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How to Do Call Volume Forecasting for Service Desks

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  • Discussion Forum
    "I am working in a contact center environment.... What I am trying to determine is the likelihood that a specific time segment will experience a call termination due to more calls coming in than there are agents to answer on an average day...."

    Contribute to this Discussion

    B
    Download Products
    y Krishna Murthy Dasari

    Defining full-time staffing levels for a service desk is very difficult without a definitive way to predict the demand for service. Workload forecasting is the basis of any good staffing plan. While there are many forecasting techniques available, one that is simple, easy to implement and can be applied to any size service desk is the best place to start.

    The forecasting process is a combination of using judgment and application of mathematics. The mathematical process takes past history and uses it to predict future events. Both these components should be used in order to come out with an accurate forecast. A working knowledge of the statistical techniques discussed here will make the process understandable. Even for organizations which use time series analysis software, it is critical to understand these calculations as it helps in correctly interpreting results and verifying the accuracy of the results generated by the software.

    Introduction to the Methodology

    There are two main approaches to forecasting. One is the explanatory method which is based on an analysis of factors which are believed to influence the call volume; the other is the exploration method where the prediction is based on an inferred study of past general call volume behavior over time. Even for a modest degree of accuracy the former method is more difficult to implement and validate than the latter approach. For this reason, the focus here is on the exploration or time series approach to forecasting.

    This approach is scientifically valid yet easy to follow and implement.

    For an IT service desk whose primary purpose is to coordinate and resolve incidents as quickly as possible, an optimum level of staff numbers is required. A forecast of volume of calls helps the service desk in computing the optimum number of staff numbers. As a first step the forecast requires the past data of call volume. Table 1 gives the data for the years 2004, 2005 and 2006. In this case, it is believed that the recent three years reflect the current business situation and it is expected these patterns to continue into 2007.

    This data is adjusted for variation to eliminate certain spurious differences which are caused by peculiarities of the calendar. For example, the call volume for the month of February may be less not because of any real drop in activity but because of the fact that February has fewer days. The data is plotted in Figure 1. The red line represents the original call volume. Within each year a decline in call volume is observed in the beginning and an increase in the middle of the year and again a decline during the end of the year. Between the given years call volume seems to generally increase overall.

     Table 1: Call Volume for 2004, 2005 and 2006
     Month

    2004

    2005

    2006

     January

    57,776

    71,328

    85,637

     February

    61,866

    73,650

    86,128

     March

    52,993

    70,658

    90,530

     April

    53,096

    66,371

    80,283

     May

    67,789

    79,350

    94,169

     June

    75,203

    87,445

    99,654

     July

    62,831

    78,539

    95,303

     August

    75,547

    87,846

    99,880

     September

    76,905

    83,774

    90,153

     October

    70,446

    82,878

    96,010

     November

    71,952

    79,947

    89,092

     December

    62,712

    65,325

    67,517

    Data in this table is adjusted for calendar variation. Method: Divide each month's data by number of days in the month to find the daily average. Multiply daily averages by 30.4167 (average number of days in a month) to obtain monthly data.

     Figure 1: Call Volume – Original, Deseasonalized and Trend Effects

    Decomposing the Call Volume Data

    General analysis of the Figure 1 time series plot shows that a variety of things are likely influencing the call volume. It is important that these influences be decomposed out of the raw call volume data shown in Table 1. Generally there are four types of patterns, movements or components of time series. They are:

    1. Seasonal variations: The fluctuations which are repeated from year to year with about the same timing and level of intensity.
    2. Secular trend or simply trend: The general tendency of the data to grow or decline over a long period of time.
    3. Cyclical variations: Long-term movements that represent consistently recurring rises and declines in activity. These are not caused by seasonal effects.
    4. Irregular variations: Variations in business activity which do not repeat in a definite pattern.

    To be able to make a proper call volume forecast, one must know to what extent each of the above components is present in the data. To understand and measure these components, the forecast procedure involves initially removing the component effects from the original data. This is called decomposition. After the effects are measured, making a call volume forecast involves putting back the components on new call volume estimate. This is called as recomposition.

