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CN108357848B - Modeling optimization method based on Multilayer shuttle car automated storage and retrieval system - Google Patents

Modeling optimization method based on Multilayer shuttle car automated storage and retrieval system Download PDF

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Publication number
CN108357848B
CN108357848B CN201810213876.2A CN201810213876A CN108357848B CN 108357848 B CN108357848 B CN 108357848B CN 201810213876 A CN201810213876 A CN 201810213876A CN 108357848 B CN108357848 B CN 108357848B
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elevator
task
layer
outbound
time
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CN108357848A (en
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王艳艳
黄珂
赵晓峰
赵宛梦
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Shandong University
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Shandong University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B65CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65GTRANSPORT OR STORAGE DEVICES, e.g. CONVEYORS FOR LOADING OR TIPPING, SHOP CONVEYOR SYSTEMS OR PNEUMATIC TUBE CONVEYORS
    • B65G1/00Storing articles, individually or in orderly arrangement, in warehouses or magazines
    • B65G1/02Storage devices
    • B65G1/04Storage devices mechanical
    • B65G1/137Storage devices mechanical with arrangements or automatic control means for selecting which articles are to be removed
    • B65G1/1373Storage devices mechanical with arrangements or automatic control means for selecting which articles are to be removed for fulfilling orders in warehouses
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B65CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65GTRANSPORT OR STORAGE DEVICES, e.g. CONVEYORS FOR LOADING OR TIPPING, SHOP CONVEYOR SYSTEMS OR PNEUMATIC TUBE CONVEYORS
    • B65G1/00Storing articles, individually or in orderly arrangement, in warehouses or magazines
    • B65G1/02Storage devices
    • B65G1/04Storage devices mechanical
    • B65G1/0478Storage devices mechanical for matrix-arrangements
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B65CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65GTRANSPORT OR STORAGE DEVICES, e.g. CONVEYORS FOR LOADING OR TIPPING, SHOP CONVEYOR SYSTEMS OR PNEUMATIC TUBE CONVEYORS
    • B65G1/00Storing articles, individually or in orderly arrangement, in warehouses or magazines
    • B65G1/02Storage devices
    • B65G1/04Storage devices mechanical
    • B65G1/0492Storage devices mechanical with cars adapted to travel in storage aisles

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Warehouses Or Storage Devices (AREA)

Abstract

The invention discloses a kind of modeling optimization methods based on Multilayer shuttle car automated storage and retrieval system, including:Determine the characteristics of motion of elevator and shuttle and the respective services time of elevator and shuttle operation process;Extract respectively the number of plies of Multilayer shuttle car automated storage and retrieval system, the depth in tunnel, the height of single layer shelf, the width of single goods lattice, the velocity and acceleration of elevator, shuttle velocity and acceleration, single picks and places ETCD estimated time of commencing discharging and outbound task details parameter, establishes the mathematical model of Multilayer shuttle car automated storage and retrieval system;Building is to obtain shortest picking total time as the mixed-integer programming model of target;Mixed-integer programming model is solved using GUROBI linear programming for solution device, obtains the picking sequence of shortest total picking time and system optimal.The present invention can quickly estimate the performance of system under various shelf and device configuration, provide decision support for the careful design and raising capacity utilization of system, saving operating cost.

Description

Modeling optimization method based on Multilayer shuttle car automated storage and retrieval system
Technical field
The present invention relates to automatic stereowarehouse technical fields, more particularly to one kind to be based on the automatic stored system of Multilayer shuttle car The modeling optimization method of system.
Background technique
In traditional automatic stereowarehouse, piler is responsible for the access of cargo, therefore to conventional automated three-dimensional storehouse The modeling in library need to only analyze piler single equipment.
