Title: Developing Economy
1Developing Economy
Planning for Industrial Estate Development
2Economy of Malaysia
- Fast Growing
- Asia Economic Crisis
- Today
3In recent days, the worlds economy is sick!
- How did the sick come into being?
- Reasons
- Not arrive at the fag end, yet
4Model of Early Warning Systems
- 1.Cross - Country Regression
- 2.Probity Models
- Frankel and Rose Model
- Krueger, Osakwe and Page Model
- Esquivel, Larrain Model
- Kamin, Schindler and Samuel Model
- 3. Signal Approach
5RAPID ECONOMIC DEVELOPMENT IN DEVELOPING
COUNTRIES INEQUALITY IN INCOME DISTRIBUTION
ACHIEVING INDUSTRIAL GROWTH AND ECONOMICAL
GROWTH DISTRIBUTION OF INCOME
6GOOD WAY OF PROMOTING GROWTH
- ESTABLISHMENT OF INDUSTRIAL ESTATES
7PROBLEM DEFINITION
- considered in 1975-1990 in Malaysia
- Purpose reach optimal development of industrial
estates - Industrial lands are leased out to interested
entrepreneurs (revenue occurs) - also cost occurs
- transportation problem
8PROBLEM DEFINITION (continue)
17 SITES
- upper limits on sites
- each site have different advantageous
- For priority site, minimum size of land must be
developed
11 RURAL AREAS
6 URBAN AREAS
9DATA of PROBLEM
- 17 Sites, 11 of these has priority
- Cost- Revenue- Maximum amount of public land for
year 1
- cost and revenue decrease 10 per year
10DATA of PROBLEM (continue)
- demand for industrial land
- minimum required level of development
11MODEL- Decision Variables
- dt estimated demand for industrial land in year
t - ai maximum amount of public land available for
industrial development in site i - rit discounted revenue collectable per unit area
of industrial land leased out at site i in year - cit unit cost of developing industrial land at
site i in year t - bi(TI) minimum size of industrial land that must
be developed and leased out in priority site i by
the targeted year Ti - yit amount of developed industrial land leased
out from site at year t - eit net discounted cost of developing a unit of
land at site i and leased out in year t - Sites J1,2,3,17 Priority Sites
Jp1,2,3.11 - Years K1,2T T terminal year KK U T1
12MODEL- Objective function
13MODEL-Constraints
- Demand constraint
- Limited land availability constraint
14MODEL -Constraints
- Net Discounted Cost constraint
- Lower bound constraints for priority site
15CONVERSION OF MODEL
- First model ? Transportation Model
Converted
PURE TRANSPORTATION MODEL
16PURE TRANSPORTATION MODEL
28 source nodes
17PTM
16 sink nodes
18PTM- Decision Variables
- dt estimated demand for industrial land in year
t - ai maximum amount of public land available for
industrial development in site i - bi(TI) minimum size of industrial land that must
be developed and leased out in priority site i by
the targeted year Ti - eit net discounted cost of developing a unit of
land at site i and leased out in year t (for i ?
J, t ? K) - eitêit for i ? J, t ? K
- zit the shipment variables of enlarged network
for i ? J, t ? K - âiai- bi(TI) for i ? Jp
- âiai for i ? J-Jp and â bi(TI) for i ?
m1,,mk - J JUm1,,mk)
19PTM- OF and Constraints
20 21Constructing Our Model
- next year value lt previous year value
22Constructing Our Model
- next year value lt previous year value
23Constructing Our Model
- Deleting Slack Variables
- More understandable lettering
24Constructing Our Model
- To construct an LP model, variable e(it) is
calculated by hand
25 Alternative Model - Objective Function
26Alternative Model -Decision Variables
- dt estimated demand for industrial land in year
t - ai maximum amount of public land available for
industrial development in site i - rit discounted revenue collectable per unit area
of industrial land leased out at site i in year - cit unit cost of developing industrial land at
site i in year t - bi(TI) minimum size of industrial land that must
be developed and leased out in priority site i by
the targeted year Ti - yit amount of developed industrial land leased
out from site at year t - eit net discounted cost of developing a unit of
land at site i and leased out in year t - Sites J1,2,3,17 Priority Sites
Jp1,2,3.11 - Years K1,2T T terminal year KK U T1
27Alternative Model -Constraints
- Demand constraints
- Limited land availability constraints
SAME
28Alternative Model - Constraints
- Cost constraints
- Lower bound constraints for priority sites
29To reach optimum solution
- Model is performed in GAMS 22.9
SOLUTION
30RESULT
Objective Function Value
161.09 YTL
31Analysis of Result
- X shows that, site i is leased out in year t
(yit) - e.g site 10 is leased out in year 12
32Analysis of GAMS output
- Demand constraint is satisfied!!
33Analysis of GAMS output
- assigned values maximum amount of available
land!!!
34Analysis of GAMS output
- minimum level of land is satisfied for priority
sites!!
35Sensivity Analysis
- If the RHS of demand constraint for year 1 is
changing,i.e.demand of first year is replaced to
400 - New Z value can be found by the help of shadow
price - Z(new) Z(old) shadow price(marjinal) ?
- ? new RHS value old RHS value
36Sensivity Analysis
- Z new -163439
- Znew -161039 -24(400-300)
For minimum problems if RHS is increased and the
majinal value is negative, objective function is
decreased
37Sensivity Analysis
- If applying similar steps for positive marjinal
value, then the objective function is increased