Bi-objective scheduling on parallel machines with uncertain processing time
نویسندگان
چکیده
In this paper we consider bi-criteria scheduling problem on parallel machines which optimizes the number of tardy jobs with the condition of primary criterion of Tmax remains optimized. The processing times of jobs are uncertain that is not known exactly and only estimated values are given. This leads to the use of fuzzy numbers for representing these imprecise values. Here, we use triangular fuzzy numbers to describe the processing times. The membership functions of fuzzy processing times denote the grades of satisfaction with respect to completion times with jobs. The objective of the paper is to develop an algorithm for the bi-objective problem which optimizes the number of tardy jobs without violating the value of Tmax. A numerical example demonstrates the computational process of the projected algorithm.
منابع مشابه
A bi-objective model for a scheduling problem of unrelated parallel batch processing machines with fuzzy parameters by two fuzzy multi-objective meta-heuristics
This paper considers a bi-objective model for a scheduling problem of unrelated parallel batch processing machines to minimize the makespan and maximum tardiness, simultaneously. Each job has a specific size and the data corresponding to its ready time, due date and processing time-dependent machine are uncertain and determined by trapezoidal fuzzy numbers. Each machine has a specific capacity,...
متن کاملSolving the Problem of Scheduling Unrelated Parallel Machines with Limited Access to Jobs
Nowadays, by successful application of on time production concept in other concepts like production management and storage, the need to complete the processing of jobs in their delivery time is considered a key issue in industrial environments. Unrelated parallel machines scheduling is a general mood of classic problems of parallel machines. In some of the applications of unrelated parallel mac...
متن کاملSolving the Problem of Scheduling Unrelated Parallel Machines with Limited Access to Jobs
Nowadays, by successful application of on time production concept in other concepts like production management and storage, the need to complete the processing of jobs in their delivery time is considered a key issue in industrial environments. Unrelated parallel machines scheduling is a general mood of classic problems of parallel machines. In some of the applications of unrelated parallel mac...
متن کاملBi-criteria Scheduling on Parallel Machines Under Fuzzy Processing Time
Job scheduling is concerned with the optimal allocation of scare resources with objective of optimising one or several criteria. Job scheduling has been a fruitful area of research for many decades in which scheduling resolve both allocation of machines and order of processing. If the jobs are scheduled properly, not only the time is saved but also efficiency of system is increased. The paralle...
متن کاملTwo meta-heuristic algorithms for parallel machines scheduling problem with past-sequence-dependent setup times and effects of deterioration and learning
This paper considers identical parallel machines scheduling problem with past-sequence-dependent setup times, deteriorating jobs and learning effects, in which the actual processing time of a job on each machine is given as a function of the processing times of the jobs already processed and its scheduled position on the corresponding machine. In addition, the setup time of a job on each machin...
متن کاملMulti-Objective Unrelated Parallel Machines Scheduling with Sequence-Dependent Setup Times and Precedence Constraints
This paper presents a novel, multi-objective model of a parallel machines scheduling problem that minimizes the number of tardy jobs and total completion time of all jobs. In this model, machines are considered as unrelated parallel units with different speeds. In addition, there is some precedence, relating the jobs with non-identical due dates and their ready times. Sequence-dependent setup t...
متن کامل