CN113191716A - Express delivery cabinet storage resource optimization oriented reward and penalty strategy method - Google Patents

Express delivery cabinet storage resource optimization oriented reward and penalty strategy method Download PDF

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CN113191716A
CN113191716A CN202110570298.XA CN202110570298A CN113191716A CN 113191716 A CN113191716 A CN 113191716A CN 202110570298 A CN202110570298 A CN 202110570298A CN 113191716 A CN113191716 A CN 113191716A
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express
cabinet
express cabinet
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王扬
肖宇
陈艳艳
王嘉晨
秦焕美
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Beijing University of Technology
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Beijing University of Technology
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    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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    • G06Q10/08—Logistics, e.g. warehousing, loading or distribution; Inventory or stock management
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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Abstract

The invention provides a reward and penalty strategy method for optimizing express cabinet storage resources, which aims at the problems of express cabinet storage resources and express cabinet enterprise profit optimization in the express cabinet storage process. The existing strategy for collecting the overtime fee of the express delivery cabinet causes dissatisfaction of numerous users, and the users put forward questions on the charging behavior of the express delivery cabinet. The development of the express cabinet cannot be supported by a user, and the problem in the operation process of the express cabinet can be further solved only by releasing the charging standard acceptable by the user. The invention combines reward and punishment strategies, stimulates the user to take the express from positive and negative directions, improves the enthusiasm of the user to take the express, and utilizes the queuing system to simulate the process that a courier puts a package into an express cabinet and then takes the package out of the express cabinet by the user so as to improve the turnover rate of the express cabinet and the enterprise profit of the express cabinet while ensuring the benefit of the user.

Description

Express delivery cabinet storage resource optimization oriented reward and penalty strategy method
Technical Field
Aiming at the current situation that the turnover efficiency of the express cabinet is low, the turnover rate of the express cabinet is improved by a method of combining a reward and penalty strategy and a queuing theory, the profits of enterprises of the express cabinet are increased, and the benign operation and development of the express cabinet are promoted. Optimizing express cabinet storage resources is an important link of benign development of express cabinets, is an important branch in the field of urban logistics, and belongs to the field of urban freight transportation.
Background
Along with the increasing of express delivery volume, the terminal delivery pressure of couriers also constantly increases, and the delivery labour supplies and short-term, and the pressure of courier terminal delivery has been alleviated in the appearance of express delivery cabinet. The development of express cabinets in China is only about 10 years, and as far as 2020, more than 40 ten thousand groups of express cabinets are released in the whole country, and the existing express cabinet enterprises comprise a Fengcou, a Chinese express delivery express, a neighbor treasure, a Jingdong express cabinet and the like.
When the express cabinet just appeared, for the popularization, all taken free strategy to express delivery person and user, this loss phenomenon that makes the express cabinet enterprise is gradually outstanding, in order to twist reverse the present state of loss of enterprise, express cabinet enterprise takes the countermeasure of collecting the use charge to express delivery person. However, the parcel storage time of some users in the express cabinet is long, so that the turnover rate of the express cabinet is not high, and further, no available lattice exists when the courier delivers the parcel again. At present, various express cabinet enterprises search for collecting overtime pickup fees for users, but relevant charging instructions are not given, so that dissatisfaction of the users is caused. Express cabinet enterprises should orient the process of how to determine the charging standard to users, and give users a reasonable explanation. Therefore, the method and the system face the calculation process to the user, improve the enthusiasm of the user for taking the express delivery by exciting the pickup behavior of the user in order to optimize the storage resources of the express delivery cabinet, and promote the further development of express delivery cabinet enterprises.
The invention provides a reward and penalty strategy method for optimizing storage resources of an express cabinet, which carries out reward and penalty on users with different pickup time by using a method of combining small reward packages and overtime fee collection. And the method of combining the queuing theory is combined to simulate the storage process of the express delivery cabinet, and a batch arrival D is establishedξthe/M/K/K loss queuing system is in the process of simulationAnd analyzing the conditions of the turnover rate of the express cabinet and the profit of enterprises, and further selecting an optimal express cabinet reward and penalty strategy.
