This paper studies operations sequencing for a multi-stage production inventory system with lead times under predictable (deterministic) yield losses in the presence of uncertain demand, with full or partial release of work-in-process (WIP) inventories, for preor post-operation cost structures, and under the total discounted or average cost criteria. We derive necessary and sufficient criteria ...

In this paper, a fuzzy mathematical programming model is proposed to address integrated production and routing planning decisions which considers uncertain production and inventory capacities, as well as production, setup, inventory holding and transport costs. This proposal considers flexible constraints and the lack of knowledge related to the previous input parameters which are modelled by u...

Group-buying auction has become a popular marketing strategy in the last decade. In this paper, a stochastic model is developed for an inventory system subjects to demands from group-buying auctions. The model discussed here takes into the account of the costs of inventory, transportation, dispatching and re-order as well as the penalty cost of non-successful auctions. Since a new cycle begins ...

The Pontryagin minimum principle is applied in this paper to find the optimal controllers of the Holt, Modigliani, Muth and Simon(HMMS) reverse logistics model of a production inventory system with deteriorating items. The total cost of the system consists of the sum of holding costs of inventory levels in two different stores, the manufacturing and remanufacturing costs, and the disposal cost....

This study analyzes an inventory control problem of a company in stochastic demand environment under carbon emissions regulations. In particular, a continuous review inventory model with multiple suppliers is investigated under carbon taxing and carbon trading regulations. We analyze and compare the optimal (Q,R) policies with order splitting under two ordering policies: sequential ordering and...

in this paper, a supplier-retailer transportation system is investigated as a two-echelon environment. there is a single location in each echelon; the unique supplier at the first echelon has to replenish the retailer's warehouse at the second echelon. by the way, the shortage situation should be avoided. for this situation, a model is provided based on the traditional eoq model. the inven...

We present an O(n2) dynamic programming algorithm for lot sizing with inventory bounds and fixed costs, where n is the number of time periods. The algorithm utilizes a hierarchy of two layers of value functions and improves the complexity bound of an earlier O(n3) algorithm for concave-cost and bounded inventory. c © 2007 Elsevier B.V. All rights reserved.

We consider a new approach to stochastic inventory/routing that approximates the future costs of current actions using optimal dual prices of a linear program. We obtain two such linear programs by formulating the control problem as a Markov decision process and then replacing the optimal value function with the sum of single-customer inventory value functions. The resulting approximation yield...

Gray markets are unauthorized channels of distribution for a supplier’s authentic products. This paper studies a distribution channel that consists of a supplier who offers all-unit quantity discounts for batch orders to enjoy cost savings, and a reseller who may divert some goods to the gray markets. Our analysis shows the impact of gray markets depends on the reseller’s batch inventory holdin...

In traditional supply chain inventory management, orders are the only information firms exchange, but information technology now allows firms to share demand and inventory data quickly and inexpensively. We study the value of sharing these data in a model with one supplier, N identical retailers, and stationary stochastic consumer demand. There are inventory holding costs and back-order penalty...