An integrated model for lot sizing with supplier selection and quantity discounts

Lee, Amy H. I.; Kang, He‐Yau; Lai, Chun‐Mei; Hong, Wan-Yu

doi:10.1016/j.apm.2012.09.056

Cited by 105 publications

(58 citation statements)

References 56 publications

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“…It starts with an initial set of solutions, whereas in the evolution process, new solutions are generated through different operators like crossover and mutation. Literatures are available on the application of GA in inventory system such as multi-criteria inventory classification [36], single item dynamic lot sizing problem [37], optimization of discounted multi-item inventory model [40], optimized replenishment polices for single-warehouse-multi-retailer system [39] and lot sizing with supplier selection and quantity discounts [40]. Table 3 shows the input parameters used in the GA toolbox of MATLAB.…”

Section: Application Of Genetic Algorithm To Solve the Proposed Mathementioning

confidence: 99%

Achieving Supply Chain Coordination Through Lot Size Based Discount

Routroy

Dixit²,

Kumar

2015

Materials Today: Proceedings

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Section: Application Of Genetic Algorithm To Solve the Proposed Mathementioning

confidence: 99%

Achieving Supply Chain Coordination Through Lot Size Based Discount

Routroy

Dixit²,

Kumar

2015

Materials Today: Proceedings

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“…Tujuan yang ingin dicapai dari penelitian ini adalah untuk meminimumkan holding cost dan ordering cost, yang diasumsikan sama untuk setiap supplier. Model mixed integer juga digunakan oleh Lee et al [13] untuk menentukan lot size yang optimal pada kasus multi-supplier, multi-period, dengan mempertimbangkan adanya quantity discount. Dalam hal ini permintaan dan lead time dari supplier diasumsikan deterministik dan telah diketahui sebelumnya.…”

Section: Metode Penelitianunclassified

Model Penjadwalan Pengiriman Pasokan pada Strategi Multi-Supplier dengan Variasi Harga dan Lead Time untuk Permintaan Stokastik

Masruroh

Prasetyorini

2015

jti

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Multi-supplier is one of the strategies to minimize holding cost and average stock-out cost as long as to stabilize the supply of raw materials. The common problems that the firms may face when applying the multi-supplier strategy are determining the right schedule and quantity ordered for each supplier. Complexity of the problem increases with the facts that each supplier may have different parameters, demand is uncertain, and the firms' constraints. Thus, this research is done to answer two main objectives: (1) to determine the optimum safety time (minimum raw material inventory) to prevent the stockout due to the demand uncertainty and (2) to determine the right schedule and quantity ordered for each supplier considering the different suppliers parameters: price, lead time, and supply capacity. The problem is modeled in Mixed Integer Linear Programming with total minimum inventory cost as the objective. With the aim of testing the model, a case of multinational company that apply the multi-supplier strategy is used.Keywords: Multi-supplier, mixed integer linear programming, inventory, scheduling, safety time. PendahuluanSalah satu tantangan dalam supply chain management adalah kemampuan mengontrol jumlah modal yang dimiliki, yang antara lain tersimpan dalam bentuk investasi inventory, baik bahan baku, work in process, maupun produk jadi (Arda dan Hennet [1]). Pengendalian inventory menjadi aktivitas yang sangat penting pada sebuah perusahaan karena biaya inventory dapat mencapai sekitar 20% hingga 40% total nilai tahunan (Ganeshan [2]). Salah satu faktor penting dalam pengendalian inventory adalah penentuan safety stock yang tepat. Safety stock adalah sejumlah inventory, khususnya bahan baku, yang dimiliki perusahaan untuk mencegah terjadinya stock out selama waktu pemesanan akibat adanya fluktuasi permintaan dan lead time pemesanan ke supplier. Penentuan tingkat safety stock yang dipengaruhi oleh lead time pemesanan menunjukkan bahwa kemampuan supplier dalam memenuhi pesanan menjadi faktor penting dalam melakukan pengendalian inventory. Hal inilah yang mendorong setiap perusahaan untuk merancang strategi dalam menggantungkan kebutuhan bahan bakunya kepada supplier.Pada awalnya banyak perusahaan yang menggunakan strategi single-supplier yang memudahkan per-1 Fakultas Teknik, Jurusan Teknik Mesin dan Industri, Universitas Gadjah Mada, Jl. Grafika 2, Kampus UGM, Yogyakarta 55281. Email: aini@ugm.ac.id, anggita.prasetyorini@gmail.com. * Penulis korespondensi usahaan dalam melakukan pengendalian kualitas dan memungkinkan terciptanya hubungan yang dekat antara perusahaan dan supplier. Namun saat ini, strategi tersebut mulai berkembang menjadi multi-supplier, yaitu strategi dimana perusahaan memiliki beberapa supplier yang memasok jenis bahan baku yang sama. Salah satu faktor perubahan tersebut adalah kebutuhan bahan baku yang semakin meningkat seiring dengan meningkatnya permintaan pelanggan yang berakibat pada meningkatnya kebutuhan bahan baku di lantai produksi. Selain itu, penerapan strategi multi-sup...

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“…Since the modeling of the lot-sizing problems with above-mentioned assumptions belongs to the family of NP-hard problems [13,14], an efficient GA is provided. In order to validate the proposed algorithm, it is implemented and analyzed on two data sets incorporating 20 samples, one consisting of small-scale sample problems with obtainable optimal solutions, and the other large-scale ones which their optimal solutions can not be reached through the exact method.…”

Section: Introductionmentioning

confidence: 99%

An integrated lot-sizing model with supplier and carrier selection and quantity discounts considering multiple products

2019

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Because of growing competition in the global markets and the vital role of suppliers in business success, the subject of supplier selection has attracted many researchers and practitioners during the recent years. In addition to the supplier selection, the order quantity discount provided by the suppliers, is considered through a new mixed-integer linear programming (MILP) model involving a manufacturer with multiple products and multiple purchasing items over multiple periods. According to the proposed model, the manufacturer purchases different amount of raw materials from selected suppliers in order to produce different products. Customers' demands are fulfilled by minimizing the total purchase, inventory, production, and transportation costs over a multi-period planning horizon. Since the problem is NP-hard, an efficient genetic algorithm (GA) is used to solve the large-scale real-world instances. The results are compared with results from the exact approach wherever possible in order to investigate the efficiency of the algorithm. Biography:Notes Values D pt ~ uni [20, 50] O jt ~ uni [80, 150] P ijkt ~ uni [10, 30] h it ~ uni [2, 5] H pt ~ uni [4, 9] PR pt ~ uni [10, 20] CV jlt ~ uni [50 , 90] B ijkt 100, 300, 1000 CR t ~ uni [800, 1500] CP t ~ uni [100, 200] CS ijt ~ uni [300, 900] t p ~ uni [2, 5] T t ~ uni [400, 800] α ip ~ uni [1, 5] W i ~ uni [1, 7] UV l ~ uni [50, 100] UNV lt ~ uni [30, 60]

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An integrated model for lot sizing with supplier selection and quantity discounts

Cited by 105 publications

References 56 publications

Achieving Supply Chain Coordination Through Lot Size Based Discount

Achieving Supply Chain Coordination Through Lot Size Based Discount

Model Penjadwalan Pengiriman Pasokan pada Strategi Multi-Supplier dengan Variasi Harga dan Lead Time untuk Permintaan Stokastik

An integrated lot-sizing model with supplier and carrier selection and quantity discounts considering multiple products

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