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8/12/2019 7-Coordinated Inventory Management
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COORDINATED INVENTORYMANAGEMENT
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CONTENTS
General Introduction to InventoryManagement
Inventory Models for Smooth Demand:With and without coordination
Inventory Models for Seasonal Demand:With and Without Coordination
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Inventory Exists In Many Places
Throughout The Supply Chain
Supplier Manufacture Distributor Retailer
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There are a number of reasons whyinventory exists:
To obtain economies of scale To prevent for uncertainty / to
achieve higher service level
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FUNGSI PERSEDIAAN :
Mengurangi ketergantungan antar tahap dalam matarantai sistem produksi
Mengantisipasi kemungkinan terjadinya gangguanyang berupa keterlambatan pasokan atauberhentinya aktivitas dalam sistem produksi.
Mengantisipasi tejadinya kenaikan harga barangkarena inflasi.
Mengantisipasi terjadinya stock outkarenapermintaan melebihi perkiraan.
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Types of Inventory
Based on their status:
Raw Material
Work In-Process (WIP)
Finished Goods
Based on their functions:
Pipeline / in-transit inventory
Cycle stock
Safety stock
Anticipation stock
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Types of Inventory (2)
Berdasarkan Sifat Ketergantungan Kebutuhan
Independent Demand kebutuhan akan suatu item barang
tidak tergantung item yang lain.
Dependent Demand kebutuhan akan item tertentu
tergantung/terkait pada kebutuhan terhadap item yang lain.Ketergantungan antar item bisa berbentuk :
ketergantungan vertikal : mis. kebutuhan dari komponenpenyusun subrakitan/ produk jadi.
ketergantungan horizontal : mis. kebutuhan dr komponen
pelengkap (bahan pembantu) yang menyertai produk.
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Alat ukur persediaan
1. Tingkat perputaran persediaan (inventory turnover rate)seberapa cepat produk mengalir relatif terhadapjumlah yang rata-rata tersimpan sebagai persediaan
2. Inventory days of supply rata-rata jumlah hari suatu
perusahaan bisa beroperasi dengan jumlah persediaanyang dimiliki
3. Fill rate persentase jumlah yang tersedia ketika adapermintaan
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Inventory Models For Items
With Stable Demand
Models withoutcoordination
Models withcoordination
between buyer andsupplier
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Finding Optimal Order Quantity
Assumption
When a type of item is consumed quite continuouslyin almost a constant rate, there is a simple model toapply to determine the optimal order quantity suchthat the total inventory cost is minimum.
If ordering cost is high, people tend to order less frequently toreduce total order cost. If inventory holding cost is high, ordersmaller quantity so that lower average inventory is held.
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How Large Should Your Orders
Be? If your orders are too large, youll have excess
inventory and high holding costs
If your orders are too small, you will have to placemore orders to meet demand, leading to high orderingcosts
Order Size Holding Costs Ordering CostsToo LARGE High LowToo SMALL Low High
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Ordering cost perperioda = frekuensi pemesanan
dalam 1 perioda x C =
Purchase costperperioda = jumlah kebutuhanperperioda x P = DP
Holding costperperioda = rata-rata banyaknya barang
yang disimpan perperioda x H =
Total cost inventory: TC = + DP +
TC akan minimum jika : = dan
CQ
D
H
Q
2
CQ
DH
Q
2
0dQ
dTC0
2
2
Qd
TCd
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The model:
Total cost = Order cost + Holding cost
HQ
CQ
DQTC
2)(
H
CDQ
2*
Where D = annual demandC = order cost
H = inventory holding cost
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An Example
A baking company produces bread usingflour as main raw material. The companyon average uses 1 ton flours a day
(1 year = 365 days). Costs for placing anorder is about Rp. 250.000. The price for1 ton flour is Rp. 5.000.000,- Annual
inventory holding cost is about 25% ofthe inventory value. Determine optimalorder quantity.
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EOQ WITH COORDINATION
The weakness of the traditional EOQ isthat it views cost from the perspective ofthe buyer only.