As order is to small lot, multiple batches of development, Multilayer shuttle car automated storage and retrieval system gradually comes into operation.With tradition Automatic stereowarehouse compare, Multilayer shuttle car automated storage and retrieval system picking, working efficiency with elevator and shuttle It greatly promotes.As shown in Figure 1, Multilayer shuttle car automated storage and retrieval system at each access adit, is equipped with an elevator for bearing Blame the movement of the vertical direction of the tunnel cargo, and by goods handling to I/O platform;It is negative that every layer of shelf are designed with a shuttle Blame the movement of this layer of cargo horizontal direction.Obviously, the modeling method of traditional automatic stereo storage is set just for piler one kind It is standby, be not suitable for the mode of this complexity of Multilayer shuttle car system.Before this, existing many for Multilayer shuttle car automated storage and retrieval system Modeling method, but being all based on queueing theory scheduling theory establishes approximate appraising model greatly, models the result levels of precision of acquisition also Have to be hoisted.
Therefore, it is necessary to which the modeling method of Multilayer shuttle car automated storage and retrieval system outbound task is furtherd investigate and is changed Into finding the higher modeling method of levels of precision.How the modeling method of in the prior art conventional automated stereo garage is solved not How the problem of modeling of outbound task suitable for Multilayer shuttle car automated storage and retrieval system solves multilayer shuttle in the prior art How the not high problem of the modeling method accuracy of vehicle automated storage and retrieval system, assess Multilayer shuttle car automated storage and retrieval system performance Problem becomes and needs technical problems to be solved at this stage.
Summary of the invention
The purpose of the present invention is to solve the above-mentioned problems, provides a kind of based on Multilayer shuttle car automated storage and retrieval system Modeling optimization method, this method by establish mixed-integer programming model accurately describe based on Multilayer shuttle car it is automatic stored The practical outbound task process of system rapidly calculates automatic stored based on Multilayer shuttle car under various shelf and device configuration The performance of system, for based on Multilayer shuttle car automated storage and retrieval system careful design and improve capacity utilization, save operation at This offer decision support.
To achieve the above object, concrete scheme of the invention is as follows:
The invention discloses a kind of modeling optimization methods based on Multilayer shuttle car automated storage and retrieval system, including following step Suddenly:
(1) determine elevator and shuttle the characteristics of motion and elevator and shuttle operation process respective services when Between;Respectively extract the number of plies of Multilayer shuttle car automated storage and retrieval system, the depth in tunnel, the height of single layer shelf, single goods lattice Width, the velocity and acceleration of elevator, shuttle velocity and acceleration, single pick and place ETCD estimated time of commencing discharging and outbound task it is detailed Information parameter establishes the mathematical model of Multilayer shuttle car automated storage and retrieval system;
(2) building is to obtain shortest picking total time as the mixed-integer programming model of target;
(3) mixed-integer programming model is solved using GUROBI linear programming for solution device, acquisition is shortest always to be taken The value condition of ETCD estimated time of commencing discharging and each state variable, to judge the picking sequence of system optimal.
Further, the characteristics of motion of the determining elevator and shuttle, specially:
Assuming that current elevator determines elevator from I/O platform to this layer in xth layer according to the height of single layer shelf Travel distance;
The acceleration and maximum speed for considering elevator, determine the travel time of elevator;
Assuming that current shuttle is in tunnel, first according to the width of single goods lattice determines that it reaches q-th of depth location Travel distance;
The acceleration and maximum speed for considering shuttle, determine the travel time of shuttle.
Further, the respective services time of the determining elevator and shuttle operation process, specially:
Cargo is transported the service time to I/O platform and release by elevator from i-th layer;
Elevator discharges cargo from i-th layer of transport to I/O platform, is subsequently returning to the service time of jth layer picking;
Shuttle takes out the service time for being located at the outbound task of i-th layer of q-th of depth location;
Elevator is from initial conditions, i.e., to i-th layer of service time at I/O platform.