Disclosure of Invention
The invention provides an express cabinet storage resource optimization oriented reward and penalty strategy method, which improves the storage time of packages in an express cabinet through the reward and penalty strategy, takes the maximum target of the turnover rate of the express cabinet and the profit of an express cabinet enterprise into consideration, simulates the effect of the reward and penalty strategy through a queuing theory method, and finally selects the optimal reward and penalty strategy combination to optimize the storage resources of the express cabinet and better exert the service function of the express cabinet.
The invention is realized by the following technical scheme.
A reward and penalty strategy method for optimizing storage resources of an express cabinet comprises the following steps:
through analyzing courier, user and 3 component parts of express delivery cabinet queuing system, know the relation between courier, user and the express delivery cabinet three, utilize the queuing theory to express the process that the parcel was put into the express delivery cabinet by the courier and was taken out by the customer again.
Further, the method comprises the following steps:
(1) daily courier delivery package division lambda1Batch delivery, with batch-to-batch arrival intervals subject to λ1A pattern distribution is determined. And the quantity xi of each batch of parcels is a random variable, and the probability distribution is P (xi ═ q) ═ cqQ is 1,2, …, m is a positive integer,
Figure BDA0003030104880000021
the number of packages arriving in one day by the express cabinet
Figure BDA0003030104880000031
Wherein λ is1Representing the number of package batches delivered by the courier each day; ξ is the number of parcels per batch; p (xi ═ q) ═ cqQ is 1,2, …, and represents the probability of the number of packages per batch being q being cqQ takes values from 1 to m; λ is the total number of parcels arriving per day.
(2) For batchesFor the queuing system of volume arrival, because the check number of express delivery cabinet is only K, when the parcel arrived at the express delivery cabinet, if find there is no available express delivery cabinet check, will place the parcel in artifical window. The storage time of the parcels in the express cabinet is regarded as negative index distribution, K grids of the express cabinet are K service desks of a queuing system, and the express cabinet queuing system belongs to a multi-service window loss system queuing system with batch arrival, namely Dξa/M/K/K queuing system.
Wherein D xi represents that the packages arrive in batches, and the arrival interval time of each batch is subjected to deterministic distribution; m represents that the storage time of the package follows negative exponential distribution; k means the biggest grid quantity of express delivery cabinet, has K grids promptly.
(3)DξThe state { X (t), t ≧ 0} of the/M/K/K system belongs to the birth and death process, and the state space I ═ 0,1,2, …, K } has the following characteristics for the transition of state I:
firstly, a transferring-out process
The right-turning of any state i can be further transferred to any subsequent state i +1, i +2, …, i + m, and the left-turning can only be transferred to the adjacent state i-1;
② shift to process
Any state i can be transferred in one step from any state i-m, …, i-2, i-1 to its left, while in the state to the right of state i only its neighboring state i +1 can be transferred to state i.
D can be obtained by the principle of probability conservation of the transfer-in and transfer-out statesξSteady state equation set of/M/K/K:
Figure BDA0003030104880000041
wherein mu represents the storage time of the parcels in the express delivery cabinet and obeys the negative exponential distribution with the parameter of mu; piIndicating the probability that the express delivery cabinet is occupied by i grids, i ═ 0,1,2, …, K, i.e., P0Probability of express cabinet not being occupied by parcel, P1The probability that the express cabinet is occupied by 1 grid; c. CjRepresents the probability of the number of parcels per batch being j, j representingIn the state j of the memory cell, the state j,
Figure BDA0003030104880000042
representing the sum of the probabilities of each batch of parcels arriving from 1 to m.
For DξIn the case of the/M/K loss queuing system, when the system state x (t) is K, the customer leaves. Therefore, when the courier and the client find that the intelligent express cabinet is completely occupied, the courier and the client refuse to continue inputting, the stability of the system is maintained by losing part of input, and the probability of the intelligent express cabinet system being completely occupied in the inputting process is PKThat is, the loss probability of the express cabinet queuing system is PK，PKCan be calculated by the formula (1).
