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Local authorities and public services

Description
Problem name and type, featuresDifficultyRelated examples
J‑1 Water conveyance / water supply management: Maximum flow problem ** j1water_graph.mos, g1rely.mos
encoding of arcs, selection with `|', record data structure
J‑2 CCTV surveillance: Maximum vertex cover problem ** j2bigbro_graph.mos, g6transmit.mos, d5cutsh.mos
encoding of network, exists
J‑3 Rigging elections: Partitioning problem **** j3elect_graph.mos, partitioning_graph.mos
algorithm for data preprocessing; file inclusion, 3 nested/recursive procedures, working with sets, if-then, forall-do, exists, finalize
J‑4 Gritting roads: Directed Chinese postman problem **** j4grit_graph.mos
algorithm for finding Eulerian path/graph for printing; encoding of arcs, dynamic array, exists, 2 functions implementing Eulerian circuit algorithm, round, getsize, break, while-do, if-then-else, list handling
J‑5 Location of income tax offices: p-median problem ****
modeling an implication, all-pairs shortest path algorithm (Floyd-Warshall); dynamic array, exists, procedure for shortest path algorithm, forall-do, if-then, selection with `|'
J‑6 Efficiency of hospitals: Data Envelopment Analysis (DEA) ***
description of DEA method; loop over problem solving with complete re-definition of problem every time, naming and declaring constraints


Further explanation of this example: 'Applications of optimization with Xpress-MP', Chapter 15: Local authorities and public services

mosel_app_10.zip[download all files]

Source Files
By clicking on a file name, a preview is opened at the bottom of this page.
j1water.mos[download]
j1water2.mos[download]
j1water_graph.mos[download]
j2bigbro.mos[download]
j2bigbro_graph.mos[download]
j3elect.mos[download]
j3elect_calc.mos[download]
j3elect_calc2.mos[download]
j3elect_graph.mos[download]
j4grit.mos[download]
j4grit2.mos[download]
j4grit_graph.mos[download]
j5tax.mos[download]
j6hospit.mos[download]

Data Files
j1water.dat[download]
j1water2.dat[download]
j2bigbro.dat[download]
j3elect.dat[download]
j3elect2.dat[download]
j4grit.dat[download]
j5tax.dat[download]
j6hospit.dat[download]




j1water.dat

! Data file for `j1water.mos'

PIPE: [(1 1) 1 3
       (2 1) 1 5
       (3 1) 1 6
       (4 1) 2 5
       (5 1) 2 6
       (6 1) 3 4
       (7 1) 3 5
       (8 1) 4 8
       (9 1) 4 9
      (10 1) 5 8
      (11 1) 5 9
      (12 1) 5 10
      (13 1) 6 7
      (14 1) 7 9
      (15 1) 7 10
      (16 1) 8 12
      (17 1) 9 12
      (18 1) 10 12
      (19 1) 11 1
      (20 1) 11 2]

CAP: [(1) 20 15 12  6 22 15 10  7 10 10 15 15 22 10 10 18 15 20 35 25]

SOURCE: 11
SINK:   12

POS: [[30 35]
[30 15]
[53 41]
[70 41]
[62 23]
[53 7]
[70 7]
[95 41]
[95 23]
[95 7]
[6 23]
[119 23]]
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