Further, the building is specific as the mixed-integer programming model of target to obtain shortest picking total time For:
Wherein, tMIt is at the beginning of elevator executes the last one outbound task, N is the number collection of all shelf numbers of plies It closing, M is the outbound task sum of system,Indicate elevator by cargo from when i-th layer of transport to the service of I/O platform and release Between, yMiOutbound task that whether the last one elevator task is i-th layer is identified (if the last one elevator task is i-th layer Outbound task, the value of the variable is 1;Otherwise, 0) value of the variable is
Further, the uniqueness foundation to guarantee the corresponding outbound layer of each outbound task, picking order, goods yard position The constraint condition of mixed-integer programming model, specially:
1) the outbound task sum on i-th layer of shelf is equal to the elevator total task number of i-th layer of shelf;And guarantee any The uniqueness of outbound layer where one elevator task;
It 2) is that the number of certain layer of n-th of outbound task is equal to the outbound task number of all shelf in all elevator tasks Number greater than n;And guarantee any one elevator task in the uniqueness of its corresponding outbound layer outbound order;
3) guarantee any one outbound task in the uniqueness of its corresponding outbound layer outbound order;
And guarantee any one outbound task in the uniqueness of its corresponding outbound layer goods yard depth.
Further, the constraint between each elevator task, tool are determined according to the connection between each elevator task Body is:
First elevator task reaches the time of any one layer of shelf greater than elevator at the time of beginning;
Also, the time difference that the continuous elevator task of any two is separated by, which is greater than between round-trip two layers of the shelf of elevator, to be needed The time wanted.
Further, according in every layer of shelf to the connection between outbound task determine in every layer of shelf to outbound task it Between constraint, specially:
First outbound task of any layer is later than goods yard where shuttle reaches it at the time of waiting elevator scheduling complete The time required to being operated at picking;
Also, the time difference that the continuous outbound task of two of any layer completes the moment is greater than the when that shuttle walking needs Between.
It further, is t at the beginning of elevator being executed m-th of outbound taskm, shuttle is completed i-th layer N-th of outbound task is denoted as r at the time of waiting elevator responsein, according to tmAnd rinInner link, establish and constrain part such as Under:
At the time of first elevator task is later than first cargo to outbound and is removed at the time of beginning;
And, it is assumed that m-th of elevator task is i-th layer of n-th of outbound task, what m-th of elevator task started At the time of n-th of task that moment is later than i-th layer is completed;
And, it is assumed that m-th of elevator task is i-th layer of (n-1)th outbound task, and i-th layer of n-th of task is completed At the time of be later than the sum of time and the shuttle travel time that m-th of elevator task starts;
And, it is assumed that m-th of elevator task is i-th layer of n-th of outbound task, and the m-1 elevator task is jth The outbound task of layer, i-th layer of n-th of task are later than the time and promotion that the m-1 elevator task starts at the time of completion The sum of machine travel time.
It further, is the nonnegativity for guaranteeing mixed-integer programming model, establishing a constraint part is specially:
Elevator is not less than zero at the beginning of executing m-th of outbound task;
Also, shuttle completes i-th layer of n-th of outbound task, is not less than zero at the time of waiting elevator response.
Further, the picking sequence of the acquisition system optimal is specially:
By the value for each state variable that solver calculates, picking sequence in mark system, specific picking is suitable The method that sequence determines:
And if only if ymi=1, zmn=1, xinqIndicate that m-th of cargo being removed is located at i-th layer of q-th of depth when=1 It is n-th of cargo being removed on this layer of shelf on position, i.e. m-th of Delivery is i-th layer of n-th of Delivery, together When the Delivery on q-th of depth location;
According to the above rule, every outbound task uniquely corresponding outbound layer, picking order, goods yard position are successively judged Information further obtains the picking sequence of system optimal;
Wherein, ymiIdentify m-th of elevator task whether the outbound task for being i-th layer, zmnM-th of elevator is identified to appoint Business whether be a certain layer n-th of outbound task, xinqWhether n-th of Delivery of i-th layer of mark be in q-th of depth location On.
Beneficial effects of the present invention:
The integer programming model that the present invention establishes can the accurate practical outbound task process of the simulation system, can be quick The performance for estimating system under various shelf and device configuration, be system careful design and improve capacity utilization, save Operating cost provides decision support.
