Optimal production plans and shipment schedules in a supply-chain system with multiple suppliers and multiple buyers

Sarker, Bhaba R.; Diponegoro, Ahmad

doi:10.1016/j.ejor.2008.01.025

Cited by 57 publications

(24 citation statements)

References 38 publications

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“…Scheduling is one of the most popular and well-grounded research areas in OR, production, logistics and SCM (e.g., Poirier 2003;Potts and Whitehead 2007;Proth 2006;Chen and Pundoor 2006;Chauhan et al 2007;Sarker et al 2009). …”

Section: State Of the Artmentioning

confidence: 99%

Dynamic supply chain scheduling

Ivanov

Sokolov

2010

J Sched

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Based on a combination of fundamental results of modern optimal program control theory and operations research, an original approach to supply chain scheduling is developed in order to answer the challenges of dynamics, uncertainty, and adaptivity. Both supply chain schedule generation and execution control are represented as an optimal program control problem in combination with mathematical programming and interpreted as a dynamic process of operations control within an adaptive framework. Hence, the problems and models of planning, scheduling, and adaptation can be consistently integrated on a unified mathematical axiomatic of modern control theory. In addition, operations control and flow control models are integrated and applicable for both discrete and continuous processes. The application of optimal control for supply chain scheduling becomes possible by formulating the scheduling model as a linear non-stationary finite-dimensional controlled differential system with the convex area of admissible control and a reconfigurable structure. For this model class, theorems of optimal control existence can be used regarding supply chain scheduling. The essential structural property of this model are the linear right parts of differential equations. This allows applying methods of discrete optimization for opti-D. Ivanov ( ) mal control calculation. The calculation procedure is based on applying Pontryagin's maximum principle and the resulting essential reduction of problem dimensionality that is under solution at each instant of time. The gained insights contribute to supply chain scheduling theory, providing advanced insights into dynamics of the whole supply chains (and not any dyadic relations in them) and transition from a partial "one-way" schedule optimization to the feedback loop-based dynamic and adaptive supply chain planning and scheduling.

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Section: State Of the Artmentioning

confidence: 99%

Dynamic supply chain scheduling

Ivanov

Sokolov

2010

J Sched

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“…Lu (1995) then generalized Goyal's (1988) model by relaxing the assumption that the supplier could supply the retailer only after completing the entire lot size. Many researchers (Goyal, 1995(Goyal, , 2000Ha and Kim, 1997;Viswanathan, 1998;Hill, 1999;Goyal and Nebebe, 2000;Woo et al, 2001;Pan and Yang, 2002;Khan and Sarker, 2002;Kim and Ha, 2003;Kelle et al, 2003;Yao and Chiou, 2004;Siajadi et al, 2005;Hoque, 2008;Sarker and Diponegoro, 2009;Glock, 2011Glock, , 2012 continued to propose more batching and shipping policies for integrated inventory models.…”

Section: Introductionmentioning

confidence: 98%

Optimal replenishment policy for an integrated inventory system with defective items and allowable shortage under trade credit

2012

International Journal of Production Economics

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“…Minner [14] reviews the literatures about multi-supplier inventory models based on Economic Order Quantity (EOQ) model. Recently, there are some new results about the multi-supplier problem, [15] and [16] for example. All these results are obtained by assuming that the final demand is a continuous function about time.…”

Section: Introductionmentioning

confidence: 99%

Optimal solutions for the economic lot-sizing problem with multiple suppliers and cost structures

Bai

2010

J. Appl. Math. Comput.

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This paper considers a multi-supplier economic lot-sizing problem in which the retailer replenishes his inventory from several suppliers. Each supplier is characterized by one of three types of order cost structures: incremental quantity discount cost structure, multiple set-ups cost structure and all-unit quantity discount cost structure. The problem is challenging due to the mix of different cost structures. For all cases of the problem where each supplier is characterized by one of the first two cost structures, some optimality properties are proposed and optimal algorithms based on dynamic programming are designed. For the case where all suppliers are characterized by all-unit quantity discount cost structures, it is hard to design a polynomial time algorithm by the analyzed optimal properties. However, it is proved that one of its special cases can be solved in polynomial time.

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Optimal production plans and shipment schedules in a supply-chain system with multiple suppliers and multiple buyers

Cited by 57 publications

References 38 publications

Dynamic supply chain scheduling

Dynamic supply chain scheduling

Optimal replenishment policy for an integrated inventory system with defective items and allowable shortage under trade credit

Optimal solutions for the economic lot-sizing problem with multiple suppliers and cost structures

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