This paper analyses the effects of various maintenance policies and part arrival patterns on the performance of a flexible manufacturing cell (FMC). A simulation analysis coupled with design of experiments is utilised in the study. In particular, the design of experiments includes maintenance...

Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$T \, =\, \{T_1, T_2, \ldots, T_n\}$$</EquationSource> </InlineEquation> be a set of n independent tasks and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$\mathcal{P}=\{P_1, P_2,\ldots, P_m\}$$</EquationSource> </InlineEquation> a set of m processors. During each time instant, each processor can be used by a single task at most. A schedule is for each task an allocation of one or more time...</equationsource></inlineequation></equationsource></inlineequation>

Let $$T \, =\, \{T_1, T_2, \ldots, T_n\}$$ be a set of n independent tasks and $$\mathcal{P}=\{P_1, P_2,\ldots, P_m\}$$ a set of m processors. During each time instant, each processor can be used by a single task at most. A schedule is for each task an allocation of one or more time intervals to...

The standard one-machine scheduling problem consists in scheduling a set of jobs in one machine which can handle only one job at a time, minimizing the maximum lateness. Each job is available for processing at its release date, requires a known processing time and after finishing the processing,...

We consider statistical properties of an NP-complete problem, the subset sum, using the methods and concepts of statistical mechanics. After introducing the statistical mechanical treatment of the problem, the phase transition behaviors are discussed. We also introduce a source coding scheme...

In one of the most influential existence theorems in mathematics, John F. Nash proved in 1950 that any normal form game has an equilibrium. More than five decades later, it was shown that the computational task of finding such an equilibrium is intractable, that is, unlikely to be carried out...

This paper focuses on the logistics aspect of supply chain management. It proposes a randomized flow management algorithm for a time-varying, random, supply chain network. A constrained stochastic optimization problem that maximizes the profit function in terms of the long-run, time-average of...

Maintaining the natural variability of a river’s flow regime is one of the most critical strategies sustaining the ecological integrity of aquatic ecosystems. This research seeks to determine the ecological flow regime for management of streamflow existing reservoirs. The ecological flow...

In this paper, we deal with the scheduling problem of systems that have similar structure of the production-scheduling problem of assembly plants of discrete products. Firstly, the definition of order controlled, assembly plant of discrete productions is given, together with the problem of...

In this paper, we state and study the problem of selecting a product mix and a dispatching rule for a jobshop system to maximize its revenue rate over an infinite planning horizon. We solve the problem of obtaining maximum revenue by selecting a product mix and determine a schedule. The designed...