adjusted as marine ships oil spill accident emergency resources using dispensing ship total number X The economy objectives function matched somebody with somebody, its expression formula is：
Then, the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is being met Under, solve the economy objectives function X's of marine ships oil spill accident emergency resources allotment using existing mathematical programming approach Maximum XmaxWith minimum value Xmin；
Step 7：By 701~step 703 of following steps, the catalogue of setting marine ships oil spill accident emergency resources allotment Scalar functions；
Step 701：By the ageing of marine ships oil spill accident emergency resources allotment, demand satisfaction, security and warp Ji property regards the multiple partial objectives in same priority as, and using existing linear weighting method, the document that sees reference (thanks to Venus, Xue Firm Optimization Modelings and LINDO/LINGO software Beijing：Publishing house of Tsing-Hua University, 2005.), set marine ships oil spill accident The catalogue scalar functions of emergency resources allotment, because the dimension of each desired value is different, directly participation computing is nonsensical, so needing Nondimensionalization treatment is carried out to ageing, demand satisfaction, security and economy subhead target value, if after nondimensionalization treatment Ageing, demand satisfaction, security and economy subhead target value be respectively GT、GQ、GSAnd GX, then their expression formula For：
GT=(Tmax-T)/(Tmax-Tmin),
GQ=(Qmax-Q)/(Qmax-Qmin),
GS=(Smax-S)/(Smax-Smin),
GX=(Xmax-X)/(Xmax-Xmin)
Wherein, TmaxIt is the maximum of the ageing subhead scalar functions T of marine ships oil spill accident emergency resources allotment, Tmin It is the minimum value of the ageing subhead scalar functions T of marine ships oil spill accident emergency resources allotment；QmaxIt is marine ships oil spilling thing Therefore the maximum of the demand satisfaction object function Q of emergency resources allotment, QminFor marine ships oil spill accident emergency resources are allocated Demand satisfaction object function Q minimum value；SmaxFor marine ships oil spill accident emergency resources allocate security objectives function The maximum of S, SminIt is the minimum value of marine ships oil spill accident emergency resources allotment security objectives function S；XmaxIt is sea The maximum of the economy objectives function X of oil spill accident emergency resources allotment, XminIt is the emergent money of marine ships oil spill accident The minimum value of the economy objectives function X of source allotment；T is the ageing partial objectives for of marine ships oil spill accident emergency resources allotment Function, i.e., average emergent dispatching deadline；Q is the demand satisfaction target letter of marine ships oil spill accident emergency resources allotment Number, i.e., the average demand satisfaction Q of each oil spilling point in marine ships oil spill accident emergency resources allocation process；S is marine ships Oil spill accident emergency resources allocate security objectives function, that is, dispense the total nevigation safety index of ship；X overflows for marine ships The economy objectives function of oily accident emergency resource allocation, that is, dispatching ship sum of meeting an urgent need；
Step 702：Marine ships oil spill accident emergency resources formulation requirements averagely emergent dispatching deadline T is smaller more Good, average demand satisfaction Q is the bigger the better, and the total nevigation safety index S of dispatching ship is the bigger the better, and dispenses ship total number X It is the smaller the better, and, in the nondimensionalization expression formula of subhead scale value, each subhead scale value is with it by after nondimensionalization treatment Value is inversely proportional, therefore, the expression formula of the catalogue scalar functions of marine ships oil spill accident emergency resources allotment should be：
G=GT-GQ-GS+GX
Step 703：Before the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is met Put, the catalogue scalar functions G for solving the allotment of marine ships oil spill accident emergency resources using existing mathematical programming approach takes maximum Corresponding q during valueijValue, wherein, 1≤i≤n, 1≤j≤m, the q for now obtainingijAs emergency resources home-delivery center AiShould To oil spilling point BjThe oil receiving equipment number of units of dispatching, dispatching ship is according to the qijResult carry out marine ships oil spill accident emergency resources Allotment.
In the step of above-mentioned technical proposal 302, optimistic factor alpha is 0.5.
The mathematical programming approach used in the step of above-mentioned technical proposal 304, step 404, step 5, step 6, step 703 for Bibliography《Optimization Modeling and LINDO/LINGO softwares》, thank Venus, Xue Yi Beijing：Publishing house of Tsing-Hua University, 2005, middle note The mathematical programming approach of load.
In above-mentioned technical proposal, the optimistic coefficient is true according to the actual conditions that this emergency resources is allocated by policymaker Fixed, optimistic coefficient is bigger, then it represents that policymaker gets over and is partial to oil spilling point BjThe emergent dispatching deadline maximum of Tr j, i.e., it is right The weight that membership function is occupied in full integration is bigger.
