The Unrelated Parallel Machine Scheduling Problem with Earliness and Tardiness Penalties and Job Splitting
نویسندگان
چکیده
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 is used to develop a branch-and-bound solution method capable of solving small instances to optimality. For larger ones a filtered beam search heuristic procedure is proposed. A set of randomly generated test problems is used to compare the solutions obtained by four different versions of the heuristic search with optimal solutions and also with a dispachting rule.
منابع مشابه
حل مسئله زمان بندی ماشینهای موازی نامرتبط با اهداف کل زودکرد وزنی و کل دیرکرد وزنی با استفاده از الگوریتم جستجوی پراکنده چند هدفه
The parallel machine scheduling problem is an important and difficult problem to be considered in the real-world situations. Traditionally, this problem consists of the scheduling of a set of independent jobs on parallel machines with the aim of minimizing the maximum job completion. In today's manufacturing systems, in which both early and tardy finishing of job processing are undesired, the o...
متن کاملSingle-machine scheduling considering carryover sequence-dependent setup time, and earliness and tardiness penalties of production
Production scheduling is one of the very important problems that industry and production are confronted with it. Production scheduling is often planned in the industrial environments while productivity in production can improve significantly the expansion of simultaneous optimization of the scheduling plan. Production scheduling and production are two areas that have attracted much attention in...
متن کاملSolving the Single Machine Problem with Quadratic Earliness and Tardiness Penalties
Nowadays, scheduling problems have a considerable application in production and service systems. In this paper, we consider the scheduling of n jobs on a single machine assuming no machine idleness, non-preemptive jobs and equal process times. In many of previous researches, because of the delivery dalays and holding costs, earliness and tardiness penalties emerge in the form of linear combin...
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 کاملA comparison of algorithms for minimizing the sum of earliness and tardiness in hybrid flow-shop scheduling problem with unrelated parallel machines and sequence-dependent setup times
In this paper, the flow-shop scheduling problem with unrelated parallel machines at each stage as well as sequence-dependent setup times under minimization of the sum of earliness and tardiness are studied. The processing times, setup times and due-dates are known in advance. To solve the problem, we introduce a hybrid memetic algorithm as well as a particle swarm optimization algorithm combine...
متن کاملPareto-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...
متن کامل