A survey of exact algorithms for the simple assembly line balancing problem
Management Science
The theory of ratio scale estimation: Saaty's analytic hierarchy process
Management Science
Optimally balancing large assembly lines with `FABLE'
Management Science
Remarks on the analytic hierarchy process
Management Science
Eureka: a hybrid system for assembly line balancing
Management Science
Fuzzy logic, neural networks, and soft computing
Communications of the ACM
Evaluating weapon system by Analytical Hierarchy Process based on fuzzy scales
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Management Science
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
A parametric representation of fuzzy numbers and their arithmetic operators
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
A GP-AHP Method for solving group decision-making fuzzy AHP Problems
Computers and Operations Research
Application of modified fuzzy ahp method to analyze bolting sequence of structural joints
Application of modified fuzzy ahp method to analyze bolting sequence of structural joints
Project Selection by Constrained Fuzzy AHP
Fuzzy Optimization and Decision Making
A new integrated design concept evaluation approach based on vague sets
Expert Systems with Applications: An International Journal
An intelligent approach to machine tool selection through fuzzy analytic network process
Journal of Intelligent Manufacturing
Expert Systems with Applications: An International Journal
Computers and Industrial Engineering
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In mass production, assembly-line balancing (ALB) problem has been a critical and repetitive issue for companies for long time. On the other hand, equipment selection for stations has also been another important problem at the design stage of an assembly-line system. In this paper, both problems are handled simultaneously. Therefore first, goal programming (GP) method, a well-suited technique is used to develop a preemptive formulation to joint both of the problems, when the nature of the problem consists of several conflicting objectives, and some mathematical constraints on solutions. Second, an AHP method based on fuzzy scales which is incorporated with the GP is also used due to the fact that it takes both qualitative and quantitative judgments of decision-maker(s) into consideration to rank the equipment alternatives for stations by weight. The fuzzy AHP as one of the most commonly used multiple-criteria decision making (MCDM) methods has been effectively used for more than decade in both academic research and practice, and takes the vagueness and uncertainty on judgments of decision-maker(s) into consideration due to the fact that the crisp pairwise comparison in the conventional AHP seems to insufficient and imprecise to capture the right judgments of decision-maker(s). In short, in this study, a combined fuzzy AHP-GP approach is proposed to evaluating assembly-line design alternatives with equipment selection. An integer GP formulation is constructed, which also uses the fuzzy AHP scores of equipment alternatives, and employs them as one of the goals. Then, the mathematical model is solved to find out the ultimate alternative in terms of the minimized equipment cost and the maximized preference measures of decision-maker(s). The proposed approach is also illustrated on a sample case study.