23.12.2014 Views

Optimizing Location, Routing and Scheduling Decisions ... - gerad

Optimizing Location, Routing and Scheduling Decisions ... - gerad

Optimizing Location, Routing and Scheduling Decisions ... - gerad

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Introduction<br />

Problem Definition <strong>and</strong> Formulation<br />

Solution Methodology<br />

Conclusion<br />

References<br />

Describing Pricing Problem<br />

Pricing Problem<br />

Branching<br />

Improving Branch <strong>and</strong> Price Algorithm<br />

Computational Results<br />

Objective<br />

To find a pairing (a set of routes) associated with a variable with minimum<br />

reduced cost:<br />

Ĉ p = C p − X a ip · π i + X a ip · d i · µ j + X a ip · σ ji − ν j ∀p ∈ P j, j ∈ J (11)<br />

i∈N<br />

i∈N<br />

i∈N<br />

Subject to<br />

All of the routes must start & end at the same facility.<br />

Each customer node can be visited at most once.<br />

Total dem<strong>and</strong> of each route ≤ vehicle capacity.<br />

Total travel time of the pairing ≤ time limit.<br />

Akça, Ralphs, Berger<br />

LRS PROBLEM

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!