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Table 5 Optimal vs. relaxed solution values and execution times Number of requests Network load Optimal solution Relaxed solution     Average tardiness value Execution time Average tardiness value Execution time 30 0.86 0 3 s 5.73 8.14 s 50 0.86 0 7 s 10.12 9 s 200 0.86 0 2 min 24 s 10.785 1 min 2 s.

At the first stage, an iterative algorithm is designed to obtain a relaxed solution.

One of the most well-known approaches is the embedding based method which addresses this challenge by solving a relaxed optimization problem with only continuous inputs and then projecting the relaxed solution back to obtain a solution to the original problem.

The relaxed solution achieved results matching with parameters preset in the literature for average connection tardiness.

To compare computational time of the GA and the relaxed solution, 100 independent trials are conducted.

The effect of increasing the problem size on the value of average tardiness when using the relaxed solution is evident.

The presence of a relaxation that can be solved with modest computational time is an important characteristic of the problems under consideration because our procedure is designed to exploit relaxed solutions.

Activating and relaxing solution contained either 3 mM (Ca K2EGTA (activating solution) or 3 mM K2EGTA (relaxing solution), 10 mM imidazole, 10 mM Na2MgATP, 3 mM MgCl2, 32.7 mM sodium creatine phosphate, 2 mM DTT, pH 7.0 10°CC), μ = 178 mM.

Fiber bundles were alternately immersed in relaxing solution [( Ca2+] less than 10 -9) M) and contracting solutions (various [Ca2+] from 10 -5.6 10 -5.6-3.8) M), which were satorated with 10 -3.8 10 -3.8r with three concentrations of halothane-N2 Mixture.

Samples were fixed with 4% paraformaldehyde (PFA) in relaxing solution.

Activating solution (pCa 4.33) contained all the ingredients of relaxing solution (pCa 10).