In this paper we consider a single server system with an arbitrary number of traffic classes employing either Weighted Fair Queueing or Weighted Round Robin service policy among classes. By using sample path Large Deviations techniques we derive logarithmic equivalents of the quantities P(Wi > x) as x → ∞, where Wi is the stationary amount of class i traffic backlogged. This generalizes previou...

An inventory system for non-instantaneous deteriorating items with price-dependent demand is formulated and solved. A model is developed in which shortages are allowed and partially backlogged, where the backlogging rate is variable and dependent on the waiting time for the next replenishment. The major objective is to determine the optimal selling price, the length of time in which there is no...

We present time-parallel algorithms for parallel simulation of multiple access protocols for medium access – in particular, slotted Aloha and slotted -persistent CSMA. Two mechanisms are presented — regeneration point-based and fix up-based. Aloha is simulated using both mechanisms and CSMA is simulated using only the first mechanism. An analytical technique is developed to predict speedup for ...

Fuzzy set theory is primarily concerned with how to quantitatively deal with imprec ision and uncertainty, and offers the decision maker another tool in addition to the classical deterministic and probabilistic mathematical tools that a re used in modeling real-world problems. The present study investigates a fuzzy economic order quantity model for deteriorating items in which demand increases ...

This paper studies dynamic inventory and pricing decisions for a set of substitutable products over a finite planning horizon. We present a general stochastic, price-dependent demand model that unifies many commonly used demand models in the literature. Unsatisfied demands are backlogged. There are linear purchasing, inventory-holding, and backordering costs. The objective is to maximize the to...

We consider a model of a supply chain consisting of n production facilities in tandem and producing a single product class. External demand is met from the finished goods inventory maintained in front of the most downstream facility (stage 1); unsatisfied demand is backlogged. We adopt a base-stock production policy at each stage of the supply chain, according to which the facility at stage i p...

In this paper we outline a scheme to perform packet-level scheduling and resource allocation at the wireless node that takes into account the notions of both efficiency and fairness and presents a means to explore the trade-off between these two notions. As a part of this scheme we see the scheduling problem as deciding not just the packet transmission schedule but also the power allocation, th...

We consider the joint pricing and inventory control problem for a single product with a finite horizon and periodic review. The demand distribution in each period is determined by an exogenous Markov chain. Pricing and ordering decisions are made at the beginning of each period and all shortages are backlogged. The surplus costs as well as fixed and variable costs are state dependent. We show t...

Demand considered in most of the classical inventory models is constant, while in most of the practical cases the demand changes with time. In this article, an inventory model is developed with time dependent two parameter weibull demand rate whose deterioration rate increases with time. Each cycle has shortages, which have been partially backlogged to suit present day competition in the market...

In wireless sensor networks, the many-to-one data communication pattern induces high collision losses as multiple transmissions cause contention and interference along the paths from sources to the sink. This paper proposes a low-overhead MAC layer solution to address the high contention problem to improve system throughput and reduce energy consumption. Periods of burst transmissions with redu...