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Machine Environment (1) l: single machine: m identical machines in parallel: m machines in parallel with different speeds: m unrelated machines in parallel: flow shop with m machines in series each job must be processed on each machine using the same route. queues between the machines FIFO queues, see also permutation flow shop: flexible flow shop with c stages in series and several
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Jul 13, 2006· (2009) Semi-online machine covering for two uniform machines. Theoretical Computer Science 410 :47-49, 5047-5062. (2009) Tighter approximation bounds for LPT scheduling in two special cases.
Nov 16, 2010· We show that if the first (last) machine is the slowest and if maintenances occur only on the first (last) machine, then sequencing the jobs in the LPT (SPT) order yields an optimal schedule for the m-machine problem. As a special case of the ordered flow shop, we focus on the proportionate flow shop where the processing times of any given job
In this paper, LPT (largest processing time) algorithm is considered for scheduling jobs with similar sizes on three machines. The objective function is to minimize the maximum completion time of all machines. The worst case performance ratio of the LPT algorithm is given as a piecewise linear function of r if job sizes fall in [1, r]. Our result is better than the existing result.
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††† Summary In simple flow shop problems, each machine operation center includes just one machine. If at least one machine center includes more than one machine, the scheduling problem becomes a flexible flow-shop problem. Recently, group scheduling has also been proposed and discussed. In the group scheduling, each job belongs to a specific group and all the jobs are processed group by
Flow Shop 2 2. Flow shop problem with m=2 machines We first demonstrate that Suppose there exists an optimal schedule S in which the processing order on the two machines is different. Let the first k jobs be processed in the same order on both machines. Besides, let job j be processed on machine M 2 in position k+1 and on machine M 1 in position k+1+q.
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Oct 01, 1993· Operations Research Letters 14 (1993) 139-142 October 1993 North-Holland A note on LPT scheduling Bo Chen Econometric Institute, Erasmus University, Rotterdam, The Netherlands Received November 1992 Revised July 1993 In the theory of parallel-machine scheduling, the Largest Processing-Time-first (LPT) heuristic has been the touchstone for the design of efficient off-line …
5 Machine Environments Q1: single machine ·Many job scheduling problems are easy. QP m: m parallel identical machines ·Every job requires the same processing time on each machine. ·Use of machine eligibility constraints M j if job j can only be executed on a subset of machines OAirport gate scheduling: wide and narrow body airplanes QQ m: m uniformly related machines
This paper examines two special cases of the n-job, m-machine permutation scheduling flowshop problem. The first case assumes an increasing series of dominating machines; while the second case
• Machine learning and data driven analyses The presentations (~20-minutes + 5 minutes discussion) will focus on recent studies, but as well on a larger perspective and showing the relevant work of different research groups related to data-assimilation and evaluation codes for PIV and LPT processing. 16 presentations are already confirmed.
Jun 20, 2019· processing time (LPT) algorithm was proposed for an identical parallel-machine scheduling problem. Results suggested that this algorithm exhibits a sharper tight worst-case ratio bound than the LPT algorithm. Koulamas and Panwalkar 6 considered a two-machine no-wait job shop scheduling problem. Results revealed
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LPT-LS algorithm）is proposed. Its steps are as follows: 1) Firstly, scheduled the non-preemptive jobs in machine by the LPT（the Longest Processing Time）rule; 2)Then, scheduled the preemptive jobs into the machine’s remaining time by the LS （the List Scheduling）rule. And more importantly we discuss the worst-case ratios of
Jun 26, 2020· One common scheduling problem is the job shop, in which multiple jobs are processed on several machines. Each job consists of a sequence of tasks, which must be performed in a given order, and each task must be processed on a specific machine. For example, the job could be the manufacture of a single consumer item, such as an automobile.
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The problem addressed in this paper is the two-machine job shop scheduling problem when the objective is to minimize the total earliness and tardiness from a common due date (CDD) for a set of jobs when their weights equal 1 (unweighted problem). This objective became very significant after the introduction of the Just in Time manufacturing approach.
Hybrid metaheuristic, parallel genetic algorithm, open-shop scheduling, LPT heuristic 1. Introduction Given n jobs, every job composed of m operations to be processed by m dedicated machines, and the processing times required for all operations, the Open-Shop Scheduling Problem (OSSP) is …