A Heuristic Serial Schedule Algorithm for Unrelated Parallel Machine Scheduling With Precedence Constraints
نویسندگان
چکیده
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. Moreover, at each iteration, the algorithm can schedule the prior job on the prior machine as early as possible to prevent certain machines from standing idle by the greatest extent. The proposed algorithm is demonstrated in detail through a test instance. Computational experiments are conducted to show that the new polynomial-time algorithm is effective in reducing makespan and efficient in shortening runtime.
منابع مشابه
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...
متن کاملSINGLE MACHINE DUE DATE ASSIGNMENT SCHEDULING PROBLEM WITH PRECEDENCE CONSTRAINTS AND CONTROLLABLE PROCESSING TIMES IN FUZZY ENVIRONMENT
In this paper, a due date assignment scheduling problem with precedence constraints and controllable processing times in uncertain environment is investigated, in which the basic processing time of each job is assumed to be the symmetric trapezoidal fuzzy number, and the linear resource consumption function is used.The objective is to minimize the crisp possibilistic mean (or expected) value of...
متن کاملSolving a New Multi-objective Unrelated Parallel Machines Scheduling Problem by Hybrid Teaching-learning Based Optimization
This paper considers a scheduling problem of a set of independent jobs on unrelated parallel machines (UPMs) that minimizesthe maximum completion time (i.e., makespan or ), maximum earliness ( ), and maximum tardiness ( ) simultaneously. Jobs have non-identical due dates, sequence-dependent setup times and machine-dependentprocessing times. A multi-objective mixed-integer linear programmi...
متن کاملSpill-Free Parallel Scheduling of Precedence Graphs
VLIW scheduling, register allocation This paper concerns the problem of spill-free scheduling of acyclic precedence graphs on a processor with multiple functional units and a limited number of registers. The problem of minimizing the schedule length is well known to be computationally intractable. We present a heuristic for the problem, a general divideand-conquer paradigm that converts any ins...
متن کاملA Novel B and B Algorithm for a Unrelated Parallel Machine Scheduling Problem to Minimize the Total Weighted Tardiness
This paper presents a scheduling problem with unrelated parallel machines and sequencedependent setup times that minimizes the total weighted tardiness. A new branch-and-bound (B and B) algorithm is designed incorporating the lower and upper bounding schemes and several dominance properties. The lower and upper bounds are derived through an assignment problem and the composite dispatching rule ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- JSW
دوره 6 شماره
صفحات -
تاریخ انتشار 2011