Benchmarks K90


These benchmarks were derived from the railway network of Slovak Republic. The network consists of 457 nodes, where the customers are located. The shortest path matrix is stored in the file dij.txt.  The benchmarks are stored in the files listed in the following table. 

 

K90

Size

 1

 2

 3

 4

 5

 6

 7

 8

 9

45x457

Val021

Val022

Val023

Val024

Val025

Val026

Val027

Val028

Val029

91x457

Val041

Val042

Val043

Val044

Val045

Val046

Val047

Val048

Val049

137x457

Val061

Val062

Val063

Val064

Val065

Val066

Val067

Val068

Val069

182x457

Val081

Val082

Val083

Val084

Val085

Val086

Val087

Val088

Val089

229x457

Val101

Val102

Val103

Val104

Val105

Val106

Val107

Val108

Val109

274x457

Val121

Val122

Val123

Val124

Val125

Val126

Val127

Val128

Val129

319x457

Val141

Val142

Val143

Val144

Val145

Val146

Val147

Val148

Val149

365x457

Val161

Val162

Val163

Val164

Val165

Val166

Val167

Val168

Val169

411x457

Val181

Val182

Val183

Val184

Val185

Val186

Val187

Val188

Val189

457x457

Val201

Val202

Val203

Val204

Val205

Val206

Val207

Val208

Val209

 

This data can be read from the files using procedure K90.pas.

 

File format:

 

Description

Symbol

Position (Start)

Position (End)

Number of sites

|I|

1

1

Fixed charges

fi

2

2

Indexes of sites

N

3

|I| + 2

Customer demand

bj

|I| + 3

|I| + 460

 

 

The cost for demand satisfaction  cij (20 dij + 60 ) bj, where dij is the length of the shortest path between nodes i and  j.

 

Optimal solutions of all benchmarks can be found in the file optima.xls.