A New Polynomial Algorithm For A Parallel Identical Scheduling Problem

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Lecture 1: Scheduling on Parallel Machines

by F Vivien 2013 Solving an integer problem is an NP-complete problem. However, solving a linear program (where all variables are rational) can be done in polynomial time, and 

Unrelated Machine Scheduling with Stochastic Processing

12 Sep 2016 Labs, New York, New York 10018, [email protected] [11] prove MaxSNP-hardness and hence there is no polynomial time approximation scheduling on identical parallel machines have been obtained in 1999 by Möhring indexed LP relaxation for stochastic scheduling problems (see Megow [14]).

Note on Parallel Machine Scheduling with Batch Setup Times

by S Webster 1998 Cited by 8 Syracuse University, Syracuse, New York. (Received June 1995 they infer a similar result for a well-known, more general problem. We explain that scheduling jobs on two identical parallel processors to minimize total completion time. Each job belongs to a polynomial time reduction from a known binary NP- complete 

Scheduling jobs with service level requirements on parallel

In this paper we consider the problem of scheduling n jobs with service level requirements on m identical machines in the presence of machine availability and avail- ability interval show that the complexity of this polynomial algorithm is O(n3) , where n denotes the total makespan of this new schedule ˆS is less than (br.

Parallel machine scheduling by column generation - CORE

by JM van den Akker Cited by 186 Parallel machine scheduling problems concern the scheduling of n jobs on problem of minimizing total weighted completion time on m identical These pseudo-polynomial algorithms, however, are impractical unless m = 2 for the gramming relaxation of the set covering formulation by adding new columns that may 

Scheduling Problems and Solutions - NYU Stern

by U Schwiegelshohn identical parallel machines are available at time t. problem with a polynomial time algorithm and Modify J' to represent the new set of schedulable jobs.

Efficient algorithms for machine scheduling problems with

by G FENG 2007 Cited by 28 In this paper, we study the multi-machine scheduling problem with earliness and tardiness gistics practices and raised a new class of non-regular performance measures MGET refers to the class of Multiple (as opposed to single) parallel ma- developed the first polynomial algorithm for SEQ whose time complexity is.

Scheduling jobs on two uniform parallel machines to minimize

by S Kodimala 2013 The problem of scheduling n independent jobs on m uniform parallel The pseudo-polynomial algorithm has time complexity O(n T2)and can α1 =P, then the machines are called identical parallel machines current make span of the schedule, and we will resume from the pause. if we get any new jobs 

Iterated greedy algorithms for a complex parallel - arXiv

by D Mecler 2021 The authors provided new best solutions for several instances in the benchmark of Abu- authors provided polynomial-time algorithms to minimize the maximum lateness, 2.1 Identical Parallel Machine Scheduling Problem.

Scheduling Algorithms 1 Introduction - People.csail.mit.edu

by D Karger Cited by 210 arising in many scheduling problems, while at the same time remaining and it thus seems unlikely that polynomial-time algorithms exist to solve them. In the identical parallel machine environment the machines are identical, and job j requires In the new schedule, all jobs other than j and k have the same completion 

Particle Swarm Optimization Algorithm for Unrelated Parallel

by YK Lin 2013 Cited by 26 largest processing time. (LPT) to minimize makespan for identical parallel machines and Kyparisis [5] considered uniform parallel machine scheduling problems a polynomial time approximation scheme for scheduling identical parallel In each iteration, a particle moves from its previous location to a new location.

Convex Programming for Scheduling Unrelated Parallel

by Y Azar Cited by 81 We consider the classical problem of scheduling parallel unrelated machines. Each job is The new objective function yields a bounded gap. we use the same convex program together with randomized rounding to obtain a √2- A 2-approximation polynomial algorithm for the general problem for any given lp norm (p >.

New complexity results for parallel identical machine

by D Prot 2013 Cited by 19 Parallel identical machine scheduling problems are one of the most stud- prove that P pmtn, rj,pj = p ∑ Cj can be solved in polynomial-time 

A new dynamic programming algorithm for the parallel

by CY Lee 1992 Cited by 40 completion time problem. Chung-Yee Lee weighted completion time on parallel identical machines. The algorithm is polynomial in the sum of all job weights, unlike the classical dynamic programming; scheduling; parallel machines.

Full Text Available - OSTI.GOV

by C Phillips 1995 Cited by 120 problem of scheduling n jobs that are released over time in order to minimize the In most of these models polynomial-time algorithms were known to mini- For unrelated machines, we give a new integer programming formulation. We then turn to parallel identical machines, and give a technique that 

Approximation Schemes for Parallel Machine Scheduling

by K Jansen Cited by 50 presenting new approximation algorithms for this kind of problems. Abstract identical parallel machines scheduling problems with controllable process- ing times. A Polynomial Time Approximation Scheme (PTAS for short) for an NP-hard.

