A Time-Predefined Approach to Course Timetabling
Job shop scheduling with unit length tasks
In this paper, we consider a class of scheduling problems that are among the fundamental optimization problems in operations research. More specifically, we deal with a particular version called job shop scheduling with unit length tasks. Using the results of Hromkovič, Mömke, Steinhöfel, and Widmayer presented in their work Job Shop Scheduling with Unit Length Tasks: Bounds and Algorithms, we analyze the problem setting for 2 jobs with an unequal number of tasks. We contribute a deterministic algorithm...
Job shop scheduling with unit length tasks
In this paper, we consider a class of scheduling problems that are among the fundamental optimization problems in operations research. More specifically, we deal with a particular version called job shop scheduling with unit length tasks. Using the results of Hromkovič, Mömke, Steinhöfel, and Widmayer presented in their work Job Shop Scheduling with Unit Length Tasks: Bounds and Algorithms, we analyze the problem setting for 2 jobs with an unequal...
Key performance indicators for supply planning of multilevel serial systems with stochastic lead times
Multi-armed restless bandits, index policies, and dynamic priority allocation.
Multicriteria scheduling problems : a survey
This paper presents a state-of-the-art survey on multicriteria scheduling and introduces a definition of a multicriteria scheduling problem. It provides a framework that allows to tackle multicriteria scheduling problems, according to Decision Aid concepts. This problem is decomposed into three different problems. The first problem is about obtaining a model. The second one is how to take criteria into account and the third one is about solving a scheduling problem. An extension to an existing notation...
Multicriteria scheduling problems: a survey
This paper presents a state-of-the-art survey on multicriteria scheduling and introduces a definition of a multicriteria scheduling problem. It provides a framework that allows to tackle multicriteria scheduling problems, according to Decision Aid concepts. This problem is decomposed into three different problems. The first problem is about obtaining a model. The second one is how to take criteria into account and the third one is about solving a scheduling problem. An extension to an existing...
On scheduling models.
Scheduling problems with a common due window assignment: A survey
In this article a survey of studies on scheduling problems with a common due window assignment and earliness/tardiness penalty functions is presented. A due window is a generalization of the classical due date and describes a time interval in which a job should be finished. If a job is completed before or after the due window, it incurs an earliness or a tardiness penalty, respectively. In this survey we separately analyse the classical models with job-independent and job-dependent earliness/tardiness...
Single machine preemptive scheduling to minimize the weighted number of late jobs with deadlines and nested release/due date intervals
This paper is devoted to the following version of the single machine preemptive scheduling problem of minimizing the weighted number of late jobs. A processing time, a release date, a due date and a weight of each job are given. Certain jobs are specified to be completed in time, i.e., their due dates are assigned to be deadlines, while the other jobs are allowed to be completed after their due dates. The release/due date intervals are nested, i.e., no two of them overlap (either they have at most...
Single Machine Preemptive Scheduling to Minimize the Weighted Number of Late Jobs with Deadlines and Nested Release/Due Date Intervals
This paper is devoted to the following version of the single machine preemptive scheduling problem of minimizing the weighted number of late jobs. A processing time, a release date, a due date and a weight of each job are given. Certain jobs are specified to be completed in time, i.e., their due dates are assigned to be deadlines, while the other jobs are allowed to be completed after their due dates. The release/due date intervals are nested, i.e., no two of them overlap (either they have...
Stability of scheduling with random processing times on one machine
We consider a strong NP-hard single-machine scheduling problem with deadlines and minimizing the total weight of late jobs on a single machine (). Processing times are deterministic values or random variables having Erlang distributions. For this problem we study the tolerance to random parameter changes for solutions constructed according to tabu search metaheuristics. We also present a measure (called stability) that allows an evaluation of the algorithm based on its resistance to random parameter...
Two-machine flowshop scheduling problem to minimize makespan or total completion time with random and bounded setup times.
Un ordonnancement dynamique de tâches stochastiques sur un seul processeur
Nous montrons qu’une priorité dynamique particulière allouée aux tâches dans un système d’exploitation d’ordinateurs multitâches s’interprète comme deux problèmes d’ordonnancement particuliers, l’ordonnancement de tâches détériorantes à durée opératoires variables et de tâches en retard ou en attente de réparation de la machine. Deux propositions sur son comportement sont énoncées. Sous certaines conditions nous montrons qu’elle est une règle d’indice. Pour le faire, nous présentons l’outil des...
Un ordonnancement dynamique de tâches stochastiques sur un seul processeur
We show that a particular dynamic priority given to jobs in a multitasks operating system of computers is a deteriorating jobs or a delaying jobs scheduling. Under some assumptions we also show that it is an index rule. To do this, we present the tool of bandit processes to solve stochastic scheduling problems on a single machine.