    Deseasonalizing the Call Volume Data

    This step explains the removal of seasonal effects in the data. Without deseasonalizing the original call volume, one may incorrectly infer that the observed growth patterns will continue indefinitely when actually the increase is just because of the time of the year. To measure seasonal effects, a series of seasonal indexes should be calculated. A practical and widely used method to compute these indexes is the ratio to moving average approach. These indexes quantitatively measure how far above or below a given period stands in comparison to the expected call volume.

    Procedure for calculation of seasonal indexes is:

    1. Compute a centered 12-month moving average.
    2. Compute the ratio of actual call volume in each month to the moving average.
    3. Average the above ratios for Months 1 through 12 for all given years.
    4. Correct the averaged ratios from Step 3 for possible round off error to get the 12-month seasonal index set.
    5. Divide the original call volume by the seasonal indexes to get the deseasonalized call volumes.

    The computation is shown in Tables 2 and 3.

    The removal of seasonality from the original data is depicted in Figure 1 by the blue line. Note that the deseasonalized call volumes do not oscillate as widely as the original call levels. The remaining up and down movement must therefore be due to trend, cyclic and irregular effects.

     Table 2: Ratio to Moving Average Calculations for Selected Months
     Month
     in 2004

    Call
    Volume (A)

    12-Month
    Moving Average (B)

    Ratio to Moving
    Average (C = A/B)

     January

    57,776

      
     February

    61,866

      
     March

    52,993

      
     April

    53,096

      
     May

    67,789

      
     June

    75,203

      
     July

    62,831

    66,324

    94.73

     August

    75,547

    67,380

    112.12

     September

    76,905

    68,607

    112.09

     October

    70,446

    69,896

    100.79

     November

    71,952

    70,931

    101.44

     December

    62,712

    71,923

    87.19

     Table 3: Seasonal Index and Deseasonalized Call Volume for Selected Periods
     


    Ratio to Moving Average

    Seasonal
    Index % (D)


    Year 2004


     
    Month


    2004
    (A)


    2005
    (B)


    2006
    (C
    )

    {Calculated
    by Averaging
    A, B and C]*



    Month

    Original
    Call Volume
    (E)

    Deseasonalized
    Call Volume
    (F = E/D)
     

     Jan 

    97.59

    100.45

    99.02

     Jan

    57,776

    58,348

     Feb 

    99.19

    95.57

    97.38

     Feb

    61,866

    63,531

     Mar 

    94.14

    99.61

    96.88

     Mar

    52,993

    54,702

     Apr 

    87.49

    91.19

    89.34

     Apr

    53,096

    59,430

     May 

    103.44

    105.85

    104.65

     May

    67,789

    64,779

     Jun 

    113.34

    111.42

    112.38

     Jun

    75,203

    66,917

     Jul

    94.73

    100.88

     

    97.81

     Jul

    62,831

    64,241

     Aug

    112.12

    111.24

     

    111.68

     Aug

    75,547

    67,647

     Sep

    112.09

    104.30

     

    108.20

     Sep

    76,905

    71,078

     Oct

    100.79

    101.41

     

    101.10

     Oct

    70,446

    69,681

     Nov

    101.44

    96.41

     

    98.92

     Nov

    71,952

    72,734

     Dec

    87.19

    77.72

     

    82.46

     Dec

    62,712

    76,054

     * Total of Seasonal Index % is 1199.81 which is very close to 1200. No correction factor is required.

    Measuring the Call Volume Trend

    Measurement of trend component is done by fitting a line to the data given in Table 1. This fitted line is calculated by the method of least squares which represents the overall linear growth over time. The trend line equation is:

    Y = A + BX

    Where Y = Predicted call volume occurring in the period X due to the trend effect
             A = Vertical intercept of the trend line equation
             B = Call volume growth rate per month, i.e., the slope of the trend line equation

    The trend line parameters are calculated by use of mathematical formulas or Excel. The trend line equation for this case is found to be:

    Y = 77,516 + 946(X)

    To illustrate how the above equation is used, suppose the organization's interest is in the predicted call volume accorded by trend for January of 2006. This period corresponds in the equation to X = 6.5. Thus the predicted call volume for January 2006 is 83,665.

    The trend line is depicted in Figure 1 by the blue line.

    Measuring the Cyclic Effects

    To measure how the general business cycle affects call volume, a series of cyclic indexes are calculated. The deseasonalized data still contains trend, cyclic and irregular components. Also the predicted call volume using the trend equation do represent pure trend effects. Thus, it stands to reason that the ratio of the deseasonalized call volume and the call volume derived from the trend line equation should provide an index which reflects cyclic and irregular components only. The cyclic index calculations are shown in Table 4.

