# scheduling on a fixed number of batching machines

### Scheduling a proportionate flow shop of batching machines ...

Sep 17, 2020  10%  In this paper we study a proportionate flow shop of batching machines with release dates and a fixed number $$m \ge 2$$ of machines. The scheduling problem has so far barely received any attention in the literature, but recently its importance has increased significantly, due to applications in the industrial scaling of modern bio-medicine production processes.

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### Scheduling a Proportionate Flow Shop of Batching Machines ...

Jun 01, 2020  We show that for any fixed number of machines, the makespan and the sum of completion times can be minimized in polynomial time. Furthermore, we show that the obtained algorithm can also be used to minimize the weighted total completion time, maximum lateness, total tardiness and (weighted) number of late jobs in polynomial time if all release ...

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### Scheduling with batching: A review - ScienceDirect

Jan 16, 2000  For the case of m identical parallel batching machines and an arbitrary regular objective function, where there is no restriction on the batch size for any machine, Brucker et al. observe that there exists an optimal solution comprising an SPT-batch schedule on each machine. For a fixed number of identical parallel machines, therefore, the ...

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### Mixed batch scheduling on identical machines SpringerLink

Sep 11, 2019  10%  Specifically, we study a mixed batch scheduling problem with several identical batch machines and a fixed number of jobs. Each batch machine can process no greater than a given number of jobs at a time. The jobs in a batch start and complete their processing at the same time, and the actual processing time of a job is equal to the processing ...

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### Scheduling a batching machine — Eindhoven University of ...

A batching machine is a machine that can handle up to b jobs simultaneously.?? The jobs that are processed together form a batch?? and all jobs in a batch start and complete at the same time.?? The processing time of a batch is equal to the largest processing time of any job in the batch.??

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### Scheduling a Proportionate Flow Shop of Batching Machines ...

We show that for any fixed number of machines, the makespan and the sum of completion times can be minimized in polynomial time. Furthermore, we show that the obtained algorithm can also be used to minimize the weighted total completion time, maximum lateness, total tardiness and (weighted) number of late jobs in polynomial time if all release ...

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### Model approximation for batch flow shop scheduling with ...

A more complex environment, and the one we consider, is that with batching machines. Batching machines may process several jobs of a given type simultaneously, but each machine has a fixed batch capacity. Scheduling these systems breaks down into two main problemsthatneed to besolved:lot sizingand scheduling.The lotsizing problemis to deter-

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### Scheduling a Proportionate Flow Shop of Batching Machines

Jun 17, 2020  Scheduling a Proportionate Flow Shop of Batching Machines. Authors: Christoph Hertrich, Christian Weiß, Heiner Ackermann, Sandy Heydrich, Sven O. Krumke. Download PDF. Abstract: In this paper we study a proportionate flow shop of batching machines with release dates and a fixed number of machines. The scheduling problem has so far barely ...

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### Optimal preemptive scheduling on a fixed number of ...

Mar 01, 2005  In this paper, we consider the preemptive scheduling problem on a fixed number of identical parallel machines. We present a polynomial-time algorithm

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### Scheduling a single machine with parallel batching to ...

May 11, 2016  For the case of a batching machine with infinite capacity (i.e., the batch size allowed on the machine is larger than or equal to the number of jobs), we assume that the jobs have release dates. We present an O ( n 2 ) -time 2-approximation algorithm for problem (a) and, in addition, we present dynamic programming algorithms and fully ...

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### Online Over Time Scheduling on Parallel-Batch Machines: A ...

Nov 26, 2014  Li and Yuan [ 24] studied the online scheduling on m unbounded parallel-batch machines to minimize maximum flow time. They claimed that no online algorithm has a competitive ratio less than 1+\lambda _m, where \lambda _m^2+ (m+1)\lambda _m=1. An online algorithm with a competitive ratio of 1+\frac {1} {m} was proposed.

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### (PDF) A bicriteria flow-shop scheduling problem with two ...

We consider a bicriteria two-machine flow-shop serial-batch problem where the batches have limited size. The first criterion is the number of batches to be minimized. This criterion reflects situations where processing of any batch induces a fixed

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### Parallel machine scheduling with batch deliveries to ...

Number of times cited according to CrossRef: 4. Hua Gong, Yuyan Zhang, Puyu Yuan, Scheduling on a Single Machine and Parallel Machines with Batch Deliveries and Potential Disruption, Complexity, 10.1155/2020/6840471, 2020, (1-10), (2020).

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### Minimizing total completion time on a batch processing ...

Mar 01, 1993  Ahmadi et al. [1] examine a class of problems defined by a two or three machine flowshop where one of the machines is a batch processing machine. Assuming the processing time on the batch processing machine is the same for all jobs, they provide algorithms and complexity classifica- tions for the problems of minimizing mean flow time and makespan.

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### Job Batching and Scheduling for Parallel Non-Identical ...

batching and scheduling. Suppose we select a number of jobs out of a stock with jobs. These jobs are processed by a set of machines which are used to perform the same kind of processing on a number of jobs without preemption. Due dates are assigned to the jobs and between each of the jobs a fixed

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### Scheduling jobs on a flexible batching machine ...

Scheduling jobs on a flexible batching machine: model, complexity and algorithms. Share on. Authors:

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### Scheduling a Bounded Parallel-Batching Machine with ...

Nov 30, 2014  We study a scheduling problem with incompatible job families and rejection on a parallel-batching machine, where the objective is to minimize the makespan of all accepted jobs plus the total penalty of all rejected jobs. We provide a polynomial-time algorithm for the case where all jobs have identical release dates and a pseudo-polynomial-time algorithm for the case where the number of ...

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### Scheduling Problems with Two Competing Agents Operations ...