If there is cost incurred to the supplierassociated with each order placed by thebuyer, an integrated model can be
developed.
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The Model
Optimal order quantity from both sides is:
Where:
Cs= fixed order processing cost incurred to thesupplier
Cb= fixed order cost incurred to the buyerD = annual demand
Hs= inventory holding cost to the supplier
Hb= inventory holding cost to the buyer
)(
)(2
bs
bs
HH
DCCQ
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Contoh
Demand in a year = 365(Buyer) Order cost = Rp. 250.000(Buyer) Price = Rp. 5.000.000(Buyer) Inventory holding cost = 25%
(Supplier) Order processing cost = Rp. 1.000.000(Supplier) Inventory holding cost = Rp. 1.100.000Tentukan berapa optimal order quantity danongkos-ongkos yang ditanggung oleh buyer,
supplier, maupun total keduanya bila:1.Tidak ada integrasi
2.Ada integrasi antara buyer dan supplier
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Solusi
Tanpa Koordinasi Dengan Koordinasi
EOQ 12 Ton 20 Ton
Total ongkos pembeli 15.10 Juta 17.06 Juta
Total ongkos pemasok 37.02 Juta 29.25 Juta
Total ongkos sistem 52.12 Juta 46.31 Juta
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Joint Ordering Policies: An Example
For Products With Stable Demand
Demand in a year = 10000(Buyer) Order cost = 200(Buyer) Inventory holding cost = 4
(Supplier) Order processing cost = 800(Supplier) Inventory holding cost = 3
Tentukan berapa optimal order quantity
dan ongkos-ongkos yang ditanggung olehbuyer, supplier, maupun total keduanyabila:
1.Tidak ada integrasi
2.Ada integrasi antara buyer dan supplier
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Reorder Point
When there is a lead time, EOQ should beapplied under a reorder point scheme.Reorder point is an inventory position where acompany should place an order. When leadtime is l periods and demand per period is dthen the reorder point is demand during leadtime, that is:
d x l For example, if lead time for ordering flour is
one week, determine reorder point.
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Dealing with Demand Uncertainty
When demand and or lead time isuncertain, extra inventory is usually
provided to cope with demanduncertainty. Thus, reorder pointshould include safety stock as
follows:ssdxlROP
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Safety Stock
If demand variability follows a normal distributionaround the average level, demand uncertainty isrepresented by the standard deviation of demand.Furthermore, safety stock affects the service level.Thus, when setting a safety stock level, a service level
target should be determined. Safety stock is thedetermined by the following formula:
where k (SL) is a number in a standard normaldistribution representing that there is a probability ofSL that demand is less than or equal to k, while isthe standard deviation of demand. The values of k fordifferent SL can be obtained in a normal inverse table.
For example, if k = 1.645, SL = 95%.
xSLks )(
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Standar deviasi untuk lead time dan
permintaan yang tidak pasti
)
Safety stock ditentukan oleh
Ketidakpastian permintaan
Safety stock ditentukan oleh
interaksi dua ketidakpastian
Tidak diperlukan safety stock,
Situasi deterministik
(
Safety stock ditentukan oleh
Ketidakpastian lead time
Permintaan
Lead Time
variabel
variabel
konstan
konstan
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Hitung safety stock yang dibutuhkan dan berapa nilai ROPuntuk tepung terigu dengan lead time pengirimanberdistribusi normal dengan rata-rata 5 hari dan standardeviasi 0,5 hari dan permintaan per hari rata-rata 1 ton
dengan standar deviasi 0,1 ton.? Manajemen menetapkanservice level 95%.
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INVENTORY MODELS FOR ITEMS WITH
SEASONAL DEMAND AND/OR LIMITED LIFE
Model without coordination
Model with coordination between
buyer and supplier
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Examples of Inventory with Seasonal Demand or
Inventory with Limited Lifetime
Newspapers and Magazines
Vegetables, fresh milk, fresh foods, etc.