Modeling method provided by the invention, which solves the result obtained, can accurately position the sequence of each outbound task, Compared with total picking time required for random picking sequence, the total duration of picking is greatly reduced.
Inner link between outbound task is abstracted as accurate mathematics part by the present invention, establishes Multilayer shuttle car system Outbound task integer programming model and its derivation algorithm, overcoming the modeling in traditional library, can not to adapt to Multilayer shuttle car automatic The characteristics of warehousing system multiple servers, the performance of system is fast and accurately calculated using tool.
Using model of the present invention and derivation algorithm, best shuttle, elevator configuration combination can be quickly and effectively found out, System operation cost is not only saved, also can provide theoretical direction for logistic storage system designer.
Detailed description of the invention
Fig. 1 is Multilayer shuttle car automated storage and retrieval system schematic diagram;
Fig. 2 is outbound task flow chart.
Specific embodiment:
The present invention is described in detail with reference to the accompanying drawing:
In the outbound task of single, task requests the response of respective layer shuttle first.According to system call, shuttle It is first moved horizontally at the outbound goods yard of system distribution, is taken out cargo using pallet fork, then shuttle runs to the head of this layer Column, request the response of the tunnel elevator.Equally, elevator goes to respective layer and shuttle to complete cargo according to system call Handover, outbound task process is as shown in Figure 2.
Based on this, the invention discloses a kind of modeling optimization methods based on Multilayer shuttle car automated storage and retrieval system, including Following steps:
(1) to Multilayer shuttle car automated storage and retrieval system model, extract the number of plies, columns, elevator velocity and acceleration, wear The velocity and acceleration of shuttle car picks and places the parameters such as ETCD estimated time of commencing discharging, and is abstracted as every input in mathematical model.
The basic input that (1-1) analysis model needs;It specifically includes:
The number of plies N of Multilayer shuttle car automated storage and retrieval system, the depth C in tunnel, single layer shelf height Dh, single goods lattice Width Dw, shuttle maximum speed Vw, shuttle acceleration aw, elevator maximum speed Vh, elevator acceleration ah, shuttle list Secondary pick-and-place ETCD estimated time of commencing discharging tw, elevator single pick and place ETCD estimated time of commencing discharging th, solve scale constant T, include all outbound task details The dictionary Q of (layer, place depth location where task).
(1-2) analyzes the characteristics of motion of elevator and shuttle, specially:
Assuming that current elevator is in xth layer, travel distance of the elevator from I/O platform to this layer is
H=(x-1) × Dh
Consider that the acceleration and maximum speed of elevator, the travel time of elevator are:
Similarly, it is assumed that current shuttle tunnel first, the travel distance for reaching q-th of depth location is
W=q × Dw
Consider that the acceleration and maximum speed of shuttle, the travel time of shuttle are:
(1-3) calculates the respective services time of elevator and shuttle operation process, specially:
Cargo is transported the service time to I/O platform and release by calculating elevator from i-th layer
It calculates elevator and discharges cargo from i-th layer of transport to I/O platform, be subsequently returning to the service time of jth layer picking
It calculates shuttle and takes out the service time for being located at the outbound task of i-th layer of q-th of depth location
Elevator is calculated from initial conditions, i.e., to i-th layer of service time at I/O platform
(2) to the dynamic picking process model building of Multilayer shuttle car automated storage and retrieval system, to obtain shortest picking total time For target, mixed-integer programming model is established.
The objective function of (2-1) model:
Wherein, tmIt is at the beginning of elevator executes m-th of outbound task, N is the number set of all shelf numbers of plies. When objective function obtains minimum value, total picking time of Multilayer shuttle car automated storage and retrieval system is most short.