Uncertain hours underway and resources requirement are expressed as Triangular Fuzzy Number by the present invention, use time membership function Full integration to fuzzy being determined of emergency start time expression, represent the resource that demand point is received with demand degree of membership Quantity meets the degree of demand.
The content that this specification is not described in detail belongs to prior art known to professional and technical personnel in the field.

Claims (4)

1. it is a kind of based on multi objective fuzzy planning marine ships oil spill accident emergency resources concocting method, it is characterised in that it Comprise the following steps：
Step 1：The quantity of known emergency resources home-delivery center is n, and each emergency resources home-delivery center is designated as A respectively1,A2,…, Ai,…,An, 1≤i≤n, after marine ships oil spill accident occurs, the GIS-Geographic Information System determination generation ship using satellite is excessive The number m of the oil spilling point of oily accident, and each oil spilling point is designated as B1,B2,…,Bj,…,Bm, 1≤j≤m, by positioning acquisition respectively Emergency resources home-delivery center obtains dispensing the most fast cruising speed of ship the distance between to each oil spilling point by query argument, With emergency resources home-delivery center AiTo oil spilling point BjDistance divided by cruising speed, obtain dispatching ship emergency resources dispatching in Heart AiTo oil spilling point BjBetween hours underway most probable value tm ij, because marine wind direction and seawater flow direction are to dispatching ship speed shadow Sound is larger, and the direction and speed time variation of sea wind and ocean current are stronger, therefore rule of thumb formula calculates dispatching ship should Anxious resource home-delivery center AiTo oil spilling point BjBetween maximum hours underway tr ijWith minimum hours underway tl ij, maximum hours underway tr ijComputing formula be tr ij=1.2*tm ij, minimum hours underway tl ijComputing formula be tl ij=0.8*tm ij, dispense ship In emergency resources home-delivery center AiTo oil spilling point BjBetween hours underway be expressed as fuzzy number
Marine ships oil spill accident emergency resources are oil receiving equipment, the oil receiving equipment that staff is inquired about in each emergency resources home-delivery center Deposit number of units, obtains the oil receiving equipment deposit number of units a in each emergency resources home-delivery centeri, and it is excessive to obtain each using satellite photo Oil spill area at oil drop, oil spilling point B is calculated according to following empirical equationjThe most probable value b of resources requirementm j, minimum value bl jWith maximum br j：
Wherein, M is oil spill area, symbolExpression rounds up, bm j、WithUnit be platform, oil spilling point BjIt is emergent Resources requirement is represented by fuzzy number
Then, dispatching ship is calculated in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes, due to The danger that dispatching ship faces is blast or the fire caused by oil spilling, so the safety indexes and oil spill area of dispatching ship Closely related, definition dispatching ship is in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes be pij, Its computing formula is：
pij=1/M
Wherein, M is oil spill area；
Step 2：Set following marine ships oil spill accident emergency resources allotment constraints：
For any one emergent home-delivery center Ai, the actual provision amount of oil receiving equipment is not more than the deposit number of units of the oil receiving equipment, i.e.,Wherein, qijIt is emergency resources home-delivery center AiShould be to oil spilling point BjThe oil receiving equipment number of units of dispatching, aiMet an urgent need for each Oil receiving equipment deposit number of units in resource home-delivery center；
Oil spilling point BjThe number of units of the oil receiving equipment for receiving is not less than oil spilling point BjTo the minimum value of oil receiving equipment demandI.e.
Step 3：By 301~step 304 of following steps, to dispatching ship in emergency resources home-delivery center AiTo oil spilling point BjIt Between hours underway fuzzy numberBeing determined treatment, the ageing object function of setting oil spill accident emergency resources allotment, And on the premise of constraints is met, solve the maximum and minimum value of ageing object function；
Step 301：Use variable xij∈ { 0,1 } reflects emergency resources home-delivery center AiTo oil spilling point BjWhat upper dispatching ship passed through Situation, when needing dispatching ship from emergency resources home-delivery center AiToward oil spilling point BjDuring dispatching resource, xij=1；Otherwise, xij=0, I.e.
