Facilities Location: Models & Methods |
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a₁ a₁₁ a₁₂ a₂ algorithm allocation analysis approach approximation assignment Chapter commodity consider constraints convex function convex hull coordinate CPLP criterion defined demand points demand zone denote derivatives distance function distribution dual problem equation Euclidean distances Example Exercise existing facility locations facility location problem Facility Pair feasible Figure formulation Geoffrion heuristic inequality interfacility intersection iteration layout linear programming location models location problem location-allocation problem lower bound Management Science mathematical note matrix method minimax minimize W(X minimum multi-facility node nonlinear programming objective function Operations Research optimal location optimal solution optimum parameters primal problem DD problem SC problem SPLP procedure Property quadratic assignment problem rectangular distances region relocation SECTION single-facility solution to problem solve problem Step travel distance triangle inequality variables vector w₁ Weiszfeld Wesolowsky WH(X WM(X WMH(X x₁ x₂ zero Σ Σ