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