• IE interfaces
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• v.13 no.3
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• pp.438-443
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• 2000

In this paper, we suggest a new backorder policy for stockout which is occurred in each regional distribution centers of distribution chain for capital-goods product. In backorder process of backorder policy, minimize expected stockout through the balancing-division module, and has occured stockout is backordering through the emergency supply from central distribution center and regional distribution center. Simulation tests show that our backorder policy is on the decrease of backorder cost and improvement of customer service. Our backorder policy has two important benefit. First, customer service level is improved by realization of minimum stockout. Second, the backorder process by allowance of the same level supply is to decrease system operating cost.

• Journal of Korean Institute of Industrial Engineers
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• v.24 no.1
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• pp.127-136
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• 1998

This paper presents a stochastic partial backorder inventory model for the situation in which demand follows normal distribution and back order ratio during that stockout period decreases exponentially according to the length of backorder period. In the paper, an objective function is formulated to minimize the average annual cost, which is the sum of the ordering, carrying, time-proportional backordering, and lost sales cost. And then sensitivity analysis for various exponential backorder ratios and standard deviations of leadtime demand are presented. The inventory model in the paper is reduced to a backorder model and lost sales model, when backorder ratio is 1 and 0, respectively.

• Journal of Industrial Technology
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• v.21 no.B
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• pp.37-44
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• 2001

Distribution System is considered as the most important part of SCM when the satisfaction of customer demand is considered. This paper focus on the backorder policies for stockout which is occurred in each regional distribution center of two-echelon distribution system facing stochastic demand process. Four concepts for the efficient system operation are suggested. First, at least 30% reduction of stockout is achieved by introduction of 50/25 allocation policy to distribution system. Second, transportation cost and lead-time of backorder are decreased by allowance of internal supply between regional distribution centers. Third, the frequency of emergency supply is minimized by application of Ship-up-to- expected-demand backorder policies. Finally we suggest several effective rules to select multi-internal suppliers. Simulation tests show the efficiency of our backorder policies and enhancement of customer service level.

• Journal of Korean Institute of Industrial Engineers
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• v.20 no.3
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• pp.105-116
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• 1994

This paper presents an inventory model with partial backorders for the situation in which demand is deterministic, lead time follows normal distribution and back order ratio during the stockout period varies in proportion to the length of backorder period In this situations, an objective function is formulated to minimize a time-proportional backorder cast and a fixed penalty cost per unit lost. And then the procedure of iterative solution method for the model is developed to find optimal reorder paint and order quantity and a numerical example to illustrate the proposed method is presented.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.17 no.32
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• pp.113-120
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• 1994

This study presents a two level-parallel type inventory systems with one upper level facility in the first echelon and n-lower level facilities in the second echelon. The stocks at the lowest facilities can become unbalanced with the random variations in the demands. This paper deals with the imbalance by considering redistribution and backorder. The system with redistribution and the system with backorder and redistribution are analized. The comparison of two cases shows that the system with redistribution and backorder gives smaller stocks than the system with redistribution.

• Proceedings of the Korea Society for Simulation Conference
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• 2003.06a
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• pp.129-134
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• 2003

In this paper, we determine optimal reduction in the lead time and setup cost for some stochastic inventory models. And we propose more general model that allow the backorder rate as a control variable. We first assume that the lead time demand follows a normal distribution. And we assume that the backorder rate is dependent on the length of lead time through the amount of shortages. The stochastic models analyzed in this paper are the classical continuous and periodic review policy models with a mixture of backorders and lost sales. For each of these models, we provide a sufficient conditions for the uniqueness of the optimal operating policy. We also develop algorithms for solving these models and provide illustrative numerical examples.

• Journal of the Korean Operations Research and Management Science Society
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• v.21 no.1
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• pp.71-80
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• 1996

This paper presents a stochastic partial inventory model for the situation in which demand is deterministic, lead time follows normal distribution and backorder ratio during the stockout period decreases exponentially according to the length of backorder period. In this situation, an objective function is formulated to minimize the average annual cost, which is the sum of the ordering, carrying time-proportional backordering, quantity-proportional backordering and lost sales costs. And then the procedure of iterative solution method for the model is developed to find optimal reorder point and order quantity and numerical example to illustrate the proposed method is presented.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.18 no.34
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• pp.15-23
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• 1995

We study how to determine backorder cost at the warehouse in a one-warehouse/N-retailer distribution system such that channel efficiency (minimizing total system costs) is improved. We define backorder costs as compensation that the warehouse pays to the retailer for the number or orders delayed due to stockout at the warehouse. We answer two questions : (1) "Should the warehouse compensate for his backorder\ulcorner" and (2) "Is there any equilibrium for both the warehouse and retailer while they are seeking for their own profits\ulcorner" We show that : (1) "The warehouse should pay backorder costs for the sake of channel efficiency." and (2) "There exists an equilibrium that is infiuenced by the amount of compensation." First, we prove the existence of a mutually acceptable equilibrium for both the warehouse and the retailer, which is different from Nash equilibrium because they independently maximize their respective profits with incomplete information about each other. Second, we prove that the equilibrium moves to a point such that channel efficiency is improved if the warehouse compensates the retailers for his backorders. We show the existence of an optimal compensation that minimizes total system costs. Third, we show that the amount of optimal compensation increases as the ratio of mean lead time for the warehouse to that for the retailer increases.ouse to that for the retailer increases.

• Journal of Korean Institute of Industrial Engineers
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• v.33 no.1
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• pp.26-32
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• 2007

This study deals with waiting-time dependent backordering rate during stock-out period in the EconomicProduction Quantity (EPQ) model. Assuming that the backordering rate follows an exponentially decreasingfunction of the waiting time, the backorder rate is developed under First-Come-First-Served (FCFS) andLast-Come-First-Served (LCFS) Policy. The mathematical models are developed based on differential equations.Through numerical examples, the validity of the developed models is illustrated.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.18 no.33
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• pp.153-160
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• 1995

This paper presents the parallel-type inventory structure using an order-up-to level inventory control system for analyzing the approximation of the expected units backordered and the measure of service. The rate of total expected backorders which is the measure of disservise, is given by dividing the improved units of total expected backorder into the total demand during an order cycle. the average annual total cost in system is obtained by considering the results. Total backorder model for the system without redistribution and the system with redistribution is described.