Q: Can you suggest some fast publication journals in the field of business and management?
It would be very difficult to suggest any journal without first reviewing the manuscript. I am unsure what is the indexation and impact factor of the journals you are looking for. Business and management journals are indexed on Social Sciences Citation Index (SSCI) of the Clarivate Analytics (http://mjl.clarivate.com/) which includes authentic and reputed journals published by well-known publishers. The SSCI indexed journals have impact factors.
There are journals in your field of study even on Emerging Sources Citation Index of Clarivate Analytics, which are also equally reputed, but they do not have impact factors. I would suggest that you please review these lists and narrow down on the journals that suit your manuscript the best. The timelines for peer review, first decision, and final decision are sometimes published on the journal websites, but many a time the authors would need to request this information from the editorial office of the journal.