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On the optimality of linear schedules

Journal of VLSI signal processing systems for signal, image and video technology, 1989
An algorithm can be modeled as a set of indexed computations, and a schedule is a mapping of the algorithm index space into time.Linear schedules are a special class of schedules that are described by a linear mapping and are commonly used in many systolic algorithms.Free schedules cause computations of an algorithm to execute as soon as their operands
Weijia Shang, José A. B. Fortes
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On optimal scheduling in DEDS

[1993] Proceedings IEEE International Conference on Robotics and Automation, 2002
The local optimality (LO) property for discrete event dynamic systems (DEDS) modeled using Petri nets (PNs) is presented. If a system is divided into independent subsystems and if the optimal behavior of these subsystems guarantees the optimal behavior of the whole system, then this system possesses the LO property.
Antonio Ramírez-Treviño   +2 more
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On strictly optimal schedules for the cumulative cost-optimal scheduling problem

Computing, 1980
Given a set ofn events (or jobs) which are constrained by a precedence relation, we want to order them into a totally ordered sequence (i. e., one machine schedule). Each event has an integer cost (which may be negative) associated with it, and our objective is to minimize the maximum cumulative cost within a schedule, i.
Hussein M. Abdel-Wahab, Tiko Kameda
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Asymptotically Optimal Appointment Schedules

Mathematics of Operations Research, 2019
We consider the problem of scheduling appointments for a finite customer population to a service facility with customer no-shows to minimize the sum of customer waiting time and server overtime costs. Because appointments need to be scheduled ahead of time, we refer to this problem as an optimization problem rather than a dynamic control one. We study
Mor Armony, Rami Atar, Harsha Honnappa
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Optimizing Shift Scheduling

2017
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Kecklund, L.G.   +2 more
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Optimal Fault-Secure Scheduling

The Computer Journal, 1998
Summary: We consider here two basic fault-secure scheduling problems for multiprocessor systems. First, given the number of processors in the system and a set of computational tasks of unit length expressed as a complete binary tree, a scheduling algorithm is proposed such that the total execution time is a minimum and no undetected single error result
Jie Wu 0001   +2 more
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Optimal Advance Scheduling

Management Science, 2015
The dynamic assignment of patients to exam days in order to manage daily variations in demand and capacity is a long-standing open research area in appointment scheduling. In particular, the dynamic assignment of advance appointments has been considered to be especially challenging because of its high dimensionality.
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Optimal schedule for anthracyclines

European Journal of Cancer and Clinical Oncology, 1985
Commentaire sur l'article de L'European. J. cancer. clin.
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LINEAR SCHEDULING IS NEARLY OPTIMAL

Parallel Processing Letters, 1991
This paper deals with the problem of finding optimal schedulings for uniform dependence algorithms. Given a convex domain, let Tf be the total time needed to execute all computations using the free (greedy) schedule and let Tl be the total time needed to execute all computations using the optimal linear schedule.
Darte, Alain   +2 more
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On the Optimality of Feautrier’s Scheduling Algorithm

Concurrency and Computation: Practice and Experience, 2002
AbstractFeautrier's scheduling algorithm is the most powerful existing algorithm for parallelism detection and extraction, but it has always been known to be suboptimal. However, the question as to whether it may miss some parallelism because of its design has not been answered. We show that this is not the case.
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