     Table 4: Cyclic Index and Smoothed Cyclic Index for Selected Months

     Month
     in 2004

    Deseasonalized
    Call Volumes
    (A)*

    Predicted Call
    Volume/Trend
    (B)**

    Cyclic Index
    Percent
    (C = A/B)

    Three-Period
    Index Smoothing
    (D)

     January

    58,348

    60,961

    95.71

     

     February

    63,531

    61,907

    102.62

    95.12

     March

    54,702

    62,853

    87.03

    94.27

     April

    59,430

    63,799

    93.15

    93.41

     May

    64,779

    64,745

    100.05

    98.36

     June

    66,917

    65,691

    101.87

    99.44

     July

    64,241

    66,637

    96.40

    99.45

     August    
     September    
     October    
     November    
     December    
     * Calculated similar to Table 3. ** Calculated by using trend line equation.

    The business cycle is longer than the seasonal cycle and it should be understood that cyclic analysis is not as accurate as seasonal analysis due to complexity of general economic factors over long periods of time. Thus a general approximation of the cyclic factor is what is required to forecast the call volume. To study the general cyclic movement rather than precise cyclic changes, the cyclic plot must be smoothed out by replacing each index calculation with a centered three-period moving average. This is shown in Table 4. Both the cyclic index and the smoothed cyclic index are depicted in Figure 2.

     Figure 2: Cyclic Index and Smoothed Cyclic Index Plot

    In Figure 2, it can be noted that cyclic peaks occurring in Periods 11 and 27, and Periods 5 and 24 are approximately of the same magnitude and may thus be parts of different business cycles. From this, it can be infer that the cyclic length, i.e., the elapsed time before the cycle repeats is approximately 20 months. In order to make call volume forecasts, the approximate continuation of this cycle curve is projected into the next few months of 2007 in the figure.

    Making the Call Volume Forecast

    At this point of time, the study of the past data to understand the different components of the time series analysis is completed. Now an attempt can be made to forecast volumes for the first two months of 2007. The procedure is:

    Step 1: Compute the future call volume trend level using the trend line equation
    Step 2: Multiply the call volume trend level from Step 1 by the period seasonal
    Step 3: Multiply the result of Step 2 by the projected cyclic index to include cyclic       
                  effects and get the final forecast result

     Table 5: Call Volume Forecast Calculations for January and February 2007


     
     Year
     
    2007


    Predicted Call
    Volume/Trend
    (A)*


    Seasonal
    Index %
    (B)**

    Estimated Call
    Volume w/Trend
    & Seasonal Effects
    (C = A x B)


    Projected
    Cyclic Index
    (D)***


    Call Volume
    Forecast
    (E = C x D)

    Forecast Adjusted
    for Calendar Variation
    (F = E/30.4167 [Average
    Number of Days in Month]

     January

    95,017

    0.99

    94,085.8334

    0.99

    93,145

    94,931

     February

    95,963

    0.97

    93,448.7694

    1.01

    94,383

    86,884

     * From trend line equation Y = 77516+946(X). X values for January and February are 18.5 and 19.5 respectively.
     ** From Column (D) of Table 3.
     *** Estimated by inspection of cyclic projection in Figure 2.

    The actual call volumes for January and February 2007 were 94,530 and 87,224 respectively.

    Summary: Math and Firsthand Knowledge

    This call volume forecasting procedure can be applied to any service desk which has data for the past few years. The advantage of the procedure is that it is simple to understand and implement and at the same time a fairly accurate. An effective combination of the mathematical calculations with management's firsthand knowledge of the situation is required to achieve accurate forecasts. There are other more complex forecasting techniques, but organizations should go through an evolutionary progression in adopting them. Start with a simple forecasting method, gain knowledge and move towards more sophisticated methods if necessary.

    About the Author: Krishna Murthy Dasari is a software quality professional with 12 years of experience in quality. He has worked in manufacturing and information technology industries. He has specialized experience in ISO 9000, CMMI, ITIL, Six Sigma and information security management. He is currently working with Satyam Computer Services Ltd. He can be reached at dvkm_dasari@yahoo.com.

     
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