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A study on optimization of waiting time for outpatients at Ganga hospital,
Coimbatore
1Dr.R.Vinayagasundaram,
2Dr.V.Muthukumaran,
1Associate Professor, Department of Management, Kumaraguru College of Engineering,
Coimbatore, Tamil Nadu, India,
2Professor, Department of Mechanical Engineering, Kumaraguru College of Technology,
Coimbatore, Tamil Nadu, India,
Abstract
To identify the various procedures at the outpatient clinic as well as to investigate the
possible operational problems that may lead to excessive patients’ waiting time. A patient’s
experience in waiting time will radically influence his/her perceptions on quality of the service.
Method: The study was carried out in one of the leading hospital in Coimbatore The subjects
were outpatients who came to the outpatient clinic at Ganga hospital. Data were analyzed using
the DMAIC method and supported by the statistical tools. Direct observation and oral survey
was conducted in order to study the current process and make some improvements.
Conclusion: The main cause for the outpatient waiting time and total process time is the delay in
x-ray due to higher patient arrival rate. A model is proposed based on scheduling the patients that
helps to reduce the waiting time of the patients.
Keywords: patients, scheduling, DMAIC method, outpatient waiting time.
1. Introduction
In every hospital, if a patient enters he or she is subjected to waiting time. The waiting time
differs from patient to patient based on their needs. A patient’s experiences in waiting time will
radically influence their perceptions about the quality of the service. Discharge delay is also a
biggest issue in the hospitals; it leads to the waiting time for the newly admitted patients. Ganga
International Journal of Pure and Applied MathematicsVolume 119 No. 17 2018, 2305-2317ISSN: 1314-3395 (on-line version)url: http://www.acadpubl.eu/hub/Special Issue http://www.acadpubl.eu/hub/
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hospital is one of the leading orthopedics, plastic and reconstructive surgery, neurosurgery, and
radiography hospitals in Coimbatore. It comprises of the general outpatient clinics, the specialist
clinics, X-ray department, surgical and inpatient facilities.
2. Need for the study:
Even though Ganga hospital was highly advanced in technology, they experienced
difficulties in outpatient waiting time, total process waiting time and delay in discharge of the
patient and receives many complaints from the patient regarding these issues. This has aroused
the interest of the researcher to minimize the outpatient waiting time, appointment waiting time,
total process time and delay in discharge using DIMAC method.
3. OBJECTIVES OF THE CASE STUDY
3.1 Primary objectives
To study about optimization of waiting time for outpatients and discharge for inpatients
at Ganga hospital, Coimbatore.
To study about the current process of outpatient waiting time, total process waiting time and
discharge of patients.In order to study about the outpatient waiting time, total process time and
discharge delay, primary data were collected through direct observation and oral survey. Data
collection is the process of collecting data in order to analyze and understand the current
progress level. The patient waiting time has been directly observed and measured using the stop
watch.By means of conducting small oral survey with the nurse, registration desk and the patient,
the current process and the difficulties in the process can be known.
4. Methodology
4.1 DIMAC method
I Define phase
In this phase the problem was identified as the waiting time of the patient. A patient’s experience
in waiting time will radically influence his/her perceptions on quality of the service. It also
increases the working time for the doctors and the nurses.
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II Measure phase
In Measure phase, three methods were used such as Process mapping for understanding
the flow of process, direct observation and survey for the data collection.
Process Mapping
Process mapping is a workflow diagram Shennes Mathew, T. Janani (2017) ,to bring forth a
clearer understanding of a process or series of parallel processes.
OUTPATIENT PROCESS FLOW
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III Analyze phase
Cause and effect diagram
Also Called:Ishikawa Diagram
Variations: cause enumeration diagram, process fishbone, time–delay fishbone, CEDAC
(cause–and–effect diagram with the addition of cards), desired–result fishbone, reverse fishbone
diagram.
The fishbone diagram identifies many possible causes for an effect or problem. It can be used to
structure a brainstorming session. It immediately sorts ideas into useful categories.
