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## Scheduling economic lot sizes in deteriorating production systems (2003)

Venue: | Naval Research Logistics |

Citations: | 2 - 0 self |

### Citations

543 |
Statistical Models and Methods for Lifetime Data.
- Lawless
- 1982
(Show Context)
Citation Context ...hey assumed that the time to shift follows an exponential distribution. Although there has been empirical support for such a distribution, there are circumstances in which it is not adequate (Lawless =-=[23]-=-). For example, owing to aging, the hazard function of the process shift distribution will be more appropriately described by an increasing failure rate (IFR) distribution. Usually when the process sh... |

323 |
Statistical methods for reliability data
- Meeker, Escobar
- 1998
(Show Context)
Citation Context ...r heating elements) and strength of wire bonds in integrated circuits (component strength is often used as an easy-toobtain surrogate measure or indicator of eventual reliability) (Meeker and Escobar =-=[25]-=-). Though the normal distribution has a theoretical range extending to negative numbers, it has been proved to be a useful distribution for certain life data when mean is positive, sufficiently large ... |

245 |
Inventory management and production planning and scheduling, third edition.
- Silver, Pyke, et al.
- 1998
(Show Context)
Citation Context ...e schedule of several products on a single facility so that the demands are met without stockouts, and the long-run average inventory holding and setup costs are minimized (Silver, Pyke, and Peterson =-=[32]-=-). The problem occurs in many production situations (Boctor [3]) such as bottling, metal forming, and plastic production lines (press lines, plastic, and metal extrusion machines), weaving production ... |

73 |
Reliability Engineering,
- Elsayed
- 1996
(Show Context)
Citation Context ... situations where the failure time of components or parts (most of the mechanical components that are subjected to repeat cycle loads) can approximately be described by a normal distribution (Elsayed =-=[7]-=-). Examples include electric filament devices (e.g., incandescent light bulbs and toaster heating elements) and strength of wire bonds in integrated circuits (component strength is often used as an ea... |

23 |
The Economic Lot-Scheduling problem: Achieving Feasibility Using Time-Varying Lot Sizes;
- Dobson
- 1987
(Show Context)
Citation Context ...nder which this approach provides optimal or near-optimal solutions. The relaxation of the equally spaced production runs restriction was initiated by Maxwell [24] and Delporte and Thomas [4]. Dobson =-=[5]-=- developed a formulation of the problem that allows lot sizes and therefore cycle times to vary over time by explicitly taking into account the setup times. Zipkin [33] developed an algorithm to find ... |

19 |
On the General Feasibility Test of scheduling Lot Size for several Products on One Machine; Management science 29; 93-105. 32 Haji, Haji and Ardalan
- Hsu
- 1983
(Show Context)
Citation Context ...rming, and plastic production lines (press lines, plastic, and metal extrusion machines), weaving production lines (for textiles, carpets), paper production, molding and stamping operations, etc. Hsu =-=[17]-=- proved that even a very restricted version of the original problem is NP-hard. Over the past 40 years, the problem and many of its variants have been studied by a large number of researchers. A compr... |

13 |
Controllable production rate in a family production context”
- Moon, Gallego, et al.
- 1991
(Show Context)
Citation Context ...llow production rates to be decision variables. He developed a graphical method for finding the production rates and cycle times for a two-product problem. Silver [31], Moon, Gallego, and Simchi-Levi =-=[27]-=-, Gallego [9], and Khouja [21] showed that production rate reduction is more profitable for under-utilized facilities. Khouja [20] provided a similar extension for systems with high utilization. Galle... |

13 |
Deliberately Slowing Down Output in A Family Production Context.
- Silver
- 1990
(Show Context)
Citation Context ...ics. Allen [1] modified the ELSP to allow production rates to be decision variables. He developed a graphical method for finding the production rates and cycle times for a two-product problem. Silver =-=[31]-=-, Moon, Gallego, and Simchi-Levi [27], Gallego [9], and Khouja [21] showed that production rate reduction is more profitable for under-utilized facilities. Khouja [20] provided a similar extension for... |

