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    The M/M/1 queue with inventory, lost sale, and general lead times

    , Article Queueing Systems ; Volume 75, Issue 1 , January , 2013 , Pages 65-77 ; 02570130 (ISSN) Saffari, M ; Asmussen, S ; Haji, R ; Sharif University of Technology
    2013
    Abstract
    We consider an M/M/1 queueing system with inventory under the (r,Q) policy and with lost sales, in which demands occur according to a Poisson process and service times are exponentially distributed. All arriving customers during stockout are lost. We derive the stationary distributions of the joint queue length (number of customers in the system) and on-hand inventory when lead times are random variables and can take various distributions. The derived stationary distributions are used to formulate long-run average performance measures and cost functions in some numerical examples  

    A two-echelon inventory model with perishable items and lost sales

    , Article Scientia Iranica ; Volume 23, Issue 5 , 2016 , Pages 2277-2286 ; 10263098 (ISSN) Mahmoodi, A ; Haji, A ; Haji, R ; Sharif University of Technology
    Sharif University of Technology  2016
    Abstract
    This article deals with a single perishable item, continuous-review, two-echelon serial inventory system consisting of a warehouse and a retailer. Customer demands at the retailer are assumed to be Poisson. All items have a fixed shelf life and start aging on their arrival at the retailer. The demand that cannot be met immediately at the retailer is lost. All transportation times are fixed. If there is any stock in the warehouse, the lead time for the retailer would be the transportation time from the warehouse. Otherwise, the retailer orders are met with a delay. In this article, using an approximate technique, we first present a heuristic for finding cost-effective base stock policy and... 

    Joint order (1, T) policy for a two-echelon, single-item, multi-retailer inventory system with Poisson demand

    , Article Computers and Industrial Engineering ; Volume 119 , 2018 , Pages 353-359 ; 03608352 (ISSN) Tayebi, H ; Haji, R ; Ghalebsaz Jeddi, B ; Sharif University of Technology
    Elsevier Ltd  2018
    Abstract
    This study considers a two-echelon inventory system with one central warehouse and a number of non-identical retailers with Poisson demands, constant lead times, and lost sales for a single item. The warehouse works as a cross-docking terminal with no inventory and coordinates shipments to retailers. We apply the Joint order (1, T) policy in such an inventory system. In the standard (1, T) policy, the warehouse sends one unit of the item to each retailer in a fixed cycle time, which is calculated by considering each retailer separately. In the joint order (1, T) policy, the warehouse decides to replenish one unit of the item for each retailer in a cycle time which is adjusted to be an... 

    Cost evaluation of a two-echelon inventory system with lost sales and approximately Poisson demand

    , Article International Journal of Production Economics ; Volume 102, Issue 2 , 2006 , Pages 244-254 ; 09255273 (ISSN) Seifbarghy, M ; Akbari Jokar, M. R ; Sharif University of Technology
    2006
    Abstract
    The inventory system under consideration consists of one central warehouse and many identical retailers controlled by continuous review inventory policy ( R, Q). We assume independent Poisson demands with constant transportation times for the retailers and a constant lead time for replenishing orders from an external supplier for the warehouse. Unsatisfied demands are assumed to be lost in the retailers and unsatisfied retailer orders are backordered in the warehouse. We develop an approximate cost function to find optimal reorder points for given batch sizes in all installations and the related accuracy is assessed through simulation. © 2005 Elsevier B.V. All rights reserved  

    Data Sharing in Two-level Supply Chain with Two-way Information Exchang

    , M.Sc. Thesis Sharif University of Technology Dodd, Omid (Author) ; Hajji, Alireza (Supervisor)
    Abstract
    In this study, I examined a two-level supply chain with two-way information exchange in which both the manufacturer and the retailer will be informed of each other’s stock.In order to make use of this type of information exchange, the manufacturer and the retaile modify their single-level base-stock policy to a two-level, state-dependent base-stock policy.Later, I exerted the lost sale policy. And finally, I investigated the impact of this type of information exchange on the general chain criteria. Then, I point out the advantages of this method.
    Applying the mentioned method reduces the total cost of system as well as decreasing the average amount of manufacturer’s inventory along with... 

    Analysis of a Two-Echelon Inventory Model with Lost Sales and Stochastic Demand using Continuous-Time Markov Chain

    , M.Sc. Thesis Sharif University of Technology Vasheghani Farahani, Iman (Author) ; Haji, Rasoul (Supervisor)
    Abstract
    In this paper, we studied a two-echelon inventory system which consists of one central warehouse and one retailer. All installations follow base stock inventory management policy. The customers arrive at retailer according to Poisson distribution. The demand is satisfied when both central warehouse and retailer have positive on-hand inventory. Otherwise, the demand is lost. The lead time of central warehouse and the time needed to replenish orders of retailer are assumed to be exponentially distributed. The purpose of this study is to minimize the expected long-run total cost of the system per unit time. Total cost of the system includes holding costs of central warehouse and retailer, cost... 

