W consider the problem of allocating demand arising from multiple products to multiple production facilities with finite capacity and load-dependent lead times. Production facilities can choose to manufacture items either to stock or to order. Products vary in their demand rates, holding and backordering costs, and service-level requirements. We develop models and solution procedures to determi...

This study examines the optimal run time for the economic manufacturing quantity (EMQ) model with failure-in-work, backlogging, and random breakdown happening in stock-piling time. A recent article by Chiu and Chiu [Mathematical modeling for production system with backlogging and failure in repair, Journal of Scientific & Industrial Research, 65 (2006) 499-506] investigated optimal lot-size for...

Abstract Customer purchasing deeds may be affected by factors such as selling price and inventory level instead of demand which is considered either constant or function of single variable which is not feasible. Consequently in the present study we have considered demand rate as a function of stock-level and selling price both. In present study, in order to develop this model it has been assume...

This paper examines “distribution policies” — that is, combined system inventoryreplenishment, vehicle routing and inventory-allocation policies — designed to minimize total expected purchasing and inventory-management (i.e., inventory-holding and backordering) costs/period for a one-warehouse N-retailer “symmetric” distribution system managed under a periodic-review policy. With respect to dyn...

This work presents a multiple objective linear programming (MOLP) model based on the desirability function approach for solving the aggregate production planning (APP) decision problem upon Masud and Hwang’s model. The proposed model minimises total production costs, carrying or backordering costs and rates of change in labor levels. An industrial case demonstrates the feasibility of applying t...

One of the basic assumptions of the classical dynamic lot-sizing model is that the aggregate demand of a given period must be satisfied in that period. Under this assumption, if backlogging is not allowed then the demand of a given period cannot be delivered earlier or later than the period. If backlogging is allowed, the demand of a given period cannot be delivered earlier than the period, but...

We analyze three queueing control problems that model a dynamic stochastic distribution system, where a single capacitated vehicle serves a finite number of retailers in a make-to-stock fashion. The objective in each of these vehicle routing and inventory problems is to minimize the long run average inventory (holding and backordering) and transportation cost. In all three problems, the control...

A centralized multi-echelon, multi-product supply chain network is presented in a multi-period setting with products that show varying demand against price. An important consideration in such complex supply chains is to maintain system performance at high levels for varying demands that may be sensitive to product price. In order to examine the price-centric behavior of the customers, the conce...

The correlated demand caused by cross-selling, Zhang et al (2011) proposed a two-item EOQ model, where the unmet demand for the major item can be partially backordered with lost sales that will reduce demand for the minor item. They developed an enumeration algorithm that can deal with only one minor associated item. Zhang et al (2011) proposed the partial backordering EOQ with correlated deman...