Fashion products Innovative high tech products: digital
camera, mobile phone, computers
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Tradeoff
Here, unlike for products with stabledemand, the tradeoff is not betweenordering and inventory holding costs,
but between: overstocking and shortagecosts.
Overstockingproducts sold with
markdown costs or even disposed Shortagelost of opportunity and
lost of future customers
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BASIC MODEL:
NEWSBOY INVENTORY PROBLEM
For items with limited life, indetermining purchasing or productiondecisions, we balance the overstocking
and understocking costs. Overstockingcost is not just inventory holding cost,but could also be costs due to very low
or zero selling price for the products.Understocking cost is cost associatedwith the lost of selling opportunity.
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Newsboy Model
Ritel
c = harga
per unit dari
supplier
p = harga jual
normal per
unit
s = harga
jual diskon
per unitIf the overstocking cost is Co and understockingcost is Cu then the optimal service level is:
Co = c-s dan Cu = p-c
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Optimal Order Quantity
If demand is normally distributed with meanand standard deviation then the optimal orderor production quantity is:
If the overstocking cost is Co andunderstocking cost is Cu then the optimalservice level is:
Where k(SL*) is the inverse normaldistribution, can be found in normal table.
*)(* SLkQ
CoCu
Cu
SL *
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Joint Ordering Policies
Principle:
Consider costs more broadly. The overstockingcost is the real cost incurred, from the supply
chain perspective, for stocking one unit ofextra inventory.
The understocking cost is the opportunity costincurred for one unit shortage from theperspective of the supply chain.
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Example Garment distributor in USA is determining how many
shirts are to be ordered from Indonesia for a sellingseason in Summer 2002. The selling price for a shirt is$35 if sold during the summer. If not, the shirts have to
be sold in a discount price of $10. The distributor hasto pay $17.5 for one shirt to the manufacturer. Thecost already includes delivery. Demand for the shirts isestimated to follow a normal distribution with mean
1000 and standard deviation 300. Determine:
The optimal service level for the distributor
The optimal number of shirts to be ordered.
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MODEL FOR JOINT ORDERING
POLICIES
SUPPLIER RETAILER
v = 15 c = 17.5 p = 35
s = 10
For Retailer:Co = c-s = 7.5
Cu = p-c = 17.5
For Supply Chain:Co = v-s = 5
Cu = p-v = 20
Optimal service level = Cu/(Co+Cu)
For retailer alone, SL*= 17.5/25 = 70%
For supply chain, SL* = 20/25 = 80%
Suppose that the costs associated with producing oneunit of item at the manufacturer is $15.
l d f ff
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Optimal Order for Different
SituationHitung
Tanpa
Koordinasi
Dengan
KoordinasiPerubahan
SL* 70% 80% 10%
Q 1157 1253 96
Keuntungan Ritel
(Ekspektasi)Keuntungan pabrik
Keuntungan Total
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Steps Dalam Melakukan Simulasi (Silakan dicoba)
Generate demand (D) yang berdistribusi normaldengan mean 1000 dan standar deviasi 200. PadaExcell ini bisa dilakukan dengan perintah:
=Round(NORMINV(Rand(), 1000, 200),0).
Profit supplier (SP) yang besarnya = Q * 2 dimana Qadalah order quantity dari buyer.
Profit untuk buyer (BP) adalah Q * 5 kalau Q kurangdari permintaan dan D * 5 (Q-D)*3 kalau Q lebih
dari D. Pada EXCELL formulasinya adalah:
=Min(Q,D)*5 Max(0,(Q-D))*3
Hitung total profit = BP + SP.
Lakukan untuk Q = 1066 maupun 1235.
h d k h
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What is required to make the
models work?
Willingness to share costs data
Willingness to work together toestablish joint plan
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Tidak ada metrik kinerja yang jelas
Status pesanan tidak akurat
Sistem informasi tidak handal
Kebijakan persediaan sederhana & mengabaikanketidakpastian
Biaya persediaan tidak ditaksir dengan benar
Keputusan SC tidak terintegrasi
Hambatan dalam Management Inventory
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