CN106611298A - Hospital human resource quantitative configuration method based on queuing theory model - Google Patents
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- G—PHYSICS
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- 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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- G07C—TIME OR ATTENDANCE REGISTERS; REGISTERING OR INDICATING THE WORKING OF MACHINES; GENERATING RANDOM NUMBERS; VOTING OR LOTTERY APPARATUS; ARRANGEMENTS, SYSTEMS OR APPARATUS FOR CHECKING NOT PROVIDED FOR ELSEWHERE
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Abstract
The invention discloses a hospital human resource quantitative configuration method based on a queuing theory model. The configuration method of the queuing theory model comprises four basic structures: an input procedure, service time, a service window and a queuing rule; and the method mainly comprises the following steps: step one, performing workload statistics and questionnaire survey, wherein the statistics index is the working hours and total medical consultations, and the questionnaire survey content is the medical staff acceptable maximum working strength and patient bearable longest waiting time; step two, measuring basic parameters by use of a work-hour measurement method: a service counter number C, an average arrival rate lambda and an average service rate mu; step three, establishing the queuing theory model, analyzing the data by use of the queuing theory analysis model; step four, outputting the following outcome indexes: the working strength rho, an average waiting number Lq, an average staying number Ls, average waiting time Wq, average remaining time Ws, an idle probability Po and a waiting probability P; comparing various data indexes, and regarding the service counter number C satisifying that the working strength rho is less than one and meets the medical staff working strength and the patient waiting time as an optimal data result. The method disclosed by the invention has the advantages that the quantitative configuration problem of the medical staff is effectively solved, and the scientific reference is provided for improving the service effect.
Description
Technical field
The present invention relates to a kind of queuing model quantifies the mathematical theory and method of configuration human resourcess, specifically with one kind
Structure and behavior in queueing theory analysis model dynamic analog queuing system, scientifically analyzes medical worker's human resources configuration
Reasonability.
Background technology
At present world community is faced with the problem of health manpower resources relative shortage, including crew shortage, maldistribution,
Unbalance of structure, allocation ratio are unreasonable etc., and this is not inconsistent with the medical demand of patient, and row is inevitably occurred during patient assessment
Team's phenomenon, causes that the medical waiting time is long, patient satisfaction declines, medical worker's work is acted hurriedly in a messy situation, easily making mistakes causes medical treatment
Dispute, directly affects the medical service quality and level of hospital, thus how the configuration medical resource of reasonable science, improve medical treatment
Service quality is the major issue of modern hospital management.
Queueing theory analysis model is the mathematical theory and method for studying queuing system also known as random service model, mainly
It is optimal design and the optimum control that queuing system is solved on the basis of studying various queuing system probabilistic laws
Problem, it is that quantitatively complicated queueing system structure objective to is dynamically simulated with behavior using mathematical method,
So as to scientifically and accurately be described to the probabilistic law of queuing system.Common queue theory model has single service window M/M/1 moulds
Type, many service window M/M/C models, discrete time model, Markov chain, non-Markovian chain M/G/1, G/M/N, G/G/1 mould
Type, particular module and Optimized model etc., queueing theory is applied to preferably meet hospital admission stream in hospital human resources' configuration
The M/M/C models of journey, ruuning situation when this model can go out configuration difference medical worker with accurate simulation further draws rationally
Human resources configuration scheme.
At present queueing theory analysis model achieves achievement such as queue theory model and is applied to large-scale surpassing in many fields
City's Fare Collection System, to be applied to electronics system for distribution of out-patient department with queueing theory research bank queuing system, queue theory model medium, at this stage
Application of the queueing theory analysis model in general hospital human resources configuration does not also obtain extensive concern and utilization, and hospital is
The service system of one complexity, queuing phenomena is inevitable so can efficiently solve medical services system using queue theory model
The allocation problem of human resourcess and equipment in system, and optimization collocation is provided for the reliable decision-making foundation of hospital management raising.
The content of the invention
Present invention aims to solve that human resources configuration in medical service system is unreasonable and patient due to
The medical problem of queuing phenomena delay, there is provided a kind of hospital human resources based on queue theory model quantify collocation method, real
Existing optimized human resources configuration scheme, reduces patient's waiting time, improves service quality.