Long
waiting
time
Time schedule
Patients Overcrowding
Unawareness Token system
X-ray
overcrowdi
ng
Token of Op is not
useful for X-ray
patients
High patient
arrival rate
Issue delay
Uneducated
people
Scattered
arrangements
No scheduling
system for OP
Lag of control
over crowd
Not arrived on
time
Improper
scheduling
E mail
interference
Patient
perception
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IV Improve Phase
ASSUMPTIONS:
1. As per the model suggested the timings for consulting the doctor is classified into seven
batches.
BATCH TIMING Number of patients
Batch I 8.30a.m – 9.30a.m 12
Batch II 9.30a.m – 10.30a.m 12
Batch III 10.30a.m – 11.30a.m 12
Batch IV 11.30a.m – 12.30p.m 12
Batch V 12.30p.m – 1.30p.m 12
Batch VI 2.30p.m – 3.30p.m 12
Batch VII 3.30p.m – 4.30p.m 12
Total 84
For every OP clinic = (12*7) = 84 patients
Total Number of patients = 84*5 = 420
Total number of OP clinic= 5
Total number of X-ray unit = 4
2. Assume that arrival rate between patients in each batch is 2minutes and all the patients were
going for the same OP clinic.
3. From the study, among every 10 patients, 7 will the X-ray patient. (70% are X-ray patients).
50% of the patients getting the consultation in 6 minutes, so assume that the consultation time for
every patient is 6minutes.
4. From the study,
Average waiting time (with in X-ray room) = 4.5 minutes
Average waiting time between two consecutive X-ray patients = 14 minutes
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Comparing before and after implementation of the suggested model
Testing of Hypothesis using Paired Sample T-test:
Step 1
Null Hypothesis
H0: The waiting time of the patients not reduced after the implementation of the model.
Ha: The waiting time of the patients reduced after implementing the model.
Step 2
Statistical Test: Paired Sample T-test
Justification
The study is focusing on waiting time before and after implementing the model. In order
to compare before and after impact of the suggested model paired sample t-test has been used to
analyze the data.
Since the data were available in parametric scale, paired sample t-test is more likely
preferred to get the accurate output.
Step 3
Level of Significance
For this study the alpha value is equal to 5% i.e. level of significance = 0.05.
Step 4
Process in SPSS
Analyze Compare means Paired Sample T-test
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Step 5
Analyze and Interpretation
Paired Samples Statistics
Mean N Std. Deviation Std. Error
Mean
Pair 1 Before Reg.time 4.6000 30 .93218 .17019
After Reg.time 4.3333 30 .47946 .08754
Pair 2
Before
wait.timebeforeXray 16.6333 30 12.67222 2.31362
After wait.timebeforeXray 10.9333 30 11.97968 2.18718
Pair 3 Before Xraywaiting.time 80.9667 30 42.81837 7.81753
After Xraywaiting.time 16.1667 30 12.14093 2.21662
Pair 4 Before wait.timeafterXray 9.7000 30 8.62294 1.57433
After wait.timeafterXray 9.4000 30 9.05291 1.65283
Pair 5 Before Total.waiting.time 111.7333 30 50.96039 9.30405
After Total.waiting.time 40.5333 30 15.57348 2.84332
From the table pair 3 has the maximum t value.
Decision Table for pair 3, t=7.820
P value Relation Significance Result
0.000 Less than 0.050 Reject the null.
From this interpretation the P value (0.000) is less than the significance value (0.050).
Therefore reject the null. Which implies that alternate hypotheses is accepted.
i.e. Ha is accepted
Step 6
Result
Therefore the waiting time of the patients will be reduced by implementing the model. It
helps to reduce both the X-ray waiting time and the total process waiting time.