(2-2) be guarantee the corresponding outbound layer of each outbound task, picking order, goods yard position uniqueness establish about Beam, specially:
i∈Nymi=1 i ∈ N, m ∈ 1,2 ..., M };
Wherein, SiIdentify the outbound task quantity on i-th layer of shelf, variable ymiIdentify m-th of elevator task whether be I-th layer of outbound task, ymiValue rule be:
Wherein, SmaxIndicate the maximum value of single layer shelf outbound task, ZnThe outbound task number for identifying all shelf is greater than n A number, variable zmnIdentify m-th of elevator task whether be a certain layer n-th of outbound task, zmnValue rule For:
Wherein, QiIndicate the set of the depth number composition of outbound task on i-th layer of shelf, variable xinqI-th layer of mark Whether n-th of outbound task be on q depth location, xinqValue rule be:
(2-3) analyzes the connection between each elevator task, and it is as follows to establish constraint part:
First elevator task reaches the time of any one layer of shelf greater than elevator at the time of beginning, i.e.,
Assuming that the m-1 elevator task is located at i-th layer of shelf, m-th of elevator task is located at jth layer shelf, arbitrarily The time difference that two continuous elevator tasks are separated by must be greater than the time needed between round-trip two layers of the shelf of elevator, i.e.,
(2-4) is analyzed in every layer of shelf to the connection between outbound task, and it is as follows to establish constraint part:
First outbound task of any layer must be later than shuttle at the time of waiting elevator scheduling and reach goods yard where it The time required to completing picking operation, i.e.,
The time difference that the continuous outbound task of two of any layer completes the moment must be greater than shuttle and walkThe time wanted, i.e.,
Shuttle is completed the outbound task on i-th layer of n-th of depth location by (2-5), at the time of waiting elevator response It is denoted as rin, analyze tmAnd rinInner link, establish that constrain part as follows:
At the time of first elevator task is later than first cargo to outbound and is removed at the time of beginning, i.e.,
t1≥ri1-T(3-y1,i-zm1-xi1q);m∈{1,2,…,M},q∈{1,2,…,C};
Assuming that m-th of elevator task is i-th layer of n-th of outbound task, evening at the time of m-th of elevator task starts At the time of i-th layer of n-th of task is completed, i.e.,
tm≥rin-T(2-ymi-zmn), i ∈ N, n ∈ { 1,2 ..., Smax},m∈{1,2,…,M};
Assuming that m-th of elevator task is i-th layer of (n-1)th outbound task, then i-th layer of n-th of task is completed At the time of be later than the sum of time and the shuttle travel time that m-th of elevator task starts, i.e.,
i∈N,n∈{2,…,Smax},m∈{2,…,M};
Assuming that m-th of elevator task is i-th layer of n-th of outbound task, the m-1 elevator task is jth layer Outbound task, then i-th layer of n-th of task is later than the time and promotion that the m-1 elevator task starts at the time of completion The sum of machine travel time, i.e.,
i,j∈N,n∈{1,…,Smax},m∈{2,…,M}。
(2-6) is the nonnegativity for guaranteeing model, adds other necessary Simple constraints, tm≥0,rin≥0。
(3) it is programmed using Python, designed model is generated into configuration using GUROBI linear programming for solution device File solves the picking sequence of shortest total picking time and system optimal, and thus further statistics obtains various configuration items Calculated result under part obtains the allocation optimum of Multilayer shuttle car automated storage and retrieval system convenient for analysis.
Obtain system optimal picking sequence be specially:
By the value for each state variable that solver calculates, picking sequence in mark system, specific picking is suitable The method that sequence determines:
And if only if ymi=1, zmn=1, xinqIndicate that m-th of cargo being removed is located at i-th layer of q-th of depth when=1 It is n-th of cargo being removed on this layer of shelf on position, i.e. m-th of Delivery is i-th layer of n-th of Delivery, together When the Delivery on q-th of depth location;
According to the above rule, every outbound task uniquely corresponding outbound layer, picking order, goods yard position are successively judged Information further obtains the picking sequence of system optimal;
Wherein, ymiIdentify m-th of elevator task whether the outbound task for being i-th layer, zmnM-th of elevator is identified to appoint Business whether be a certain layer n-th of outbound task, xinqWhether n-th of Delivery of i-th layer of mark be in q-th of depth location On.