(4) The moment when each parcel is stored in the express cabinet and taken out is 0-t, and the moment when the kth parcel is stored in the express cabinet is
Figure BDA0003030104880000043
The moment when the kth parcel is taken out after the T day of the express cabinet
Figure BDA0003030104880000044
The length of time each package is stored in the courier cabinet may be expressed as:
Figure BDA0003030104880000045
(5) if the customer takes out the package within t hours of receiving the pickup short message, the customer is rewarded, if the customer keeps the package for a free time t0And taking out the part of the client, and punishing the part of the client.
(6) Average number of packages N not taken in intelligent express cabinet at end of each day1It can be shown that these packages will occupy N1The different reward and penalty strategies of each grid directly influence N1The size of (2).
Figure BDA0003030104880000051
Wherein the content of the first and second substances,
Figure BDA0003030104880000052
the method comprises the steps that the accumulated probability that a parcel stored in an express cabinet is taken out by a user on the same day is shown, and the accumulated pick-up probability of the user changing along with time obeys Poisson distribution;
Figure BDA0003030104880000053
the sum of the probability that all packages stored in the express delivery cabinet are taken out by the user on the same day is shown.
(7) When express couriers and clients deposit express in the express cabinet, the express cabinet needs to meet the requirement that the express cabinet is not completely occupied, and the probability of not being completely occupied is 1-PK. Then the service rate of the express delivery cabinet system is as follows:
μ＝λ(1-PK)-N1 (4)
the turnover rate TR of the express cabinet system every day can be calculated according to the service rate of the express cabinet system as follows:
Figure BDA0003030104880000054
(8) the profit mode of intelligence express delivery cabinet is mainly to collect use fee, advertisement profit etc. to the express delivery person. The profit of express delivery cabinet enterprise calculates specifically to be:
at present, the charging mode for couriers is mainly calculated by the number of packages, and each package is stored in a unit price U of a using unit needing to charge grids of an express cabinetlPackages arriving from different batches are considered not to be picked up the day beyond the corresponding length of time. The number of the lattices occupied by the packages in the next day is N2The number of the lattice occupied on the T day is NTOn day T, the package will be returned without pickup. The total grid use fee U charged to the courier each dayLComprises the following steps:
Figure BDA0003030104880000055
secondly, the charging mode to the client is mainly aimed at the storage time exceedingFree storage time t0For packages of this type, a timeout fee is charged, the timeout rate being Ue，
Figure BDA0003030104880000056
The number of packages which are not taken is more than the free storage time limit, and the storage time length t of the packages isk>t0If so, the total overtime fee U is paidEThe calculation formula of (a) is as follows:
Figure BDA0003030104880000061
Figure BDA0003030104880000062
wherein, tkThe time length of the package stored in the express cabinet is defined; t is t0A free keeping time limit;
Figure BDA0003030104880000063
the storage time of the parcels in the express cabinet is larger than the cumulative probability of free storage time limit, and the cumulative storage time probability of the parcels in the express cabinet follows negative exponential distribution;
Figure BDA0003030104880000064
the probability sum of all the parcels stored in the express delivery cabinet which are not taken out after the free storage time is exceeded is shown.
And thirdly, advertising income of the control panel of the express cabinet is also one of the profit modes of operators. When everyone takes the package, the advertisement is activated, so that the operator can make profit, and the unit price of watching the advertisement once is determined as UaAnd then daily advertisement profit UAComprises the following steps:
UA＝μUa (9)
fourthly, the express cabinet has little operation cost in the using process, and the operation cost of each cabinet is determined as UcAnd the daily operation cost of the intelligent express cabinet system is KUc；
Fifthly, different reward and penalty strategies are established for improving the turnover rate, the issuing of the small red packet is involved if the client takes out the package within t hours, and the value of the single small red packet is UrTotal expenditure U for issuing small red packets every day by the systemRComprises the following steps:
Figure BDA0003030104880000065
wherein the content of the first and second substances,
Figure BDA0003030104880000066
the probability of the accumulated storage time of the parcels in the express cabinet is less than t hours, and the probability of the accumulated storage time of the parcels in the express cabinet obeys negative exponential distribution;
Figure BDA0003030104880000067
the probability sum of the storage time of all the parcels stored in the express delivery cabinet being less than t hours is shown.
