In this paper, an inventory model with ramp type demand rate with inflation and time value of money is developed. The deterioration rate follows three-parameter Weibull distribution with the concept of life time of an item. Shortages are also allowed and unsatisfied demand is partially backlogged. The model is fairly general in practice, as the demand of some items such as fashionable items inc...

In this paper we compare fair queueing algorithms with a novel approach based on the majorization theory of real valued vectors. We study the temporal evolution of the received normalized service of all backlogged sessions. In this way, we try to give a better insight into the performance of a Fair Queueing policy than what worst-case measures can provide. As an application of this approach, we...

In this paper we formulate a two-stage stochastic quadratic optimization problem, that models a production planning problem of multiple products, over several time periods, with uncertain demands. This model considers quadratic inventory holding and demand backlogging recourse costs, which model the saturation phenomenon inherent to the increase of the inventory and/or backlogged demand levels....

In this study, a deterministic inventory model in which items are subject to constant deterioration and shortages are allowed. The unsatisfied demand is backlogged which is a function of time. The optimal order quantity is derived by minimizing the total cost. The numerical example is given to support the result. The convexity of the cost function is shown numerically. Sensitivity analysis is c...

Abstract In this paper, we propose a new robust cycle-based control policy for single installation inventory models with non-stationary uncertain demand. The policy is simple, flexible, easily implementable and preliminary numerical experiments suggest that the policy has very promising empirical performance. The policy can be used both when the excess demand is backlogged as well as when it is...

We address a multi-item capacitated lot-sizing problem with setup times and shortage costs that arises in real-world production planning problems. Demand cannot be backlogged, but can be totally or partially lost. The problem can be modelled as a mixed integer program and it is NP-hard. In this paper, we propose some classes of valid inequalities based on a generalization of Miller et al. [17] ...

Markov-modulated processes have been used in stochastic inventory models with setup costs for modeling demand under the innuence of uncertain environmental factors, such as uctuat-ing economic and marketing conditions. The analyses of these models have been carried out in the literature only under the assumption that unsatissed demand is fully backlogged. We study a Markovian demand model in th...

A new mixed-integer programming (MIP) formulation is presented for the production planning of single-stage multi-product processes. The problem is formulated as a multi-item capacitated lot-sizing problem in which (a) multiple items can be produced in each planning period, (b) sequence-independent set-ups can carry over from previous periods, (c) set-ups can cross over planning period boundarie...

This paper studies distributed choice of retransmission probabilities in slotted ALOHA. Both the cooperative team problem as well as the noncooperative game problem are considered. Unlike some previous work, we assume that mobiles do not know the number of backlogged packets at other nodes. A Markov chain analysis is used to obtain optimal and equilibrium retransmission probabilities and throug...

This paper deals with an optimal ordering policy for non-deteriorating item with power demand under trade credits. The shortages are allowed and combination of backlogged and lost sales. Mathematical model is developed under two different situations, i.e., case 1: the permissible delay period is less than time to finish positive inventory and case 2 trade credit period is greater than or equal ...