12 |
Reduced production rates in the economic lot scheduling problem
- Gallego
- 1993
(Show Context)
Citation Context ...n rates to be decision variables. He developed a graphical method for finding the production rates and cycle times for a two-product problem. Silver [31], Moon, Gallego, and Simchi-Levi [27], Gallego =-=[9]-=-, and Khouja [21] showed that production rate reduction is more profitable for under-utilized facilities. Khouja [20] provided a similar extension for systems with high utilization. Gallego and Moon [... |

12 |
The use of genetic algorithms to solve the economic lot size scheduling problem
- Khouza, Michalewicz, et al.
- 1998
(Show Context)
Citation Context ...one time investment. Hwang, Kim, and Kim [18] and Moon [26] developed an ELSP in which both setup reduction and quality improvement can be achieved through investment. Khouja, Michalewich, and Wilmot =-=[22]-=- and Moon, Silver, and Choi [29] used genetic algorithms (GAs) for solving the ELSP. Moon, Hahm, and Lee [28] applied the stabilization period (during which yield rates gradually increase until they r... |

11 |
Multiproduct economic lot size models with investments costs for setup reduction and quality improvement
- Hwang, Kim, et al.
- 1993
(Show Context)
Citation Context ...dramatic savings are possible for highly utilized facilities. Gallego and Moon [11] developed an ELSP with the assumption that setup times can be reduced by a one time investment. Hwang, Kim, and Kim =-=[18]-=- and Moon [26] developed an ELSP in which both setup reduction and quality improvement can be achieved through investment. Khouja, Michalewich, and Wilmot [22] and Moon, Silver, and Choi [29] used gen... |

9 |
Complexity of the ELSP with general cyclic schedules".
- Gallego, Shaw
- 1997
(Show Context)
Citation Context ...imes for each product taking the production sequence of Dobson [5] as given. Gallego and Roundy [12] extended the time-varying lot sizes approach to the ELSP which allows backorders. Gallego and Shaw =-=[13]-=- showed that the ELSP is strongly NP-hard under the time-varying lot sizes approach, giving theoretical justification of the development of the heuristics. Allen [1] modified the ELSP to allow product... |

8 |
When is the Economic Lot Scheduling Problem Easy?;
- Jones, Inmann
- 1989
(Show Context)
Citation Context ...to be equal then the approach is known as Common Cycle (CC) approach (Haessler and Hogue [14] and Hanssmann [15]). The guarantee of feasibility is the main advantage of this approach. Jones and Inman =-=[19]-=- and Gallego [8] provided a detailed analysis of conditions under which this approach provides optimal or near-optimal solutions. The relaxation of the equally spaced production runs restriction was i... |

8 |
Multiproduct economic lot size models with investment costs for setup reduction and quality improvement: review and extensions
- Moon
- 1994
(Show Context)
Citation Context ...gs are possible for highly utilized facilities. Gallego and Moon [11] developed an ELSP with the assumption that setup times can be reduced by a one time investment. Hwang, Kim, and Kim [18] and Moon =-=[26]-=- developed an ELSP in which both setup reduction and quality improvement can be achieved through investment. Khouja, Michalewich, and Wilmot [22] and Moon, Silver, and Choi [29] used genetic algorithm... |

7 |
Economic lot scheduling problem with imperfect production processes".
- Ben-Daya, Hariga
- 2000
(Show Context)
Citation Context ... and infinite time horizon. However, owing to aging, many production processes deteriorate from “in-control” state to “out-of-control” state and produce defective items. Recently, Ben-Daya and Hariga =-=[2]-=- studied the effects of imperfect production processes on the ELSP. They assumed negligible setup times for the products and developed a mathematical model under the common cycle approach taking into ... |

7 |
Hybrid genetic algorithm for the economic lot-scheduling problem
- Moon, Silver, et al.
- 2002
(Show Context)
Citation Context ... and Kim [18] and Moon [26] developed an ELSP in which both setup reduction and quality improvement can be achieved through investment. Khouja, Michalewich, and Wilmot [22] and Moon, Silver, and Choi =-=[29]-=- used genetic algorithms (GAs) for solving the ELSP. Moon, Hahm, and Lee [28] applied the stabilization period (during which yield rates gradually increase until they reach the target rates) concept t... |

