3. Company Overview
Attributable blast in the media communications industry.
The data innovation upset
Giving services companies such as Intel, Cisco, and Texas
Instruments
9. -system
This system requires
continual monitoring of
inventory levels.
Less safety stock is
required because
demand during only the
lead time must be
covered.
Fixed order quantities are
desirable or, in some
cases, mandatory.
Review and
replenishment intervals
can be set on an item-by-
item basis.
10. 2 3 4 5 6 7 8 9 10
1
-system
Review on-hand quantity of an item
after a stated number of periods
It is easier to combine orders to same supplier,
which may reduce per unit purchase and/or
transportation costs.
Reordering at fixed intervals often is convenient.
Inventory position must be known only at review
time; thus, a perpetual inventory system is not
required.
11. DAY
S t a n d a r d
D i v i a t i o n
To t a l
D e m a n d
D a i l y Av g .
D e m a n d
X - M E A N
( X - M E A N ) ²
VA R I A N C E
6 0
5 5 5 9 7
9 2 6 . 6 1 6 6 6 6
7
- 4 . 5 4 7 4 7 E -
1 3
9 3 0 3 4 8 . 1 8 3
3
1 5 7 6 8 . 6 1
1 2 5 . 5 7
TOTAL
13. Daily Average Demand: (55597÷60) = 927
D=927*365=338,355
X-Mean = -4.5474
Standard Deviation = 125.57
(X-Mean) 2 = 930348.18
Variance = 15768.613
Given,
On-hand inventory = 1700
Per unit cost = $10
Ordering cost = $200 per
order
Holding cost = $0.05 per
unit daily, (0.05*365) =18.25
Lead time = 2days
Shortage cost = $2per unit
daily
Cycle service level = 95%
14. Average Demand
𝑑= 927
Economic Order Quantity (EOQ):
2𝐷S
H
=
2∗927∗365∗200
18.25
,
=2723.233 or 2724
Time between Orders (Based on EOQ)
TBO =
𝐸𝑂𝑄
𝐷
*365
=
2724
338355
*365
= 2.938 0r 3 days
15. Standard Deviation of Average Demand
𝜎𝑑 = 126
Standard Deviation Demand during Lead
Time
𝜎𝑑𝐿𝑇 = 𝜎2𝐿= 𝜎d 𝐿
So,
𝜎d 𝐿= 126 2
= 178
Safety Stock
Z*𝜎𝑑𝐿𝑇 = 1.64*178
= 291.92 or 292
Re-order Point
𝑑*L + Safety Stock
= (927*2) +292
= 2146
Total Q System Cost:
C =
𝑄
2
𝐻 +
𝐷
𝑄
𝑆 +
(𝐻)(𝑆𝑎𝑓𝑒𝑡𝑦 𝑆𝑡𝑜𝑐𝑘)
=
2724
2
(18.25) +
338355
2724
(200) + (18.25 ∗
292)
= $55028.011
18. Let,
Time between order=P
Protection interval = P+L
=3+2
=5days
Average demand during protection
interval
𝑑(𝑃 + 𝐿) = 927(3+2)
= 4635
Standard deviation of demand during
protection interval:
𝜎𝑃+𝐿= 𝜎𝑑
𝑃 + 𝐿
= 126 3 + 2
= 281.74 0r 282
Safety Stock
𝑧𝜎𝑃+𝐿 = 1.64*282
= 462.48 or 463
Target inventory level (T)
Average demand during
protection interval + Safety
Stock
𝑑(𝑃 + 𝐿)+ 𝑧𝜎𝑃+𝐿
= 4635+463
= 5098
19. Order Quantity
Target inventory – Inventory position
=5098-1700=3398
Total P System Cost
C =
𝑑𝑝
2
𝐻 +
𝐷
𝑑𝑝
𝑆 + (𝐻)(𝑆𝑎𝑓𝑒𝑡𝑦 𝑆𝑡𝑜𝑐𝑘)
=
927∗3
2
(18.25) +
338355
927∗3
(200) + (18.25 ∗
463)
=58159.708
20. Determine
Continuous Inventory(Q) is preferable
Periodic Inventory > Q-system
Holding expense will be less alongside the shortage cost
EOQ level which is 2724 unit of DRAM
For safety stock, 292 unit should be maintained