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    Applying Genetic Algorithm for Can-Order Policies in the Joint Replenishment Problem

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    https://www.riss.kr/link?id=A100410562

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    In this paper, we consider multi-item inventory management. When managing a multi-item inventory, we coordinate replenishment orders of items supplied by the same supplier. The associated problem is called the joint replenishment problem (JRP). One often-used approach to the JRP is to apply a can-order policy. Under a can-order policy, some items are re-ordered when their inventory level drops to or below their re-order level, and any other item with an inventory level at or below its can-order level can be included in this order. In the present paper, we propose a method for finding the optimal parameter of a can-order policy, the can-order level, for each item in a lost-sales model. The main objectives in our model are minimizing the number of ordering, inventory, and shortage (i.e., lost-sales) respectively, compared with the conventional JRP, in which the objective is to minimize total cost. In order to solve this multi-objective optimization problem, we apply a genetic algorithm. In a numerical experiment using actual shipment data, we simulate the proposed model and compare the results with those of other methods.
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    In this paper, we consider multi-item inventory management. When managing a multi-item inventory, we coordinate replenishment orders of items supplied by the same supplier. The associated problem is called the joint replenishment problem (JRP). One of...

    In this paper, we consider multi-item inventory management. When managing a multi-item inventory, we coordinate replenishment orders of items supplied by the same supplier. The associated problem is called the joint replenishment problem (JRP). One often-used approach to the JRP is to apply a can-order policy. Under a can-order policy, some items are re-ordered when their inventory level drops to or below their re-order level, and any other item with an inventory level at or below its can-order level can be included in this order. In the present paper, we propose a method for finding the optimal parameter of a can-order policy, the can-order level, for each item in a lost-sales model. The main objectives in our model are minimizing the number of ordering, inventory, and shortage (i.e., lost-sales) respectively, compared with the conventional JRP, in which the objective is to minimize total cost. In order to solve this multi-objective optimization problem, we apply a genetic algorithm. In a numerical experiment using actual shipment data, we simulate the proposed model and compare the results with those of other methods.

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    목차 (Table of Contents)

    • ABSTRACT
    • 1. INTRODUCTION
    • 2. PROBLEM FORMULATION
    • 3. IMPLEMENTATION OF GENETIC ALGORITHM (GA)
    • 4. EXPERIMENT AND RESULTS
    • ABSTRACT
    • 1. INTRODUCTION
    • 2. PROBLEM FORMULATION
    • 3. IMPLEMENTATION OF GENETIC ALGORITHM (GA)
    • 4. EXPERIMENT AND RESULTS
    • 5. CONCLUSIONS
    • REFERENCES
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    참고문헌 (Reference)

    1 Moon, I. K., "The joint replenishment problem with resource restriction" 173 (173): 190-198, 2006

    2 Gray, F., "Pulse Code Communication, United States Patent Number 2621058"

    3 Atkins, D. R., "Periodic versus ‘can-order’ policies for coordinated multi-item inventory systems" 34 : 791-796, 1988

    4 Yang, W., "Optimizing replenishment polices using Genetic Algorithm for single-warehouse multi-retailer system" 39 : 3081-3086, 2012

    5 Kaspi, M, "On the economic ordering quantity for jointly replenishment items" 29 : 107-114, 1991

    6 van Eijs, M. J., "On the determination of the control parameters of the optimal can-order policy" 39 : 289-304, 1994

    7 Balintfy, J. L., "On a basic class of multi-item inventory problems" 10 : 287-297, 1964

    8 Goyal, S. K., "Joint replenishment inventory control : Deterministic and stochastic models" 38 : 2-13, 1989

    9 Dellaert, N., "Global inventory control in an academic hospital" 46 : 277-284, 1996

    10 Chan, L. M. A., "Effective zero-inventory-ordering policies for the single-warehouse multi retailer problem with piecewise linear cost structures" 48 : 1446-1460, 2002

    1 Moon, I. K., "The joint replenishment problem with resource restriction" 173 (173): 190-198, 2006

    2 Gray, F., "Pulse Code Communication, United States Patent Number 2621058"

    3 Atkins, D. R., "Periodic versus ‘can-order’ policies for coordinated multi-item inventory systems" 34 : 791-796, 1988

    4 Yang, W., "Optimizing replenishment polices using Genetic Algorithm for single-warehouse multi-retailer system" 39 : 3081-3086, 2012

    5 Kaspi, M, "On the economic ordering quantity for jointly replenishment items" 29 : 107-114, 1991

    6 van Eijs, M. J., "On the determination of the control parameters of the optimal can-order policy" 39 : 289-304, 1994

    7 Balintfy, J. L., "On a basic class of multi-item inventory problems" 10 : 287-297, 1964

    8 Goyal, S. K., "Joint replenishment inventory control : Deterministic and stochastic models" 38 : 2-13, 1989

    9 Dellaert, N., "Global inventory control in an academic hospital" 46 : 277-284, 1996

    10 Chan, L. M. A., "Effective zero-inventory-ordering policies for the single-warehouse multi retailer problem with piecewise linear cost structures" 48 : 1446-1460, 2002

    11 Goyal, S. K., "Determination of optimum packaging frequency of items jointly replenished" 21 : 436-443, 1974

    12 Liu, L., "Coordinated replenishments in inventory systems with correlated demands" 123 : 490-503, 2000

    13 Federgruen, A., "Coordinated replenishments in a multi-item inventory system with compound Poisson demands" 30 : 344-357, 1984

    14 Johansen, S. G, "Can-order policy for the periodic review joint replenishment problem" 54 : 283-290, 2003

    15 Melchiors, P., "Calculating can-order polices for the joint replenishment problem by the compensation approach" 141 : 587-595, 2002

    16 Andre, J., "An improvement of the standard genetic algorithm fighting premature convergence in continuous optimization" 32 : 49-60, 2001

    17 Wang, L., "An effective and efficient differential evolution algorithm for the integrated stochastic joint replenishment and delivery model" 36 : 104-114, 2012

    18 Tsai, C. Y., "An association clustering algorithm for can-order policies in the joint replenishment problem" 117 : 30-41, 2009

    19 Silver, E., "A simple method of determining order quantities in joint replenishments under deterministic demand" 22 : 1351-1361, 1976

    20 Moutaz, K., "A review of the joint replenishment problem literature : 1989-2005" 186 : 1-16, 2008

    21 Wang, L., "A novel differential evolution algorithm for joint replenishment problem under interdependence and its application" 135 : 190-198, 2012

    22 Kayiş, E., "A note on the can-order policy for the two-item stochastic joint-replenishment problem" 40 : 84-92, 2008

    23 Amaya, C. A., "A heuristic framework based on linear programming to solve the constrained joint replenishment problem(C-JRP)" 144 : 243-247, 2013

    24 Pantumsinchai, P., "A comparison of three joint ordering inventory policies" 23 : 111-127, 1992

    25 Khouja, M., "A comparison between genetic algorithms and the RAND method for solving the joint replenishment problem" 11 : 556-564, 2000

    26 Zhao, P., "A New Clustering Algorithm for Can-order Policies in Joint Replenishment Problem" 7 : 1943-1950, 2011

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