In summary, the operator's daily profit G can be calculated from equations (6) to (10):
G＝UL+UE+UA-KUc-UR (11)
the invention is mainly characterized in that:
(1) in order to solve the problems in the operation process of express cabinet enterprises and promote the benign development of express cabinets, the method adopts a reward and penalty strategy to realize the optimization of the turnover rate of the express cabinets and the increase of profits of the express cabinet enterprises;
(2) the invention combines a queuing system method to establish a queuing system of users, couriers and express cabinets and simulate the process of storing packages by the couriers and then taking out the packages by the users. In the established queuing system, the turnover rate of the express cabinet is combined, and the enterprise profits of the express cabinet are combined, so that the queuing system has better practical significance;
(3) compared with the behavior of collecting the overtime fee implemented by the express cabinet enterprise at present, the method and the system can flexibly analyze the implementation effects of different reward and punishment strategies, provide a reasonable explanation for the user, and enable the user to know the amount of money for rewarding the small red packet and collecting the overtime fee, so that the method and the system are beneficial to balancing the benefits of the user and the express cabinet enterprise.
Drawings
FIG. 1 is a flow chart of an analytical storage resource optimization method of the present invention;
FIG. 2 is DξA state transition diagram of the/M/K/K birth-extinction process;
FIG. 3 is a time setting diagram of the prize;
fig. 4 is a diagram of a package distribution process.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
As shown in fig. 1, the present invention provides a reward and penalty strategy method for optimizing storage resources of an express delivery cabinet, which includes the following steps:
(1) commissors deliver packages in each day1Batch-to-batch delivery, with batch-to-batch arrival times subject to λ1The arrival time and the number of each batch of packages are respectively 8 points (number xi) in the morning130), 12 pm (number xi)245), 18 points (quantity xi) in the evening325), the number of packages arriving in one day by the express cabinet is 100.
(2) The check number of express delivery cabinet has K to be 60, when the parcel arrived the express delivery cabinet, if the discovery does not have usable express delivery cabinet check mouth, will place the parcel in artifical window. The storage time of the parcels in the express cabinet is regarded as negative index distribution, 60 grids of the express cabinet are 60 service platforms of a queuing system, and the express cabinet queuing system belongs to a multi-service-window loss-system queuing system with batch arrival, namely Dξthe/M/60/60 queuing system.
(3) For DξFor a loss queuing system,/M/60/60, when system state x (t) is 60, the customer leaves. So when the courier and the client find the intelligent express cabinetWhen the express delivery cabinet system is completely occupied, the express delivery cabinet system refuses to continue inputting, the stability of the system is maintained by losing part of input, and the probability of being completely occupied when the express delivery cabinet system is input is
Figure BDA0003030104880000081
Namely, the loss probability of the express cabinet queuing system is about 0, and the life and death process state is transferred as shown in fig. 2.
(4) The moment when each parcel is stored in the express cabinet and taken out is 0-t, and the moment when the kth parcel is stored in the express cabinet is
Figure BDA0003030104880000091
The moment when the kth parcel is taken out after the T day of the express cabinet
Figure BDA0003030104880000092
The length of time each package is stored in the courier cabinet may be expressed as:
Figure BDA0003030104880000093
for purposes of illustration, the length of time that 100 packages are stored without penalty is set to follow a negative exponential distribution E (ε)1)，ε112 h. The specific storage time is shown in the following table.
TABLE 1 parcel shelf life (hours)
Figure BDA0003030104880000094
(5) If the customer takes out the package within 4 hours of receiving the pickup short message t, the customer is rewarded, if the customer keeps the package for a free time t0After 24 hours, punishment is given to the part of customers, and the time for rewarding the punishment is set as shown in figure 3.
