Fuzzy Programming for Multiobjective Fuzzy Job Shop Scheduling Problems through Genetic Algorithms

Solving Fuzzy Job-Shop Scheduling Problems with a Multiobjective Optimizer

In real-world manufacturing environments, it is common to face a job-shop scheduling problem (JSP) with uncertainty. Among different sources of uncertainty, processing times uncertainty is the most common. In this paper, we investigate the use of a multiobjective genetic algorithm to address JSPs with uncertain durations. Uncertain durations in a JSP are expressed by means of triangular fuzzy n...

Genetic Algorithms for Job-Shop Scheduling Problems

The n×m minimum-makespan general job-shop scheduling problem, hereafter referred to as the JSSP, can be described by a set of n jobs {Ji}1≤j≤n which is to be processed on a set of m machines {Mr}1≤r≤m. Each job has a technological sequence of machines to be processed. The processing of job Jj on machine Mr is called the operation Ojr. Operation Ojr requires the exclusive use of Mr for an uninte...

Interactive Fuzzy Programming for Multiobjective Two-level Nonlinear Integer Programming Problems through Genetic Algorithms

In the present paper, we consider multiobjective two-level nonlinear integer programming problems (MOTLNLIPPs) in which the decision maker (DM) at each level controls his own integer decision variables to optimize multiple objective functions. Various approaches for multi-level programming problems could exist according to situations which the DMs are placed in. In this paper, it is assumed tha...

Fuzzy Primal Simplex Algorithms for Solving Fuzzy Linear Programming Problems

An interactive fuzzy satisficing method for multiobjective integer programming problems through genetic algorithms