If not an internal performance/pentetration test from your IT Dept, depending on the page (i.e. content on that page) it could also be a bot trying to scrape content (this is common on media sites as there are a lot of bots trying to scrape content to post to things like aggregators).
Bots wouldn't necessarily allow cookies to be written which is why each time it hits the page it's treated like a new visitor... Or it could be a more malicious type bot trying to find vulnerabilities to exploit them or trying to create a DDOS attack.
If it's a malicious behaviour, you may need to check with your IT team to block traffic to the site based on behaviour such as coming from the same IP address and making more than X requests over a specified period of time (this should be easy to create if your site is using a cloud service like Cloudfront or CloudFlare, etc.