This paper discusses the issue of order crossover and its effects in order point, lot size (s, Q) inventory systems. Orders are likely to cross when their lead times are stochastic. Two inventory systems are considered to examine the consequences of order crossover. The first inventory system considers a fast moving item having deterministic demand and stochastic lead time. It is assumed lead t...

This paper presents a novel algorithm for learning in a class of stochastic Markov decision processes (MDPs) with continuous state and action spaces that trades speed for accuracy. The algorithm can be seen as a generalization of linear quadratic control to nonlinear, non-regulation problems. A transform is presented of the stochastic MDP into a deterministic one which captures the essence of t...

This paper presents a novel algorithm for learning in a class of stochastic Markov decision processes (MDPs) with continuous state and action spaces that trades speed for accuracy. A transform of the stochastic MDP into a deterministic one is presented which captures the essence of the original dynamics, in a sense made precise. In this transformed MDP, the calculation of values is greatly simp...

Optical stochastic cooling (OSC) is expected to enable fast cooling of dense particle beams. Transition from microwave to optical frequencies enables an achievement of stochastic cooling rates which are orders of magnitude higher than ones achievable with the classical microwave based stochastic cooling systems. A subsystem critical to the OSC scheme is the focusing optics used to image radiati...

In this paper, the orders induced by the residual implications obtained from uninorms are investigated. A necessary and sufficient condition is presented so that the ordinal sum of fuzzy implications satisfies the law of importation with a t-norm $T$. Some relationships between the orders induced by an ordinal sum implication and its summands are determined. The algebraic structures obtained fr...

We recently introduced a new stochastic Petri net model called “batch deterministic and stochastic Petri nets” (BDSPNs) capable of describing the synchronization of discrete and batch token flows in discrete batch processes. It is a powerful formal model for the study of inventory systems and supply chains where materials are processed or ordered in finite discrete quantities (batches) and many...

We extend the definition of level-crossing ordering of stochastic processes, proposed by Irle andGani (2001), to the case in which the times to exceed levels are compared using an arbitrary stochastic order, and work, in particular, with integral stochastic orders closed for convolution. Using a sample-path approach, we establish level-crossing ordering results for the case in which the slower ...

Abstract We explore the relationship between weighted path orders and (monotonic) semantic orders. Our findings reveal that can be considered instances of a variant comprise order pairs. This observation leads to generalization does not impose simplicity on their underlying algebras. As result, generalized version is capable proving termination term rewrite systems beyond realm simple terminati...