Modelling Time Dimension with Fact Table containing Start Date and End Date

Hi Gurus,
I have a time dimension with Year till Date. I have a fact table which consists of Start Date, End Date, Person ID, Department ID.
How do i design Time dimension with fact table the below scenario
In the dashboard i have start Month and End month as prompts.
In the report i need to display Count(Person ID) > Start Date and < End Date along the trend.
For instance, i have selected Jan-2009 as start date and Apr-2009 as End Date, then i need to display Count(Person ID) of Jan-2009, Feb2009, Mar-2009 andApr-2009.
I Can not connect Time dimension with only Start Date or only with End Date to get the trend along the months.
Please advice on the issue which i am having.

Hi,
Thanks for the response, Infact i tried using Complex join in physical layer. I have considered Time table joined with Fact table, and used >= and took and alias of the Time table and joined fact table using <=. When coming to BMM, i am not knowing how do i design this as if i merge the both the time dimensiona and its alias into single table, values will not be correct and if i make them as seperate columns. i can not show the trend as both are different columns.
Can you please let know where i am going wrong.
Thanks

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Hi everyone,
I'm facing with problem when calculating duration between start & end with this function below . This fuction is working well, but i want to change working time from 8:00 am to 17:30 pm instead of 17:00 , and lunch time from 12:00 to 13:30 instead
of 13:00 as present . Problem is , i changed data type of start hour and end hour from INT to decimal . But it is still wrong .
Pls help me . It's very urgent bcoz i need it for monthly report .
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ALTER Function [dbo].[GetWorkingMin](@pStartDate DateTime, @pEndDate DateTime) Returns Int
AS
Begin
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      Declare @EndDate DateTime = @pEndDate
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            Set @StartHour = DatePart(HH, @StartDate)
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    Begin
            Set @StartDate = DateAdd(hour, @LunchHour + 1, DateDiff(DAY, 0, @StartDate))
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            Set @StartHour = @LunchHour + 1
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    Begin
            Set @StartDate = DateAdd(hour, @StartWorkingHour + 24, DateDiff(DAY, 0, @StartDate))
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    End
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    Begin
            Set @EndDate = DateAdd(hour, @LunchHour +1, DateDiff(DAY, 0, @EndDate))
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            Set @EndHour = @LunchHour + 1
      End
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    If DateDiff(Day,@StartDate,@EndDate) <= 0
    Begin
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            If (Select Count(*) From @Holidays Where HDATE=DateAdd(dd, DateDiff(dd,0,@StartDate), 0)) = 0
            -- If day is not a holiday
                If @EndDate<@StartDate Return 0 Else
                Begin
                              Set @WorkMin=DATEDIFF(MI, @StartDate, @EndDate)
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                              If (@StartHour <= @LunchHour and @EndHour >= @LunchHour + 1)
                                    Set @WorkMin = @WorkMin - 60;
                        End
            Else Return 0
        Else Begin
                  if (DATEPART(dw,@StartDate)=7) set @WorkMin = @WorkMin + DATEDIFF(MI, @StartDate, @EndDate);
                  Return @WorkMin
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        While DateDiff(Day,@StartDate,@EndDate) > 0
        -- While start and end days are different
        Begin
            If Datepart(dw,@StartDate)>1 And DATEPART(dw,@StartDate)<7    -- If this is a weekday
            Begin
                If (Select Count(*) From @Holidays Where HDATE=DateAdd(dd, DateDiff(dd,0,@StartDate), 0)) = 0 -- If this is not a holiday
                Begin
                    If @Partial=1
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                    Begin
                        Set @WorkMin=@WorkMin + DATEDIFF(MI, @StartDate, DateAdd(hour, @EndWorkingHour, DateDiff(DAY, 0, @StartDate)))
                        If (@StartHour <= @LunchHour) Set @WorkMin = @WorkMin - 60;
                        Set @StartDate=DateAdd(hour, @StartWorkingHour+24, DateDiff(DAY, 0, @StartDate))
                        Set @Partial=0
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                        Set @WorkMin=@WorkMin + (@EndWorkingHour-@StartWorkingHour - 1)*60
                        Set @StartDate = DATEADD(DD,1,@StartDate)
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                End
                Else Set @StartDate = DATEADD(DD,1,@StartDate)
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                        If (DATEPART(dw,@StartDate)=7)
                        Begin
                              Set @WorkMin = @WorkMin + DATEDIFF(MI, @StartDate, DateAdd(hour, @LunchHour, DateDiff(DAY,
0, @StartDate)));
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                        Set @StartDate = DateAdd(hour, @StartWorkingHour + 24, DateDiff(DAY, 0, @StartDate))
                              Set @StartHour = DatePart(HH, @StartDate)
                  End
        End
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        -- If last day is a weekday
            If (Select Count(*) From @Holidays Where HDATE=DateAdd(dd, DateDiff(dd,0,@StartDate), 0)) = 0
            -- And it is not a holiday
                Begin
                              If @Partial=0 Set @WorkMin=@WorkMin + DATEDIFF(MI, @StartDate, @EndDate) Else
Set @WorkMin=@WorkMin + DATEDIFF(MI, DateAdd(hour, @StartWorkingHour, DateDiff(DAY, 0, @StartDate)), @EndDate)
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                        End
            If (DATEPART(dw,@EndDate)=7)
            Begin
                  Set @WorkMin = @WorkMin + DATEDIFF(MI, DateAdd(hour, @StartWorkingHour, DateDiff(DAY, 0, @EndDate)),@EndDate);
            End
    End
    If @Reverse=1 Set @WorkMin=-@WorkMin
    Return @WorkMin
End

The problem is you cannot specify partial hours.
I think your best bet would be to alter the function sufficiently so it will accept times instead of hours, and where you're making comparisons to the hour, use dates/date functions instead.
Then, just set the variable as a full time (or datetime, if you need).

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Modelling Time Dimension with Fact Table containing Start Date and End Date

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