x i j = 0 , q i j = 0 1 , q i j > 0
Step 302：Due to for any one oil spilling point Bj, its oil spill accident emergency resources allotment the deadline for it is oriented this Oil spilling point BjThe hours underway that the dispatching ship of dispatching is all arrived at, so any one oil spilling point BjThe emergent money of oil spill accident The fuzzy number of deadline is allocated in sourceFor
T ~ = m a x i = 1 , 2 , ... n ( t ~ i j × x i j ) ≈ ( m a x i = 1 , 2 , ... n ( t i j l × x i j ) , m a x i = 1 , 2 , ... n ( t i j m × x i j ) , m a x i = 1 , 2 , ... n ( t i j r × x i j ) ) = ( T j l , T j m , T j r )
WhereinRepresent oil spilling point BjThe emergent dispatching deadline minimum value, Tm jRepresent oil spilling point BjEmergent dispatching complete The most probable value of time,Represent oil spilling point BjThe emergent dispatching deadline maximum；
If any one oil spilling point BjOil spill accident emergency resources allocate the deadline fuzzy numberMembership function be：
Wherein,It is left membership function, It is right membership function, TjRepresent toward oil spilling point BjDispense the hours underway that all ships of resource are all arrived at, i.e. oil spilling point Bj's The contingency tasks deadline；
Oil spilling point BjThe emergent dispatching deadlineUse above-mentioned fuzzy numberFull integral representation be：
T j E N D = α × ∫ 0 1 f l - 1 ( T j ) d ( T j ) + ( 1 - α ) × ∫ 0 1 f l - 1 ( T j ) d ( T j ) = 1 2 × ( α × T j l + T j m + ( 1 - α ) × T j r )
Wherein, α is optimistic coefficient, α ∈ (0,1)；
Step 303：Each oil spilling point B during marine ships oil spill accident emergency resources are allocatedjThe average value of emergent dispatching deadline It is defined as average emergent dispatching deadline T, and the ageing subhead that T is allocated as marine ships oil spill accident emergency resources Scalar functions, can obtain marine ships oil spill accident emergency resources and allocate the expression formula of ageing object function and be：
T E N D = ( Σ j = 1 m T j E N D ) / m
Step 304：Meeting the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 Under, solve the ageing subhead offer of tender that above-mentioned marine ships oil spill accident emergency resources are allocated using existing mathematical programming approach The maximum of T of number TmaxWith minimum value Tmin；
Step 4：By 401~step 404 of following steps, to oil spilling point emergency resources being determined of the demand place for obscuring Reason, the demand satisfaction object function of setting marine ships oil spill accident emergency resources allotment, and meeting represented by step 2 Marine ships oil spill accident emergency resources allotment constraints on the premise of, solve demand satisfaction object function maximum And minimum value；
Step 401：Defined variable cjRepresent oil spilling point BjThe oil receiving equipment number of units being an actually-received, i.e.,
c j = Σ i = 1 n q i j
Step 402：Oil spilling point BjResource requirement satisfactionIt is oil spilling point BjThe oil receiving equipment number of units c that point is receivedjSubstitute into To emergency resources demand fuzzy numberFuzzy membership function in the numerical value that obtains,Computing formula be：
By oil spilling point BjThe mean value definition of middle marine ships oil spill accident emergency resources allotment demand satisfaction is oil spilling point Bj's Marine ships oil spill accident emergency resources allotment demand satisfaction Qj, Q can be obtainedjExpression formula be：
Q j = μ b ~ j ( c j )
Step 403：By each oil spilling point B in marine ships oil spill accident emergency resources allocation processjDemand satisfaction QjAverage value It is defined as the average demand satisfaction Q of marine ships oil spill accident emergency resources allocation process, and by marine ships oil spill accident The demand satisfaction that the average demand satisfaction Q of emergency resources allocation process is allocated as marine ships oil spill accident emergency resources Object function, can obtain marine ships oil spill accident emergency resources allotment demand Satisfaction index object function expression formula be：
Q = Σ j = 1 m μ b ~ j ( c j )
Step 404：Meeting the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 Under, the demand satisfaction object function of marine ships oil spill accident emergency resources allotment is solved using existing mathematical programming approach The maximum Q of QmaxWith minimum value Qmin；
Step 5：The security objectives function of emergency system is set in the following way：Using the method taken the logarithm to dispatching ship In emergency resources home-delivery center AiTo oil spilling point BjBetween the safety indexes navigated by water enter row index conversion, it is and total to dispense ship Nevigation safety index as marine ships oil spill accident emergency resources allocate security objectives function, can obtain marine ships overflow The expression formula of oily accident emergency resource allocation security objectives function S is：
S = Σ i = 1 n Σ j = 1 m ( x i j × lgp i j )
Wherein, pijIt is to dispense ship in emergency resources home-delivery center AiTo oil spilling point BjBetween navigate by water safety indexes, variable xijIt is emergency resources home-delivery center AiTo oil spilling point BjThe situation that upper dispatching ship passes through；
Then, on the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is met, profit The maximum that marine ships oil spill accident emergency resources allocate security objectives function S is solved with existing mathematical programming approach SmaxWith minimum value Smin；