6 |
Note: the economic manufacturing lot-sizing problem with imperfect production processes: bounds and optimal solutions
- Hariga, Ben-Daya
- 1998
(Show Context)
Citation Context ...tion processes. In fact, when the production is in progress, it may be impossible or expensive to interrupt the process or even it may not be possible to detect the failure point (Hariga and Ben-Daya =-=[16]-=-). However, at the end of each production run, if the machine is found to be in an “out-of-control” state, a repair (corrective maintenance) is performed in order to restore the process to an “in-cont... |

5 |
Production rate planning for two products sharing a single process facility: a real world case study".
- Allen
- 1990
(Show Context)
Citation Context ...lows backorders. Gallego and Shaw [13] showed that the ELSP is strongly NP-hard under the time-varying lot sizes approach, giving theoretical justification of the development of the heuristics. Allen =-=[1]-=- modified the ELSP to allow production rates to be decision variables. He developed a graphical method for finding the production rates and cycle times for a two-product problem. Silver [31], Moon, Ga... |

5 |
The G-group heuristic for single machine lot scheduling
- Boctor
- 1987
(Show Context)
Citation Context ...demands are met without stockouts, and the long-run average inventory holding and setup costs are minimized (Silver, Pyke, and Peterson [32]). The problem occurs in many production situations (Boctor =-=[3]-=-) such as bottling, metal forming, and plastic production lines (press lines, plastic, and metal extrusion machines), weaving production lines (for textiles, carpets), paper production, molding and st... |

5 |
The Economic Lot scheduling Problem: Review and Extensions",
- Elmaghraby
- 1978
(Show Context)
Citation Context ...ts have been studied by a large number of researchers. A comprehensive review on the ELSP until the late seventies can Correspondence to: I. Moon © 2003 Wiley Periodicals, Inc. be found in Elmaghraby =-=[6]-=-. The recent developments on the ELSP are well cited in Silver, Pyke, and Peterson [32]. In the literature, research in the ELSP has focused on cycle schedules, i.e., schedules that are repeated perio... |

5 |
Rounding off to powers of two in continuous relaxation of capacitated lot sizing problems, Manage Sci 35
- Roundy
- 1989
(Show Context)
Citation Context ...and a continuous part (the determination of t, w, and T). In the combinatorial part, the production frequencies are determined and are rounded off to power-of-two integers by using Roundy’s algorithm =-=[30]-=-. The items are then bin packed with respect to the frequencies and average loads, resulting in a production sequence. The continuous part takes the production sequence as given and computes the actua... |

5 |
Computing Optimal Lot Sizes in The Economic Lot Scheduling Problem; Working Paper, graduate
- Zipkin
- 1988
(Show Context)
Citation Context ... Delporte and Thomas [4]. Dobson [5] developed a formulation of the problem that allows lot sizes and therefore cycle times to vary over time by explicitly taking into account the setup times. Zipkin =-=[33]-=- developed an algorithm to find the production run times and machine idle times for each product taking the production sequence of Dobson [5] as given. Gallego and Roundy [12] extended the time-varyin... |

4 |
An extension to the class of easy economic lot scheduling problem easy
- Gallego
- 1990
(Show Context)
Citation Context ...the approach is known as Common Cycle (CC) approach (Haessler and Hogue [14] and Hanssmann [15]). The guarantee of feasibility is the main advantage of this approach. Jones and Inman [19] and Gallego =-=[8]-=- provided a detailed analysis of conditions under which this approach provides optimal or near-optimal solutions. The relaxation of the equally spaced production runs restriction was initiated by Maxw... |

4 |
The effect of externalizing setups in the economic lot scheduling problem
- Gallego, Moon
- 1992
(Show Context)
Citation Context ...], and Khouja [21] showed that production rate reduction is more profitable for under-utilized facilities. Khouja [20] provided a similar extension for systems with high utilization. Gallego and Moon =-=[10]-=- examined a multiple product factory that employs a cyclic schedule to minimize holding and setup costs. When setup times are reduced, at the expense of setup costs, by externalizing internal setup op... |

4 |
Strategic investment to reduce setup times in the economic lot scheduling problem
- Gallego, Moon
- 1995
(Show Context)
Citation Context ...hen setup times are reduced, at the expense of setup costs, by externalizing internal setup operations, they showed that dramatic savings are possible for highly utilized facilities. Gallego and Moon =-=[11]-=- developed an ELSP with the assumption that setup times can be reduced by a one time investment. Hwang, Kim, and Kim [18] and Moon [26] developed an ELSP in which both setup reduction and quality impr... |

