Economic lot size scheduling problem (ELSP) for a multi-product single machine system is a classical problem. This paper considers ELSP with budgetary constraint as an important aspect of such systems. In the real world situations the available funds for investment in inventory is limited. By adopting the common cycle time approach to ELSP, we obtain the optimal common cycle which minimizes the...

While it is widely believed that preemptability is a necessary requirement for developing real-time software, there are additional costs involved with preemptive scheduling, as compared to non-preemptive scheduling. Furthermore, in the context of fixed-priority scheduling, feasibility of a task set with nonpreemptive scheduling does not imply feasibility with preemptive scheduling (and vice-ver...

In this paper, a representation of multi-valued functions called interval decision diagrams (IDDs) is introduced. It is related to similar representations such as binary decision diagrams. Compared to other functional representations with regard to symbolic formal verification approaches, IDDs show some important properties that enable us to verify process networks and related models of computa...

Interval prediction is essential to improve the scheduling and planning of wind power systems. In this study, a novel lower upper bound estimation model based on gated recurrent unit was proposed for clustered forecasting. Different from existing research, directly realizes interval point results corresponding error coefficients, an unsupervised learning strategy introduced construct coefficien...

So far the static properties of hadrons have been introduced in various models. The static properties of hadrons (charge radius, magnetic moment, etc.) are useful for understanding the quark structure of hadron. In this work we have introduced the hypercentral constituent quark and isospin dependent potentials. Here constituent quarks interact with each other via a potential in which we have ta...

Scheduling in Real-time systems differs from scheduling in conventional models in two principal ways: (a) Parameter variability, (b) Existence of complex constraints between jobs. Our focus has been on variable execution times. Whereas traditional models assume fixed values for job execution time, we model execution times of jobs through convex sets. The second feature unique to real-time syste...

The indeterministic multi-layer job-shop scheduling problem, which is the extension of the traditional job-shop scheduling, is introduced in this paper. The framework and some key issues of the problem are discussed. A multi-agent reinforcement learning approach, named memory-evolution-based MAS reinforcement learning algorithm, is breifly introduced too. Experiment results show that our approa...

4 Preventive maintenance (PM) is a maintenance program with activities initiated at predetermined intervals, or 5 according to prescribed criteria, and intended to reduce the probability of failure, or the degradation of the functioning 6 of an item. In the literature, a number of PM models have been introduced to depict the effectiveness of PM. Based on 7 these models, approaches to scheduling...