A practical scheduling problem for multipurpose pipeless processes where sequence dependent setup time should be considered is addressed. Setup times for production at units are dependent on the immediately previous production in multiple production processes as well as on the unit. A two-coordinate is presented for efficient continuous time representation where each product has deterministic processing stage blocks with duration for unit allocation and each processing unit has corresponding time slot. Instead on introducing transition 0-1 variables of which the number becomes enormous in multipurpose cases, we enforce the relation between the productions at units with logic-based constraints. While the existing models are restricted to multiproduct or sequential multipurpose processes in their applications, the proposed model is effectively applied to general multipurpose processes. The performances of the model and the solution method are illustrated through examples.