Calculating safety stocks for assembly systems with random component procurement lead times: A branch and bound algorithm

Louly, Mohamed Aly Ould; Dolgui, Alexandre

doi:10.1016/j.ejor.2007.11.066

Cited by 34 publications

(23 citation statements)

References 24 publications

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“…Indeed, the first of the two dominance properties (i) is exactly the same as that shown in Louly and Dolgui (2008) for a similar problem. The second dominance property (ii) can be easily adapted from that already proved in Louly and Dolgui (2008).…”

Section: Dominance Propertiessupporting

confidence: 53%

“…In previous work (Louly and Dolgui 2008), in which only holding costs with the service level constraint were studied, we proved that for the increment functions similar to (14) and (15):…”

Section: Lower Bounds On the Objective Functionmentioning

confidence: 74%

“…The second dominance property (ii) can be easily adapted from that already proved in Louly and Dolgui (2008). In fact, this earlier dominance property took into account an additional condition: respecting the service level constraint.…”

Section: Dominance Propertiesmentioning

confidence: 96%

“…The proof of these two bounds is similar to that found in Louly and Dolgui (2008). An additional lower bound can be defined as follows.…”

Section: Lower Bounds On the Objective Functionmentioning

confidence: 96%

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Optimal supply planning in MRP environments for assembly systems with random component procurement times

Louly

Dolgui

Hnaien

2008

International Journal of Production Research

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This paper examines supply planning in an MRP environment for assembly systems under lead time uncertainties. Indeed, inventory control in a supply chain is crucial for companies who wish to satisfy their customer demands on time as well as controlling costs. A common approach is to use the MRP techniques. However, these techniques are based on the supposition that lead times are known. In an actual supply chain the lead times are often random variables. Therefore, we develop an efficient exact model to aid in MRP parameterization under lead time uncertainties, more precisely to calculate planned lead times when the component procurement times are random. The aim is to find the values of planned lead times which minimize the sum of the average component holding cost and the average backlogging cost. The developed approach is based on a mathematical model of this problem with discrete decision variables and a branch and bound algorithm.

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Section: Dominance Propertiessupporting

confidence: 53%

“…In previous work (Louly and Dolgui 2008), in which only holding costs with the service level constraint were studied, we proved that for the increment functions similar to (14) and (15):…”

Section: Lower Bounds On the Objective Functionmentioning

confidence: 74%

Section: Dominance Propertiesmentioning

confidence: 96%

“…The proof of these two bounds is similar to that found in Louly and Dolgui (2008). An additional lower bound can be defined as follows.…”

Section: Lower Bounds On the Objective Functionmentioning

confidence: 96%

See 2 more Smart Citations

Optimal supply planning in MRP environments for assembly systems with random component procurement times

Louly

Dolgui

Hnaien

2008

International Journal of Production Research

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“…Note that this horizontal interaction is one of the fundamental features in the assembly system, which is caused by the complementary characteristics of the components (Gerchak and Wang 2004;Granot and Yin 2008;Louly and Dolgui 2009;Jiang and Wang 2010). For this issue, Wang and Gerchak (2003) first analyse the capacity game in a decentralised assembly system and the horizontal decentralisation between the two suppliers.…”

Section: Related Literaturementioning

confidence: 98%

The implication of vendor inventory liability period in a decentralised assembly system

Guan

Sethi

2015

International Journal of Production Research

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This paper investigates a decentralised assembly system that consists of one manufacturer and multiple suppliers who produce the complementary components. In a single selling season, the manufacturer initially sets a vendor inventory liability period (VILP) to control the suppliers' delivery times, and the suppliers simultaneously determine when to deliver their components. Given the firms' equilibrium strategies, we find that it is not wise for the manufacturer to set an overly long VILP, since having no inventory is not always beneficial to the manufacturer. A supplier may choose to postpone his delivery when the length of the VILP increases or the other suppliers' deliveries are delayed, and either of these conditions is detrimental to the supplier's profitability. We also examine the impact of VILP under different situations and find that having VILPs customised for different suppliers can reduce the manufacturer's cost as well as improve the supply chain's overall efficiency.

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Supply Chain Management Under Uncertainties: Lot-sizing and Scheduling Rules

Dolgui

Grimaud

Shchamialiova

2010

Springer Series in Advanced Manufacturing

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Calculating safety stocks for assembly systems with random component procurement lead times: A branch and bound algorithm

Cited by 34 publications

References 24 publications

Optimal supply planning in MRP environments for assembly systems with random component procurement times

Optimal supply planning in MRP environments for assembly systems with random component procurement times

The implication of vendor inventory liability period in a decentralised assembly system

Supply Chain Management Under Uncertainties: Lot-sizing and Scheduling Rules

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