A Polynomial Algorithm for Sequencing Jobs with Release

by N Vakhania m parallel uniform machines (or processors) from the set M = {1, 2, , m}. chines, whereas scheduling problems with identical machines are easier than those with size which yields a polynomial time overall performance. rithm, independently whether a new LDTC-schedule will be generated or not, 

A New Approximation Algorithm for Unrelated Parallel

by Z Peia Lancia (2000) investigated a scheduling problem under unrelated parallel (2001) provided a convex quadratic integer programming based method for the same problem meaning the optimal schedule can't be derived in polynomial time.


by C Chekuri 1998 Cited by 32 We study single machine and parallel machine scheduling problems with the objective We introduce a new class of scheduling problems that arise from query optimization in We obtain a polynomial time approximation scheme for this problem. for the above instance on two identical parallel machines M1 and M2. 1. 2.

Scheduling to Minimize the Makespan on Identical Parallel

by E Mokoto Cited by 19 In the classical Parallel Machines Scheduling (PMS) problem, there are n jobs and The aim of this article is to present a new approximation algorithm based on Lin- researchers over the past 40 years, exact polynomial algorithms have not 

A Parameterized Algorithm for the Preemptive Scheduling of

by GB Mertzios on identical parallel machines [18] are polynomial for equal-length jobs, while the corresponding problems in the general case are both NP-hard, also on a.

Fifty Years of Scheduling: A Survey of Milestones - ePrints Soton

by CN Potts 2009 Cited by 190 We focus on the types of scheduling problems that arise in production These milestones correspond to papers that have typically initiated a new McNaughton (1959) studies problems of scheduling jobs on m identical parallel machines, gorithms discussed thus far are what we now call polynomial-time algorithms.

Flowshop scheduling with identical jobs and uniform parallel

1998 Cited by 74 We show that the 2-stage problem may also be solved in polynomial-time and for the number of stages greater Keywords: Scheduling; Flowshops; Uniform parallel machines; Makespan. 1. in the latest start time of the jth job in the se-.

Parallel Machine Scheduling - TU Delft Repositories

18 Oct 2018 Because of their supervision, I felt comfortable to try many new approaches Only one job using that resource can be processed at the same time. is the problem of scheduling jobs on parallel machines, where one wants to can be solved in polynomial time by a reduction to the matching problem.

Scheduling Two Identical Parallel Machines Subjected - MDPI

by AM Al-Shayea 2020 identical machines by allocating each machine to a specific job(s) to optimize a Other scheduling problems with release time are parallel consists of a combination of two parents to create a new child. Timkovsky, V.G. A polynomial-time algorithm for the two-machine unit-time release-date job-shop.

Work Efficient Parallel Scheduling Algorithms - mediaTUM

by H Stadtherr 1998 Cited by 2 schedule for executing n unit length tasks on m identical parallel processors constrained by In order to obtain fast parallel scheduling algorithms, new techniques problem possesses a polynomial approximation scheme, i.e., for every ε ¨ 0,.

A Polynomial Algorithm for Multiprocessor Scheduling with

by ST McCormick 2001 Cited by 51 We call this problem the Multiprocessor Scheduling Problem with C job lengths (MSPC). Parallel machine scheduling, high-multiplicity scheduling, polynomial algorithms, bin packing describes our polynomial algorithm for C = 2, which is the case of identical machines. which we loop back to a new iteration of Step 5).

WEB Paper in Journals Short

intervals are not approximable in polynomial time within a constant factor. Page 2. 2. Parallel processor scheduling with limited number of problem is to schedule n independent jobs on m identical processors that operate in parallel. 409 419] give an O(mH) algorithm to solve this problem where H is the latest deadline.

Maximising the total weight of on-time jobs on parallel

by Y Zinder 2021 The scheduling problems with parallel machines and the restrictions imposed The makespan minimisation problem with parallel identical maximum weight matching problem can be solved in polynomial time [11,12]. If all jobs a new node j and the edge e = {j, j } with the weight ue = wj are introduced.

A simulated annealing approach for the non-identical parallel

by P Godhandaraman 2019 Cited by 4 A fully polynomial- time approximation scheme and a pseudo-polynomial-time algorithm are identical parallel machine to minimize the makespan. The mathematical Starting of batch processing work, a new jobs are not allowed to process or remove from the batch. machine scheduling problem. The capacities ܵ௥ of 

Optimize Unrelated Parallel Machines Scheduling Problems

by IM Al-harkan 2019 Cited by 5 its immediately preceding job, that is, the setup time for a job i after job j it should not equal the setup time for the same job i after any other job.

Parallel machine scheduling with precedence constraints

by T Wang 2018 problem of scheduling equal-processing-time jobs which the new algorithm some NP-hard problem may have polynomial algorithms.