The present invention is adopted the following technical scheme that：A kind of queue theory model dynamic analog human resources configuration ruuning situation, by
Four basic structure compositions：Input process, service time, service window and queue discipline, mainly including following operating procedure：Step
A rapid statistics workload and questionnaire survey, statistical indicator is working time and medical total amount, and questionnaire survey content is medical worker
Working strength and patient's waiting time；Step 2 includes with work-hour measurement measuring and calculating underlying parameter：Service number of units C, averagely arrive
Up to rate λ, average service rate μ；Step 3 sets up queue theory model, using queueing theory analysis model analytical data；Step 4 is exported
Final result index：Working strength ρ, average waiting number Lq, averagely stay number Ls, average latency Wq, mean residence time
Ws, idle probability P o and delay probability P；As a result count, indices when the different service number of units of comparison are run are meeting work
Intensity ρ ＜ 1 and to meet medical worker's working strength and service number of units C of patient's waiting time be optimal data result.
The operating procedure of the method is based primarily upon patient by patient source, reaches hospital admission, arranges according to queue discipline
Team waits medical, and doctor requires to be patient assessment according to medical, and patient assessment leaves clinic this process after terminating.
Input process is that patient source and patient reach rule, and the time mutually reached between patient is independence, when
Between be spaced apart random, Annual distribution parameter is unrelated with the time, obeys Poisson certain times of advent and is distributed.
Service time is the temporal regularity that patient receives service, is described by probability distribution, obeys negative exponent service time
Distribution.
Service window is to provide service number of units C of service, i.e., the medical services human resourcess that hospital can provide, medical treatment clothes
Type in business system is Multiple server stations.
Queue discipline is patient according to certain certain order receipt service, and the queue discipline in medical service system is for first
To first servicing, and to wait system.
Preferably, the statistical approach of the workload is all from hospital HIS service system, including the daily working time and
The patient populations for going to a doctor daily.
Preferably, the queue theory model is the M/M/C moulds for meeting hospital admission flow process in several conventional queue theory models
Type, the model is characterized in that patient reaches and obeys Poisson streams, and service time is in quantum condition entropy, C parallel service platform, trouble
Person is unlimited, power system capacity is unlimited, it is stipulated that each information desk work is separate, and average service rate is identical.
Preferably, the queueing theory analysis model, including three modules：Data input module, data analysis module and knot
Fruit output module, wherein result output module include evaluating and simulating two parts, and corresponding key parameter is input into during operation, lead to
Crossing data analysis module carries out Correlative data analysis, finally exports final result index, items when the different service number of units of comparison are run
Final result index, evaluate with simulate in meet certain condition when can draw different human resources configurations in the case of optimal data
As a result.
Preferably, work-hour measurement is that the method for workload and elapsed time internal relation includes man-hour, man-hour unit, work
The measure of office's value.
Specifically, the man-hour refer to the doctor that sees and treat patients complete the program that each link of 1 overall process of seeing and treating patients must carry out and
Time spent by action；The man-hour unit is referred to and completes the average man-hours that all treatment work are consumed, generally with " dividing "
Represent；The man-hour unit value refers to everyone the man-hour unit quantity that can be completed per hour, is represented, man-hour with " man-hour unit/h "
Unit value is regarded as the personal effective time interior per hour, and routine work collects optimal man-hour unit value for 45 works
Shi Danwei/h.
Queueing theory analysis model operating index includes average arrival rate λ, average service rate μ, working strength ρ, average waiting
Number Lq, averagely stay number Ls, average latency W q, mean residence time Ws, idle probability P o and delay probability P.Tool
Body ground, average arrival rate λ represents the average patient number that service system is come in the unit interval, λ=arrival patient populations/total
Working time；Average service rate μ represent the unit interval can the average patient number that completes of being serviced platform, the μ=patient populations that see and treat patients/
Service time summation；Working strength ρ represents the average service time in every medical worker's unit interval, i.e. medical worker to suffer from
Person provides the service time (ρ=λ/μ) of time/total of medical services, is the index for weighing doctor's efficiency of service, the table when ρ >=1
Show that medical worker can not bear completely task, overload operation；Average waiting number Lq is the trouble waited in queuing system
Person's average；It is patient's sum in queuing system averagely to stay number Ls, including patient and the patient populations that wait to see the doctor of going to a doctor；
Average latency Wq is the average time that a patient waits in line in systems；Mean residence time Ws is patient from arrival
Queuing system is to the medical total residence time for finishing and leaving hospital；Idle probability P o is that medical worker keeps idle probability, more
Height explanation work efficiency is lower；Delay probability P is not immediately available service and must not be not to wait for probability when reaching for patient.
