A single-machine scheduling problem with precedence delays is analyzed. A set of n tasks is to be scheduled on the machine in such a way that the makespan is minimized. The executions of the tasks are constrained by precedence delays, i.e., a task can start its execution only after any of its predecessors has completed and the delay between the two tasks has elapsed. In the case of unit executi...

We consider a single machine earliness/tardiness scheduling problem with general weights, ready times and due dates. Using completion time information obtained from the optimal solution to a preemptive relaxation, we generate feasible solutions to the original non-preemptive problem. We report extensive computational results demonstrating the speed and effectiveness of this approach.

We consider two single machine bicriteria scheduling problems in which jobs belong to either of two different disjoint sets, each set having its own performance measure. The problem has been referred to as interfering job sets in the scheduling literature and also been called multi-agent scheduling where each agent’s objective function is to be minimized. In the first problem (P1) we look at mi...

In this paper, we present a comparison of heuristic optimization algorithms for single machine scheduling problems with and without arbitrary job release times. The main focus of our analysis is the efficiency of the examined methods, i.e. how they perform under strictly limited computation time. Furthermore, we study the effects of arbitrary release times on problem difficulty and required com...

We study the design of optimal mechanisms in a setting where job-agents compete for being processed by a service provider that can handle one job at a time. Each job has a processing time and incurs a waiting cost. Jobs need to be compensated for waiting. We consider two models, one where only the waiting costs of jobs are private information (1-d), and another where both waiting costs and proc...

Neural machine translation models rely on the beam search algorithm for decoding. In practice, we found that the quality of hypotheses in the search space is negatively affected owing to the fixed beam size. To mitigate this problem, we store all hypotheses in a single priority queue and use a universal score function for hypothesis selection. The proposed algorithm is more flexible as the disc...

The single machine scheduling problem with sum of completion times criterion (SS) can be solved easily by the Shortest Processing Time (SPT) rule. In the case of significant uncertainty of the processing times, a robustness approach is appropriate. In this paper, we show that the robust version of the (SS) problem is NP-complete even for very restricted cases. We present an algorithm for findin...

This paper addresses a single machine scheduling problem in which the following simple constraint is added: a set of time slots is forbidden for starting a task, that is no task can start at any forbidden time point. We show that the single machine problem with makespan minimization is strongly NP-complete and we give polynomial algorithms to solve the problems with a small number of forbidden ...

We consider the scheduling problem of minimizing the average weighted completion time of n jobs with release dates on a single machine. We first study two linear programming relaxations of the problem, one based on a time-indexed formulation, the other on a completiontime formulation. We show their equivalence by proving that a O(n logn) greedy algorithm leads to optimal solutions to both relax...

Abstract We consider the single machine scheduling problem with resource dependent release times and processing times, in which both the release times and processing times are strictly linear decreasing functions of the amount of resources consumed. The objective is to minimize the makespan plus the total resource consumption costs. We propose a heuristic algorithm for the general problem by ut...