They should use a stun gun/bomb/cannon to shoot/bomb those
tigers first before going in. 
That's what happens when people has too much pride not to
question the job nature. Alot of accidents can be avoided if people
dumped their pride/ego aside and start opening their mouth to ASK
and QUESTION.
Mouth is not meant to be used for breathing/eating/drinking
only, but it is there to help you to substain your
life. 
I think the method proposed above reeks of naivety and
ignorance.
although a human life was involved in this case, i need to
re-emphasize that it was the man's fault into climbing into the
cage. he chose a reckless path, the consequences he face depends on
his wit and adaptability. If he truly wanted to end his life, he
would not have protected himself with a bucket. If he was deranged,
as stated in the press, then he could have done at least something
when he was in the path of danger. the average joe when faced with
two tigers 5 m away will immediately sprint for the nearest exit.
although the tigers will eventually catch up and corner the victim,
the person will still hop and jump about the terrain and play "cat
and mouse". merely crouching and using a plastic bucket to protect
oneself is a sure doomed method. the man chose this way hence it
would be hard to take action against the tigers for they are
afterall, well-groomed but innately-animalistic animals.
also, to shoot the tigers would be to eliminate these rare
breed of animals which i think are malayan tigers (correct me if
i'm wrong) . it will be an emotional loss and financial loss for
the zoo which will find it hard to replace such tigers.
although whose fault this incident is is clearly evident, i
still empathise with the family of this man and want to extend my
condolences. the moral of the story is always spend time with your
family members, understanding their needs, worries and emotional
states, this way we can prevent such things from happening.