The method of statistical result is SPSS17.0 statistical softwares analytical data, using data processings such as mean, standard deviations and
Kruskai-wallis H are checked, and with P ＜ 0.05 significant difference is indicated.
The invention has the beneficial effects as follows：(1) reasonability of human resources configuration is pressed using queue theory model quantitative analysiss；
(2) queueing theory analysis model can scientificlly and effectively solve the problems, such as the human resources arrangement in medical service system, propose optimum
The allocation plan of change, for hospital management reliable foundation is provided；(3) flexible scheduling is carried out according to configuration scheme, is moved
State is adjusted；(4) by system optimization, the equilibrium point between patient and medical worker is found out, is reducing queuing of patients's waiting time
On the basis of reasonable control medical personnel service intensity, the demand of patient and medical worker is met to greatest extent, there is provided
Quality of medical service by following.
Description of the drawings
Below in conjunction with the accompanying drawings the present invention is described in more detail.
Fig. 1 is patient's queuing schematic diagram to hospital, and dotted portion is the queuing system that patient needs to enter；
Fig. 2 is the operating procedure schematic diagram that queue theory model simulates human resources configuration；
Specific embodiment
Below in conjunction with the accompanying drawings the invention will be further described.
Refering to shown in Figure of description 1, hospital is the service system of a complexity, and hospital is just entered when patient enters hospital
Queuing system.Patient reaches hospital by patient source, initially enters the system wait that stands in the queue to register and registers, and patient reaches medical place
Wait to see the doctor system into queuing, wait in line to go to a doctor according to queue discipline, doctor requires to be patient assessment according to medical, when patient connects
Receiving into queuing inspection system, queuing medicine system, queuing system in hospital, patient will be taken to receive after treating and can enter after diagnosis
Queuing Fare Collection System, last patient cures discharge, leaves hospital's queuing system.
Refering to shown in Figure of description 2, queue theory model simulation human resourcess quantify the operating procedure of configuration mainly includes 4
Most of and 10 measurement indexs.
Step one is the statistical work amount stage, and the data statisticss provided with reference to hospital HIS service system draw medical worker
Net cycle time and patient assessment's total amount are used as master data parameter, the working strength and queuing time for consultation involved by questionnaire survey
For the high latency that medical worker's acceptable maximum functional intensity and patient can restrain oneself.Use and voluntarily set
The questionnaire with certain letter validity of meter, is extracted using the method for systematic sampling and coordinates the patient of investigation and analyse and investigate knot
Fruit draws medical worker's acceptable maximum functional intensity and the receptible high latency of patient.
Step 2 is industry-commerce deal, can be calculated divided by net cycle time according to patient assessment's total amount that step one is counted
Average arrival rate λ, the average for representing in the unit interval to go to see a doctor.Average service rate μ uses the second by research worker scene
During meter, measure every patient and receive the required time that once services, μ=unit effective time/every patient service needs
Time, represent the average patient number that can service of unit interval medical worker, the effective time calculates generally according to 75%
With one hour as the unit time.The two indexs for being obtained are using as the leading indicator of input queue's systems soft ware.
Step 3 sets up the queue theory model of M/M/C, and the queue theory model for adopting is to meet the M/M/C of hospital admission flow process
Model, using queueing theory analysis model analytical data, underlying parameter C, λ, μ is input in analysis model, by data analysiss mould
Indices during block operation difference service number of units, wherein service of service number of units C point for analog service number of units and actual setting
Number of units, for contrasting the difference that indices are present between different service number of units, λ and μ is obtained by above-mentioned steps two, its concrete phase
Close operating index data analysis process be：
Services intensity：
Information desk free time probability：
Average waiting number：
Averagely stay number：Ls=Lq+Cρ
Average latency：
Patient's mean residence time：
The probability that patient has to wait for after reaching：
Step 4 exports final result index, every final result index when being run by relatively more different service number of units, it is possible to obtain
Optimal data result in the case of different human resources configurations.Different service number of units C and average service rate μ are input into respectively, are put down
Service rate μ can be fixed value, respectively obtain actual setting service number of units C and simulation arranges the items serviced under number of units C
Index：Working strength ρ, average waiting number Lq, averagely stay number Ls, average latency Wq, mean residence time Ws, sky
Not busy probability P o, delay probability P, compare difference between the two, in service intensity ρ ＜ 1 and working strength and high latency
It is the result to be obtained most reasonably to service number of units C in the case of meeting medical worker and patient requests.