    A two-echelon inventory model with lost sales

    , Article European Journal of Operational Research ; Volume 181, Issue 2 , 2007 , Pages 753-766 ; 03772217 (ISSN) Hill, R. M ; Seifbarghy, M ; Smith, D. K ; Sharif University of Technology
    2007
    Abstract
    This paper considers a single-item, two-echelon, continuous-review inventory model. A number of retailers have their stock replenished from a central warehouse. The warehouse in turn replenishes stock from an external supplier. The demand processes on the retailers are independent Poisson. Demand not met at a retailer is lost. The order quantity from each retailer on the warehouse and from the warehouse on the supplier takes the same fixed value Q, an exogenous variable determined by packaging and handling constraints. Retailer i follows a (Q, Ri) control policy. The warehouse operates an (SQ, (S - 1)Q) policy, with non-negative integer S. If the warehouse is in stock then the lead time for... 

    Developing Inventory Control Policies with No Ordering Costs in Two-Echelon Supply Chains

    , Ph.D. Dissertation Sharif University of Technology Tayebi, Hamed (Author) ; Haji, Rasoul (Supervisor)
    Abstract
    This dissertation attempts to develop four inventory control models for two-echelon supply chains. For the all models, the retailers face Poisson demand and lost sales during a stockout. There is also a time-dependent holding cost and a cost per unit of lost sales. However, there is no (or negligible) cost associated with placing an order.
    For the first model, we consider a two-echelon inventory system with one central warehouse and a number of retailers. The central warehouse applies (R, Q) policy and retailers apply base stock policy. In this model, we approximate the arrival process of the central warehouse and obtain the total cost of the system, as well as the optimal solution.... 

    Joint Pricing and Inventory Control of Deteriorating Items under Conditions of Finite Production, Partial Backlogging and Lost Sale

    , M.Sc. Thesis Sharif University of Technology Rashidi, Mohammad (Author) ; Haji, Alireza (Supervisor)
    Abstract
    When demand for a product is price sensitive, pricing and lot sizing decisions are interdependent. Similarly, when a product is highly perishable, the demand may need to be backlogged to avoid costs due to deterioration, i.e., perishability and backlogging are complementary conditions.In this thesis we stablish two economic production quantity models for deteriorating items under conditions of finite production, exponential decay and partial backordering and lost sale. Two joint pricing inventory control models are developed for the problem by employing different modeling approaches over an infinite planning horizon. In two models, customer is viewed to be impatient and the fraction of the... 

    Optimization of Inventory Routing Problem Based on VMI

    , M.Sc. Thesis Sharif University of Technology Pourmohsen, Roxana (Author) ; Akbari Jokar, Mohammad Reza (Supervisor)
    Abstract
    This thesis introduces a inventory-routing problem under a vendor managed inventory strategy in a two-echelon supply chain. The VMI Routing problem in this study consists of multiple suppliers, multiple retailers and a single item. The suppliers plan inventory replenishments for retailers based on deterministic demand over multiple planning period. Also they allow stock-outs at retailers, which are considered lostsales. Transshipments are allowed, neither between suppliers nor between customers. Retailers can be supplied just by one assigned supplier. Model also considers some constraints on time and capacity. A mixed integer programming formulation is presented to describe the model. We... 

    Inventory Management in Two-Echelon Chain with Shortage

    , M.Sc. Thesis Sharif University of Technology Sodachi, Majid (Author) ; Haji, Alireza (Supervisor)
    Abstract
    The thesis has considered a two-echelon supply chain which consists of one central warehouse and multiple retailers. Assume all retailers and the warehouse follow a continuous review inventory model. The costumer’s demand comes to retailers in a Poisson process. The retailers replenish their stocks from the warehouse in an (S-1, S) inventory control policy and the warehouse replenishes its stocks in an (r, Q) inventory control policy from an external supplier with an infinite capacity. It may be more representative to model stockouts as lost sales when the retailers are in a competitive market or in monopoly markets all demand will be backorder. Therefore, if the market situation goes... 

    A queueing system with inventory and mixed exponentially distributed lead times

    , Article International Journal of Advanced Manufacturing Technology ; Volume 53, Issue 9-12 , August , 2011 , Pages 1231-1237 ; 02683768 (ISSN) Saffari, M ; Haji, R ; Hassanzadeh, F ; Sharif University of Technology
    2011
    Abstract
    We consider M/M/1/∞ systems with inventory in which completing each service in the queueing system requires an on-hand inventory. Continuous review (r, Q) policy is considered for the inventory system, and lead times are assumed to be mixed exponentially distributed. During stockout, arriving demands get rejected from the queue and become lost (lost sale situation). We derive stationary distribution of product form of joint queue length and on-hand inventory. The resulting distribution is employed to compute performance measures which can be used to derive the optimal policy. Optimal order size for predetermined reorder policy is initially determined and finally, optimal reorder point and... 

