The notion of proole scheduling was rst introduced by Ullman in 1975 in the complexity analysis of deterministic scheduling algorithms. In such a model, the number of processors available to a set of tasks may vary in time. Since the last decade, this model has been used to deal with systems subject to processor failures, multipro-grammed systems, or dynamically reconngured systems. The aim of ...

This paper considers the minimization of maximum lateness for a set dependent tasks with unit duration, communication delays release times and due dates. The number processors is limited, each task requires one processor its execution. A time window built from an upper bound minimum associated to task. parameter considered pathwidth interval graph. fixed-parameter algorithm based on dynamic pro...

We study a problem of scheduling a maintenance activity on a single machine. Following several recent papers, the maintenance is assumed to be deteriorating, that is, delaying the maintenance increases the time required to perform it. The following objective functions are considered: makespan, flowtime, maximum lateness, total earliness, tardiness and due-date cost, and number of tardy jobs. We...

In this paper we introduce a new scheduling model with learning effects in which the actual processing time of a job is a function of the total normal processing times of the jobs already processed and of the job’s scheduled position. We show that the single-machine problems to minimize makespan and total completion time are polynomially solvable. In addition, we show that the problems to minim...

Hiroshi Kise Kyoto Institute of Technology Toshihid,! Ibaraki ar.d Hisashi Mine Kyoto University (Received November 24,1978; Revised March 12, 1979) Six approximation algorithms for the one-machine scheduling problem with ready and due times to minimize the maximum lateness are analyzed. The performance is measured by the relative deviation of approximate values to optimal ones. Best possible u...

This paper considers the problem of scheduling n jobs on a single machine. A fixed processing time and an execution interval are associated with each job. Preemption is not allowed. On the basis of analytical and numerical dominance conditions, an efficient integer linear programming formulation is proposed for this problem, aiming at minimizing the maximum lateness (Lmax). Experiments have bee...

We consider the problem of preemptively scheduling n jobs on a system of m uniform processors. Each job has a release time, a due time, and a memory requirement associated with it. Each processor has a speed and a memory capacity associated with it. Linear programming formulations are obtained for the following optimization criteria: (1) minimize the schedule length and (2) minimize the maximum...

The Garey-Johnson algorithm is one of only two known polynomial-time algorithms allowing to construct an optimal schedule for the maximum lateness problem with unit execution tasks, two parallel identical processors, precedence constraints and release times. The paper is concerned with the worst-case analysis of a generalisation of the Garey-Johnson algorithm for the case of arbitrary number of...

This paper focuses on the scheduling of trucks at a transshipment terminal with a single gate. Trucks deliver or pick up a single type of items at the gate and, therefore, increase or decrease, respectively, the inventory level. Naturally, pick up trucks can be served only if the required amount of items is available in the inventory. We consider the problem to find a schedule for trucks such t...