Descriptive Statistics
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Table Average time after and before implementing the model
Registration time
(minutes)
Waiting time before
X-ray (minutes)
X-ray waiting
time
(minutes)
Waiting time after
X-ray (minutes)
Total waiting time
(minutes)
Before After Before After Before After Before After Before After
4.6 4.3
16.6 10.9 80.9 24.25 9.7 9.4 111.7 40.5
Fig.Average time after and before implementing the model
Interpretation:
The outpatient waiting time is mainly occurred due to the X-ray waiting time. X-ray waiting time
is the root causes for the outpatient waiting time and total process time.
0
20
40
60
80
100
120
Reg.time Waiting timebefore X-ray
X-ray waitingtime
Waiting timeafter X-ray
Total waitingtime
Before
After
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Benefits from the model
Benefits from implementing the suggested model
Better service to the people.
FIFO concept can be achieved.
X-ray waiting time gets reduced.
Better utilization of resources.
Avoid overcrowding.
Equal allocation of patients in every OP clinic.
Patients were able to know when they are going to get the service.
Before implementing the model
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After implementing the model
V Control phase
The improvements in the process were frequently inspected. The inspection has been done by
weekly or monthly monitoring process. A feedback system has been developed for the further
improvements.
Findings
X-ray waiting time is the root cause for both the outpatient waiting time and total process
waiting time.
There is an imbalance in the existing process were non X-ray patients getting service in a
short duration whereas the duration for the X-ray patient is very high.
Every patients had a perception of early visit to the hospital can helps them to get the
faster service. But their perception leads to the overcrowding.
In discharge, doctor’s instruction delay plays a major role in determining the delay in
discharge.
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In billing section there is an idle time before billing and after billing. The price fixation
by chief takes the major time in discharge delay-billing section.
During discharge, in ward secretary section the more time consuming process is getting
the signature of the consultant.
Before implementing the model
Average registration waiting time = 4.6 minutes.
Average waiting time before x-ray (in front of OP) = 16.6 minutes.
Average waiting time after x-ray (in front of OP) = 9.7 minutes.
Average X-ray waiting time = 80.9 minutes.
Average total waiting time = 111.7 minutes.
After implementing the model
Average registration waiting time = 4.3 minutes.
Average waiting time before x-ray (in front of OP) = 10.9 minutes.
Average waiting time after x-ray (in front of OP) = 9.4 minutes.
Average X-ray waiting time = 24.25 minutes.
Average total waiting time = 40.5 minutes.
5. Suggestions
The hospital should ensure that the FIFO (First in First out) is followed while providing
the service to the patients.
In spite of giving token in the X-ray reception, the token should be given
Allocate the X-ray units to the OP clinic. It leads to the equivalent distribution of the
patients to the OP clinic when leaving from X-ray unit.
The discharge delay is mainly due to the doctor’s instruction delay about the
6. Conclusion
In the service sector the time plays a major role in determining the quality of the service.
From this study it has been understood and analyzed that lot of variables involved in the waiting
time as well in the discharge delay of the patients. Even though many variables affects the OP
waiting time and total process waiting time, the X-ray waiting time is the root cause. On the
other side the root cause for the discharge delay is the doctor’s instruction delay.
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7. References
[1] Study on outpatients’ waiting time in Hospital University Kebangsaan Malaysia (HUKM)
through six sigma approach” by MohamadHanaffi Abdullah in 2005
[2] “Waiting patiently”- An analysis of the performance aspects of outpatients scheduling in
health care institutes (AnkeHutzschenreute,VrijeUniversitiet Amsterdam, BMI-paper).
[3] “Outpatient appointment scheduling” by JochemWesteneug in july 2007
[4] “Hospital discharge: A descriptive study of the patient journey for frail older people with
complex needs” (by Fraser Mitchell, Mhairi Gilmour, Gordon Mclaren)
[5] Shennes Mathew, T. Janani,” A Comparative Analysis Of Various Control Strategies On
Heat Exchanger System”, International Journal Of Pure And Applied Mathematics , Vol
117 ,No. 22, pp no. 59-63, 2017.
[6] Referred websites
http://www.reportlinker.com/ci02241/Healthcare.html
www.ibef.org/industry/healthcare-india.aspx
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