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Planning for success?
Kjetil K. Haugen
Applied Economics
SINTEF
N-7034 Trondheim
Norway
E-mail: kh@iok.unit.no
Motivation
•

Lack of real-world ORapplications
– Generally in OR
– Especially in Stochastic
Optimization

•

WHY?
Goal
•

•

•

Discuss some traditional
explanations
Present a Stochasticoptimization-specific
explanation
This is done by the aid of a
simple example
Example
Exp.profits

Profits

2)
and (0.
50 High dem
Low dem
and (0.8)
e
g
ar
)
L
yes
High nd (0.2
a
dem
no
Expand.
Low dem
and (0.8
)
51

Sm
al
l

2)
and (0.
em
High d

Low d
emand
45
(0.8)

90
46
87
67
42
45
45
Solution

)
High nd (0.2
a
dem
Expand.
Low dem

yes

and (0.8
)
R. Ackoff ‘s arguments
•

•

•

•

... and executives were not fools
enough to use them ...
... not as obsessed with the
techniques nor as immune to
reality as the professionals.
A second effect of the techical
perversion of OR ...
... is that OR has been equated
by managers to mathematical
masturbation
• from «The future of operational
research is the past» and
«Presidents symposium: or, a Post
mortem»
Stochastic Optimization
•
•

•

The need for more data
The «real» cost of contingent
solutions
The competitive argument
The need for more data
•

Introduction of stochastic
variables leads to:
– more data to be gathered
– more estimation to be made
¨ increased costs

•

Hence;
– more disagreeing possibilities
between agents
¨ increased costs
The «real» cost of
contingent solutions
•

•

Contingent (stochastic)
solutions - depends on future
events
Non-contingent (deterministic)
solutions - indpendent of future
events
¨ «contingency costs»
«Contingency costs»
•

Deterministic solution to the
example:
– Build a large factory in a certain
year at a cost C(D)

•

Stochastic solution to the
example:
– Build an expandable factory in a
certain year and if the next years
demand is high, expand the
factory if not, do nothing.

•

What is the cost of this (C(S))
– Is C(S) > C(D)?
Different «contingency
costs»?
•

If C(S) > C(D)
¨ C(S1) differs from C(S2)
¨Huge cost estimating problem
The competitive
argument
•

Assumptions:
– Several agents, some without
knowledge of stochastic
optimization. To types:
•
•

Sane (choose the large factory)
Insane (choose the small factory)

– Situation - «winner takes all»
• Insanity may just mean an
subjuctive estimate of the
probability of high demand < 0.1
Ex-post profits for
various agents
Factory
Type
Large

Demand
High

Ex-post
profits
90

Expandable
Small

Demand

87

Low

45

Expandable

Demand

42
Consequences
•

•

The stochastic strategy is not
ex-post optimal (which it also
should not be)
The stochastic strategy is a sure
loosing-stratgy
Final comments
•

•

•

•

Existence of stochastic elements
does need to imply hedging
strategies
Stochastic optimization may be
the worst tool to use in certain
situations
Manager’s reluctancy to use SO
may be linked to these
considerations
Managers may not be as foolish
as some of us like to believe

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Planning for success with stochastic optimization

  • 1. Planning for success? Kjetil K. Haugen Applied Economics SINTEF N-7034 Trondheim Norway E-mail: kh@iok.unit.no
  • 2. Motivation • Lack of real-world ORapplications – Generally in OR – Especially in Stochastic Optimization • WHY?
  • 3. Goal • • • Discuss some traditional explanations Present a Stochasticoptimization-specific explanation This is done by the aid of a simple example
  • 4. Example Exp.profits Profits 2) and (0. 50 High dem Low dem and (0.8) e g ar ) L yes High nd (0.2 a dem no Expand. Low dem and (0.8 ) 51 Sm al l 2) and (0. em High d Low d emand 45 (0.8) 90 46 87 67 42 45 45
  • 6. R. Ackoff ‘s arguments • • • • ... and executives were not fools enough to use them ... ... not as obsessed with the techniques nor as immune to reality as the professionals. A second effect of the techical perversion of OR ... ... is that OR has been equated by managers to mathematical masturbation • from «The future of operational research is the past» and «Presidents symposium: or, a Post mortem»
  • 7. Stochastic Optimization • • • The need for more data The «real» cost of contingent solutions The competitive argument
  • 8. The need for more data • Introduction of stochastic variables leads to: – more data to be gathered – more estimation to be made ¨ increased costs • Hence; – more disagreeing possibilities between agents ¨ increased costs
  • 9. The «real» cost of contingent solutions • • Contingent (stochastic) solutions - depends on future events Non-contingent (deterministic) solutions - indpendent of future events ¨ «contingency costs»
  • 10. «Contingency costs» • Deterministic solution to the example: – Build a large factory in a certain year at a cost C(D) • Stochastic solution to the example: – Build an expandable factory in a certain year and if the next years demand is high, expand the factory if not, do nothing. • What is the cost of this (C(S)) – Is C(S) > C(D)?
  • 11. Different «contingency costs»? • If C(S) > C(D) ¨ C(S1) differs from C(S2) ¨Huge cost estimating problem
  • 12. The competitive argument • Assumptions: – Several agents, some without knowledge of stochastic optimization. To types: • • Sane (choose the large factory) Insane (choose the small factory) – Situation - «winner takes all» • Insanity may just mean an subjuctive estimate of the probability of high demand < 0.1
  • 13. Ex-post profits for various agents Factory Type Large Demand High Ex-post profits 90 Expandable Small Demand 87 Low 45 Expandable Demand 42
  • 14. Consequences • • The stochastic strategy is not ex-post optimal (which it also should not be) The stochastic strategy is a sure loosing-stratgy
  • 15. Final comments • • • • Existence of stochastic elements does need to imply hedging strategies Stochastic optimization may be the worst tool to use in certain situations Manager’s reluctancy to use SO may be linked to these considerations Managers may not be as foolish as some of us like to believe