The Alpharetta logistics company RedPrairie is merging with an Arizona business in a $1.9 billion deal.

Privately held RedPrairie, which has made four acquisitions since January 2011, is offering $45 a share for the stock of JDA Software. JDA’s president and CEO, Hamish Brewer, will lead the combined company. RedPrairie’s CEO, Michael Mayoras, will remain on the board.

A spokeswoman said it was too soon to say where the combined company would be headquartered or what it would be called. Together, the software companies would have combined revenues of more than $1 billion.

In a joint statement, RedPrairie and JDA said the new company would offer solutions for managing global supply chains. JDA and RedPrairie do not compete, the spokeswoman said. JDA works with supply-chain planning, merchandising and pricing, while RedPrairie’s expertise is in warehousing, workforce management, store operations and e-commerce.

“This is a strong combination of two leading companies with highly complementary product suites,” Brewer said in a statement. Mayoras said in a statement that the combined company would be “perfectly suited to meet the evolving demands” of the mobile customer.

The transaction is expected to close by the end of the year.

In August, RedPrairie announced it had acquired Vortex Connect, a Toronto-based mobile workforce management business. In July, it announced it had acquired Planora, an optimization research organization.

In February 2011, it announced it had finalized a deal to acquire Escalate Retail, a provider of all-channel commerce to specialty retailers, direct marketers and big-ticket retailers. In January 2011, it announced it had finalized the acquisition of SofTechnics, a provider of integrated retail enterprise solutions.

Financial details of those acquisitions were not provided by the company in its news releases.