For the sake of illustration, the length of time for which 100 parcels are deposited under the reward and penalty action is set to follow a negative exponential distribution E (ε)2)，ε26 h. The specific storage time is shown in the following table。
TABLE 2 parcel shelf life (hours) under reward penalty measures
Figure BDA0003030104880000095
(6) The average number of packages which are not taken in the intelligent express cabinet at the end of each day is N1These packages will occupy N1The different reward and penalty strategies of each grid directly influence N1The size of (2). Parcels arriving from different batches are considered not to be picked up the day beyond the corresponding length of time. The number of the lattices occupied by the packages in the next day is N2The number of the grids occupying the third day is N3And the package will be returned 3 days without pickup. Calculating N2The time corresponding time length is as follows: the first 16 hours, the second 12 hours, and the third 6 hours. Calculating N3The time corresponding time length is as follows: first 40 hours, second 36 hours, and third 30 hours. The average parcel number N of the express delivery cabinet at the end of each day1Comprises the following steps:
under the action of no prize:
Figure BDA0003030104880000101
the reward and penalty measures are as follows:
Figure BDA0003030104880000102
(7) when express couriers and clients deposit express in the express cabinet, the express cabinet needs to meet the requirement that the express cabinet is not completely occupied, and the probability of not being completely occupied is 1-PKThe package distribution process is as shown in fig. 4. Then the service rate of the express delivery cabinet system is as follows:
under the action of no prize: mu-lambda (1-P)K)-N158 (one/day) (15)
The reward and penalty measures are as follows: mu-lambda (1-P)K)-N180 (one/day) (16)
The turnover rate TR of the express cabinet system every day can be calculated according to the service rate of the express cabinet system as follows:
under the action of no prize:
Figure BDA0003030104880000103
the reward and penalty measures are as follows:
Figure BDA0003030104880000104
(8) the profit mode of intelligence express delivery cabinet is mainly to collect use fee, advertisement profit etc. to the express delivery person. The profit of express delivery cabinet enterprise calculates specifically to be:
at present, the charging mode for couriers is mainly calculated by the number of packages, and each package is stored in a unit price U of a using unit needing to charge grids of an express cabinetlNo withdrawal was made 3 days, 0.5 yuan. The total grid use fee U charged to the courier each dayLComprises the following steps:
under the action of no prize:
Figure BDA0003030104880000105
the reward and penalty measures are as follows:
Figure BDA0003030104880000106
secondly, the charging mode to the client is mainly aimed at the situation that the storage time exceeds the free storage time limit t0For 24 hour parcels, a timeout rate of U is charged for such parcelse0.5-membered/hour (3-membered capping),
Figure BDA0003030104880000111
the number of packages which are not taken is more than the free storage time limit, and the storage time length t of the packages isk>t0If so, the total overtime fee U is paidEThe calculation formula of (2) is as follows:
Figure BDA0003030104880000112
Figure BDA0003030104880000113
and thirdly, advertising income of the control panel of the express cabinet is also one of the profit modes of operators. When everyone takes the package, the advertisement is activated, so that the operator can make profit, and the unit price of watching the advertisement once is determined as Ua0.1 yuan, the advertisement profit U of each dayAComprises the following steps:
under the action of no prize: u shapeA＝μUaBecoming 5.8 (yuan) (23)
The reward and penalty measures are as follows: u shapeA＝μUaBecoming 8 (yuan) (24)
Fourthly, the express cabinet has little operation cost in the using process, and the operation cost of each cabinet is determined as UcIf 0.1 yuan, the daily operation cost of the intelligent express cabinet system is KUc6-membered;
fifthly, different reward and penalty strategies are established for improving turnover rate, if a customer takes out packages within 4 hours, the customer is involved in issuing small red packages, and the value of each small red package is Ur0.5 yuan, the system issues a total payout U of small red packets each dayRComprises the following steps:
Figure BDA0003030104880000114
the operator's daily profitability can be expressed as:
under the action of no prize: g is UL+UA-KUc25.8 yuan (26)
The reward and penalty measures are as follows: g is UL+UE+UA-KUc-UR30 (yuan) (27).

