Make bash scripts wait in line until other instances have finished their job

#!/bin/bash
# It seems to work, but who knows. May have some terrible flaw and ruin your life. Your entire life.
#
# "${0##*/}" is the script name ("$0") stripped of any parameters ("##*/"), by the way.
#

if ls /dev/shm/${0##*/}-ticket* 2> /dev/null ; then
n=0
	while [[ -e "/dev/shm/${0##*/}-ticket$n" ]]; do
		n=$(( $n + 1 ))
done
touch /dev/shm/${0##*/}-ticket$n
echo there are $n scripts in line...

lastinst=$(( $n - 1))

while true ; do

sleep $((2*$n))

[[ ! -f "/dev/shm/${0##*/}-ticket$lastinst" ]] && break
done

else
echo no scripts in line
touch /dev/shm/${0##*/}-ticket0
n=0

fi

# i=$((n+1))

# replace the following with an actual script that matters
#
# BUT DON'T FORGET TO ADD THE "RM" LINE AT THE END
#
# I wonder if it can be used as a script to put any other script in line like a command,
# like "ticket.sh anotherscript/program" if in the end it runs $@ or $*. Got to think more
# about that and test it someday.
#
# May need some sort of trap for orphaned tickets/lock files
#

### ACTUAL SCRIPT COMES HERE ### 

time=$(seq 1 5 | shuf -n 1)
sleep $time
echo instance $n done, slept $time

####### END OF ACTUAL SCRIPT ########

### GET RID OF THE LOCK FILE AFTER THE SCRIPT IS DONE ###
# otherwise the next instances won't ever really run!

rm /dev/shm/${0##*/}-ticket$n