The hospital human resources based on queue theory model of the present invention quantify collocation method, in medical service system
Human resources configuration reasonability have accurately, science, effectively evaluate, hospital management worker can as adjustment standard,
Reasonable while patient assessment's demand is met, dynamic adjustment medical worker's flexible scheduling, reaches continuous improvement medical services matter
The target of amount.
Above example is intended to indicate that the present invention, rather than limits the scope of the invention, all by letter of the invention
Altered and come application all fall within protection scope of the present invention.
Claims (8)
1. a kind of hospital human resources based on queue theory model quantify collocation method, it is characterised in that：Main operational steps bag
Following four part, step one statistics workload and questionnaire survey are included, statistical indicator is working time and medical total amount, and questionnaire is adjusted
It is that the maximum acceptable working strength of medical worker and patient can stand most long waiting time to look into content；Step 2 is surveyed with man-hour
Determining method measuring and calculating underlying parameter includes：Service number of units C, average arrival rate λ, average service rate μ；Step 3 sets up queue theory model,
Using queueing theory analysis model analytical data；Step 4 output final result index includes：It is working strength ρ, average waiting number Lq, flat
Stay number Ls, average latency Wq, mean residence time Ws, idle probability P o and delay probability P；The each item data of comparison
Index, is meeting working strength ρ ＜ 1 and is meeting medical worker's working strength and service number of units C of patient's waiting time for optimum
Data result.
2. the hospital human resources based on queue theory model according to claim 1 quantify collocation method, it is characterised in that：
The available sources of the statistical work amount are the inside HIS medical service systems for studying hospital, including working time day, medical matters people
Member's quantity, medical amount, patient reach time departure and patient assessment's process etc..
3. the hospital human resources based on queue theory model according to claim 1 quantify collocation method, it is characterised in that：
The maximum acceptable working strength of the medical worker and patient can stand high latency both from research team from
The questionnaire of row design.
4. the hospital human resources based on queue theory model according to claim 1 quantify collocation method, it is characterised in that：
Underlying parameter service number of units C of the work-hour measurement represents medical services human resourcess' quantity that hospital can provide；Averagely
Arrival rate λ represents the average patient number that service system is come in the unit interval, λ=arrival patient populations/net cycle time；Averagely
Service rate μ represent the unit interval can the average patient number that completes of being serviced platform, the μ=patient populations that see and treat patients/service time summation.
5. the hospital human resources based on queue theory model according to claim 1 quantify collocation method, it is characterised in that：
The underlying parameter of the work-hour measurement includes patient's average arrival rate λ and average service rate μ, and the data are research worker employing
The method of live manual time-keeping is obtained, and record patient leaves service system from into the treatment of medical service system start to finish
Time used.
6. the hospital human resources based on queue theory model according to claim 1 quantify collocation method, it is characterised in that：
The queue theory model is preferably in several conventional queue theory models service window queuing more than the M/M/C for meeting hospital admission flow process
Model, the feature of the model is that patient reaches and obeys Poisson streams, medical worker's service time in quantum condition entropy, C it is in parallel
Medical services platform, patient are unlimited, queuing system infinite capacity, it is stipulated that each information desk work is separate, and average service rate phase
Together.
7. the hospital human resources based on queue theory model according to claim 1 quantify collocation method, it is characterised in that：
The queueing theory analysis model, including three modules：Data input module, data analysis module and result output module, operation
When corresponding parameter be input into by input module include：C, λ, μ, carry out Correlative data analysis, finally by data analysis module
Output final result index includes：ρ, Lq, Ls, Wq, Ws, Po and P.
8. the hospital human resources based on queue theory model according to claim 1 quantify collocation method, it is characterised in that：
Working strength ρ is the average service time in every medical worker's unit interval, i.e. medical matters people in described output final result index
Member provides the service time (ρ=λ/μ) of time of medical services/total for patient；Average waiting number Lq is that queuing system is medium
The patient's average treated；It is patient's sum in queuing system averagely to stay number Ls, including patient and the trouble of waiting to see the doctor gone to a doctor
Person's sum；Average latency Wq is the average time that a patient waits in line in systems；Mean residence time Ws is trouble
Person finishes the total residence time for leaving hospital from queuing system is reached to going to a doctor；Idle probability P o is that medical worker keeps idle
Probability；Delay probability P is not immediately available service and must not be not to wait for probability when reaching for patient.
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