In order to verify the validity of model, the simulated scenario such as table 1 of 6 kinds of Multilayer shuttle car systems is set, using above-mentioned The quick calculated result of model exact method.Under every group of scene, total picking time under 4 kinds of random picking sequences is recorded respectively, It is compared with the calculated result of model, data record obtained is as shown in table 2.
1 scene setting table of table
The analysis of 2 the model calculation of table
Obviously, substantially reduced using model calculated total picking time than total picking time under random picking sequence, The calculated picking sequence of model is optimal picking sequence.
Table 3 is the most common basic configuration of Multilayer shuttle car automated storage and retrieval system, and the above results are under the configuration condition It is calculated.
3 Multilayer shuttle car automated storage and retrieval system basic configuration of table
Above-mentioned, although the foregoing specific embodiments of the present invention is described with reference to the accompanying drawings, not protects model to the present invention The limitation enclosed, those skilled in the art should understand that, based on the technical solutions of the present invention, those skilled in the art are not Need to make the creative labor the various modifications or changes that can be made still within protection scope of the present invention.

Claims (9)

1. the modeling optimization method based on Multilayer shuttle car automated storage and retrieval system, which is characterized in that include the following steps:
(1) characteristics of motion of elevator and shuttle and the respective services time of elevator and shuttle operation process are determined; The number of plies of Multilayer shuttle car automated storage and retrieval system, the width of the depth in tunnel, the height of single layer shelf, single goods lattice are extracted respectively The velocity and acceleration of degree, the velocity and acceleration of elevator, shuttle, single picks and places ETCD estimated time of commencing discharging and outbound task is believed in detail Parameter is ceased, the mathematical model of Multilayer shuttle car automated storage and retrieval system is established;
(2) building is to obtain shortest picking total time as the mixed-integer programming model of target;
The mixed-integer programming model is specially:
Wherein, tMIt is at the beginning of elevator executes the last one outbound task, N is the number set of all shelf numbers of plies, M It is total for the outbound task of system,Indicate the service time that elevator transports cargo to I/O platform and release from i-th layer, yMiIdentify the last one elevator task whether the outbound task for being i-th layer, if the last one elevator task be i-th layer go out Library task, yMiValue be 1;Otherwise, yMiValue be 0;
(3) mixed-integer programming model is solved using GUROBI linear programming for solution device, when obtaining shortest total picking Between and system optimal picking sequence.
2. as described in claim 1 based on the modeling optimization method of Multilayer shuttle car automated storage and retrieval system, which is characterized in that institute The characteristics of motion of determining elevator and shuttle is stated, specially:
Assuming that current elevator determines walking of the elevator from I/O platform to this layer according to the height of single layer shelf in xth layer Distance;
The acceleration and maximum speed for considering elevator, determine the travel time of elevator;
Assuming that current shuttle is in tunnel, first according to the width of single goods lattice determines that it reaches the walking of q-th of depth location Distance;
The acceleration and maximum speed for considering shuttle, determine the travel time of shuttle.
3. as described in claim 1 based on the modeling optimization method of Multilayer shuttle car automated storage and retrieval system, which is characterized in that institute The respective services time of determining elevator and shuttle operation process is stated, specially:
Cargo is transported the service time to I/O platform and release by elevator from i-th layer;
Elevator discharges cargo from i-th layer of transport to I/O platform, is subsequently returning to the service time of jth layer picking;
Shuttle takes out the service time for being located at the outbound task of i-th layer of q-th of depth location;
Elevator is from initial conditions, i.e., to i-th layer of service time at I/O platform.
4. as described in claim 1 based on the modeling optimization method of Multilayer shuttle car automated storage and retrieval system, which is characterized in that be Guarantee the corresponding outbound layer of each outbound task, picking order, goods yard position uniqueness, establish mixed-integer programming model Constraint condition, specially:
1) the outbound task sum on i-th layer of shelf is equal to the elevator total task number of i-th layer of shelf;And guarantee any one The uniqueness of outbound layer where elevator task;
2) be in all elevator tasks certain layer of n-th of outbound task number be equal to all shelf outbound task number be greater than N numbers;And guarantee any one elevator task in the uniqueness of its corresponding outbound layer outbound order;
3) guarantee any one outbound task in the uniqueness of its corresponding outbound layer outbound order;
And guarantee any one outbound task in the uniqueness of its corresponding outbound layer goods yard depth.
