MIP–based heuristic for the unrelated parallel machine scheduling problem with sequence and machine-dependent setup times

A Hybrid Algorithm for Solving the Unrelated Parallel Machine Scheduling Problem with Sequence Dependent Setup Times

This work addresses the unrelated parallel machine scheduling problem where setup times are sequence-dependent and machine-dependent. The maximum completion time of the schedule, known as makespan, is considered as an objective to minimize. Few studies has been done about this problem, which is a motivation to the development of this work. Other motivations are the fact that it is NP-Hard and i...

Multi-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...

Non-Identical Parallel Machine Scheduling with Sequence and Machine Dependent Setup Times Using Meta-Heuristic Algorithms

This paper considers a non-identical parallel machine scheduling problem with sequence and machine dependent setup times. The objective of this problem is to determine the allocation of jobs and the scheduling of each machine to minimize makespan. A mathematical model for optimal solution is derived. An in-depth analysis of the model shows that it is very complicated and difficult to obtain opt...

Pareto-based Multi-criteria Evolutionary Algorithm for Parallel Machines Scheduling Problem with Sequence-dependent Setup Times

This paper addresses an unrelated multi-machine scheduling problem with sequence-dependent setup time, release date and processing set restriction to minimize the sum of weighted earliness/tardiness penalties and the sum of completion times, which is known to be NP-hard. A Mixed Integer Programming (MIP) model is proposed to formulate the considered multi-criteria problem. Also, to solve the mo...

Comparing Meta-Heuristic Approaches for Parallel Machine Scheduling Problems with Sequence Dependent Setup Times