TSQL Dynamic Update of TOP(n) Rows - sql-server

Question

i have a table with one line per travel
second table has values of origin and destination and quantity for each combination
i need to run an update that run on the second table that update top N rows on the first table (n comes from the second table)
im using this update script inside a cursor in a procedure :
ALTER PROCEDURE [dbo].[SP_Travels_History_FromMissing]
AS
BEGIN
SET NOCOUNT ON;
DECLARE #C_Day_Type_Code INT = NULL
DECLARE #C_PartOfDay_Code INT = NULL
DECLARE #C_Station_From INT = NULL
DECLARE #C_DestinationStation INT = NULL
DECLARE #C_Deploy INT = NULL
TRUNCATE TABLE [TCK_TMP_Fact_ALL_Travels_History_FromMissing]
INSERT
INTO [TCK_TMP_Fact_ALL_Travels_History_FromMissing]
SELECT TRV.Day_Type_Code,
TRV.PartOfDay_Code,
HIS.Station_From,
TRV.DestinationStation,
-- TRV.TotalTravels,
-- HIS.Percentage,
-- (TRV.TotalTravels * HIS.Percentage) / 100,
CAST(CEILING((TRV.TotalTravels * HIS.Percentage) / 100) AS INT) Deploy
FROM
(
SELECT DAT.Day_Type_Code,
-- DATEPART(HOUR,[EntranceDate]) EntranceHour,
POD.PartOfDay_Code,
DestinationStation,
COUNT(*) TotalTravels
FROM [Tickets].[dbo].[TCK_STG_Fact_Contract_Magnetic_Travels1] TRV
LEFT OUTER JOIN [Tickets].[dbo].[TCK_DWH_Dim_Date] DAT ON CAST(TRV.[ExitDate] AS DATE) = CAST(DAT.Date AS DATE)
LEFT OUTER JOIN [Tickets].[dbo].[TCK_DWH_Dim_Manual_PartOfDay] POD ON DATEPART(HOUR,TRV.[ExitDate]) = POD.PartOfDay_Hour
WHERE [EventID_Entrance] = -1
GROUP BY DAT.Day_Type_Code,
POD.PartOfDay_Code,
DestinationStation
) TRV
LEFT OUTER JOIN
(
SELECT *
FROM [dbo].[TCK_DWH_Fact_ALL_Travels_History_FromMissing]
WHERE [Total_Travels] IS NOT NULL
) HIS ON HIS.Day_Type_Code = TRV.Day_Type_Code
AND HIS.PartOfDay_Code = TRV.PartOfDay_Code
AND HIS.Station_To = TRV.DestinationStation
WHERE CAST(CEILING((TRV.TotalTravels * HIS.Percentage) / 100) AS INT) > 0
ORDER BY 1,2,4,5 DESC
DECLARE Missing_Cursor CURSOR FOR
SELECT [Day_Type_Code],
[PartOfDay_Code],
DestinationStation,
Station_From,
[Deploy]
FROM [Tickets].[dbo].[TCK_TMP_Fact_ALL_Travels_History_FromMissing]
ORDER BY [Day_Type_Code],
[PartOfDay_Code],
DestinationStation,
[Deploy] DESC,
Station_From
OPEN Missing_Cursor
FETCH NEXT
FROM Missing_Cursor
INTO #C_Day_Type_Code,
#C_PartOfDay_Code,
#C_DestinationStation,
#C_Station_From,
#C_Deploy
WHILE ##FETCH_STATUS = 0
BEGIN
UPDATE TOP (#C_Deploy) TRV
SET TRV.SourceStationID = #C_Station_From,
TRV.MissingStationSourceCode = 888
FROM [Tickets].[dbo].TCK_STG_Fact_Contract_Magnetic_Travels1 TRV
LEFT OUTER JOIN [Tickets].[dbo].[TCK_DWH_Dim_Date] DAT ON CAST(TRV.[ExitDate] AS DATE) = CAST(DAT.Date AS DATE)
LEFT OUTER JOIN [Tickets].[dbo].[TCK_DWH_Dim_Manual_PartOfDay] POD ON DATEPART(HOUR,TRV.[ExitDate]) = POD.PartOfDay_Hour
WHERE DAT.Day_Type_Code = #C_Day_Type_Code
AND POD.PartOfDay_Code = #C_PartOfDay_Code
AND TRV.DestinationStation = #C_DestinationStation
AND TRV.SourceStationID IS NULL
-- COMMIT;
-- ORDER BY TRV.ContractID
-- LIMIT #C_Deploy;
-------------------------
FETCH NEXT
FROM Missing_Cursor
INTO #C_Day_Type_Code,
#C_PartOfDay_Code,
#C_DestinationStation,
#C_Station_From,
#C_Deploy
END
CLOSE Missing_Cursor
DEALLOCATE Missing_Cursor
END
Problem is It Takes more then 30 minutes
how can i use a dynamic update without a cursor?
any other suggestions are welcome