Step 6：The economy objectives function that marine ships oil spill accident emergency resources are allocated is set with following manner：To dispense ship The economy objectives function that total number X is allocated as marine ships oil spill accident emergency resources, its expression formula is：
X = Σ i = 1 n Σ j = 1 m x i j
Then, on the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 is met, profit The maximum of the economy objectives function X that marine ships oil spill accident emergency resources are allocated is solved with existing mathematical programming approach XmaxWith minimum value Xmin；
Step 7：By 701~step 703 of following steps, the catalogue offer of tender of setting marine ships oil spill accident emergency resources allotment Number；
Step 701：By the ageing of marine ships oil spill accident emergency resources allotment, demand satisfaction, security and economy The multiple partial objectives in same priority are regarded as, using the existing linear emergent money of weighting method setting marine ships oil spill accident The catalogue scalar functions of source allotment, are carried out at nondimensionalization to ageing, demand satisfaction, security and economy subhead target value Reason, if ageing, the demand satisfaction, security and economy subhead target value after nondimensionalization treatment are respectively GT、GQ、GS And GX, then their expression formula be：
GT=(Tmax-T)/(Tmax-Tmin),
GQ=(Qmax-Q)/(Qmax-Qmin),
GS=(Smax-S)/(Smax-Smin),
GX=(Xmax-X)/(Xmax-Xmin)
Wherein, TmaxIt is the maximum of the ageing subhead scalar functions T of marine ships oil spill accident emergency resources allotment, TminIt is sea The minimum value of the ageing subhead scalar functions T of upper oil spill accident emergency resources allotment；QmaxFor marine ships oil spill accident should The maximum of the demand satisfaction object function Q of anxious resource allocation, QminIt is the need of marine ships oil spill accident emergency resources allotment Seek the minimum value of satisfaction object function Q；SmaxIt is marine ships oil spill accident emergency resources allotment security objectives function S's Maximum, SminIt is the minimum value of marine ships oil spill accident emergency resources allotment security objectives function S；XmaxIt is marine ships The maximum of the economy objectives function X of oil spill accident emergency resources allotment, XminFor marine ships oil spill accident emergency resources are adjusted The minimum value of the economy objectives function X for matching somebody with somebody；T is the ageing subhead offer of tender of marine ships oil spill accident emergency resources allotment Number, i.e., average emergent dispatching deadline；Q is the demand satisfaction target letter of marine ships oil spill accident emergency resources allotment Number, i.e., the average demand satisfaction Q of each oil spilling point in marine ships oil spill accident emergency resources allocation process；S is marine ships Oil spill accident emergency resources allocate security objectives function, that is, dispense the total nevigation safety index of ship；X overflows for marine ships The economy objectives function of oily accident emergency resource allocation, that is, dispatching ship sum of meeting an urgent need；
Step 702：Marine ships oil spill accident emergency resources formulation requirements averagely emergent dispatching deadline T is the smaller the better, puts down Equal demand satisfaction Q is the bigger the better, and the total nevigation safety index S of dispatching ship is the bigger the better, and dispatching ship total number X is smaller more It is good, and, in the nondimensionalization expression formula of subhead scale value, each subhead scale value and its value after nondimensionalization is processed are into anti- Than, therefore, the expression formula of the catalogue scalar functions of marine ships oil spill accident emergency resources allotment should be：
G=GT-GQ-GS+GX
Step 703：Meeting the premise of the allotment constraints of the marine ships oil spill accident emergency resources represented by step 2 Under, the catalogue scalar functions G for solving the allotment of marine ships oil spill accident emergency resources using existing mathematical programming approach takes maximum When corresponding qijValue, wherein, 1≤i≤n, 1≤j≤m, the q for now obtainingijAs emergency resources home-delivery center AiYing Xiang Oil spilling point BjThe oil receiving equipment number of units of dispatching, dispatching ship is according to the qijResult carry out marine ships oil spill accident emergency resources Allotment.
2. it is according to claim 1 based on multi objective fuzzy planning marine ships oil spill accident emergency resources allotment side Method, it is characterised in that：In the step 302, optimistic factor alpha is 0.5.
3. it is according to claim 2 based on multi objective fuzzy planning marine ships oil spill accident emergency resources allotment side Method, it is characterised in that：The optimistic coefficient determines by policymaker according to the actual conditions that this emergency resources is allocated, optimistic coefficient It is bigger, then it represents that policymaker gets over and is partial to oil spilling point BjThe emergent dispatching deadline maximumI.e. right membership function exists The weight occupied in full integration is bigger.
4. it is according to claim 1 based on multi objective fuzzy planning marine ships oil spill accident emergency resources allotment side Method, it is characterised in that：The emergency resources home-delivery center at least two, the oil spilling point that oil spill accident occurs is also extremely Rare two.
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