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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 />

Effect of ESPPRC - CS(n)<br />

Pricing Problem<br />

Branching<br />

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

Computational Results<br />

Data With out SS With SS Data With out SS With SS<br />

UB-S1 Gap-S2 UB-S1 Gap-S2 UB-S1 Gap-S2 UB-S1 Gap-S2<br />

a40-v1t1 7131 0.01% 7131 0 e40-v1t1 7167 0 7167 0<br />

a40-v1t2 6986 0.14% 7170 0.32% e40-v1t2 6950 0.07% 6950 0.05%<br />

a40-v2t1 7017 0 6866 0 e40-v2t1 6857 0 6849 0<br />

a40-v2t2 6821 1.99% 6821 1.26% e40-v2t2 6846 3.19% 6846 0<br />

b40-v1t1 7252 4.14% 7183 3.22% f40-v1t1 7167 0 7167 0<br />

b40-v1t2 6934 0 6934 0 f40-v1t2 7001 0 7001 0<br />

b40-v2t1 6823 0 6823 0 f40-v2t1 6925 0.01% 6881 0<br />

b40-v2t2 6634 0 6633 0 f40-v2t2 6851 2.55% 6845 2.34%<br />

c40-v1t1 8780 0 8780 0 g40-v1t1 7343 0 7343 0<br />

c40-v1t2 8756 0 8753 0 g40-v1t2 7117 0 7124 0<br />

c40-v2t1 8663 0 8663 0 g40-v2t1 7000 0 7005 0<br />

c40-v2t2 8456 0 8438 0 g40-v2t2 6944 0 6944 0<br />

d40-v1t1 7793 0.23% 7740 0 h40-v1t1 7012 0.01% 7013 0<br />

d40-v1t2 7544 6.32% 7236 2.95% h40-v1t2 6972 1.22% 6972 0.35%<br />

d40-v2t1 7140 2.29% 7132 2.79% h40-v2t1 6869 3.01% 6857 0.04%<br />

d40-v2t2 7430 8.52% 6947 4.18% h40-v2t2 6667 1.78% 6658 1.64%<br />

Step 1 time → 3.4, step 2 time → 1.57, <strong>and</strong> total time → 1.61.<br />

Akça, Ralphs, Berger<br />

LRS PROBLEM

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