Maximum Multicommodity Flow with Intermediate Storage

<div>Modified new network <svg height="12.5482pt" id="M244" style="vertical-align:-0.2455997pt" version="1.1" viewbox="-0.0498162 -12.3026 16.5525 12.5482" width="16.5525pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,.809,-3.275)"><path d="M846 629L831 655C777 615 719 595 640 595C573 595 518 604 436 619C338 640 291 647 226 647C158 647 71 626 0 558L15 532C79 570 138 592 218 592C292 592 340 582 410 569C495 552 560 540 629 540C701 540 788 559 846 629Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M569 131C584 203 591 291 596 391C603 524 609 615 622 658L609 669C545 642 461 523 357 312C267 129 194 14 119 14C104 14 91 21 88 36H91C96 33 101 32 107 32C134 32 149 54 149 77C149 104 128 128 97 128C65 128 38 101 38 62C38 19 71 -15 118 -15C207 -15 274 84 391 315C446 423 501 518 534 563L535 562C518 501 511 401 508 297C504 160 495 63 476 -13H496C588 65 656 224 712 363C783 536 828 621 863 640H866C866 608 894 595 913 595C937 595 956 613 956 641C956 670 935 687 904 687C875 687 853 675 830 650C782 596 735 496 692 394C649 290 605 184 570 131H569Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.61,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g></svg> with dummy ports and temporary sinks.</div>

Mathematical Problems in Engineering

Maximum Multicommodity Flow with Intermediate Storage

Figure 2