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    구매종속성이 존재하는 상황에서 주문충족율을 계산하는 근사법에 관한 연구

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    This paper proposes a new approximate approach to calculate the order fill rate and the probability of filling an entire customer order immediately from the shelf in a business environment under purchase dependence characterized by customer purchase patterns observed in such areas as marketing, manufacturing systems, and distribution systems. The new approximate approach divides customer orders into item orders and calculates fill rates of all order types to approximate the order fill rate. We develop a greed iterative search algorithm (GISA) based on the Gauss-Seidel method to avoid dimensionality and prevent the solution divergence for larger instances. Through the computational analysis that compares the GISA with the simulation, we demonstrate that the GISA is a dependable algorithm for deriving the stationary joint distribution of on-hand inventories in the type-K pure system. We also present some managerial insights.
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    This paper proposes a new approximate approach to calculate the order fill rate and the probability of filling an entire customer order immediately from the shelf in a business environment under purchase dependence characterized by customer purchase p...

    This paper proposes a new approximate approach to calculate the order fill rate and the probability of filling an entire customer order immediately from the shelf in a business environment under purchase dependence characterized by customer purchase patterns observed in such areas as marketing, manufacturing systems, and distribution systems. The new approximate approach divides customer orders into item orders and calculates fill rates of all order types to approximate the order fill rate. We develop a greed iterative search algorithm (GISA) based on the Gauss-Seidel method to avoid dimensionality and prevent the solution divergence for larger instances. Through the computational analysis that compares the GISA with the simulation, we demonstrate that the GISA is a dependable algorithm for deriving the stationary joint distribution of on-hand inventories in the type-K pure system. We also present some managerial insights.

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    목차 (Table of Contents)

    • Abstract
    • 1. 서론
    • 2. 문헌고찰
    • 3. 모형 형성
    • 4. GISA 알고리즘
    • Abstract
    • 1. 서론
    • 2. 문헌고찰
    • 3. 모형 형성
    • 4. GISA 알고리즘
    • 5. 수치적 분석
    • 6. 결론
    • 참고문헌
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    참고문헌 (Reference)

    1 박창규, "구매종속성이 존재하는 상황에서 부분 부재고 EOQ 모형에 대한 고찰" 한국경영과학회 32 (32): 65-82, 2015

    2 박창규, "구매종속성이 재고관리에 미치는 영향" 한국경영과학회 30 (30): 17-31, 2013

    3 박창규, "구매 종속성을 고려한 부분 부재고 재고모형" 한국경영과학회 39 (39): 83-100, 2014

    4 Zheng, B., "Two new modified Gauss-Seidel methods for linear system with M-matrices" 233 (233): 922-930, 2009

    5 Niki, H., "The preconditioned Gauss-Seidel method faster than the SOR method" 219 (219): 59-71, 2008

    6 Dayanik, S., "The effectiveness of several performance bounds for capacitated production, partial-order-service, assemble-to-order systems" 5 (5): 230-251, 2003

    7 Morimoto, M., "The Gauss-Seidel iterative method with the preconditioning matrix(I+S +Sm)" 21 (21): 25-34, 2004

    8 Zhou, W., "Stein-Chen approximation and error bounds for order fill rates in assemble-to-order systems" 59 (59): 643-655, 2012

    9 Benjaafar, S., "Production and inventory control of a single product assemble-to-order system with multiple customer classes" 52 (52): 1896-1912, 2006

    10 Song, J.S., "Performance analysis and optimization of assemble-to-order systems with random lead times" 50 (50): 889-903, 2002

