Journal of Industrial Mathematics

Research Article

Fuzzy Multiobjective Reliability Optimization Problem of Industrial Systems Using Particle Swarm Optimization

Table 2

Solution of the reliability optimization problem of decomposition unit.
Iteration   I
IIIIIIVV
  DM's specifications
  1 1.0 0.8 0.2 0.5
 1 0.5 0.20.81.0
  Optimal solutions
   GA PSO GA PSO GA PSO GA PSO GA PSO
  0.98354732 0.98359477 0.98448525 0.98451928 0.98457160 0.98490067 0.98148708 0.98196024 0.98249201 0.98255695
  1050.08904 1049.92107 1055.41446 1055.59802 1058.82001 1060.22555 1044.65868 1044.40826 1045.18398 1044.58702
  0.60656516 0.61590008 0.79108284 0.79777686 0.80807072 0.87280766 0.20125489 0.29434040 0.39895339 0.41172939
  0.60547141 0.61186965 0.40261657 0.39562458 0.27289344 0.21935346 0.81232320 0.82186227 0.79231361 0.81505298
Components Decisions variables corresponding to main components of the system
Reboiler 0.00039899 0.00042160 0.00039268 0.00040844 0.00036386 0.00036711 0.00045088 0.00047668 0.00047393 0.00047633
3.41917961 3.20053049 3.08205706 3.21261946 2.96797346 3.53481960 3.26222415 2.97512622 3.53888380 3.00761187
Failing film
pressure 		0.00044663 0.00042886 0.00037677 0.00035879 0.00035364 0.00034103 0.00044963 0.00042684 0.00043888 0.00045194
2.93743121 2.34624642 2.25336207 2.55005113 2.77588849 2.93459081 2.55655906 2.56886790 2.45037358 2.85729986
High-pressure
absorber 		0.00016881 0.00016359 0.00015166 0.00014887 0.00013784 0.00013539 0.00017353 0.00016944 0.00015574 0.00017686
2.86356110 3.69610183 3.15673746 3.28073616 3.78864854 2.84273867 3.53782239 3.61115141 3.03502479 3.70232160
Low-pressure
absorber 		0.00041113 0.00040656 0.00041406 0.00040844 0.00045041 0.00041815 0.00052870 0.00048036 0.00041970 0.00040953
4.67082848 5.40042764 4.53173006 5.13121490 4.47381088 4.73186495 4.91856082 4.34826476 5.36085440 5.42475860
Gas separator 0.00022738 0.00022736 0.00022342 0.00023100 0.00024459 0.00025474 0.00026109 0.00026287 0.00027281 0.00023944
5.03045165 4.75765199 5.59215645 4.43617242 5.29292018 5.26627347 5.17559317 5.08274082 5.26603842 4.63483241
Low-pressure
heat exchanger 		0.00078750 0.00079645 0.00079211 0.00079277 0.00075087 0.00073172 0.00072920 0.00078562 0.00079247 0.00079769
4.73045809 5.24059032 4.78957351 4.76132947 4.45209374 3.99216974 4.13200468 4.38574566 5.07896810 4.94539576
High-pressure
heat exchanger 		0.00070098 0.00071119 0.00061423 0.00055696 0.00057015 0.00065517 0.00062168 0.00055713 0.00058711 0.00065981
6.16937271 5.62696440 5.56932906 5.76412417 6.12199584 6.48829057 6.49184949 5.34442022 6.18770089 5.68156701