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HRI.R
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HRI.R
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library(tidyverse)
library(lubridate)
input_data = read_delim("HRI_input.csv")
input_data = input_data[, c('RSE_ID','PrestDate', 'Begin', 'End','Duty_ID', 'Duty_Name' )]
no_of_RSE = length(unique(unlist(input_data$RSE_ID)))
# Parameters
# Risk_C = build up of risk
v_C_up_exp_E = 0.0487
v_C_up_exp_L = 0.0250
v_C_up_exp_N = 0.1215
# Risk_C
# time needed to travel from home to work (in hours)
v_commute_hours = 1
# if day off: time of the day to estimate recovery
v_day_off_time = "15:00"
# -----------------
mod_data = input_data
mod_data$duty_or_off = ifelse(!is.na(as.character(mod_data$Begin)), "duty" , "off")
mod_data$PrestDate = strptime( mod_data$PrestDate, format="%d/%m/%Y", tz = "EST")
mod_data$timestamp_begin = strptime( ifelse(mod_data$duty_or_off != "off",
paste(mod_data$PrestDate, mod_data$Begin) ,
# day off: = day_off_time, eg 15:00
paste(mod_data$PrestDate, v_day_off_time) ), format="%Y-%m-%d %H:%M", tz = "EST")
mod_data$timestamp_begin = as.POSIXlt( ifelse(mod_data$duty_or_off != "off",
paste(mod_data$PrestDate, mod_data$Begin) ,
# day off: = day_off_time, eg 15:00
paste(mod_data$PrestDate, v_day_off_time) ), format="%Y-%m-%d %H:%M")
mod_data$timestamp_end = as.POSIXlt(ifelse( (strptime(mod_data$End, format = "%H:%M:%OS", tz = "EST") - strptime(mod_data$Begin, format = "%H:%M:%OS", tz = "EST") > 0),
paste(mod_data$PrestDate, mod_data$End),
paste( format(mod_data$PrestDate + 1*24*60*60, format = "%Y-%m-%d") , mod_data$End)),format="%Y-%m-%d %H:%M")
mod_data$duty_length = as.numeric(difftime( mod_data$timestamp_end, mod_data$timestamp_begin , units ="hours"))
# mod_data$timestamp_end - mod_data$timestamp_begin
# determine shift type (E, L, N or day off)
mod_data$hour_begin = as.numeric(format( mod_data$timestamp_begin , format = "%H"))
mod_data$shift_type = ifelse(mod_data$duty_or_off == "off", "off" ,
ifelse(mod_data$hour_begin < 9, "E", ifelse(mod_data$hour_begin > 19, "N", "L")))
# HRI components
mod_data$Risk_C_formula = as.character(NA)
mod_data$Risk_C= as.numeric(NA)
mod_data$shift_seq = as.numeric(NA)
mod_data$last_shift_end = as.POSIXct(NA)
mod_data$gap_previous = as.POSIXct(NA)
mod_data$Risk_C_formula = as.character(NA)
# mod_data$Risk_C_first_in_seq = as.character(NA)
mod_data$Risk_C = as.numeric(NA)
mod_data$Risk_C_formula[1] = "Start"
mod_data$Risk_C = as.numeric(NA)
staff_IDs <- unique(unlist(mod_data$RSE_ID))
staff_IDs
# TODO: FOCUS ON A SINGLE RSEID
# CAN REMOVE THIS
RSE_data = subset(mod_data, RSE_ID == "50575975")
# first record
RSE_data$shift_seq[1] = 1
for(i in 2:nrow(RSE_data)) {
# determine sequence (shifts or days off):
#-------------------------------------------------------
if ( RSE_data$duty_or_off[i] != RSE_data$duty_or_off[i-1])
# first in new sequence of shifts
{
RSE_data$shift_seq[i] = 1