3 |
A note on the single-machine multi-product lot scheduling problem, Manage Sci 22
- Haessler, Hogue
- 1976
(Show Context)
Citation Context ...ated periodically regardless of the sequence of production. If the cycle times for all products are restricted to be equal then the approach is known as Common Cycle (CC) approach (Haessler and Hogue =-=[14]-=- and Hanssmann [15]). The guarantee of feasibility is the main advantage of this approach. Jones and Inman [19] and Gallego [8] provided a detailed analysis of conditions under which this approach pro... |

3 |
A note on 'deliberately slowing down output in a family production context'".
- Khouja
- 1999
(Show Context)
Citation Context ...cision variables. He developed a graphical method for finding the production rates and cycle times for a two-product problem. Silver [31], Moon, Gallego, and Simchi-Levi [27], Gallego [9], and Khouja =-=[21]-=- showed that production rate reduction is more profitable for under-utilized facilities. Khouja [20] provided a similar extension for systems with high utilization. Gallego and Moon [10] examined a mu... |

3 |
The e ect of the stabilization period on the economic lot scheduling problem
- Moon, Hahm, et al.
- 1998
(Show Context)
Citation Context ...nd quality improvement can be achieved through investment. Khouja, Michalewich, and Wilmot [22] and Moon, Silver, and Choi [29] used genetic algorithms (GAs) for solving the ELSP. Moon, Hahm, and Lee =-=[28]-=- applied the stabilization period (during which yield rates gradually increase until they reach the target rates) concept to the ELSP. All the above research efforts assume that the production process... |

2 |
Lot sizing and sequencing for n products on one facility, Management Science
- Delporte, Thomas
- 1977
(Show Context)
Citation Context ...conditions under which this approach provides optimal or near-optimal solutions. The relaxation of the equally spaced production runs restriction was initiated by Maxwell [24] and Delporte and Thomas =-=[4]-=-. Dobson [5] developed a formulation of the problem that allows lot sizes and therefore cycle times to vary over time by explicitly taking into account the setup times. Zipkin [33] developed an algori... |

2 |
Operations research in production and inventory control
- Hanssmann
- 1962
(Show Context)
Citation Context ...egardless of the sequence of production. If the cycle times for all products are restricted to be equal then the approach is known as Common Cycle (CC) approach (Haessler and Hogue [14] and Hanssmann =-=[15]-=-). The guarantee of feasibility is the main advantage of this approach. Jones and Inman [19] and Gallego [8] provided a detailed analysis of conditions under which this approach provides optimal or ne... |

2 |
The economic lot scheduling problem under volume flexibility
- Khouja
- 1997
(Show Context)
Citation Context ...or a two-product problem. Silver [31], Moon, Gallego, and Simchi-Levi [27], Gallego [9], and Khouja [21] showed that production rate reduction is more profitable for under-utilized facilities. Khouja =-=[20]-=- provided a similar extension for systems with high utilization. Gallego and Moon [10] examined a multiple product factory that employs a cyclic schedule to minimize holding and setup costs. When setu... |

1 |
The extended economic lot scheduling problem, Nav Res Logistics 39
- Gallego, Roundy
- 1992
(Show Context)
Citation Context ... the setup times. Zipkin [33] developed an algorithm to find the production run times and machine idle times for each product taking the production sequence of Dobson [5] as given. Gallego and Roundy =-=[12]-=- extended the time-varying lot sizes approach to the ELSP which allows backorders. Gallego and Shaw [13] showed that the ELSP is strongly NP-hard under the time-varying lot sizes approach, giving theo... |

1 |
The scheduling of economic lot sizes, Nav Res Logistics Quart 11
- Maxwell
- 1964
(Show Context)
Citation Context ...vided a detailed analysis of conditions under which this approach provides optimal or near-optimal solutions. The relaxation of the equally spaced production runs restriction was initiated by Maxwell =-=[24]-=- and Delporte and Thomas [4]. Dobson [5] developed a formulation of the problem that allows lot sizes and therefore cycle times to vary over time by explicitly taking into account the setup times. Zip... |