5. as described in claim 1 based on the modeling optimization method of Multilayer shuttle car automated storage and retrieval system, which is characterized in that root The constraint between each elevator task is determined according to the connection between each elevator task, specially:
First elevator task reaches the time of any one layer of shelf greater than elevator at the time of beginning;
Also, the time difference that the continuous elevator task of any two is separated by, which is greater than between elevator round-trip two layers of shelf, to be needed Time.
6. as described in claim 1 based on the modeling optimization method of Multilayer shuttle car automated storage and retrieval system, which is characterized in that root It is determined in every layer of shelf to the constraint between outbound task, specially according in every layer of shelf to the connection between outbound task:
First outbound task of any layer is later than goods yard where shuttle reaches it and completes to take at the time of waiting elevator scheduling The time required to goods operation;
Also, the time difference that the continuous outbound task of two of any layer completes the moment is greater than the time that shuttle walking needs.
7. as described in claim 1 based on the modeling optimization method of Multilayer shuttle car automated storage and retrieval system, which is characterized in that will Elevator is t at the beginning of executing m-th of outbound taskm, shuttle is completed into i-th layer of n-th of outbound task, waiting mentions R is denoted as at the time of the response of the machine of literin, according to tmAnd rinInner link, establish that constrain part as follows:
At the time of first elevator task is later than first cargo to outbound and is removed at the time of beginning;
And, it is assumed that m-th of elevator task is i-th layer of n-th of outbound task, at the time of m-th of elevator task starts At the time of being later than i-th layer of n-th of task completion;
And, it is assumed that m-th of elevator task is i-th layer of (n-1)th outbound task, i-th layer of n-th of task complete when Quarter is later than the sum of time and the shuttle travel time that m-th of elevator task starts;
And, it is assumed that m-th of elevator task is i-th layer of n-th of outbound task, and the m-1 elevator task is jth layer Outbound task, i-th layer of n-th of task are later than the time and elevator row that the m-1 elevator task starts at the time of completion Walk the sum of time.
8. as described in claim 1 based on the modeling optimization method of Multilayer shuttle car automated storage and retrieval system, which is characterized in that be Guarantee the nonnegativity of mixed-integer programming model, establishing a constraint part is specially:
Elevator is not less than zero at the beginning of executing m-th of outbound task;
Also, shuttle completes the outbound task on i-th layer of q-th of depth location, is not less than at the time of waiting elevator response Zero.
9. as described in claim 1 based on the modeling optimization method of Multilayer shuttle car automated storage and retrieval system, which is characterized in that institute The acquisition system optimal stated picking sequence be specially:
By the value for each state variable that solver calculates, picking sequence in mark system, specific picking sequence is sentenced Fixed method:
And if only if ymi=1, zmn=1, xinqIndicate that m-th of cargo being removed is located at i-th layer of q-th of depth location when=1 On, it is n-th of cargo being removed on this layer of shelf, i.e. m-th of Delivery is i-th layer of n-th of Delivery, simultaneously should Delivery is on q-th of depth location;
According to the above rule, every outbound task uniquely corresponding outbound layer, picking order, goods yard position letter are successively judged Breath further obtains the picking sequence of system optimal;
Wherein, ymiIdentify m-th of elevator task whether the outbound task for being i-th layer, zmnWhether identify m-th of elevator task For n-th of outbound task of a certain layer, xinqWhether n-th of Delivery of i-th layer of mark be on q-th of depth location.
CN201810213876.2A 2018-03-15 2018-03-15 Modeling optimization method based on Multilayer shuttle car automated storage and retrieval system Expired - Fee Related CN108357848B (en)

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