We study the earliness-tardiness scheduling problem on a single machine with due date assignment and controllable processing times. We analyze the problem with three different due date assignment methods and two different processing time functions. For each combination of these, we provide a polynomialtime algorithm to find the optimal job sequence, due date values and resource allocation minim...

This paper considers the problem of linding an optimal schedule and a common due date for a set of jobs, in a static single machine system. The scheduling criterion is the minimization of the weighted sum of earliness and tardiness values. Different weights are considered as the earliness penalty and tardiness penalty, for each job. A branching procedure is presented for finding an optimal solu...

This paper considers the problem of scheduling a given number of jobs on a single machine to minimize total earliness and tardiness when family setup times exist. The paper proposes optimal branch-and-bound algorithms for both the group technology assumption and if the group technology assumption is removed. A heuristic algorithm is proposed to solve larger problems with the group technology as...

Focusing on the just-in-time (JIT) operations management, earliness as well as, tardiness of jobs’ production and delivery should be discouraged. In accordance to this philosophy, scheduling problems involving earliness and tardiness penalties are very critical for the operations manager. In this paper, a new population heuristic based on the particle swarm optimization (PSO) technique is prese...

In the scheduling problem addressed in this note we have to determine: (i) the job sequence, (ii) the (common) due-date, and (iii) the location of a rate modifying (maintenance) activity. Jobs scheduled before (after) the due-date are penalized according to their earliness (tardiness) value. The processing time of a job scheduled after the maintenance activity decreases by a job-dependent facto...

This paper focuses on a stochastic scheduling problem in which n immediately available jobs are to be scheduled jointly with the preventive maintenance in a single machine subject to breakdowns. The objective is to minimize expected total earliness and tardiness costs with a common due-date. The problem of scheduling only n jobs to minimize total earliness and tardiness costs in a single machin...

The aim of this paper is to solve a problem on scheduling with earliness and tardiness costs using constraint programming approach, and to compare the results with the ones from the original timed automata approach. The case study, a production of lacquers, includes some real life features like operating hours or changeover times. Considering the earliness and tardiness costs of the case study,...

A novel algorithm for one machine scheduling to minimize total weighted earliness and tardiness using particle swarm optimization is proposed. Existing techniques face challenges such as job size limitations increase in computational time and inaccurate solutions. To overcome these challenges the proposed work implements Meta-Heuristic based particle swarm optimization to optimize the total wei...

We consider the problem of determining the allocation of demand from different customer orders to production batches and the schedule of resulting batches to minimize the total weighted earliness and tardiness penalties in context of batch chemical processing. The problem is formulated as a mixed-integer nonlinear programming model. An iterative heuristic procedure that makes use of the network...

In this paper, we present dominance conditions for the single machine weighted earliness scheduling problem with no idle time. We also propose an algorithm that can be used to improve upper bounds for the weighted earliness criterion and lower bounds for an earliness/tardiness problem. The computational tests show that the algorithm is superior to an initial heuristic schedule and an existing a...