The unrelated parallel machine scheduling problem, in its most general form, is applicable to many manufacturing and service environments. This problem requires the scheduling of a group of independent jobs on unrelated parallel machines as well as the sequencing of the jobs on each individual machine. In this paper, we propose a genetic algorithm with adaptive crossover selection to schedule ...

Appropriate scheduling and sequencing of tasks on machines is one of the basic and significant problems that a shop or a factory manager encounters; this is why in recent decades extensive studies have been done on scheduling issues. One type of scheduling problems is just-in-time (JIT) scheduling and in this area, motivated by JIT manufacturing, this study investigates a mathematical model for...

We address the problem of minimizing makespan on identical parallel machines. We propose new lower bounding strategies and heuristics for this fundamental scheduling problem. The lower bounds are based on the so-called lifting procedure. In addition, two optimization-based heuristics are proposed. These heuristics require iteratively solving a subset-sum problem. We present the results of compu...

In this paper we focus on parallel-machine scheduling g problem. The objective is to minimize the makespan. This problem is an NP-hard problem. We propose three heuristics and a branch-and-bound exact algorithm. An extensive experimental study has been conducted to proof the efficiency of the proposed procedures. Finally, we use the exact algorithms to applicate results for scheduling algorithm...

We study the unrelated parallel machine scheduling problem with sequence and machine dependent setup times and the objective of makespan minimization. Two exact decomposition-based methods are proposed based on logic-based Benders decomposition and branch-and-check. These approaches are hybrid models that make use of a mixed integer programming master problem and a specialized solver for travel...

In this work we present a new scheduling model for parallel machines, which extends the multiprocessor scheduling problem with release times for minimizing the total tardiness, and also extends the problem of vehicle routing with time windows. This new model is motivated by a resource allocation problem which appears in the service sector. We present two class of heuristic algorithms for the so...

We consider the problem of scheduling n jobs with release dates on m identical parallel machines to minimize the average completion time of the jobs. We prove that the ratio of the average completion time of the optimal nonpreemptive schedule to that of the optimal preemptive schedule is at most 3 , improving a bound of (3− 1 m ) due to Phillips, Stein and Wein. We then use our technique to giv...

Abs t r ac t . We consider the problem of efficiently executing a set of parallel jobs on a parallel machine by effectively scheduling the jobs on the computer's resources. This problem is one of optimization of resource utilization by parallel computing programs and/or the management of multi-users requests on a distributed system. We assume that each job is parallelizable and can be executed ...

In this paper, we give a polynomial algorithm for problem P | r j , p j = p | f j (C j), where f j is any non-decreasing function such that for any indices i and j, function f i − f j is monotonous, and a polynomial algorithm for problem P | r j , p j = p, D j | max ϕ j (C j), where ϕ j is any non-decreasing function for any j.

This paper presents a new mixed-integer goal programming (MIGP) model for a parallel machine scheduling problem with sequence-dependent setup times and release dates. Two objectives are considered in the model to minimize the total weighted flow time and the total weighted tardiness simultaneously. Due to the complexity of the above model and uncertainty involved in real-world scheduling proble...