    1 박창규, "구매종속성이 존재하는 상황에서 부분 부재고 EOQ 모형에 대한 고찰" 한국경영과학회 32 (32): 65-82, 2015

    2 박창규, "구매종속성이 재고관리에 미치는 영향" 한국경영과학회 30 (30): 17-31, 2013

    3 박창규, "구매 종속성을 고려한 부분 부재고 재고모형" 한국경영과학회 39 (39): 83-100, 2014

    4 Zheng, B., "Two new modified Gauss-Seidel methods for linear system with M-matrices" 233 (233): 922-930, 2009

    5 Niki, H., "The preconditioned Gauss-Seidel method faster than the SOR method" 219 (219): 59-71, 2008

    6 Dayanik, S., "The effectiveness of several performance bounds for capacitated production, partial-order-service, assemble-to-order systems" 5 (5): 230-251, 2003

    7 Morimoto, M., "The Gauss-Seidel iterative method with the preconditioning matrix(I+S +Sm)" 21 (21): 25-34, 2004

    8 Zhou, W., "Stein-Chen approximation and error bounds for order fill rates in assemble-to-order systems" 59 (59): 643-655, 2012

    9 Benjaafar, S., "Production and inventory control of a single product assemble-to-order system with multiple customer classes" 52 (52): 1896-1912, 2006

    10 Song, J.S., "Performance analysis and optimization of assemble-to-order systems with random lead times" 50 (50): 889-903, 2002

    11 Gao, C., "Orderfulfillment performance analysis of an assemble-to-order system with unreliable machines" 126 (126): 341-349, 2010

    12 Song, J.S., "Order-fulfillment performance measures in an assembleto-order system with stochastic lead times" 47 (47): 131-149, 1999

    13 Song, J.S., "Order-based backorders and their implications in multi-item inventory systems" 48 (48): 499-516, 2002

    14 Lu, Y., "Order fill rate, lead time variability, and advance demand information in an assemble-to-order system" 51 (51): 292-308, 2003

    15 Song, J.S., "On the order fill rate in a multiitem, base-stock inventory system" 46 (46): 831-845, 1998

    16 Noutsos, D., "On optimal improvements of classical iterative schemes for Z-matrices" 188 (188): 89-106, 2006

    17 Iravani, S., "On assemble-to-order systems with flexible customers" 35 (35): 389-403, 2003

    18 Hadjidimos, A., "More on modifications and improvements of classical iterative schemes for M-matrices" 364 : 253-279, 2003

    19 Gunawardena, A.D., "Modified iterative methods for consistent linear systems" 154~156 : 123-143, 1991

    20 Kohno, T., "Improving the modified Gauss-Seidel method for Z-matrices" 267 : 113-123, 1997

    21 Milaszewicz, J.P., "Improving Jacobi and Gauss-Seidel iterations" 93 : 161-170, 1987

    22 Song, J.S., "Handbooks in Operations Research and Management Science" North-Holland 561-596, 2003

    23 Ye, J., "Folding algorithm:a computational method for finite QBD processes with level-dependent transitions" 42 (42): 625-639, 1994

    24 Yang, Y., "Discovery of online shopping patterns across websites" 25 (25): 161-176, 2013

    25 Park, C., "Consideration of purchase dependence in inventory management" 66 (66): 274-285, 2013

    26 Vliegen, I.M.H., "Appro-ximate evaluation of order fill rates for an inventory system of service tools" 118 (118): 339-351, 2009

    27 Usui, M., "Adaptive Gauss-Seidel method for linear systems" 51 (51): 119-125, 1994

    28 Kotakemori, H., "Accelerated iterative method for Z-matrices" 75 (75): 87-97, 1996

    29 Hoen, K.M.R., "A simple and accurate approximation for the order fill rates in lostsales assemble-to-order systems" 133 (133): 95-104, 2011

    30 Athappilly, K., "A multi-technique data mining approach to exploring consumer behaviors" 29 (29): 153-163, 2010

    31 Iravani, S., "A general decomposition algorithm for parallel queues with correlated arrivals" 47 (47): 313-344, 2004

    32 Kotakemori, H., "A comparison theorem for the iterative method with the preconditioner(I+Smax)" 145 (145): 373-378, 2002

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    2020-01-01 등재 등재학술지 유지 (재인증) KCI등재
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    기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
    2016 0.66 0.66 0.69
    KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
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