groundwater is one of the common resources in varamin plain, but due to over extraction it has been exposed to ruin. this phenomenon will lead to economic and environmental problems. on the other hand, the world is expected to face with more stochastic events of water supply. furthermore, incorporating stochastic consideration of water supply becomes more acute in designing water facilities. th...

This study investigates the single-vendor single-buyer integrated production inventory models with controllable lead time. The lead time demand is stochastic and shortage during the lead time is permitted. The buyer orders a lot of size Q and the vendor manufactures mQ with a finite production rate P at one set-up but ships in quantity Q to the buyer over m times. Most researchers do not take t...

Stochastic optimal control is concerned with sequential decision-making under uncertainty. The theory of dynamic risk measures gives values to stochastic processes (costs) as time goes on and information accumulates. Both theories coin, under the same vocable of time-consistency (or dynamic-consistency), two different notions: the latter is consistency between successive evaluations of a stocha...

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In this paper, we consider the single vendor single buyer integrated production inventory problem. We relax the assumption of deterministic demand and assume that the lead time is varying lineraly with the lot size. The lead time is composed of a lot size-dependent run time and constant delay times such as moving, waiting and setup times. A solution procedure is suggested for solving the propos...

In this paper, a chance-constraint joint single vendor, single buyer supply chain problem with stochastic demand and fuzzy lead-time is investigated. The lead-time is lot size dependent; and delay times such as moving, waiting and setting time are fuzzy. The shortage costs result from backorder and/or lost sale, and the uncertain demand follows a uniform distribution. The buyer’s cost function ...

Cost and operation of inventory depends a great deal on what happens to demand when the system is out of stock. In real inventory systems, it is more reasonable to assume that part of the excess demand is backordered and the rest is lost. However, the amount of backorders (or lost sales) often incurs disturbance due to various uncertainties. To incorporate this reality, this article attempts to...

While the development and application of inventory control models of deterioration products is one of the main concerns of researchers and practitioners, most studies done in this field have focused on inventory models under fixed supply lead time assumption. In this paper, at first we study researches done in inventory control of deteriorating items and classify them based on modeling approach...

The stochastic inventory models analyzed in this paper explore the problem of lead time associated with setup cost reductions for the continuous review and periodic review inventory models. For these two models with a mixture of backorders and lost sales, we respectively assume that their mean and variance of the lead time demand and protection interval (i.e., lead time plus review period) dema...