The standard 4-dimensional Minkowski space-time of special relativity is based on the 3-dimensional Euclidean metric. In 1967, H. Busemann showed that similar space-time models can be based on an arbitrary metric space. In this paper, we search for the broadest possible generalization of a metric under which a construction similar to Minkowski space-time leads to a physically reasonable space-t...

We present a heavy traÆc analysis for a G/G/1 queue in which customers have unbounded random deadlines correlated with their service times. The customers are processed according to the earliest-deadlinerst (EDF) queue discipline. At any time, the customers have a lead time, the time until their deadline lapses. We model the evolution of these lead times as a random measure on the real line. Und...

In this paper, we examine the impact of scheduling policies on batch sizing decisions in a multi-item production system. We also investigate the joint effect of scheduling policies and batch sizing decisions on production lead times. In particular, we compare the performance of a first come-first-served (FCFS) policy with a group scheduling (GS) policy and study the effect of both on the optima...

The standard 4-dimensional Minkowski space-time of special relativity is based on the 3-dimensional Euclidean metric. In 1967, H. Busemann showed that similar static space-time models can be based on an arbitrary metric space. In this paper, we search for the broadest possible generalization of a metric under which a construction of a static spacetime leads to a physically reasonable space-time...

This paper treats the optimization of production batches by computer simulation in a manufacturing company producing electric and pneumatic actuators. In its introduction part the article deals about a wider context of batch production optimization. Subsequently, the paper presents a procedure for creation of a simulation model in SIMPLE ++ software environment. Based on simulation of a manufac...

We consider $$u(t,x)=(u_1(t,x),\cdots ,u_d(t,x))$$ the solution to a system of non-linear stochastic heat equations in spatial dimension one driven by d-dimensional space-time white noise. prove that, when $$d\le 3$$ , local time $$L(\xi ,t)$$ $$\{u(t,x)\,,\;t\in [0,T]\}$$ exists and $$L(\cdot ,t) $$ belongs a.s. Sobolev space H^{\alpha }({\mathbb {R}}^d)$$ for $$\alpha <\frac{4-d}{2}$$ $$d\ge ...