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## Joint Replenishment Problem for Single Buyer and Single Supplier System Having the Stochastic Demands

### Citations

61 |
Economic production cycles with imperfect production processes;
- Resenblatt, Lee
- 1986
(Show Context)
Citation Context ...ntroduce an algorithm with superior performance. Jackson et al.s[9] introduced a power-of-two policy and demonstrated that the policy’s error was within sixspercent of the optimum. Rosenblatt and Lee =-=[20]-=-sdiscussed a JRP in a system with imperfect production processes. Fogarty and Barringer [5] analyzed joint order release decisions under dependent demand. Viswanathan [25] proposed asmodification of t... |

28 |
A simple method of determining order quantities in joint replenishments under deterministic demand“,
- Silver
- 1976
(Show Context)
Citation Context ...gorized into two groups. The first group ofsresearch concerns the JRP under a deterministicsdemand. Goyal [7] developed an enumeration algorithm to find the global optimum for a cyclicspolicy. Silver =-=[21]-=- developed an efficient heuristicsalgorithm that was later improved by Goyal andsBelton [8]. Kaspi and Rosenblatt [12] studied asJRP with similar settings to introduce an algorithm with superior perfo... |

26 |
A heuristic solution procedure for the multi-item, single-level, limited capacity, lot-sizing problem
- Dixon, Silver
- 1981
(Show Context)
Citation Context ...ventory position reaches a must-order level.sAt the same time, all other items whose inventory positions are at or below a can-orderslevel are also ordered. This policy was furthersanalyzed by Silver =-=[22]-=- and Federgruen et al. [4].sOhno and Ishigaki [19], Melchiors [17], andsNielsen and Larsen [18] analyzed a JRP with asPoisson or compound Poisson process. Later,sLarsen [15] suggested a Q(s, S) policy... |

20 |
A review of the joint replenishment problem literature: 1989–2005,”European
- Khouja, Goyal
- 2008
(Show Context)
Citation Context .... [14] proposed an algorithmsfor solving the JRP for products that may experience unit cost change. For a general survey ofsthe JRP including the deterministic demand cases, refer to Khouja and Goyal =-=[13]-=-. The second group of research pertains to stochastic but stationary demands. The policies insthis group can be divided into two sub-groups： continuous review policy and periodic reviewspolicy. Balint... |

18 | Coordinated replenishments in a multi-item inventory system with compound Poisson demands - Federgruen, Groenevelt, et al. - 1984 |

16 |
The joint replenishment problem with a powers-oftwo restriction
- Jackson, Maxwell, et al.
- 1985
(Show Context)
Citation Context ... heuristicsalgorithm that was later improved by Goyal andsBelton [8]. Kaspi and Rosenblatt [12] studied asJRP with similar settings to introduce an algorithm with superior performance. Jackson et al.s=-=[9]-=- introduced a power-of-two policy and demonstrated that the policy’s error was within sixspercent of the optimum. Rosenblatt and Lee [20]sdiscussed a JRP in a system with imperfect production processe... |

15 |
Periodic versus can-order policies for coordinated multi-item inventory systems
- Atkins, Iyogun
- 1988
(Show Context)
Citation Context ...ompound correlated Poisson process.sThe periodic review policies review inventorysstatus at every deterministic interval or at a stochastic interval determined by cumulative demand.sAtkins and Iyogun =-=[1]-=- proposed two policies. Thesfirst policy orders each item type to be replenished up to an individual base stock level. Insthe second policy, each item is replenished at ansinterval that is an integer ... |

14 |
On a basis class of multi-items inventory problems.
- Balintfy
- 1964
(Show Context)
Citation Context ...he second group of research pertains to stochastic but stationary demands. The policies insthis group can be divided into two sub-groups： continuous review policy and periodic reviewspolicy. Balintfy =-=[2]-=- initiated research on the continuous policy by proposing a can-order policy.sUnder this policy, an item must be ordered whensits inventory position reaches a must-order level.sAt the same time, all o... |

14 |
On optimal algorithms for the joint replenishment problem,” The Journal of the Operational Research Society
- Viswanathan
(Show Context)
Citation Context ... optimum. Rosenblatt and Lee [20]sdiscussed a JRP in a system with imperfect production processes. Fogarty and Barringer [5] analyzed joint order release decisions under dependent demand. Viswanathan =-=[25]-=- proposed asmodification of the previous algorithm suggestedsby Fung and Ma [6] and ensured that the modified algorithm obtained the optimal strict cyclespolicy. Lee and Yao [16] derived a global opti... |