# if ( RSE_data$duty_or_off[i] == "off"){ RSE_data$last_shift_end[i] = RSE_data$timestamp_end[i-1]}
}
else
{
RSE_data$shift_seq[i] = RSE_data$shift_seq[i-1] + 1}
# RSE_data$last_shift_end[i] = RSE_data$last_shift_end[i-1]
# if day off: end time of last shift
if ( RSE_data$duty_or_off[i] == "off" & RSE_data$shift_seq[i] == 1){ RSE_data$last_shift_end[i] = RSE_data$timestamp_end[i-1]}
if ( RSE_data$duty_or_off[i] == "off" & RSE_data$shift_seq[i] > 1){ RSE_data$last_shift_end[i] = RSE_data$last_shift_end[i-1]}
if ( RSE_data$duty_or_off[i] == "duty" & RSE_data$shift_seq[i] == 1){ RSE_data$last_shift_end[i] = RSE_data$last_shift_end[i-1]}
if ( RSE_data$duty_or_off[i] == "duty" & RSE_data$shift_seq[i] > 1 ){ RSE_data$last_shift_end[i] = RSE_data$timestamp_end[i-1]}
#RSE_data$last_shift_end[i] = RSE_data$timestamp_end[i-1]
}
RSE_data$gap_previous = difftime(RSE_data$timestamp_begin, RSE_data$last_shift_end)
# **************************************************************
# perform HRI calculations
# **************************************************************
# first day (duty or off): always start with Risk_C = 1 at the beginning of roster data
RSE_data$Risk_C[1] = 1
# Risk_C_first_in_seq = 1
# ---------------------------
# A. DAILY: Risk_C = cumulative risk
# ---------------------------
for(i in 2:nrow(RSE_data)) {
# for debugging
# print(paste( RSE_data$RSE_ID[i], ' ', RSE_data$Duty_ID[i]))
if (RSE_data$duty_or_off[i] == "off" ) {
RSE_data$Risk_C_formula[i] = "Recovery"
if (RSE_data$Risk_C[i-1] == 1 ) {
RSE_data$Risk_C[i] = 1 # if previous days are first days in data => no RSE_data$gap_previous needed, and risk_C = 1
} else {
RSE_data$Risk_C[i] = 1 + (RSE_data$Risk_C[i-1] -1)*exp(-0.7888*(as.numeric(RSE_data$gap_previous[i] -2*v_commute_hours)/24))
}
#Risk_C_first_in_seq[i] = RSE_data$Risk_C[i]
}
if (RSE_data$duty_or_off[i] == "duty" & RSE_data$shift_seq[i] == 1 ) {
RSE_data$Risk_C_formula[i] = "Sequence (1st)"
if (RSE_data$Risk_C[i-1] == 1 ) {
RSE_data$Risk_C[i] = 1 # if previous days are first days in data => no RSE_data$gap_previous needed, and risk_C = 1
}else{
RSE_data$Risk_C[i] = 1+ (RSE_data$Risk_C[i-1] -1)*exp(-0.7888*(as.numeric(RSE_data$gap_previous[i] -2*v_commute_hours)/24))
}
# Risk_C_first_in_seq = RSE_data$Risk_C[i]
}
if (RSE_data$duty_or_off[i] == "duty" & RSE_data$shift_seq[i] > 1 ) {
if (RSE_data$gap_previous[i] >= 9) {
RSE_data$Risk_C_formula[i] = "Sequence"
if (RSE_data$shift_type[i] == "E") {C_up_exp = v_C_up_exp_E }
if (RSE_data$shift_type[i] == "L") {C_up_exp = v_C_up_exp_L }
if (RSE_data$shift_type[i] == "N") {C_up_exp = v_C_up_exp_N }
# old: RSE_data$Risk_C[i] = Risk_C_first_in_seq*exp(C_up_exp*(RSE_data$shift_seq[i]-1))
RSE_data$Risk_C[i] = RSE_data$Risk_C[i-1]*exp(C_up_exp)
} else {
RSE_data$Risk_C_formula[i] = "Quick return"
RSE_data$Risk_C[i] = RSE_data$Risk_C[i-1] + 0.06*(9- RSE_data$gap_previous[i])
}
}
}
