Bollywood is widely known as the world's most prolific movie industry, with about 1,000 films produced every year. But its audience is also one of the most far-ranging: Indian films are watched in more than a hundred countries, their fan base drawn from the 25 million Indians working abroad as well as moviegoers from Southeast Asia to Africa for whom Shah Rukh Khan is as big a star as Brad Pitt.
But it can take weeks before a Bollywood hit reaches foreign markets, if it's shown at all, and that gap between demand and...