• 산업경영시스템학회지
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• 제38권2호
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• pp.145-151
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• 2015

As order quantity is increased, the ordering cost per item will be cheaper due to saving of transportation and material handling costs. In this paper, two realistic assumptions such as quantity discount and budget limit are considered. Quantity discount means that all units in the order will be discounted according to the predetermined order levels. Budget limit represents that the costs for inventory investments are bounded. This paper develops a Lagrangian relaxation approach for a continuous review inventory model with a budget constraint and quantity discounts. Computational results indicate that the proposed approach provides a good solution. Sensitivity analysis is done to get some insights on budget limit and quantity discount. As budget limit or the amount of discount according to order quantity is increased, order quantity is increased, whereas reorder point is not always increased.

• 한국경영과학회지
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• 제17권1호
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• pp.113-126
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• 1992

It is discussed how a supplier should design a quantity discount pricing schedule for multiple buyers. It is emphasized that nor only the supplier's surplus but also each buyer's surplus resultant from quantity discount should be considered in designing price schedule. It is shown that if the supplier's quantity pricing schedule is based on his/her profit function, each buyer's surplus may be maximized. And it is also shown that when the supplier's main benefit comes from the reduced number of setups, the incremental discount schedule satisfies the requirement. Formulas to determine values of parameters of the incremental discount schedule are provided.

• 한국경영과학회지
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• 제37권1호
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• pp.1-18
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• 2012

The present study provides some extensions over a recent work in Won (2011) which investigates properties of the static newsvendor problem under a schedule involving progressive multiple discounts under the assumption that demand is given exogenously. Khouja (1995, 1996) formulated the extended versions over the classical newsvendor model with various discount policies including all-units discount and/or multiple discounts and found that the extended newsvendor models with discount schedules yield higher optimal expected profits than the classical newsvendor model with no-discounts. In this study, we establish a robust conjecture as a stronger statement than Khouja's findings with regard to the general relationship among the expected profits of newsvendor models in the sense that the conjecture holds for every order quantity as well as the optimal order quantity. The conjecture encourages the newsvendor facing quantity discounts to safely implement her own discounts policy to customer or accept quantity discounts offered by the supplier even if the optimal order quantity cannot be ordered due to additional restrictions such as budget or warehouse capacity constraints because the newsvendor models with quantity discounts always yield higher expected profit than the classic newsvendor model without quantity discounts regardless of the order quantity. Results from wide experiments with various probability distributions of demand strongly support our conjecture.

• 한국경영과학회지
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• 제31권1호
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• pp.25-36
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• 2006

Consider a supply chain in which a vendor supplies a product to a buyer. We assume that the buyer's and vendor's inventory cost structures are different, resulting in differences in inventory order/delivery cycle times. Here, if one party insists on its individually optimal order/delivery quantity, the other party will suffer from mismatches in cycle times. Under this scenario, coordination contracts that make use of either a Net Term/Two parts Term Trade Credit or a Quantity Discount are designed to align individually optimal order Quantities. We compare and analyze the perform ances of these contracts. The focus of the comparison is the ability of contracts to generate a lower cost for the supply chain. We show that a Trade Credit policy can be effectively used to coordinate a supply chain. In many cases it will result in a lower supply chain cost compared to that achieved by using a Quantitative Discount policy.

• 한국경영과학회지
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• 제40권1호
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• pp.35-55
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• 2015

In this research, we analyze the effects of price discounts and scarcity message (both quantity limitation message and time limitation message) on the purchase intention in the smart-phone environment. The purchase intention becomes higher at high discount rate and with scarcity message (both quantity limitation message and time limitation message). We also analyze the moderating effects of consumer's shopping value and distance between the consumer and the store on the effects of price discounts and scarcity message (both quantity limitation message and time limitation message) on the purchase intention. On average, the effects of price discount, time limitation message and quantity limitation message on the purchase intention become the highest levels for consumers pursuing hedonic shopping value. The effects of price discount, time limitation message and quantity limitation message on the purchase intention become higher when they are offered within a short distance between the coupon provider and the target customer.