Claims (2)

1. A simulation method for a storage process of an express delivery cabinet is characterized by comprising the following steps:
(1) daily courier delivery package division lambda1Batch delivery, with batch-to-batch arrival intervals subject to λ1Determining the shape distribution; and the quantity xi of each batch of parcels is a random variable and the probability score thereofCloth is P (xi ═ q) ═ cqQ is 1,2, …, m is a positive integer,
Figure FDA0003030104870000011
the number of packages arriving in one day by the express cabinet
Figure FDA0003030104870000012
Wherein λ is1Representing the number of package batches delivered by the courier each day; ξ is the number of parcels per batch; p (xi ═ q) ═ cqWhere q is 1,2, …, m indicates the probability of c when the number of parcels per batch is qqQ takes values from 1 to m; λ is the total number of parcels arriving per day;
(2) for a queuing system with batch arrival, as the number of the grids of the express cabinet is only K, when a parcel arrives at the express cabinet, if no available grid of the express cabinet is found, the parcel is placed in a manual window; the storage time of the parcels in the express cabinet is regarded as negative index distribution, K grids of the express cabinet are K service desks of a queuing system, and the express cabinet queuing system belongs to a multi-service window loss system queuing system with batch arrival, namely Dξa/M/K/K queuing system;
wherein D isξIndicating that the packages arrive in batches, and the arrival time intervals of the batches are subjected to a deterministic distribution; m represents that the storage time of the package follows negative exponential distribution; k is the maximum grid number of the express cabinet, namely K grids are provided;
(3)Dξthe state { X (t), t ≧ 0} of the/M/K/K system belongs to the birth and death process, and the state space I ═ 0,1,2, …, K } has the following characteristics for the transition of state I:
firstly, a transferring-out process
The right-turning of any state i can be further transferred to any subsequent state i +1, i +2, …, i + m, and the left-turning can only be transferred to the adjacent state i-1;
② shift to process
Any state i is transferred by any state i-m, …, i-2, i-1 on the left side, and only the adjacent state i +1 in the state on the right side of the state i is transferred to the state i;
d can be obtained by the principle of probability conservation of the transfer-in and transfer-out statesξSteady state equation set of/M/K/K:
Figure FDA0003030104870000021
wherein mu represents the storage time of the parcels in the express delivery cabinet and obeys the negative exponential distribution with the parameter of mu; piIndicating the probability that the express delivery cabinet is occupied by i grids, i ═ 0,1,2, …, K, i.e., P0Probability of express cabinet not being occupied by parcel, P1The probability that the express cabinet is occupied by 1 grid; c. CjRepresenting the probability of the number of packages per batch being j, which represents the state j,
Figure FDA0003030104870000022
the probability sum of the number of the parcels arriving in each batch from 1 to m is represented;
for DξFor the/M/K loss queuing system, when the system state x (t) is K, the customer leaves; therefore, when the courier and the client find that the intelligent express cabinet is completely occupied, the courier and the client refuse to continue inputting, the stability of the system is maintained by losing part of input, and the probability of the intelligent express cabinet system being completely occupied in the inputting process is PKThat is, the loss probability of the express cabinet queuing system is PK，PKCan be calculated by the formula (1);
(4) the moment when each parcel is stored in the express cabinet and taken out is 0-t, and the moment when the kth parcel is stored in the express cabinet is
Figure FDA0003030104870000023
The moment when the kth parcel is taken out after the T day of the express cabinet
Figure FDA0003030104870000031
The length of time t that each parcel is stored in the express delivery cabinetkExpressed as:
Figure FDA0003030104870000032
(5) average number of packages N not taken in intelligent express cabinet at end of each day1It can be shown that these packages will occupy N1A grid;
Figure FDA0003030104870000033
wherein the content of the first and second substances,
Figure FDA0003030104870000034
the method comprises the steps that the accumulated probability that a parcel stored in an express cabinet is taken out by a user on the same day is shown, and the accumulated pick-up probability of the user changing along with time obeys Poisson distribution;
Figure FDA0003030104870000035