12 |
An improvement of silver’s algorithm for the joint replenishment problem
- Kaspi, Rosenblatt
(Show Context)
Citation Context ...d an enumeration algorithm to find the global optimum for a cyclicspolicy. Silver [21] developed an efficient heuristicsalgorithm that was later improved by Goyal andsBelton [8]. Kaspi and Rosenblatt =-=[12]-=- studied asJRP with similar settings to introduce an algorithm with superior performance. Jackson et al.s[9] introduced a power-of-two policy and demonstrated that the policy’s error was within sixspe... |

10 |
A simple method of determining order quantities in joint replenishments for deterministic demand“,
- Goyal, Belton
- 1979
(Show Context)
Citation Context ...demand. Goyal [7] developed an enumeration algorithm to find the global optimum for a cyclicspolicy. Silver [21] developed an efficient heuristicsalgorithm that was later improved by Goyal andsBelton =-=[8]-=-. Kaspi and Rosenblatt [12] studied asJRP with similar settings to introduce an algorithm with superior performance. Jackson et al.s[9] introduced a power-of-two policy and demonstrated that the polic... |

10 |
A global optimum search algorithm for the joint replenishment problem under power-of-two policy
- Lee, Yao
- 2003
(Show Context)
Citation Context ...t demand. Viswanathan [25] proposed asmodification of the previous algorithm suggestedsby Fung and Ma [6] and ensured that the modified algorithm obtained the optimal strict cyclespolicy. Lee and Yao =-=[16]-=- derived a global optimum search algorithm under the power-of-twospolicy. Khouja et al. [14] proposed an algorithmsfor solving the JRP for products that may experience unit cost change. For a general ... |

8 |
Effective and simple EOQlike solutions for stochastic demand periodic review systems,”
- Eynan, Kropp
- 2007
(Show Context)
Citation Context ...n-order policy applicable to a pe확률적 수요를 갖는 단일구매자와 단일공급자 시스템의 다품목 통합발주문제 1s93 riodic review environment and showed that thespolicy performed well under conditions of irregular demand. Eynan and Kropp =-=[3]-=- examined a periodic review system with variable out of stock costs.sThey proposed a simple heuristic for determiningsboth the base cycle and order interval of eachsproduct type, as well as a service ... |

8 |
A new method for joint replenishment problems,” The
- Fung, Ma
(Show Context)
Citation Context ...duction processes. Fogarty and Barringer [5] analyzed joint order release decisions under dependent demand. Viswanathan [25] proposed asmodification of the previous algorithm suggestedsby Fung and Ma =-=[6]-=- and ensured that the modified algorithm obtained the optimal strict cyclespolicy. Lee and Yao [16] derived a global optimum search algorithm under the power-of-twospolicy. Khouja et al. [14] proposed... |

4 |
Periodic review(s, S) policies for joint replenishment inventory systems
- Viswanathan
- 1997
(Show Context)
Citation Context ...y orders each item type to be replenished up to an individual base stock level. Insthe second policy, each item is replenished at ansinterval that is an integer multiple of a base period. Visnawathan =-=[24]-=- developed a policy calledsthe Q(s, S) policy, in which each item is reviewedsat a fixed interval, and an independent order-sup-to-level policy is used to control each itemstype. Johansen and Melchior... |

3 |
Joint replenishment problem under continuous unit cost change
- Khouja, Park, et al.
(Show Context)
Citation Context ...ng and Ma [6] and ensured that the modified algorithm obtained the optimal strict cyclespolicy. Lee and Yao [16] derived a global optimum search algorithm under the power-of-twospolicy. Khouja et al. =-=[14]-=- proposed an algorithmsfor solving the JRP for products that may experience unit cost change. For a general survey ofsthe JRP including the deterministic demand cases, refer to Khouja and Goyal [13]. ... |

2 |
Joint order release decisions under dependent demand
- Fogarty, Barringer
(Show Context)
Citation Context ...o policy and demonstrated that the policy’s error was within sixspercent of the optimum. Rosenblatt and Lee [20]sdiscussed a JRP in a system with imperfect production processes. Fogarty and Barringer =-=[5]-=- analyzed joint order release decisions under dependent demand. Viswanathan [25] proposed asmodification of the previous algorithm suggestedsby Fung and Ma [6] and ensured that the modified algorithm ... |