• 품질경영학회지
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• 제16권1호
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• pp.78-87
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• 1988

The purpose of this study is to develop the algorithm applicable to the integrated production inventory model under quantity discount. To achieve this purpose, the integrated production inventory model which unifies the inventory problem of raw materials and the finished product for a single product manufacturing system is considered. The product is manufactured in batches and the raw materials are obtained from outside suppliers but some of the raw materials are discounted according to the purchasing quantity. The intergrated production inventory problem considered in this study is formulated by the non-linear mixed integer programming model, and the optimal solution is obtained by using the algorithm developed by Goyal. Then, the algorithm developed by this study is applied to the quantity discount problem, and the optimal solution is revised by this results. The quantity discount algorithm of the integrated production inventory model developed by this study gives a systematic procedure to obtain the optimum policy to minimize the total cost in any case. The numerical example involving 20 raw materials and 5 raw materials among them are discounted according to the purchasing quantity is given to verify the mathematical model and the algorithm developed in this study.

• Management Science and Financial Engineering
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• 제16권3호
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• pp.21-47
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• 2010

Quantity discounts provide a practical foundation for supply chain inventory policies, improving the supplier's profit and reducing the buyer's inventory cost simultaneously. Traditional quantity-discount research, which deals with inventory coordination between a buyer and a supplier, is extended to a stationary stochastic environment. This research shows that the magnitude of the optimal discounts scheduled by the deterministic quantity discount models may not be large enough to cover the buyer's additional inventory stocking risks under uncertain conditions. As a result, the buyer's total inventory cost may often increase rather than decrease. In contrast, the proposed model allows the supplier to identify the discount level, which shares the buyer's amplified risk associated with temporary overstocking and ensures that both buyer and supplier benefit economically. The performance of the proposed model was tested in the continuous review environments via numerical experiments. The experimental results support the proposed method as a feasible alternative in coordinating inventory decisions under stochastic demand.

• 대한안전경영과학회:학술대회논문집
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• 대한안전경영과학회 2005년도 추계학술대회
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• pp.511-515
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• 2005

기업은 고객이 원하는 시기에 원하는 제품을 구매할 수 있도록 항상 준비가 되어 있어야 한다. 고객의 수요를 만족시키기 위하여 기업은 다양한 수요예측방법을 통하여 적절한 재고 수준과 수요예측을 하고 있다. 제조 기업의 경우에는 다른 산업에 비하여 정확한 수요예측과 낮은 재고 수준의 유지가 비용과 직접적인 연관이 있기 때문에 제조 기업은 경제적인 주문량 결정(Economic Order Quantity: EOQ)이 매우 중요한 문제이다. 주문량을 결정하는 방법에는 여러 가지가 있지만, 본 논문에서는 고객 지연을 방지하기 위하여 경제적 주문량 결정에 고객 지연과 관련된 비용을 포함시키는 것은 물론 고객 지연이라는 상황을 방지하는 노력의 한 방법으로 가격 할인(discount system)을 이용하고자 한다. 가격 할인을 이용하여 고객으로 하여금 빠른 주문을 유도하고 그로 인하여 고객 지연 상황의 발생을 줄여보려고 한다.

• 한국경영과학회지
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• 제19권2호
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• pp.45-56
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• 1994

This paper the profit maximizing order quantity model to the symmetric oligopoly consisting of sellers of a homogeneous product who compete with each other for the same potential buyers. Buyers are classified by type, each selecting an optimal purchase quantity in response to the nonlinear quantity discount pricing schedule given by the sellers. Symmetric equilibrium and the economic quantities that sellers must determine are analysed in a Cournot framework, which explicitly depend on the number of sellers. Economic implications are obtianed from the optimality conditions based on themarket share paraments which are used to characterize the competitior's marketing strategy.

• 한국경영과학회지
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• 제19권1호
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• pp.169-187
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• 1994

The efficiency of marketing channel of distribution between a sholesaler and a retailer with uncertain characteristics can be improved by influencing the retailer's ordering pattern. The wholesaler with large unit invetory holding cost can offer a large quantity discount tanks to the great benefit which comes from the transfer of part of his inventory to retailer. The retailer's increasing average inventory holding cost can be offset by the quantity discount and by savings of the ordering cost. Conditions under which marketing channel improvement can be possible are derived.