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3. Designing the Logistics Network 3.4 Public Sector. example. example edge [1,4] has the smallest lower boundary r (q hk ) = 6 local center of this edge: at 6.5 units from vertex 1 on edge [1,4] r(q 14 ) = 6.5 (smaller than existing upper boundary for r(q z )

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  1. 3. Designing the Logistics Network3.4 Public Sector example • example • edge [1,4] has the smallest lower boundary r(qhk) = 6 • local center of this edge: at 6.5 units from vertex 1 on edge [1,4] • r(q14) = 6.5 (smaller than existing upper boundary for r(qz) • → replace upper boundary by new one: • remove edge [1,4] from PE • still edges left in PE whose LB on local radius < 6.5 ([1,5] and [3,4]) • repeat step 4 Logistical Management - Dr. Christian Almeder

  2. 3. Designing the Logistics Network3.4 Public Sector example • example • edge [1,5] has smallest lower boundary r(qhk) = 6 • local center of this edge: at 2 units from vertex 1 on edge [1,5] • r(q15) = 9 (NOT smaller than existing upper boundary for r(qz)) • no update for UB of absolute radius (remains at 6.5) • remove edge [1,5] from PE • still edge left in PE whose LB on local radius < 6.5 ([3,4]) • repeat step 4 Logistical Management - Dr. Christian Almeder

  3. 3. Designing the Logistics Network3.4 Public Sector example • example • edge [3,4] has smallest lower boundary r(qhk) = 6 • local center of this edge: in vertex 4 • r(q34) = 7 (NOT smaller than existing upper boundary for r(qz)) • no update for UB for absolute radius (remains at 6.5) • remove edge [3,4] from PE • no more edge in PE • final solution • absolute center: at 6.5 units from vertex 1 on edge [1,4] • absolute radius: 6.5 Logistical Management - Dr. Christian Almeder

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