In today's business plan, Network Rail said it expected to achieve a trains-on-time figure of 92.5% "by the end" of the period 2014-2019.
NR also warned that even with the extra trains and seats this would "not be enough" on the busy West Coast Main Line where the added capacity of the London to Birmingham HS2 high-speed rail line project was, it said, "essential".
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A colder start to the day with outbreaks of rain expected across Wales and southern England.
A further 85 buses are expected to arrive on Tuesday and Wednesday, with officials saying the entire operation will last at least a week.
The reality star had filed a defamation lawsuit against celebrity gossip site MediaTakeOut.com.