“…In the remaining part of this section, a heuristic algorithm based on the simulating annealing (SA) algorithm is proposed. SA is known to be one of the most successful algorithms amongst the other applied meta-heuristic ones and its acceptable performance is demonstrated by experience in the conducted researches relevant to scheduling problems, for example (Krishna, 1995), (Steinhofel, 1999), (Suresh, & Mohanasundaram, 2006), (Ponnambalam, 1999), (Bozejko, 2009 In this part, s is a schedule, s best is the best available solution, f(s) is the objective function value for schedule s, k is the counter, K is the maximum iteration number which specifies the termination criteria, T k is the temperature in k-th iteration, α is the cooling factor which belongs to the interval (0, 1), and…”