the sum of the probability that all packages stored in the express delivery cabinet are taken out by a user on the same day is represented;
(6) when express couriers and clients deposit express in the express cabinet, the express cabinet needs to meet the requirement that the express cabinet is not completely occupied, and the probability of not being completely occupied is 1-PK(ii) a Then the service rate of the express delivery cabinet system is as follows:
μ＝λ(1-PK)-N1 (4)
the turnover rate TR of the express cabinet system every day is calculated according to the service rate of the express cabinet system:
Figure FDA0003030104870000036
2. the express cabinet storage resource optimization-oriented reward and penalty strategy method according to claim 1, characterized by introducing the following steps:
if the customer takes out the package within t hours of receiving the pickup short message, the customer is rewarded, if the customer keeps the package for a free time t0Taking out the part of the client, and punishing the part of the client;
the profit mode of the intelligent express cabinet comprises the steps of collecting use fee, advertisement profit and overtime fee for the courier; the profit of express delivery cabinet enterprise calculates specifically to be:
at present, the charging mode for couriers is calculated by the number of packages, and each package is stored in a unit price U of an express cabinet, wherein the unit price U needs to be chargedlThe packages arriving in different batches are considered not to be taken in the same day after the corresponding time length is exceeded; the number of the lattices occupied by the packages in the next day is N2The number of the lattice occupied on the T day is NTThe parcel will be returned on day T without being picked up; the total grid use fee U charged to the courier each dayLComprises the following steps:
Figure FDA0003030104870000041
secondly, the charging mode to the client is mainly aimed at the situation that the storage time exceeds the free storage time limit t0For packages of this type, a timeout fee is charged, the timeout rate being Ue，
Figure FDA0003030104870000046
The number of packages which are not taken is more than the free storage time limit, and the storage time length t of the packages isk>t0If so, the total overtime fee U is paidEThe calculation formula of (a) is as follows:
Figure FDA0003030104870000042
Figure FDA0003030104870000043
wherein, tkThe time length of the package stored in the express cabinet is defined; t is t0A free keeping time limit;
Figure FDA0003030104870000044
the storage time of the parcels in the express cabinet is larger than the cumulative probability of free storage time limit, and the cumulative storage time probability of the parcels in the express cabinet follows negative exponential distribution;
Figure FDA0003030104870000045
the probability sum of all the parcels stored in the express delivery cabinet which are not taken out after exceeding the free storage time limit is shown;
the advertising income of the control panel of the express cabinet is also one of the profit modes of operators; when everyone takes the package, the advertisement is activated, so that the operator can make profit, and the unit price of watching the advertisement once is determined as UaAnd then daily advertisement profit UAComprises the following steps:
UA＝μUa (9)
fourthly, the express cabinet has little operation cost in the using process, and the operation cost of each cabinet is determined as UcAnd the daily operation cost of the intelligent express cabinet system is KUc；
Fifthly, different reward and penalty strategies are established for improving the turnover rate, the issuing of the small red packet is involved if the client takes out the package within t hours, and the value of the single small red packet is UrTotal expenditure U for issuing small red packets every day by the systemRComprises the following steps:
Figure FDA0003030104870000051
wherein the content of the first and second substances,
Figure FDA0003030104870000052
the probability of the accumulated storage time of the parcels in the express cabinet is less than t hours, and the probability of the accumulated storage time of the parcels in the express cabinet obeys negative exponential distribution;
Figure FDA0003030104870000053
indicating the time of deposit of all parcels deposited in the cabinetThe sum of the probabilities of time less than t hours;
in summary, the operator's daily profit G can be calculated from equations (6) to (10):
G＝UL+UE+UA-KUc-UR (11)。
CN202110570298.XA 2021-04-21 2021-04-21 Express delivery cabinet storage resource optimization oriented reward and penalty strategy method Pending CN113191716A (en)

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