2 |
Can-order policy for the periodic-review joint replenishment problem
- Johansen, Melchiors
(Show Context)
Citation Context ...eveloped a policy calledsthe Q(s, S) policy, in which each item is reviewedsat a fixed interval, and an independent order-sup-to-level policy is used to control each itemstype. Johansen and Melchiors =-=[11]-=- suggested asnear-optimal can-order policy applicable to a pe확률적 수요를 갖는 단일구매자와 단일공급자 시스템의 다품목 통합발주문제 1s93 riodic review environment and showed that thespolicy performed well under conditions of irregu... |

2 |
The Q(s, S) control policy for the joint replenishment problem extended to the case of correlation among item-demands
- Larsen
- 2009
(Show Context)
Citation Context ...furthersanalyzed by Silver [22] and Federgruen et al. [4].sOhno and Ishigaki [19], Melchiors [17], andsNielsen and Larsen [18] analyzed a JRP with asPoisson or compound Poisson process. Later,sLarsen =-=[15]-=- suggested a Q(s, S) policy for a system with a compound correlated Poisson process.sThe periodic review policies review inventorysstatus at every deterministic interval or at a stochastic interval de... |

2 |
Calculating can-order policies for the joint replenishment problem by the compensation approach
- Melchiors
- 2002
(Show Context)
Citation Context ... other items whose inventory positions are at or below a can-orderslevel are also ordered. This policy was furthersanalyzed by Silver [22] and Federgruen et al. [4].sOhno and Ishigaki [19], Melchiors =-=[17]-=-, andsNielsen and Larsen [18] analyzed a JRP with asPoisson or compound Poisson process. Later,sLarsen [15] suggested a Q(s, S) policy for a system with a compound correlated Poisson process.sThe peri... |

2 |
An analytical study of the Q(s, S) policy applied to the joint replenishment problem
- Nielsen, Larsen
(Show Context)
Citation Context ...positions are at or below a can-orderslevel are also ordered. This policy was furthersanalyzed by Silver [22] and Federgruen et al. [4].sOhno and Ishigaki [19], Melchiors [17], andsNielsen and Larsen =-=[18]-=- analyzed a JRP with asPoisson or compound Poisson process. Later,sLarsen [15] suggested a Q(s, S) policy for a system with a compound correlated Poisson process.sThe periodic review policies review i... |

2 |
A multi-item continuous review inventory system with compound Poisson demand
- Ohno, Ishigaki
(Show Context)
Citation Context ...e same time, all other items whose inventory positions are at or below a can-orderslevel are also ordered. This policy was furthersanalyzed by Silver [22] and Federgruen et al. [4].sOhno and Ishigaki =-=[19]-=-, Melchiors [17], andsNielsen and Larsen [18] analyzed a JRP with asPoisson or compound Poisson process. Later,sLarsen [15] suggested a Q(s, S) policy for a system with a compound correlated Poisson p... |

1 |
Determination of optimum pac확률적 수요를 갖는 단일구매자와 단일공급자 시스템의 다품목 통합발주문제 1 103 kaging frequency of items jointly replenished
- Goyal
- 1974
(Show Context)
Citation Context ...elivers them atsthe beginning of each period.sPrevious research related to the JRP can bescategorized into two groups. The first group ofsresearch concerns the JRP under a deterministicsdemand. Goyal =-=[7]-=- developed an enumeration algorithm to find the global optimum for a cyclicspolicy. Silver [21] developed an efficient heuristicsalgorithm that was later improved by Goyal andsBelton [8]. Kaspi and Ro... |

1 |
Joint replenishment problem for a retailing system with stochastic demands
- Jeong, Kim
- 2010
(Show Context)
Citation Context ... and order interval of eachsproduct type, as well as a service level that minimizes the total cost. The heuristic they proposedswas shown to find a solution close to the globalsoptimum. Jeong and Kim =-=[10]-=- presented a modelsand solution methodology for the same problem. The present paper extends the paper by Jeongsand Kim [10] to solve a problem similar to thesone analyzed by Eynan and Kropp [3] but wi... |