Simulation Optimization for the Multihoist Scheduling Problem

Table 4

Literature review of the MHSP.

Research	Process(es)	Objective(s)	Variable(s)	Approach
MHEDA	General treatment processes	Makespan, and the workload of the most loaded tank	Sequence	Simulation optimization approach, through an estimation of distribution algorithm
Zeng et al. [44]	Paper mill factory	Makespan, electricity consumption, and material wastage	Sequence	Hybrid-mathematical model with genetic algorithm
Jiang et al. [43]	Steelmaking-continuous casting	Waiting time, cast-break, and over-waiting	Soft-form schedule	Hybrid-preference-inspired chemical reaction optimization algorithm with knowledge-based local search
Hahn and Brandenburg [42]	Chemical industry	Cost minimization	Carbon emission and overtime	Hybrid-linear programming with aggregate stochastic queuing network
Xie et al. [41]	Iron and steel processes	Makespan	Unloading, no delays and sequence	Hybrid-mixed-integer linear programming with heuristic
Lei et al. [33]	Robotic manufacturing system	Throughput rate	Sequence	Metaheuristics–Quantum algorithm
Mori and Mahalec [40]	Continuous casting of steelmaking	Higher productivity	Sequence	Hybrid-Relaxed mixed-integer linear model with simulation annealing and a shuffled frog-leaping algorithm
Qu et al. [22]	Electrochemical processes	Higher productivity	Spatial locations and optimal design	Mathematical programming–mixed-integer linear programming
Basán and Méndez [39]	Aerospace and electroplating	Higher productivity	Time-window, zero-wait storage, and sequence-dependent transferring time	Hybrid-mixed-integer linear programming with heuristics and simulation
El Amraoui and Elhafsi [38]	Electrochemical processes	Higher productivity and better product quality	Sequence	Hybrid-mixed-integer programming model with heuristic
Yan et al. [37]	Electrochemical processes	Cycle time and material handling cost	Working process level	Hybrid-Bi-objective linear programming with hybrid discrete differential algorithm
Wari and Zhu [21]	Ice cream process	Performance	Multi week production scheduling	Mathematical programming–mixed-integer linear programming
Su et al. [20]	Ethylene cracking process	Performance	Periodic clean up, feed stocks, and energy constraints	Mathematical programming–mixed-integer nonlinear programming-based continuous-time representation
Suominen et al. [19]	Cooper production	Production maximization	Sequence	Mathematical programming–nonlinear optimization
Feng et al. [18]	Electrochemical processes	Makespan	Online arrives	Mathematical programming–mixed-integer linear programming
Beerbühl et al. [26]	Electrochemical processes	Costs	Nonlinear characteristics, energy storage, and capacity planning	Heuristic