Simulated Annealing [math] by C. Tan

By C. Tan

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The relative gap between TWFTM and TWFTLB is computed as their ratio. The relative gap between WfCM and WfCLB is computed as the relative difference between WfCM and WfCLB, that is [(WfCMWfCLB)/WfCLB]×100. As shown in Table 7, by increasing the size of the problems, TWFT_Gap doesn’t necessarily increase. Moreover, WfC_Gap is significantly small, which means that the obtained WfCM values are very close to the optimal ones. 9 and earlier in this section, we can conclude the 44 Simulated Annealing developed MOSA is a proper and robust approach to solve the considered MWSP.

An effective hybrid optimization approach for multi-objective flexible job-shop scheduling problems. Computers & Industrial Engineering, Volume 48, Issue 2, March 2005, Pages 409-425 Nihan Çetin Demirel and M. Duran Toksarı. Optimization of the quadratic assignment problem using an ant colony algorithm. Applied Mathematics and Computation, Volume 183, Issue 1, 1 December 2006, Pages 427-435 Feng, Yuanjing; Feng, Zuren. Ant colony system hybridized with simulated annealing for flow-shop scheduling problems.

Multi-objective Simulated Annealing for a Maintenance Workforce Scheduling Problem: A case Study Pareto No. 16 43 Table 6. Best Pareto solutions associated to problem 20×4 Fig 15. , TWFTM and WfCM, corresponding to Pareto solutions, lower bounds, CPU time, and relative gaps. The relative gap between TWFTM and TWFTLB is computed as their ratio. The relative gap between WfCM and WfCLB is computed as the relative difference between WfCM and WfCLB, that is [(WfCMWfCLB)/WfCLB]×100. As shown in Table 7, by increasing the size of the problems, TWFT_Gap doesn’t necessarily increase.

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