    One-for-one period policy in a two-echelon inventory system with poisson demand and constraint on total lost sales

    , Article 2009 IEEE/INFORMS International Conference on Service Operations, Logistics and Informatics, SOLI 2009, Chicago, IL, 22 July 2009 through 24 July 2009 ; 2009 , Pages 74-77 ; 9781424435418 (ISBN) Haji, R ; Haji, B ; Sharif University of Technology
    2009
    Abstract
    In this paper we consider a two- echelon inventory system consisting of one supplier and a number of retailers with independent Poisson demand. Unsatisfied demands in retailers are lost and it is assumed that there is a constraint on total lost sales for the system. Each retailer applies a new ordering policy called one-fer-one-peried ordering policy for its inventory control. In this ordering policy the order size is equal to one and the time interval between any two consecutive orders is fixed. Thus, the supplier faces a uniform and deterministic demand originated from each retailer and applies one for one ordering policy in response to orders received from all retailers. For this system... 

    A genetic algorithm to optimize multiproduct multiconstraint inventory control systems with stochastic replenishment intervals and discount

    , Article International Journal of Advanced Manufacturing Technology ; Volume 51, Issue 1-4 , November , 2010 , Pages 311-323 ; 02683768 (ISSN) Taleizadeh, A. A ; Akhavan Niaki, S.T ; Aryanezhad, M. B ; Fallah Tafti, A ; Sharif University of Technology
    2010
    Abstract
    There are two main assumptions in multiperiodic inventory control problems. The first is the continuous review, where, depending on the inventory level, orders can happen at any time, and the other is the periodic review, where orders can only happen at the beginning of each period. In this paper, these assumptions are relaxed, and the periods between two replenishments are assumed independent and identically distributed random variables. Furthermore, the decision variables are assumed integer-type and that there are two kinds of space and budget constraints. The incremental discounts to purchase products are considered, and a combination of backorder and lost sales are taken into account... 

    Optimal integrated inventory model with lost sale and backordering

    , Article 2009 International Conference on Computers and Industrial Engineering, CIE 2009, 6 July 2009 through 9 July 2009, Troyes ; 2009 , Pages 825-830 ; 9781424441365 (ISBN) Haji, A ; Amiri Elyasi, K ; Save Shemshaki, A ; Sharif University of Technology
    Abstract
    Rapid market changes, explosion of product varieties and short life cycleshave increased competition in today's global markets. It is obvious that intoday's competitive markets, collaboration between the vendor and the buyer isnecessary to reduce the joint inventory cost and the response time of thevendor-buyer system. Joint Economic Lot sizing Problem has been extended in manydifferent directions. Shortage is not allowed in the most of the previousresearches. A few of them considered shortage backordering as a result ofimperfect quality. The purpose of this paper is to recast the Joint economic lotsizing model to be more relevant to current situations, where lost sales and/orbackorders are... 

    A queueing approach to production-inventory planning for supply chain with uncertain demands: Case study of PAKSHOO Chemicals Company

    , Article Journal of Manufacturing Systems ; Volume 29, Issue 2-3 , July , 2010 , Pages 55-62 ; 02786125 (ISSN) Teimoury, E ; Modarres, M ; Ghasemzadeh, F ; Fathi, M ; Sharif University of Technology
    2010
    Abstract
    In some industries such as the consumable product industry because of small differences between products made by various companies, customer loyalty is directly related to the availability of products required at that time. In other words, in such industries demand cannot be backlogged but can be totally or partly lost. So companies of this group use make-to-stock (MTS) production policy. Therefore, in these supply chains, final product warehouses play a very important role, which will be highlighted by considering the demand uncertainty as it happens in real world, especially in the consumable product industries in which demand easily varies according to the customer's taste variation,... 

    Multiproduct single-machine production system with stochastic scrapped production rate, partial backordering and service level constraint

    , Article Journal of Computational and Applied Mathematics ; Volume 233, Issue 8 , 2010 , Pages 1834-1849 ; 03770427 (ISSN) Taleizadeh, A. A ; Akhavan Niaki, S. T ; Najafi, A. A ; Sharif University of Technology
    Abstract
    In this paper, a multiproduct single-machine production system under economic production quantity (EPQ) model is studied in which the existence of only one machine causes a limited production capacity for the common cycle length of all products, the production defective rates are random variables, shortages are allowed and take a combination of backorder and lost sale, and there is a service rate constraint for the company. The aim of this research is to determine the optimal production quantity, the allowable shortage level, and the period length of each product such that the expected total cost, including holding, shortage, production, setup and defective items costs, is minimized. The...