The remainder of this paper is organized as follows: Section 2 defines the mixed-PDATSPP; Section 3 describes the network-transformation procedures for constructing the network used to define the mixed-PDATSPP; Section 4 discusses the related problems in the literature; Section 5 details the mathematical model of the mixed-PDATSPP; Section 6 explains how we develop the solution algorithm to the mixed-PDATSPP; Section 7 contains numerical results to evaluate the algorithm's performance and illustrate its characteristics; and, finally, Section 8 concludes the paper.