Apr 01, 2004  A further study on two-agent scheduling on an unbounded serial-batch machine with batch delivery cost Computers Industrial Engineering, Vol. 111 Multi-agent scheduling on a single machine with a fixed number of competing agents to minimize the weighted sum of number of tardy jobs and makespans

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### Batch scheduling with controllable setup and

rational number, and in an optimal solution for problem LC each of them is equal to its lower or upper bound. Problems TCT and LC combine scheduling, batching and resource allocation decisions. Reviews on batch scheduling are provided by Potts and Van Wassenhove,1 Webster and Baker,2 Allahverdi et al,3 and Potts and Kovalyov.4 The

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### Model approximation for batch flow shop scheduling with ...

A more complex environment, and the one we consider, is that with batching machines. Batching machines may process several jobs of a given type simultaneously, but each machine has a fixed batch capacity. Scheduling these systems breaks down into two main problemsthatneed to besolved:lot sizingand scheduling.The lotsizing problemis to deter-

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### Scheduling a Proportionate Flow Shop of Batching Machines

Jun 17, 2020  Scheduling a Proportionate Flow Shop of Batching Machines. Authors: Christoph Hertrich, Christian Weiß, Heiner Ackermann, Sandy Heydrich, Sven O. Krumke. Download PDF. Abstract: In this paper we study a proportionate flow shop of batching machines with release dates and a fixed number of machines. The scheduling problem has so far barely ...

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### Scheduling a batching machine - EUR

We address the problem of scheduling n jobs on a batching machine to minimize regular scheduling criteria that are non-decreasing in the job completion times. A batching machine is a machine that can handle up to b jobs simultaneously. The jobs that are processed together form a batch, and all jobs in a batch start and complete at the same time.

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### Scheduling a Bounded Parallel-Batching Machine with ...

Nov 30, 2014  We study a scheduling problem with incompatible job families and rejection on a parallel-batching machine, where the objective is to minimize the makespan of all accepted jobs plus the total penalty of all rejected jobs. We provide a polynomial-time algorithm for the case where all jobs have identical release dates and a pseudo-polynomial-time algorithm for the case where the number of ...

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### Job Batching and Scheduling for Parallel Non-Identical ...

batching and scheduling. Suppose we select a number of jobs out of a stock with jobs. These jobs are processed by a set of machines which are used to perform the same kind of processing on a number of jobs without preemption. Due dates are assigned to the jobs and between each of the jobs a fixed

get price

### Scheduling Problems with Two Competing Agents Operations ...

Apr 01, 2004  A further study on two-agent scheduling on an unbounded serial-batch machine with batch delivery cost Computers Industrial Engineering, Vol. 111 Multi-agent scheduling on a single machine with a fixed number of competing agents to minimize the weighted sum of number of tardy jobs and makespans

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### Parallel machine scheduling with batch deliveries to ...

Each delivery batch has a capacity and incurs a cost. The objective is to find a coordinated production and delivery schedule that minimizes the total flow time of jobs plus the total delivery cost. This problem is an extension of the problem considered by Hall and Potts, Ann Oper Res 135 (2005) 41–64, who studied a two-machine problem with ...

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### Scheduling a Proportionate Flow Shop of Batching Machines

In standard scheduling literature, e.g. in [Bru07], two diﬀerent kinds of batching machines are commonly distinguished. For a serial batching machine, the processing time of a batch is the sum of the processing times of the jobs included in the batch. Usually, an additional setup time is incurred. In contrast, for a parallel batching machine, the

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### Batch scheduling with controllable setup and

rational number, and in an optimal solution for problem LC each of them is equal to its lower or upper bound. Problems TCT and LC combine scheduling, batching and resource allocation decisions. Reviews on batch scheduling are provided by Potts and Van Wassenhove,1 Webster and Baker,2 Allahverdi et al,3 and Potts and Kovalyov.4 The

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### Scheduling (production processes) - Wikipedia

Production scheduling can take a significant amount of computing power if there are a large number of tasks. Therefore, a range of short-cut algorithms (a.k.a. dispatching rules) are used: Stochastic Algorithms : Economic Lot Scheduling Problem and Economic production quantity Heuristic Algorithms : Modified due date scheduling heuristic and Shifting bottleneck heuristic

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### Efficient scheduling algorithms for a single batch ...

Jul 01, 1986  Abstract. Scheduling problems of a batch processing machine are solved by efficient algorithms. On a batch processing machine, multiple jobs can be processed simultaneously in a batch form. We call the number of jobs in the batch the batch size, which can be any integer between 1 and k, a predetermined integer of the maximum batch size.

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### Scheduling Groups of Jobs on a Single Machine Operations ...

Aug 01, 1995  Parallel-machine batch scheduling to minimize the maximum lateness and the number of tardy jobs International Journal of Production Economics, Vol. 91, No. 2 Distributed production planning using a graph-based negotiation protocol

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### Competitive two-agent scheduling with deteriorating jobs ...

The batching machine can process several jobs simultaneously as a batch and the processing time of a batch is equal to the longest of the job processing times in the batch. The problem is to determine a schedule for processing the jobs such that the objective of one agent is minimized, while the objective of the other agent is maintained under ...

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### (PDF) Two-Machine Flowshop Batching and Scheduling T. C ...

This is the Pre-Published Version. Two-Machine Flowshop Batching and Scheduling B.M.T. Lin, Department of Information Management, National Chi Nan University, Nan-Tou, Taiwan 545 E-mail: [email protected] T.C.E. Cheng, Department of Logistics, The Hong Kong Polytechnic University, Kowloon, Hong Kong E-mail: [email protected] Abstract: We consider in this paper a two-machine

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