The minimization of makespan in open shop with time lags has been to be shown NP-hard the strong sense even for case two machines and unit-time operations. total completion time, however, remained that though it weighted or jobs release dates. This note shows operations is which answers long standing question.

We propose a linear time algorithm, called G2DLP, for generating 2D lattice L(n1, n2) paths, equivalent to two-item } B , {A 2 1 n n multiset permutations, with a given number of turns. The usage of turn has three meanings: in the context of multiset permutations, it means that two consecutive elements of a permutation belong to two different items; in lattice path enumerations, it means that t...

scheduling is an important subject of production and operations management area. in flow-shop scheduling, the objective is to obtain a sequence of jobs which when processed in a fixed order of machines, will optimize some well defined criteria. the concept of transportation time is very important in scheduling. transportation can be done by robots. in situations that robots are used to transpor...

In this paper, scheduling problems in Flexible Manufacturing Cells (FMC) are studied. The scheduling objective is to minimize the makespan. We used a genetic algorithm (GA) for solving the optimization scheduling problem. We have developed one FMC with industrial characteristics with the objective of studying scheduling problems in these types of manufacturing systems (single machine scheduling...

The paper concerns the application of a non-classical performance measure, a late work criterion (Y, Yw), to scheduling problems. It estimates the quality of the obtained solution with regard to the duration of the late parts of tasks not taking into account the quantity of this delay. The paper provides the formal definition of the late work parameter, especially in the shop environment, toget...

We study a two-machine open shop scheduling problem, in which the machines are not continuously available for processing. No preemption is allowed in the processing of any operation. The objective is to minimize the makespan. We consider approximability issues of the problem with more than one non-availability interval and present an approximation algorithm with a worst-case ratio of 4/3 for th...

The distributed blocking flow shop scheduling problem (DBFSP) allows modeling the scheduling process in companies with more than one factory. It configures production systems as flow shop lines where the blocking constraint must be considered. To the best of our knowledge, this variant of the distributed permutation flow shop scheduling problem has not been studied. In this working paper, we sh...