Timer based restart script while checking a process actually started

Renew-app-lease-check-pid.sh

#!/bin/bash -e
# In general using this is a hack round another problem 
#Sometimes it can be a practical answer to be productive rather than going in circles

while [ true ]; do
	RENEW_TIME=60000
	CHECK_TIME=60
	
	# get my Lease for the 
	LEASE=`echo curl http://lease`
	# get time of length of the lease
	RENEW_TIME=60000
	
	# knock of random 10% ( note < 100 seconds will be 100seconds)
	RENEW_TIME=$(($RENEW_TIME - ($RENEW_TIME / 100 * ($RANDOM % 10 ))))
	
	if [ "'${APP_PID}'" != "''" ]; then
		if [ "`ps -p ${APP_PID} | grep -v PID`" != "" ]; then
			echo "Forcing death"
			kill -9 $APP_PID
		fi
	fi
	
	run-app $LEASE &
	APP_PID=$!
	
	# just make sure it is up in a expontional way
	CHECK_COUNT=1
	while [ ${CHECK_TIME} -gt 0 ]; do
		# is it running
		sleep $CHECK_COUNT
		# -e means will will exit here
		kill -0 ${APP_PID}
		CHECK_TIME=$(($CHECK_TIME - $CHECK_COUNT))
		CHECK_COUNT=$(($CHECK_COUNT + $CHECK_COUNT))
	done
	sleep ${RENEW_TIME}
	kill $APP_PID
done