# ---------------------------
# B. HOURLY
# ---------------------------
# duplicate rows with daily data => hourly data
# RSE_data$gap_previous[1] = 1 # tijdelijk => start = 1 "uur"
# dat_hourly = data.frame(lapply(dat, rep, RSE_data$gap_previous))
# duplicate duplicate duty_length times if duty_or_off = "duty". No duplication if day off
RSE_data_hourly <- RSE_data[rep(row.names(RSE_data), ifelse(RSE_data$duty_or_off=="duty",RSE_data$duty_length,1) ),]
# RSE_data[rep(row.names(RSE_data), ifelse(RSE_data$duty_or_off=="duty",RSE_data$duty_length,1) ),]
# **************
# add fields =
# **************
RSE_data_hourly$Date = as.POSIXct(NA)
RSE_data_hourly$HoS = as.numeric(NA)
RSE_data_hourly$ToD = as.numeric(NA)
RSE_data_hourly$Risk_HoS = as.numeric(NA)
RSE_data_hourly$Risk_ToD = as.numeric(NA)
RSE_data_hourly$HRI= as.numeric(NA)
# add Date of HRI (< > PrestDate = Duty starting date)
RSE_data_hourly$Date = RSE_data_hourly$PrestDate # correct further on for midnight
# **************************************************************
# perform hourly calculations (only within duties)
# **************************************************************
# if i = 1 (first record) and first hour in duty: set HoS = 1
if(RSE_data_hourly$duty_or_off[1] == "duty" ) {
RSE_data_hourly$HoS[1] = 1
RSE_data_hourly$ToD[1] = RSE_data_hourly$hour_begin[1]
RSE_data_hourly$Date[1] = RSE_data_hourly$PrestDate[1]
}
# next hours
for(i in 2:nrow(RSE_data_hourly)) {
# if Duty
if(RSE_data_hourly$duty_or_off[i] =="duty" ){
# ---------------------------
# B. HOURLY: Risk_HoS = Hours-on_Shift risk
# ---------------------------
# check if same shift
if ((RSE_data_hourly$Duty_ID[i] == RSE_data_hourly$Duty_ID[i-1]) & (RSE_data_hourly$timestamp_begin[i] == RSE_data_hourly$timestamp_begin[i-1]))
{
RSE_data_hourly$HoS[i] = RSE_data_hourly$HoS[i-1] + 1
}else{
RSE_data_hourly$HoS[i] = 1
}
# ---------------------------
# B. HOURLY: Risk_ToD = Time-of_Day
# ---------------------------
RSE_data_hourly$ToD[i] = RSE_data_hourly$hour_begin[i] + (RSE_data_hourly$HoS[i] -1)
# correct for night shifts
if(RSE_data_hourly$ToD[i] > 23){
RSE_data_hourly$Date[i] = format(RSE_data_hourly$Date[i] + 1*24*60*60, format = "%Y-%m-%d") # correct the Date
RSE_data_hourly$ToD[i] = RSE_data_hourly$ToD[i] -24 # correct the ToD
}
}
}
# ---------------------------
# calculate risks
# ---------------------------
RSE_data_hourly$Risk_HoS = -0.048 + 0.892*RSE_data_hourly$HoS - 0.203*(RSE_data_hourly$HoS^2) + 0.014*(RSE_data_hourly$HoS^3)
RSE_data_hourly$Risk_ToD = 1 + 0.5047*cos(2*pi*((RSE_data_hourly$ToD + 0.5)/24)) # ToD risk (at mid hour)
RSE_data_hourly$HRI = RSE_data_hourly$Risk_C*RSE_data_hourly$Risk_ToD*RSE_data_hourly$Risk_HoS
# **************************************************************
# export results
# **************************************************************
if(RSE==1){
dat_results = RSE_data_hourly
}else{
dat_results = rbind(dat_results, RSE_data_hourly)
}
} # next RSE_ID