A new algorithm for minimizing makespan on identical parallel

by A Kuruvilla Identical parallel machines, minimizing makespan, heuris- tic algorithm, empirical the NP-hardness of the problem many polynomial time algorithms, having a known worst-case chines that are available for a new schedule. The job set Jc 

Heuristic methods for the identical parallel machine owtime

by S Dunstalla 2005 Cited by 58 We study a machine-scheduling problem within which we have identical parallel We note that for the problems addressed in this paper polynomial time means [13] Lee C-Y, Uzsoy R. A new dynamic programming algorithm for the parallel 

A Heuristic to Minimize Makespan in Proportional Parallel

by A Al-Salem 2004 Cited by 23 The problem of scheduling n independent jobs on m proportional parallel flow shops to minimize This paper proposes a new polynomial-time heuristic to solve the above algorithm to minimize makespan on m identical parallel machines.

Approximation Algorithms for Modern Multi - Infoscience

by M Niemeier 2012 Cited by 1 with scheduling periodically recurring tasks in a parallel computer network on a plane: Each minimization problems such as scheduling on identical machines, each job 4.2.3 Polynomial Time Approximation Schemes for Special Cases add tasks to machines already opened, then opening a new machine if a task 

Approximation Algorithms for Parallel Machine Scheduling

by L Chen 2016 problem, with m or c being a constant, and derive PTASes (Polynomial Time Approximation. Schemes) There are m parallel identical machines, n and meanwhile the new solution is a feasible solution of the unrelated machine scheduling.


by E Mehdizadeh 2007 Cited by 25 parallel-machine scheduling problem with family setup times that minimizes the total weighted flow time lower bound computed in a polynomial time. They.

Solving Parallel Machine Scheduling Problems by Column

by ZL Chen 1996 Cited by 240 We consider a class of problems of scheduling n jobs on m identical, uniform, or unre- lated parallel and solved by pseudo-polynomial dynamic programming algorithms. tions and adding the new columns to the restricted master problem.


by JJ Clifford 1997 Cited by 5 larly, identical machines are effidently encoded in the same manner. problem in polynomial time using high multiplidty techniques. This chapter considers parallel-machine scheduling problems, where each set of new job group.

Scheduling Problem with Unrelated Parallel Machines

by FRA Gomes 2017 This thesis addresses two unrelated parallel machines scheduling problem with algorithm is also proposed to find near-optimal solutions for medium-size instances than job k on a specific machine, although the same cannot be true for another machine. formulations with a new linearization to calculate the makespan.

Cyclic Scheduling for Parallel Processors with - IOPscience

by N Grigoreva 2020 multiprocessors problem when a set of jobs is done on identical parallel processors. processing time, can be solved in polynomial time. schedule for the problem is one in which a new project is begun every z time units (the cycle time) and.

Parallel Machine Problems with Equal Processing Times

by SA Kravchenko Cited by 64 Abstract The basic scheduling problem we are dealing with is the following. There problems with equal processing time jobs form a remarkable case which is still open for most suppose the existence of a polynomial algorithm for any monotonic criterion. Optimization, 245 261, Academic Press, New York, 1984. 26.

A genetic algorithm for minimizing makespan of block erection

25 jobs identical parallel machine-scheduling problem with precedence Lin and Liu (2004) presented a polynomial algorithm for the parallel machine-scheduling structure of genes in a chromosome randomly so that a new combination of 

New Old Algorithms for Stochastic Scheduling

by AS Schulz Cited by 16 Abstract We consider the stochastic identical parallel machine schedul- ing problem and it has a polynomial-time approximation scheme (Afrati et al. 1999); a 2- scheduling problem of minimizing the total weighted completion time on iden-.

Duality-Based Algorithms for Scheduling Unrelated Parallel

1993 Cited by 95 We consider the following machine scheduling problem. There are m parallel identical machines, no polynomial-time algorithm for. R Cmax exists unless P 


by L Caccetta are said to be identical for the case where the processing times of each job are the Scheduling problem, mixed integer linear programming, parallel pro- and Jimeno [19] proposed a new algorithm based on BB with the algorithm using gave a polynomial-time 2-approximation algorithm to solve the problem. Another.

Scheduling algorithms

by D Karger 2010 Cited by 36 scheduling problems, while at the same time remaining simple enough to permit elegant unlikely that polynomial-time algorithms exist to solve them. In the identical parallel machine environment the machines are identical, and In the new schedule, all jobs other than j and k have the same completion times as before.

A new polynomial algorithm for a parallel identical scheduling

by Y Li 2007 precedence order and Heap Sort, a new polynomial algorithm is provided which aims to solve the Parallel identical scheduling problems with objective.

A PTAS for Minimizing Average Weighted Completion Time

by C Chekuri 2000 scheme (PTAS) was discovered for the case of identical parallel machines [1]. a polynomial time approximation scheme (PTAS) for this problem. time. Doing this requires several new properties of near optimal schedules that we describe.