Passenger complaints on flights for 2013 include mishandled luggage, flight delays, and poor customer service.

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From lost luggage to extensive delays to rude flight attendants, there are plenty of reasons for customers to complain about an airline, and some get more complaints than others.

The Department of Transportation (DOT) assembled a list of domestic airlines with the most and fewest customer complains in 2013. The airline with the fewest complaints this past year was Southwest Airlines, followed by Alaska and Delta. The ones that had the most were American Airlines, United, and Frontier.

Two criteria by which customers rated an airline were on-time arrivals and departures. Hawaiian Airlines did well in that category, with 93.3 percent of flights making it out on time, followed by Alaska Airlines at 87.2 percent and Delta Airlines at 84.5percent. The worst were American Eagle Airlines, Expressjet, and Frontier at 73.1 percent, according tot the DOT.

Southwest had the fourth-worst ranking for arrival time and a lot of that had to do with connections and tight turnarounds, per the DOT report.

Mishandled luggage was another area where customers had reason to complain. Last year just over three bags were mishandled for every 1,000 customers, according to the DOT.

Animals were also among passengers who didn't have the best travel experience. The DOT stated the number of pet deaths and injuries during flights went down in 2013, but the number of lost pets went up.

Following are the airlines ranked from 15 (worst) to one (best) according to the DOT report:

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