The unrelated parallel machine scheduling problem (UPMSP) is a typical production with certain symmetries on machines. Additional resources and preventive maintenance (PM) extensively exist machines; however, UPMSP additional PM has been scarcely investigated. Adaptive competition also seldom implemented in the artificial bee colony algorithm for scheduling. In this study, investigated, which A...

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...

This paper discusses an efficient heuristic to minimize the makespan of scheduling n independent jobs on m unrelated parallel machines. The problem of scheduling the jobs on the unrelated parallel machines is combinatorial in nature. Hence, the heuristic approach is inevitable for quicker solution. In this paper, a simple and efficient heuristic is designed to minimize the makespan of schedulin...

We consider the problem of scheduling a number of jobs on a number of unrelated parallel machines in order to minimize the makespan. We develop three heuristic approaches, i.e., a genetic algorithm, a tabu search algorithm and a hybridization of these heuristics with a truncated branch-and-bound procedure. This hybridization is made in order to accelerate the search process to near-optimal solu...

This paper explores the problems of unrelated parallel-machine scheduling with aging effects and deteriorating maintenance activities. The jobs are non-resumable. Each machine has at most one maintenance activity which is allowed throughout the planning horizon. Assume that once the maintenance activity is completed, the functions of machine and the properties of jobs e.g. the temperature (hard...

The problem addressed in this paper is scheduling jobs on unrelated parallel machines with sequence-dependent setup times to minimize the maximum completion time (i.e., the makespan). This problem is NP-hard even without including setup times. Adding sequence-dependent setup times adds another dimension of complexity to the problem and obtaining optimal solutions becomes very difficult especial...

The paper presents a priority rule-based heuristic serial schedule (SS) algorithm for a deterministic scheduling problem where multiple jobs with arbitrary precedence constraints are processed on multiple unrelated parallel machines. The objective is to minimise makespan. The priority rule employs the arithmetic mean and deviation of the processing times to determine the prior job-machine pair....

Abstract: The plethora of research on NP-hard parallel machine scheduling problems is focused on heuristics due to the theoretically and practically challenging nature of these problems. Only a handful of exact approaches are available in the literature, and most of these suffer from scalability issues. Moreover, the majority of the papers on the subject are restricted to the identical parallel...

This article deals with a quite complex machine scheduling problem comprising the following features: 1. unrelated parallel machines; 2. jobs have different due dates; 3. job splitting is allowed; 4. setup times are sequence dependent; 5. the objective function is to minimize the weighted sum of early, tardy and setup costs. The problem is formulated as a mixed-integer programming model which i...