While almost all existing works which optimally solve just-in-time scheduling problems propose dedicated algorithmic approaches, we in this work mixed integer formulations. We consider a single machine problem that aims at minimizing the weighted sum of earliness–tardiness penalties around common due date. Using natural variables, provide one compact formulation for unrestrictive case and, gene...

Nowadays many industry consider an interval time as a due date instead of precise points in time. In this study, the hybrid flow shop scheduling problem with basic blocking constraint is tackled. Where jobs, if done within window, are deemed on Therefore, criterion to minimize sum weighted earliness and tardiness. This variant flowshop not investigated best our knowledge. we introduced new meta...

Extensive research has been devoted to resource constrained project scheduling problem. However, little attention has been paid to problems where a certain time penalty must be incurred if activity preemption is allowed. In this paper, we consider the project scheduling problem of minimizing the total cost subject to resource constraints, earliness-tardiness penalties and preemption penalties, ...

In this chapter the authors address a hybrid flow shop scheduling problem considering the minimization of the makespan in addition to the sum of earliness and tardiness penalties. This problem is proven to be NP-hard, and consequently the development of heuristic and meta-heuristic approaches to solve it is well justified. So, to deal with this problem, the authors propose a method which consis...

We propose a column generation based exact decomposition algorithm for the problem of scheduling n jobs with an unrestrictively large common due date on m identical parallel machines to minimize total weighted earliness and tardiness. We rst formulate the problem as an integer program, then reformulate it, using Dantzig-Wolfe decomposition, as a set partitioning problem with side constraints. B...

This study investigates single-machine due-date assignment and scheduling problems with a job-dependent aging effect under a deteriorating maintenance activity consideration simultaneously. The maintenance activity can be scheduled immediately after any one of the jobs has been completed. In order to model the problem more realistic, we assume that: (1) once the maintenance activity has been co...

A set of n jobs with statistically independent random processing times has to be processed on a single machine without idling between jobs and without preemption. It is required to set due dates and promise them to customers. During the production stage, earliness and tardiness against the promised due dates will be penalized. The goal is to minimize the total expected penalties.We consider two...

In this paper, we study the multi-machine scheduling problem with earliness and tardiness penalties and sequence dependent setup times. This problem can be decomposedinto two subproblems sequencing and timetabling. Sequencing focuses on assigning each job to a fixed machine and determine the job sequence on each machine. We call such assignment a semi-schedule. Timetabling focuses on finding an...

We present a two-phase model for planning and scheduling of order picking processes. In many warehousing environments order picking processes are organized according to the pick&pack principle. Pickers must build stabile loads during the picking process under strict time constrains. A genetic algorithm with Pareto elitist-based selection has been developed for this multi-criteria optimization p...